The larger of the two consecutive even perfect squares is $15,536$.
What is square?Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.
To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is $268$, so we can write the following equation:
$15,536 - 268 = 15,268$
This equation tells us that the larger of the two squares is $15,536$.
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The larger of the two consecutive even perfect squares is 15,536.
What is square?Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.
To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is 268, so we can write the following equation:
So, 15,536 - 268 = 15,268
This equation tells us that the larger of the two squares is 15,536.
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Find the slope of the line passing through the points (-6, -4) and (5, -4).
slope:
Find the slope of the line passing through the points (3, 3) and (3, -6).
slope:
you can use math away app
Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.
Question 5
The remaining interior angle is [tex]135^{\circ}[/tex].
[tex]\frac{x}{\sin 19^{\circ}}=\frac{32}{\sin 135^{\circ}}\\ \\ x=\frac{32 \sin 19^{\circ}}{\sin 135^{\circ}} \\ \\ x \approx 14.7[/tex]
Question 6
The remaining interior angle is [tex]27^{\circ}[/tex].
[tex]\frac{x}{\sin 27^{\circ}}=\frac{28}{\sin 75^{\circ}}\\\\x=\frac{28\sin 27^{\circ}}{\sin 75^{\circ}}\\\\x \approx 13.2[/tex]
Question 7
The remaining interior angle is [tex]59^{\circ}[/tex].
[tex]\frac{x}{\sin 59^{\circ}}=\frac{9}{\sin 70^{\circ}}\\\\x=\frac{9\sin 59^{\circ}}{\sin 70^{\circ}}\\\\x \approx 8.2[/tex]
Question 8
The remaining interior angle is [tex]95^{\circ}[/tex].
[tex]\frac{x}{\sin 33^{\circ}}=\frac{16}{\sin 95^{\circ}}\\\\x=\frac{16 \sin 33^{\circ}}{\sin 95^{\circ}}\\\\x \approx 8.7[/tex]
I don't understand how to solve this. How do I find out the "Solution Region"
The graph of the solution region for the system of inequalities can be seen on the image at the end.
How to find the solution region?The solution region refers to the region where all the points are solutions of the system of inequalities.
The system of inequalities here is:
y < -x - 2
y < (1/4)x + 2
Notice that the two lines are already graphed, and "y" is smaller than the lines, so we need to shade all the region below the two lines.
The intersection of the shaded regions will be the region of solutions, the graph can be seen in the image below.
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Find the missing lengths of the sides.
a = 3 in., b = 3v2 in.
6 a = 3 in., b = 3v3 in
a = 3 in., b = 9 in
a = 3v3 in., b = 3 v3 in.
The missing lengths of the sides a = 3 inches , b = 3√3 inches .
90 -60 -30 triangle .
We have given 90 -60 -30 triangle with hypotenuses = 6 in.
By the 90 -60 -30 triangle rule : The hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle and the length of the longer leg is 3√ times the length of the shorter leg.
Then Shorter leg = a longer leg = b.
Hypotenuse = 2 * Shorter leg .
Plug the values.
6 = 2 * Shorter leg .
On dividing both sides by 2
Shorter leg (a) = 3 inches .
Then by the rule : longer leg is 3√ times the length of the shorter leg.
Longer leg = 3√Shorter .
Longer leg (b) = 3√3 inches .
Therefore, a = 3 inches , b = 3√3 inches .
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One day eleven babies are born at a hospital. assuming each baby has an equal chance of being boy or girl, what is the probability that exactly eight of the eleven babies are girls?
The probability of getting exactly 8 girls out of 11 births is 21.9%.
The binomial probability formula is used to calculate the probability of getting a certain number of successes (in this case, girls) out of a fixed number of trials (in this case, 11 births).
The first part of the formula (11 choose 8) is the number of ways to choose 8 girls out of 11 births, which is 330.
i.e; (11 choose 8) * (0.5)^8 * (0.5)^3 = 330
The second part of the formula (0.5)^8 represents the probability of getting 8 girls out of 11 births assuming each birth has a probability of 0.5 of being a girl.
The third part of the formula (0.5)^3 represents the probability of getting 3 boys out of 11 births assuming each birth has a probability of 0.5 of being a boy.
i.e; (11 choose 8) * (0.5)^8 * (0.5)^3 = 330 * 0.00390625 * 0.125 = 0.21875
When we multiply all of these values together we get the final probability of getting exactly 8 girls out of 11 births, which is approximately 0.21875 or about 21.9%.
Therefore, the probability of getting exactly 8 girls out of 11 births is given by the binomial probability formula: (11 choose 8) * (0.5)^8 * (0.5)^3 = 330 * 0.00390625 * 0.125 = 0.21875 or about 21.9%.
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divide using polynomial long division
(x³ + x² + x + 2) : (x² − 1)
The required polynomial long division is shown, and the solution of the expression is given as x + 1 + [2x+ 3] / (x² − 1).
What is synthetic division?It is a method for performing the division of polynomials, with little writing and lesser calculations than complex division.
Here,
x² − 1) x³ + x² + x + 2 ( x + 1
x³ - x
----------------------
x² + x + x
x² + 1
------------------------------
2x + 1 + 3
Thus, the required polynomial long division is shown, and the solution of the expression is given as x + 1 + [2x+ 3] / (x² − 1).
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In a 30-60-90 triangle, the smallest side measures inches 6v10 inches. Which is the exact measure for the largest side? a. 12v10 inches b. 2v30 inches c. 3v10 inches a. 6v5 inches
The exact measurements for the largest side is 12√10 inches. Hence option a is the correct option.
What is the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
Given that the angles of a triangle are 30-60-90.
The smallest angle is always opposite the shortest side, and vice versa. The longest side is also opposite the largest angle, and vice versa.
The opposite side of angle 30 is the shortest side of the triangle.
The opposite side of angle 90 is the longest side of the triangle.
Sine law:
a/sin A = b/ sin B =c/sin C
a is the opposite side of angle A, b is the opposite side of angle B, c is the opposite side of angle C.
Assume that the length of the longest side is a.
Applying sine law in the given triangle:
6√10/sin 30 = a/sin 90
6√10/(1/2)= a/1
a = 12√10
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HELP ME ASAP ILL MARK BRAINLIEST!! HELP ME NOW!!!!!!
Answer:
P is equal to or greater than 27
(c)
Step-by-step explanation:
You and your friends earn (14h+5c) dollars for washing h houses and c cars last month you washed 10 houses and your friend washed 28 cars who earned more money you,your friend, or neither
Step-by-step explanation:
first
for washing 10 houses we get (14*10) dollars which is 140
now for washing cars ur frirnd gets (28*5) which is also 140
so u both earn the same amount
hence the answer is neither.
3. Vera's annual salary is $67,000. If this is 125% of her
starting salary at the company, what was her
starting salary?
A. $48,200
B. $49,800
C. $51,200
D. $53,600
4. Wh
Answer: Vera's starting salary at the company was $53600.
Step-by-step explanation:
We can start by using the following proportion:
(Current salary) / (Starting salary) = (Percent increase) / 100
So we can write:
67,000 / Starting salary = 125 / 100
To find the starting salary we can cross-multiply and divide:
67,000 = (125 * Starting salary) / 100
67,000 * 100 = 125 * Starting salary
67,000 * 100 = 125 * Starting salary
67,000,000 = 125 * Starting salary
Starting salary = 67,000,000 / 125
- C
Evaluate.
[2−∣∣−14−2(−35)∣∣]÷(−6)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
GIVING 100
Answer:
The solution of the mathematical expressions will be 0.175.
Step-by-step explanation:
Given that;
The mathematical expressions are,
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Now,
Solve the mathematical expression as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Using the BODMAS rule to solve the expressions as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6
⇒ [ 2 - 19/20 ] ÷ -6
⇒ [ 21/20] ÷ -6
⇒ 21/20 x 1/-6
⇒ - 7 / 40
Therefore,
The solution of the mathematical expressions will be 0.175.
But you didn't have to cut me off
Make out like it never happened and that we were nothing (aah-ooh)
And I don't even need your love (ooh)
But you treat me like a stranger, and that feels so rough (aah)
No, you didn't have to stoop so low (ooh)
Have your friends collect your records and then change your number (aah)
I guess that I don't need that, though
Now you're just somebody that I used to know
Answer:
[tex]-\dfrac{7}{40}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left[2-\left|-\dfrac{1}{4}-2\left(-\dfrac{3}{5}\right)\right|\right] \div (-6)[/tex]
Carry out the operations inside the absolute value bars (following the order of operations):
[tex]\implies \left[2-\left|-\dfrac{1}{4}+\dfrac{6}{5}\right|\right] \div (-6)[/tex]
[tex]\implies \left[2-\left|\dfrac{19}{20}\right|\right] \div (-6)[/tex]
As the fraction inside the absolute value bars is already positive, we can simply remove the bars:
[tex]\implies \left[2-\dfrac{19}{20}\right] \div (-6)[/tex]
Rewrite 2 as 40/20 and carry out the subtraction inside the square brackets:
[tex]\implies \left[\dfrac{40}{20}-\dfrac{19}{20}\right] \div (-6)[/tex]
[tex]\implies \left[\dfrac{40-19}{20}\right] \div (-6)[/tex]
[tex]\implies \left[\dfrac{21}{20}\right] \div (-6)[/tex]
Rewrite -6 as a fraction:
[tex]\implies \dfrac{21}{20} \div -\dfrac{6}{1}[/tex]
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:
[tex]\implies \dfrac{21}{20} \times-\dfrac{1}{6}[/tex]
[tex]\implies \dfrac{21 \times (-1)}{20 \times 6}[/tex]
[tex]\implies -\dfrac{21}{120}[/tex]
Reduce the fraction to its simplest form by dividing the numerator and denominator by the highest common factor, 3:
[tex]\implies -\dfrac{21 \div 3}{120 \div 3}[/tex]
[tex]\implies -\dfrac{7}{40}[/tex]
turner made spiced apple cider for a holiday party and divide it evenly among 12 mugs. each mug had more than 10 fluid ounces of apple cider. let x represent how much apple cider turner made. which inequality describes the problem?
x/12 > 10 is the inequality that describes the problem. This inequality represents the fact that Turner made more than 10 fluid ounces of apple cider, and that he divided that amount evenly among 12 mugs.
Algebra is a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. This article traces the development of the equation notion, number systems, symbols for representing and modifying mathematical claims, and the contemporary abstract structural perspective of algebra.
The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention.
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Help me pleaseeeeeeeeeee
The absolute value graph shifted to the right 5 units is
A |x - 5|What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
Translation has to do with the following movements
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate.
While the left and right movements are on the horizontal direction controlled by the x coordinate.
The movement represented by the absolute value equation |x - 5| is is translation 5 units right
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|
When Alan Sheperd hit the golf ball on the moon, it traveled in a projectile arc and
eventually sailed to the ground. If Alan was to do the same shot on earth, how would the golf
ball's height and distance compare to the shot on the moon?
more height and less distance
more height and more distance
O less height and less distance
less height and more distance
On Earth, the golf ball would travel much farther and higher than on the moon due to the difference in gravity. On the moon, the gravity is only 1/6th the strength of Earth's, making it much easier for the golf ball to travel farther and higher. On Earth, the golf ball would travel farther and higher due to the stronger gravitational pull.
43. At the beginning of the month, Emika had $24 in her school cafeteria account. The table below
shows how her account balance changed over the course of three weeks. (Positive change means
money she added into her account, while negative change means money she spends.)
1.
2
Week
1
2
3
Beginning
Balance
($)
24
8
-18
Final
Balance
($)
8
-18
Change
($)
16
26
-12
Expression to show your work
24-16 = 8
8-26-18
-18--12-6
Complete the table for weeks 2-3.
How much would Emika have to deposit into the account during week 4 so that the final
balance is positive?
Answer:go to teacher 56
Step-by-step explanation:
pop op
a researcher plans to use a random sample of families to estimate the mean monthly family income for a large population. the researcher is deciding between a 95% confidence level and a 99% confidence level. compared to a 95% confidence interval, a 99% confidence interval will be...
Compared to a 95% confidence interval, a 99% confidence interval will be wider.
A confidence interval is a range of values that is likely to contain the true population mean, with a certain level of confidence.
The level of confidence is usually represented as a percentage, such as 95% or 99%. The higher the level of confidence, the wider the confidence interval will be. This is because a higher level of confidence means that the researcher wants to be more certain that the true population mean falls within the interval, so they will make the interval wider to increase the chances of this happening.
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Help me please thx sm
Answer:
yes to all 3
Step-by-step explanation:
A
3z = 21 ( isolate z by dividing both sides by 3 )
z = 7
B
n + 14 = 36 ( subtract 14 from both sides )
n = 22
C
[tex]\frac{3}{4}[/tex] v = 12 ( multiply both sides by 4 to clear the fraction )
3v = 48 ( divide both sides by 3 )
v = 16
which of the following statements are true? (a) a quadrilateral is a parallelogram if it is a rhombus. (b) a quadrilateral is a rhombus if it is a parallelogram. (c) a quadrilateral is a parallelogram if and only if it is a rhombus. (d) a quadrilateral is a rhombus if and only if it is a parallelogram.
Among all the given statements for quadrilateral and parallelogram, none of the statements is true.
A rhombus is a quadrilateral with all sides of equal length, while a parallelogram is a quadrilateral with opposite sides parallel and equal in length.
(a) a quadrilateral is a parallelogram if it is a rhombus.
False, A rhombus is a quadrilateral with all sides of equal length and opposite sides parallel, so it is a parallelogram but not all parallelograms are rhombus.
(b) a quadrilateral is a rhombus if it is a parallelogram.
False, A parallelogram is a quadrilateral with opposite sides parallel and equal in length, so it may be a rhombus but not all parallelograms are rhombus.
(c) a quadrilateral is a parallelogram if and only if it is a rhombus.
False, A rhombus is a quadrilateral with all sides of equal length and opposite sides parallel, so it is a parallelogram but not all parallelograms are rhombus.
(d) a quadrilateral is a rhombus if and only if it is a parallelogram.
False, A parallelogram is a quadrilateral with opposite sides parallel and equal in length, so it may be a rhombus but not all parallelograms are rhombus.
Hence none of the above statements is true.
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m
A line passes through the point (-8, 7) and has a slope of
Write an equation in point-slope form for this line.
The equation of the line in point-slope form is obtained as y = (5/4)x - 20.
What is the point-slope form?
Point-slope is the general form of a linear equation which is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
The line passes through point (x1,y1) = (-8,-7)
The slope of the line is m = 5/4.
The formula for point-slope form of equation is -
y-y1=m(x-x1)
Substituting the values in the equation -
y - (-7) = 5/4[x - (-8)]
y + 7 = 5/4 (x + 8)
4(y + 7) = 5(x + 8)
4y + 28 = 5x + 8
4y - 5x = 8 - 28
4y - 5x = -20
4y = 5x -20
y = (5/4)x - 20
Therefore, the equation is obtained as y = (5/4)x - 20.
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Please answer all of these. Thank you :)
Answer:
a.x²+4x+4
=x²+2x+2x+4
=X(X+2)+2(X+2)
=(X+2)(X+2)
=(X+2)²
b.x²-12x+27
=x²-9x-3x+27
=X(x-9)-3(x-9)
=(x-9)(x-3)
c.x²-x-42
=x²-7x+6x-42
=X(x-7)+6(x-7)
=(X+6)(x-7)
d.x²+8x-9
=x²+9x-x-9
=X(X+9)-1(X+9)
=(x-1)(X+9)
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A regular octagon $ABCDEFGH$ has an area of one square unit. What is the area of the rectangle $ABEF$
The area of the rectangle ABEF = 2sa = 2ss/(2*tan(180/8)) = s^2/(tan(180/8)).
What is an octagon?
An octagon is a polygon with eight straight sides and eight angles. It is a closed two-dimensional shape with eight sides of equal length. A regular octagon is an octagon in which all sides and angles are equal.
When it comes to the area of a regular octagon, the area of a regular polygon can be calculated using the formula
A = (ns^2)/(4tan(180/n)) where A is the area, n is the number of sides and s is the length of each side.
In case of a regular octagon, the area of an octagon is (8s^2)/(4tan(180/8))
A rectangle ABEF is made up of two congruent sides with the length of the side of the octagon, and two congruent sides with the length of the apothem of the octagon.
An apothem of a regular polygon is the distance from the center of the polygon to the midpoint of any side. The apothem of a regular octagon can be calculated by using the formula
a = s/(2*tan(180/8)) where a is the apothem and s is the side of the octagon.
Hence, the area of the rectangle ABEF = 2sa = 2ss/(2*tan(180/8)) = s^2/(tan(180/8)).
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For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
The median and the quartiles of the data-set are given as follows:
First quartile: 13.Median: 22.Third quartile: 29.How to obtain the median and the quartiles of the data-set?The median of a data-set is the middle value of the data-set, that is, the value of which 50% of the data-set is less than and 50% of the data-set is greater than.
The data-set is composed by 16 elements, which is an even cardinality, hence the median is the mean of the 8th and of the 9th elements, as follows:
Median = (20 + 24)/2
Median = 22.
Then the first quartile is the median of the first seven elements of the data-set, which is the fourth element, hence it is of 13.
The third quartile is the median of the last seven elements of the data-set, hence it assumes a value of 29.
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Answer: first quartile is 14 , the median is 22 , and the third quartile is 28
Step-by-step explanation:because I answered that on my homework and it worked.Take words from people who have tried it before!!!
can someone answer this q for my mock rev xx
Answer:
Step-by-step explanation:
(a) 10p = 3p - 5
7p = - 5
p = -5/7
(b) a^0 = 1 no matter what a is.
(c) 0.5 y²/x
(d) 5cd²(2c² + 3d²)
solving for a variable:
isolate so that the desired variable is alone on one side of the equationperform inverse operationsa)
[tex]10p=3p-5[/tex]
[tex]7p=-5[/tex]
[tex]p=\frac{-5}{7}[/tex]
b) A simple rule to follow is that any number raised to the exponent of 0 is equal to 1
[tex]a^0=1[/tex]
c)
cancel out common factorswhen multiplying exponents with the same base add the exponentswhen dividing exponents with the same base subtract the exponents[tex]\frac{xy^3}{2x^2y}[/tex] cancelled out the common factor of 3
[tex]\frac{y^2}{2x}[/tex] note that [tex]a^-^y=\frac{1}{a^y}[/tex]
d)
find what is in common between the two terms both have a CF of 5cd^2[tex]5cd^2(2c^2+3d^2)[/tex]
PLEASE HELP ASAP MATH SUBJECT
Answer:
√ 1. Quadratic
√ 2. Quadratic
√ 3. Quadratic
x 4. Not quadratic
x 5. Not quadratic
Step-by-step explanation:
A quadratic function is of the form
[tex]\large {ax^2 + bx + c}[/tex]
where a, b and c are real-valued constants and a ≠ 0
b and c can be 0
The degree of a quadratic function (the highest exponent ) will be 2
#4 has has degree 1
#5 has degree 3
So only 1, 2 and 3 are quadratic functions
s the orthocenter for an obtuse traingle always outside the circumcircle which the obtuse triangle is drawn in?
The orthocenter for an obtuse triangle is always outside the circumcircle in which the obtuse triangle is drawn.
What is the Orthocenter Of A Triangle?In geometry, each triangle has a few highly significant points that go along with it. One such point is the triangle's orthocenter, which is identified as the location where the triangle's altitudes cross.
An altitude of a triangle is a line segment that extends perpendicularly from one of its vertices to the side opposite that vertex. A triangle with an angle larger than 90° is said to have an obtuse angle. The heights of the vertices of the acute angles of an obtuse triangle reside outside of the triangle due to the way the triangle is constructed. The orthocenter, or the location where the three elevations intersect, must therefore be outside of the circumcircle in which the triangle is inscribed.To learn more about Orthocenter visit:
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The orthocenter for an obtuse triangle is always outside the circumcircle in which the obtuse triangle is drawn.
What is the Orthocenter of a triangle?In geometry, each triangle has a few highly significant points that go along with it. One such point is the triangle's orthocenter, which is identified as the location where the triangle's altitudes cross.
An altitude of a triangle is a line segment that extends perpendicularly from one of its vertices to the side opposite that vertex. A triangle with an angle larger than 90° is said to have an obtuse angle. The heights of the vertices of the acute angles of an obtuse triangle reside outside of the triangle due to the way the triangle is constructed.
The orthocenter, or the location where the three elevations intersect, must therefore be outside of the circumcircle in which the triangle is inscribed.
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The complete question is as follows:
Is the orthocenter for an obtuse triangle always outside the circumcircle which the obtuse triangle is drawn in?
find a unit vector normal to the surface cos(xy) = ez − 2 at (1, π, 0).
The given surface is [tex]\cos(xy) = e^z-2[/tex]. The unit vector normal to this surface at the point (1, π, 0) is[tex]\vec{n}=\langle 0, 0, 1\rangle[/tex].
A vector with a magnitude of one is termed a unit vector. To determine a unit normal vector for the given surface, start by describing the surface as a function of form F(x, y, z). Next, calculate this function's gradient and then normalize the outcomes.
Consider the normal vector [tex]\vec{n}=\langle a, b, c\rangle[/tex] to the plane ax + by + cz = d. Given [tex]\cos(xy) = e^z-2[/tex] then, z = ln(2+cos(xy)).
At point (x₀,y₀,z₀), the equation for the tangent plane to z = f(x,y) is written as, [tex]z-z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)[/tex]. The value of [tex]f_x[/tex] and [tex]f_y[/tex] are
[tex]f_x = \frac{-y \sin(xy)}{(2+\cos(xy))}[/tex] and [tex]f_y =\frac{ -x \sin(xy) }{ (2+\cos(xy))}[/tex].
At *x, y) = (1, π), the value of [tex]f_x[/tex] and [tex]f_y[/tex] is zero. Then, the equation of the tangent plane is given as z-0=0+0 ⇒ z=0.
Then, the resulting unit normal vector is [tex]\vec{n}=\langle 0, 0, 1\rangle[/tex].
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How are 2 graphs related?
A line graph is marked by a correlation in the form of a line. The dependent variable is placed on the y-axis and the independent variable is on the x-axis.
You can see their relationship in terms of the slope. By explanation, the slope is the ratio of the change of the y-coordinates to the change of the x-coordinates (Δy/Δx). Visually, you determine the relationship of the variables by the orientation of the line as shown in the graph. If the slope is increasing, means that the two variables are increasing together.
If the slope is decreasing, it means that when x increases, y decreases. In other words, they are inversely proportional.
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The complete question is:
How are line graphs used to show how two variables are related?
(2a−13)÷b15 when a=−35 and b=−6.75
Please and Thank You! :)
Answer:
-.56296296296...
Step-by-step explanation:
[tex]\frac{(2)(-35)-13}{(-6.75)(15)}[/tex]
[tex]\frac{70-13}{-101.25}[/tex]
[tex]\frac{57}{-101.25}[/tex]
-.56296296296... The 296 is repeating
At a zoo, youth ticket cot five dollar an adult ticket cot nine dollar a group purchaed ex youth ticket NY adult ticket pent $90 on ticket what i the domain of the relationhip?
The domain of this relationship would be all possible combinations of values for x and y that satisfy the equation 5x + 9y = 90.
To find the equation:
The domain of the relationship in this scenario is the number of youth and adult tickets that were purchased by the group.
It is given that the cost of a youth ticket is $5 and the cost of an adult ticket is $9. Therefore, the number of youth and adult tickets can be represented by the variables x and y respectively.
We also know that the group spent a total of $90 on tickets, so the equation representing the relationship between the number of youth and adult tickets purchased would be:
5x + 9y = 90
So the domain of this relationship would be all possible combinations of values for x and y that satisfy the equation 5x + 9y = 90.
It's important to note that the domain would be all non-negative integers of x and y as the number of youth and adult tickets cannot be negative numbers.
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Can someone please solve this
Answer:
Step-by-step explanation:
Let, f(x) = y
y = 5 + √(5x - 3)
((y - 5)² = 5x + 3
y² - 10y + 25 - 3 = 5x
x = (y² - 10y +22)/5
so, [tex]f^{-1} (y)[/tex] = (y² - 10y +22)/5
[tex]f^{-1} x[/tex] = (x² - 10x + 22)/5
