Answers
Answer:
- 8x² - 40x - 50
Step-by-step explanation:
Begin by evaluating the inside, that is g(f(x))
Substitute x = f(x) into g(x), that is
g(f(x))
= g(2x + 5)
= (2x + 5)² ← expand using FOIL
= 4x² + 20x + 25
Now substitute x = 4x² + 20x + 25 into h(x)
h(4x² + 20x + 25)
= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2
= - 8x² - 40x - 50
Thus
h(g(f(x))) = - 8x² - 40x - 50
Related Questions
Two times a number plus four is 22. What is the number?
Answers
Answer:
9
Step-by-step explanation:
2n+4=22
2n=18
n=9
What happens when the supply of a nonperishable good is greater than the consumer wants to buy?
A. either the good remains unsold or the price drops
B. the good becomes a luxury and the price rise
C. either the good is saved for later sale or the price is raised
D. the good is discarded
Answers
Answer:
A. either the good remains unsold or the price drops
Peter made a rectangular sandbox for his brother to play in. The sand box measured 4 feet by 5 feet by 1 One-half feet. How much sand will fill the sandbox?
A: 30 ft2
B: 30 ft3
C: 67 ft2
D: 67 ft3
Answers
we need to find the volume of the box, so we have to multiply the 4x5x1.5. That equals 30. Since we multiply 3 different quantities of feet together, the unit is ft cubed, so the answer is b 30ft3.
It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answers
Answer:
It takes 9.3 acres to plant per pound of seed.
Step-by-step explanation:
[tex]93 \div 10[/tex]
[tex]9.3[/tex]
please help me !!
slope and y-intercept
*image attached
Answers
Answer:
slope = 1 and y- intercept = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line
m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The y- intercept is the y- coordinate of the point where the line crosses the y- axis.
Here the y- intercept = 4
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answers
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
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What is the tangent ratio for ∠A?
Answers
Answer:
1/2
Step-by-step explanation:
I will give the brainliest answer
Answers
Answer:
96 cm²
Step-by-step explanation:
area of single square:16cm²
no. of square in cube:16*6: 96cm²
Answer:
[tex]96 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
6
{a}^{2}
\\
=
6
·
{4}^{2}
\\
=
96 \: \: {units}^{2}
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Enter the ordered pair that is the solution to the system of equations graphed below y = - 1/2 * x - 1 y = - 3x + 9
Answers
Answer:
x= 4 and y =-3
Step-by-step explanation:
To find the pair that is the solution to the system of equations, we will follow the steps below;
y = -1/2 x - 1 -----------------------------------------------------------------------------------(1)
y = -3x + 9 ---------------------------------------------------------------------------------------(2)
substitute equation (1) in equation (2)
-1/2 x - 1 = -3x + 9
collect like term
-[tex]\frac{1}{2}X[/tex] + 3x = 9 + 1
-x+ 6x /2 = 10
5x /2 = 10
multiply both-side of the equation by 2
5x = 20
Divide both-side of the equation by 5
x = 4
substitute x = 4 into equation (2)
y = -3x + 9
y = -3(4) + 9
y = -12 + 9
y = -3
The solution is
x= 4 and y =-3
passion wants to rent a car to take a trip
Answers
Answer: The answer is C
Step-by-step explanation:
What addition expression is shown on the
number line?
8
+
?
15
Answers
Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure
Answers
Answer:
A. 1/12.
Step-by-step explanation:
Orville and Wilbur ate 1/3 + 1/4
= 4/12 + 3/12
= 7/12 of the pizza.
So there was 1 - 7/12 = 5/12 of the pizza left.
So Ruth ate 5/12 * 1/5
= 5/60
= 1/12.
In what ways are the sine and cosine graphs different?
Answers
Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve. A sine graph is the lighter curve on the graph.
Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).
Answers
Answer:
<-8,-2>
Step-by-step explanation:
Answer:
(x - 8, y - 2)
Step-by-step explanation:
x-coordinates:
3 and -5
How do you get from 3 to -5?
You subtract 8
This means:
x - 8
y-coordinates:
2 and 0
How do you get from 2 to 0?
You subtract 2
This means:
y - 2
Put it together:
(x - 8, y - 2)
Therefore, the algebraic rule is subtract 8, subtract 2.
HELP ASAP PLEASE need help
Answers
Answer:
4.10
Step-by-step explanation:
Cos 35 = AC/5
AC = 4.096
to the nearest hundredth
AC= 4.10
Answer:
AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5
what is the value of W
Answers
Answer: 28
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
Please refer the image for the answer
solve for x in 4x-4/x+4=10
Answers
Answer:
-22/3 =x
Step-by-step explanation:
(4x-4) /(x+4) = 10
Multiply each side by (x+4)
(4x-4) /(x+4) * (x+4) = 10 * (x+4)
(4x-4) = 10 * (x+4)
Distribute
4x-4 = 10x+40
Subtract 4x from each side
4x-4-4x = 10-4x+40
-4 = 6x+40
subtract 40 from each side
-4 -40 = 6x+40-40
-44 = 6x
Divide each side by 6
-44/6 = -6x/6
-22/3 =x
Answer:
x = -22/3
Step-by-step explanation:
4x - 4 / x + 4 = 10
=> 4x - 4 = 10(x + 4)
=> 4x - 4 = 10x + 40
=> 4x - 10x = 40 + 4
=> -6x = 44
=> x = -44/6
=> x = -22/3
Use the distributive property to write the following expression without parentheses.
-3/5(20x-20y)
Answers
Answer:
-12x+12y
Step-by-step explanation:
[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]
Hope this helps!
Answer:
[tex]-12x+12y[/tex]
Step-by-step explanation:
We have the following expression:
[tex]-\frac{3}{5} (20x-20y)[/tex]
TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..
[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]
WILL MARK AS BRAINLIST
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
Answers
Answer:
C
Step-by-step explanation:
4x-5y=0
5y=4x
y=4x/5, or rather y = (4/5)*x
k thus equals 4/5, and that is your constant of variation.
Answers: Yes, direct variation, k=4/5
Need help ?? Anyone?
Answers
Answer:
64
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore:
x+y=180
x+116=180
x=180-116=64 degrees
Hope this helps!
Answer:
∠x = 64°
Step-by-step explanation:
∠x+∠y=180°
∠x+116°=180°
Subtract 116° from both sides
∠x=64°
Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2
Answers
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answers
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
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Five less than a number (n) is 28. Which equation shows this relationship?
5 < 28n
5- n = 28
n - 5 = 28
n - 28 = 5
Answers
Answer:
n - 5 = 28
Step-by-step explanation:
The number is n.
5 less than the number is n - 5.
5 less than the number is 28
n - 5 = 28
Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?
Answers
potatoes are 50p a pound . how much for 24oz
Answers
Answer:
25p
Step-by-step explanation:
IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!
Answer:
Hi...
The correct ans is 25 p
Hope this helps.....
Pls mark my ans as brainliest....
Sry dude the calculations r longggggggggggg
Be sure to mark my ans as brainliest
What’s the vertex y=-1/2(x+3)^2-1
Answers
y
=
a
(
x
−
h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=
−
1
2
a
=
-
1
2
h
=
−
3
h
=
-
3
k
=
−
1
k
=
-
1
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(
−
3
,
−
1
)
Answer:
vertex = (- 3, - 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form
with vertex = (- 3, - 1 )
The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*
Answers
Answer:
The second choice. m < 4 = 85 degrees.
Step-by-step explanation:
m < 4 = 180 - m < 1
= 180 - 95
= 85 degrees.
The measure of angle 4 is 85 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that measure of Angle 1 is 95 degrees.
Therefore, we can see that angle 4 and Angle 1 makes linear pair so.
Angle 4 = 180 - Angle 1
= 180 - 95
= 85 degrees.
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BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.
Answers
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.
We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]
Now, we can plug the values given into that equation:
[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]
Now, cross multiply:
18x = 8(x + 15)
Now, we can simplify this equation and solve for x, or AC.
18x = 8x + 120
Subtract 8x from both sides:
10x = 120
Divide both sides by 10:
x = 12
Hope this helps!
Answer:
AC: 12
Step-by-step explanation:
does anyone know this?
Answers
Answer:
Step-by-step explanation:
5•-4= -20
5•-3x= -15x
-6x•-4= 24x
-6x•-3x= 18x^2
Answer:
20 : 15x
:
: : : : :
24x : 18x
:
Step-by-step explanation:
5×-4=20
5×-3x=-15x
-6x×-4=24x
-6x×-3x=18x
// have a great day //
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree
Answers
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°