Answer:
X = <6
Step-by-step explanation:
(2x - 4) < 8
2x - 4 + 4 < 8 + 4
2x < 12
2x/2 < 12/2
x < 6
Hope this helps! :)
11. Find the measure of ABC. Show your work.
How do you write 75.9 in scientific notation?
Answer:
7.59*10^1
Step-by-step explanation:
write the number as a decimal - 75.9
make it a new number thats somewhere between 1&10 by moving the decimal place - 7.59
define the power of 10 -10^1
put them all together! - 7.59*10^1
can someone help me with this ?
Using function concepts, it is found that:
a) Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.
b) If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.
c) if f(x) = 2, x = 16, so point (16,2) is on the graph of f.
d) The domain is all real numbers except x = 4.
e) The x-intercept is of x = -8.
f) The y-intercept is of y = -2.
What are the points on the graph?The function is given by:
f(x) = (x + 8)/(x - 4).
Hence, when x = 3:
f(3) = (3 + 8)/(3 - 4) = 11/-1 = -11.
Hence:
Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.
When x = 1, we have that:
f(1) = (1 + 8)/(1 - 4) = 9/-3 = -3.
If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.
For f(x) = 2, we have that:
2 = (x + 8)/(x - 4)
2x - 8 = x + 8
x = 16.
Hence:
if f(x) = 2, x = 16, so point (16,2) is on the graph of f.
What is the domain of the function?The domain of a function is the set that contains all possible input values of the function.
This function is a fraction, meaning that the denominator cannot be zero, so:
x - 4 = 0 -> x = 4.
Hence:
The domain is all real numbers except x = 4.
What are the intercepts of the function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.For this problem, we have that:
f(x) = 0.
(x + 8)/(x - 4) = 0.
x + 8 = 0
x = -8.
f(0) = 8/-4 = -2.
Hence:
e) The x-intercept is of x = -8.
f) The y-intercept is of y = -2.
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Which of the following is true about perpendicular lines? Select all that apply.
*
They will never cross.
They have the same slope.
Their slopes are opposite reciprocals.
They cross at a right angle.
They are in the same plane.
The statements which are true about perpendicular lines are;
Their slopes are opposite reciprocals.They cross at a right angle.What are parallel lines?Perpendicular lines in their simplest description are lines which meet or cross each other forming a right angle, 90°.
Also, It follows from line geometry that such lines have their slopes as opposite reciprocals.
Consequently, their slopes are such that; m1 × m2 = -1.
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How you solve this? This is chemistry 127
Ryan made a table to show how much blue and red paint he mixed to get the shade of purple he will use to paint the room. He wants to use the table to make larger and smaller batches of purple paint. What ratio was used to create this table? Support your answer
The ratio that was used to create this table is 4:1.
What does a math ratio mean?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.In the top row, they are all even numbers, and in the bottom row, they are all odd numbers
They all simplify to 4:1
Based on the table given, the ratio will be:
= 12/3
= 4/1
= 4:1
The values in each row related to each other as in the top row, they are all even numbers, and in the bottom row, they are all odd numbers.
The values in each column related to each other as they've a ratio of 4:1.
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(a[tex](a^6)^2a^7[/tex]
Answer: a(a^6)^2a^7 = [tex]a^{20}[/tex]
Step-by-step explanation:
Given data,
= a(a^6)^2a^7
We can write,
= [tex]a * (a^{6}^)^{2} * a^{7}[/tex]
Simplify using exponent power rule, [tex](a^{n} ) ^{m}[/tex] = [tex]a^{mn}[/tex]
So, we can write using formula,
= [tex]a * a^{6*2} * a^{7}[/tex]
= [tex]a * a^{12} * a^{7}[/tex]
Multiply the monomials,
We can use the formula, [tex]x^{a} * x^{b} * x^{c}[/tex] = [tex]x^{a+b+c}[/tex]
So, we can write,
= [tex]a^{1+12+7}[/tex]
= [tex]a^{20}[/tex]
Therefore,
a(a^6)^2a^7 = [tex]a^{20}[/tex]
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Find the value of k so that the given points are 2 square roots of 26 (I'm assuming 8 units) units apart.
L(k,-7) and M(4,3)
The values of k such that both points are 2√26 units apart are 6 and 8, respectively.
What is the value of k associated to the distance between two ends of a line segment?
Herein we know the coordinates of the ends of a line segment, the distance between the two points can be represented by Pythagorean theorem, whose formula is:
104 = (4 - k)² + [3 - (- 7)]²
104 = 16 - 8 · k + k² + 100
4 = 16 - 8 · k + k²
k² - 8 · k + 12 = 0
(k - 6) · (k - 8) = 0
The values of k such that both points are 2√26 units apart are 6 and 8, respectively.
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Simplify the variable expression below as much as possible.
3x+ 2y+5-3
Answer here
PLEASE HELP
Answer:
3x+2y+2
Step-by-step explanation:
it's just combining like terms
graph the solution to this inequality on the number line. w -0.8 > -2.4 first select the correct ray. then select the location of the endpoint to plot the inequality on the number line.
Answer:
Step-by-step explanation:
The solution to the inequality is
Inequality
Inequalities are used to represent expressions of unequal values
The inequality is given as:
Add 0.9 to both sides of the inequality
Simplify the inequality
The above inequality means that:
The arrow on the number line points to the right
The arrow begins at point -1.2 with an open circle or dotted lines
how do you do this ill give 20 points!!!!!!!
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The angles are given below.
∠ABC = ∠DEF ...1
∠GHI = ∠DEF ...2
From equations 1 and 2, then we have
∠ABC = ∠DEF
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
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i ready help please . .. . .. . . . . . . . .. . . . .. .. . .. . . . .
The solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
How to Evaluate an Expression?To evaluate the expression, 3a + 4b³ - 5, when a = 6 and b = 2, substitute the values of a and b into the expression and solve.
Thus, we would have:
3a + 4b³ - 5 = 3(6) + 4(2³) - 5
Solve the exponent
3a + 4b³ - 5 = 3(6) + 4(8) - 5
3a + 4b³ - 5 = 18 + 32 - 5
Add
3a + 4b³ - 5 = 45
Therefore, the solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
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What is 4(3h-4)=2(6h+8)
The equation 4(3h-4)=2(6h+8) have no solutions.
When the equation have no solutions?Some equations do not have solutions. There isn't any value for such variable that helps make the equation true in these equations. When you attempt to solve an equation and receive a false statement, you know it has no solutions.Some equations only have one solution. In such equations, the variable has only one value that makes this same equation true. If you solve an equation and find a variable equal to the a number, you know it has one solution.For the given equation;
4(3h - 4) = 2(6h + 8)
Simplify the equation as;
12h - 16 = 12h + 16
Bring the variable and constant on the different sides;
12h - 12h = 16 + 16
0 = 32
but, 0 ≠ 32.
As, given equation gives the false result, the equation are said to have no solutions.
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Which equation best models the trend in the data in the scatter plot shown below?
A y=-0.25x +3
B y=-0.5x +4
C y = -0.75x + 5
D y = x + 6
Answer:
The answer would be B. y= -0.5x+4.
Gayle biked 2.82 miles on an exercise bike. Lola biked 3.5 times as far as Gayle.
How much farther did Lola bike than Gayle?
Enter your answer in the box.
miles
Answer:
9.87
Step-by-step explanation:
If Gayle only biked 2.82 miles and Lola biked 3.5 TIMES MORE MILES
then you multiply 2.82 by Lola's miles and you get 9.87
Can you come up with two variables that are related in your view and determine which variable is the dependent variable and which one is the independent variable?
One example can be:
"Amount of sugar that you put in your coffee and the calories of that coffee."
Where:
independent variable = amount of sugar.dependent variable = amount of calories.How to identify two related variables?
Any two quantities that are related in any way are related variables.
Some examples are:
Time driving your car at constant speed and the distance that you travel in that time. Time that you put food in the oven and the temperature of the food when you take it out.Amount of sugar that you put in your coffee and the calories of that coffee.etc...
The independent variable is the one that we can control, and the dependent variable is the one that changes in response to the independent one.
In the last example, the independent variable is the amount of sugar that you put in your coffee because you decide how many spoons you want.
And the dependent variable is the amount of calories in that coffee, that will depend on how much sugar you put there.
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When you look at the Binomial Probability formula, it shows that n C x p x q n - x
It implies that the Binomial Probability formula contains the concept of the "Combination", not Permutation. Please describe why we need to use the Combination formula to define the Binomial Probability. Why not using the Permutation?
The reason is that the binomial formula is telling us the probability of a particular number of successes. Let’s take 5 turns at bat for a baseball player who gets hits 20% of the time. We want to find the probability that he will get exactly 2 hits. He could get hits on tries 1 & 2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, 4&5. There’s no difference between getting hits on the 1st & 2nd, and getting hits on the 2nd and 1st. They’re the same thing. A permutation would treat those as different, when in reality the order doesn’t matter.
The reason the Binomial Distribution is able to use a combination as oppose to a permutation is because of the symmetry of these types of problems.
Suppose you have n objects of 2 categories. x of them are in the first category and y in the second. Therefore the number of ways you can arrange these n objects is:
Since this also describes the number of ways you can arrange failures and success in a binomial problem, let’s substitute this in place of the combination:
where x = number of repeats in successes and y = number of repeats in failures
Therefore expressing the Binomial Distribution as a combination simplifies the process slightly. However, it’s important to recognize that the combination used is actually a permutation in disguise; it must be a permutation because order matters in the context of Binomial Distributions. The combination doesn’t directly explain the number of ways to arrange the successes and failures, but can be equated to the permutation that does.
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Graph y = x² + 1 by plotting the points for x = -1,0, 1 and drawing the curve.
Provide your answer below:
Answer: The points are
(-1,2)
(0,1)
(1,2)
The graph is below
=========================================================
Explanation:
The idea is to replace x with the values mentioned (one at a time) and find the paired y value
For example, if x = -1, then...
y = x² + 1
y = (-1)² + 1
y = 1 + 1
y = 2
So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)
I used GeoGebra to make the graph shown below.
Find the simple interest.
Determine whether each relation is a function. {(3, 2), (-1, 3), (5, 2)} and {(9, -1), (3, 6), (-2, 4), (3, 0)}
We can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
What Makes a Relation a Function?A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.
Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.
For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.
Therefore, we can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
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please help with this
F(B-g3)=2 solve for b
Solving for B gives B = 2/ F + g³
What is subject of formula?
Subject of formula can be defined as the variable that is expressed in terms of other variables in an equation or expression.
Given the equation;
F(B-g³)=2
To make 'B' the subject of formula, we have to take the following steps
Divide both sides by F, we have;
F(B-g³) / F = 2/ F
we then have;
B - g³ = 2/F
Now, make 'B' the subject of formula by making all the other terms over the equality sign
We have;
B = 2/ F + g³
Thus, solving for B gives B = 2/ F + g³
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what is a proportional relationship
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"
Step-by-step explanation:
I learned it.
The football cheerleaders consist of 16 members. The cheerleading coach places the cheerleaders in rows. Each row has the same number of members. Find the possible row arrangements. What is the answer?
The possible row arrangements for the football cheerleaders are (4×4) or (8×2).
What is termed as factorization?When you factorize a number, you divide it into smaller numbers that, when multiplied together, offer you the original number. Factorization occurs when you divide a number in with its factors or divisors. For example, the factorization of a number 12 could be 3 times 4.For the given expression.
The total of football cheerleaders = 16.
Each row consists of same number of cheerleaders.
For, this find the factors of 16;
16 = 2×2×2×2
The possible combinations for getting 16 is;
either (4×4) and (8×2).
This can be written as;
There are four rows such that each row contains 4 cheerleaders;
4×4 = 16
Or, they could be arranged as 2 rows with 8 cheerleaders or 8 rows with 2 cheerleaders in each, both are correct.
This can be written as two rows of 8; 8×2 = 16
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which is true about the degree of the sum and diffrence of the polynomials 3x^5y-2x^3y^4-7xy^3 and -8x^5y+2x^3y^4+xy^3?
The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A polynomial's degree is the highest exponent of a variable in a polynomial equation.
Given the polynomial 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³
The sum of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) + (-8x⁵y + 2x³y⁴ + xy³) = -5x⁵y - 6xy³
The difference of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) - (-8x⁵y + 2x³y⁴ + xy³) = 11x⁵y - 4x³y⁴ - 8xy³
The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.
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ERROR ANALYSIS Describe and correct the error in interpreting the statement.
If a figure is a rectangle, then the figure has four sides. A trapezoid has four sides.
X
Using the Law of Detachment,
you can conclude that a trapezoid
is a rectangle.
Answer:
The fact points to the conclusion of the conditional.
Step-by-step explanation:
Law Of Detachment:
p -> q (if p is true, then q is true)
***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.
The integer 5 makes which of the following equations false?
A: 3m + 4 = 6m
B: −5(t − 7) = 10
C: 17 = 4x − 3
D: t + 9 = 14
Answer:
a) 3m + 4 = 6m is false.
Step-by-step explanation:
A) 3m + 4 = 6m
→ 3(6) + 4 = 6(5)
→ 18 + 4 = 30
→ [ 22 ≠ 30 ]
So, the equation is false.
B) -5(t - 7) = 10
→ -5(5 - 7) = 10
→ -5 × -2 = 10
→ [ 10 = 10 ]
So, the equation is true.
C) 17 = 4x - 3
→ 17 = 4(5) - 3
→ 17 = 20 - 3
→ [ 17 = 17 ]
So, the equation is true.
D) t + 9 = 14
→ 5 + 9 = 14
→ [ 14 = 14 ]
So, the equation is true.
help please i need help i will give crowns
Answer:40 carrots
Step-by-step explanation:
2x8=16 and there's 16 so there for 5x8=40
hope this helps :)
calculate the slope between the two points (2, -7) and (2, 7).
A. zero
B. undefined
C. -4
D. 10
Could someone please explain this to me step-by-step?
[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ [/tex]
Take the reciprocal of the inside to get rid of the negative exponent.
note: reciprocal=flip it over
[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ [/tex]
Step 2Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.
note: d=d^1
Using the Law of Exponents:[tex] \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ [/tex]
[tex]( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ [/tex]
Step 3[tex]note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } [/tex]
[tex]( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ [/tex]
