Answer:
-3
Step-by-step explanation:
5x³ + 2 , when x = -1
5(-1)³ + 2
= -5 + 2
= -3
Answer:
-3
(first option listed)
Step-by-step explanation:
we know that 5x³ + 2 is our expression
we want to "evaluate" (find/solve for) when x = -1
we can do this by plugging in -1 to the expression:
5x³ + 2 {note, x = -1}
5(-1)³ + 2 {-1³ = -1}
5(-1) + 2
(-5) + 2
-5 + 2 = - 3
so, when x = -1, the statement is equivalent to -3
hope this helps! :)
A set of equations is given below.
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
O No solution
Answer:
2
Step-by-step explanation:
lucky guess from my boi tony
Which are true about the pyramid? Check all that apply.
The base of the pyramid is a square with four sides, each measuring 756 feet.
The slant height of the pyramid is 612 feet.
The slant height of the pyramid is 756 feet.
All four triangular faces are congruent.
All four triangular faces are not congruent.
The pyramid has four lateral faces.
The statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Properties of a Square pyramidFrom the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the sides of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Learn more on Pyramid here: https://brainly.com/question/10042135
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2. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays.
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125? I
Write a system of inequalities to represent this situation.
Answer:
Look down below and you will know the answer↓:
Step-by-step explanation:
He will have to work as between the range (of 20,0) and (0,20) points to earn more than $125.
So, What is inequality?
Inequality means is the relationship between two expressions that are not equal, so employing a sign such as ≠ “is not equal to,” > “greater than,” or < “less than.”.
Since then: Liam can work at most 20 hours a week, but he also needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.
He Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as:
7x + 11y ≥ 125
x+y = 20
When we plot these two equations on the graph, we will get the range for the time from (20,0) and (0,20).
We Suppose that we will take a random point-like (5,15) when we put this value in the inequality, we get the total earning greater than $125.
7x + 11y ≥ 125
7 (5) + 11 ( 15 ) ≥ 125
35 + 165 ≥ 125
200 ≥ 125
Therefore, He has to work between the range (of 20,0) and (0,20) points to earn more than $125.
Mark me as brainlist, thanks me, and rate. Hope it helps you!!!Which point on the y-axis is on the line that passes through point R and is parallel to line PQ?
(0, Two-thirds)
(0, 4)
(Two-thirds, 0)
(4, 0)
Answer:
The answer would be (0, 2/3) or (0, Two-thirds)
Answer:
0, 2/3
Step-by-step explanation:
Solve for x (12x-7)/4=(5x+18)/3
Answer:
Step-by-step explanation:do i know u
Answer:
x= 5.8125
Step-by-step explanation:
Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]
Since we have one fraction equal to another fraction, we can cross multiply.
(12x -7)(3)= 4(5x +18)
Expand:
36x -21= 20x +72
Bring all the x terms to one side, constant to the other:
36x -20x= 72 +21
Simplify:
16x= 93
Divide both sides by 16:
[tex]x= \frac{93}{16}[/tex]
x= 5.8125
Additional:
Here is a similar question which you may wish to check out
https://brainly.com/question/18219612In triangle PQR, find the measure of angle Q.
P= 64 degrees
Q= X
R= 2x
Answer:
38.667°
Step-by-step explanation:
the total sum of 3 angles in a triangle is 180
in triangle PQR this means:
P+Q+R = 180
so:
64+x+2x=180
64+3x=180
3x=116
x=116/3=38.667
So Q=X=38.667
Find the slope of every line that is parallel to line on the graph (0,-3) (5,-4)
The slope of the line parallel to the line on the graph (0,-3) (5,-4) is - 1 / 5
How to find the slope of a parallel lines?Parallel lines have the same slope.
Therefore,
slope = m = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = 0
x₂ = 5
y₁ = -3
y₂ = -4
Therefore,
slope = -4 - (-3) / 5 - 0
slope = -4 + 3 / 5
slope = - 1 / 5
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Thankyou guys for all your help….I need help with one more plsss
Round to the nearest tenth
I don't understand your question
Hi can I have help on this question with a simple explanation as I find things difficult to understand. Thank you :)
Step-by-step explanation:
Line L → 2x - 3y = 6
Where a = 2 and b = -3
• So, we can use this formula to find the gradient of Line L.
m = -a/b
m = -2/-3
m = 2/3 IS THE ANSWER
Answer:
gradient = 2/3
Step-by-step explanation:
Here is another way....manipulate the equation to y = mx+ b form
where m = slope ( gradient)
2x - 3y = 6 add 3 y to both sides
6 + 3y = 2x subtract 6 from both sides
3y = 2x - 6 divide by 3
y = 2/3 x - 2 gradient = 2/3
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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I need help with this math question (pic induced)
Answer:
A
Step-by-step explanation:
Set the equation equal to bx.
[tex](3x + 3)(ax - 2) - {x}^{2} + 6 = bx[/tex]
[tex]3a {x}^{2} - 6x + 3ax - 6 - {x}^{2} + 6 = bx[/tex]
Cancel out the constants
[tex]3 {ax}^{2} - 6x + 3ax - x {}^{2} = bx[/tex]
In order to cancel out the quadratics, we must solve for a.
[tex]3 {ax}^{2} - {x}^{2} = 0[/tex]
[tex]3 {ax}^{2} = {x}^{2} [/tex]
[tex]3a = 1[/tex]
[tex]a = \frac{1}{3} [/tex]
So plug in 1/3 for a.
[tex]3( \frac{1}{3} ) {x}^{2} - 6x + 3( \frac{1}{3} )x - {x}^{2} = bx[/tex]
[tex] - 6x + x = bx[/tex]
[tex] - 5x = bx[/tex]
[tex]b = - 5[/tex]
a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
Answer? Having trouble understanding this question
Answer:
[tex]\frac{k+5}{k-2}[/tex]
Step-by-step explanation:
[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]
multiply numerator and denominator by k² to eliminate fractions
= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator
------------------------------
k² - 25 ← is a difference of squares
= (k - 5)(k + 5)
k² - 7k + 10
= (k - 5)(k - 2)
------------------------------
= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator
= [tex]\frac{k+5}{k-2}[/tex]
If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?
7.7278 g/ml is the most accurate density of the substance.
What is density?It is define as the quantity per unit volume, unit area, or unit length.
i.e. the mass of a substance per unit volume.
Mathematically,
[tex]\rho =\frac{m}{v}[/tex] ----- equation (1)
Where,
p is the density
m is the mass
v is the volume
According to the question,
Mass = 27.82 grams
Volume = 3.6 ml
By substituting the Value of m and v in equation 1.
[tex]\rho =\frac{27.82}{3.6}[/tex]
[tex]\rho = 7.7277777 g/ml[/tex]
Therefore,
The most accurate density of the substance in g/ml is 7.7277777 g/ml.
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The graph of g(x) is the result of translating the graph of f(x) = 3 ^ x six units to the rightWhat is the equation of g(x)
Answer: [tex]g(x) = 3^{x-6}[/tex]
Step-by-step explanation:
Think about it like doing
x - 6 = 0
x = 6
That is how you know that it will be shifted 6 units right (how you can tell the difference between right and left shift)
a rectangular prism is 5m long, 4m wide, and 6m hight. what is the sum of the lengths of its edges?
Answer:
60
Step-by-step explanation:
4(5+4+6)
4(15)
60
What is the cosiner fade when the sign of fada equals 2/5
The value of cosine theta (cosθ) for the given triangle is determined as 4.58/5.
Complete side lengths of the triangleFor a given sine value of a triangle, the remaining side length of the triangle can be calculated as follows;
sinθ = opp/hypo = 2/5
opposite side = 2hypotenuse side = 5Adjacent side of the triangleb² = 5² - 2²
b² = 21
b = 4.58
Value of cosine θ
Cosθ = adj/hypo
Cosθ = 4.58/5
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Please please help! translate the phrase into a variable expression. use the letter p to name the variable. if necessary, use the asterisk (*) for multiplication and the slash (/) for division
... the total number of parrots in the jungle and the 2 parrots your neighbor owns ...
The expression p+2 will denote the statement given
What is a Variable ?A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.
It is given that
the total number of parrots in the jungle and the 2 parrots your neighbor owns
Let p be the total parrots in the jungle
p+2 will denote the statement given
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How do u calculate pythagoras therorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
a^2 + b^2 = c^2Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
The second number in an ordered pair that represents the position of a point relative to the vertical axis is called ______________.
It is called the y-coordinate
The point itself is called a coordinate, vertically, the vertical component of the coordinate is called the y-coordinate, while horizontally, the horizontal component of the coordinate is called the x-coordinate.
Hope that helps!
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A group of 35 people are running a race. The top 9 finishers advance to the finals. The number of possibilities for this situation involves a combination. A group of 35 people are running a race. The top 9 finishers advance to the finals. The number of possibilities for this situation involves a combination. True False
Answer:
false
Step-by-step explanation:
falswe
Find the measure of angle AEC.
Answer:
∠ AEC = 49°
Step-by-step explanation:
the sum of the angles in Δ ACE = 180° , that is
∠ AEC + 90° + 41° = 180°
∠ AEC + 131° = 180° ( subtract 131° from both sides )
∠ AEC = 49°
Answer:
49°
Step-by-step explanation:
<AEC = 180°_(41°+90°)
=180°_131°
<AEC= 49°
**90° (Complementary Angles)**
[And if u add: 41°+90°+49°= 180°]
{180° is the area of all triangles}
Hope I helped :)
Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.
Answer:
1/
Step-by-step explanation:
There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.
Help with Pre Calculus
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. [tex]x(2x^2-x-15)[/tex]. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\[/tex]. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}[/tex]
They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If they decide to double the width to create the family-sized box, by what factor must they increase the height?
Answer:
Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If original dimensions are l,w and h then volume = lwh
Volume of new box is= 3lwh
But here w becomes 2w and l remains the same. Let h' be the new height
Then we have
So by 1.5 factor height should be dilated.
Step-by-step explanation:
The composition Do,0.75(x,y). Do,2(x,y) is applied to LMN to create L”M”N”
Transformation involves changing the position and size of a shape.
The true statements are:
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are .N''(3,-1.5)The complete question is as follows:-
The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The coordinates of the triangle are:
L =(-1,2)
M = (-1,-1)
N = ( 2,-1)
The transformation rule is given as:
do 0.75 (x,y) 2 (x,y)
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
∠l≅∠l''
∠m≅∠m''
∠n≅∠n''
Δlmn⇒Δl'm'n'
The above highlights mean that:
The angles of both triangles are congruent
The triangles are similar
Next, we apply the rule on the coordinates of the triangle
L'' = 0.75 x 2 x (-1,2)
L'' = ( -1.5,3)
M'' = 0.75 x 2 x (-1,-1)
M'' = ( -1.5 , -1.5)
N'' = 0.75 x 2 x (2,-1)
N'' = (3 , -1.5)
Hence, the true statements are: The coordinates of n" are.
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are . N''(3,-1.5)Read more about transformations at:
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HELPPPP RIGHT NOW !!!!!!!!!
The equation can be used to find the time it took student to hike the trail will be 3t= 5(3-t)
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The formula for the distance for the to and fro motion is;
x= v × t
The total time required for to and fro motion is;
[tex]\rm t_1 + t_ 2 = 3 \\\\ \frac{x}{v_)1} +\frac{x}{v_2}=3 \\\\ \frac{x}{3} +\frac{x}{5}= 3 \\\\ x = \frac{45}{8} \\\\ x = 3 \times \frac{15}{8} \\\\\ x =v \times \frac{15}{8} \\\\ x = v \times t[/tex]
From the equation B;
3t= 5(3-t)
3t=15-5t
8t=15
t=15/8
The equation can be used to find the time it took Stu to hike the trail will be 3t= 5(3-t)
Hence option B is correct.
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Which sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent?A)reflection and dilationB)reflection and rotationC)rotation and reflectionD)translation and rotation help please
The sequence of transformations will be relection and dilation. Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.
The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
Dilation does not change the shape but changes the size of the geometry.
Then the correct option is A.
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Solve for x.
x2 + 2x + 1 = 0
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
Solve: −4b+4b≥6(−5b+7)−3(b+3)
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation: