Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:
(i) Vertical stretch
[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]
(ii) Reflection over the x-axis
[tex]g(x) = -f(x)[/tex]
Let prove both transformations in [tex]h(x)[/tex]:
Step 1 - Vertical stretch ([tex]k = 4[/tex])
[tex]h'(x) = 4\cdot x^{2}[/tex]
Step 2 - Reflection over the x-axis
[tex]k(x) = -4\cdot x^{2}[/tex]
Hence, correct answer is A.
Distributive property: distribute the _______ to the _________ by multiplying
Answer:
number outside parenthesis to the numbers inside parenthesis
Step-by-step explanation:
example: 4(x+5)
4x+20
Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%
Music 28%
Athletics 42%
Neither 30%
30 points I need help asap
Answer:
Volume= 510 in^3
Step-by-step explanation:
Break it into pieces
4*17*5=340
4*7*5=140
3*4*1/2=6, *5=30
340+140+30=510
Find the length of side a.
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
Which scatterplot shows a linear association
Answer:
Scatterplot the most forms a diagonal line
use the distributivity of multiplication of rational numbers over addition to simplify:
-3/8 * (4/7+[-11/7])
Plssi want with explanation
9514 1404 393
Answer:
3/8
Step-by-step explanation:
The distributive property tells you the outside factor multiplies each term inside parentheses.
a(b +c) = ab +ac
(-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)
= -12/56 +33/56 = 21/56 = 3/8
What is the correct answer?
Answer:
C please give brainest!
Step-by-step explanation:
Which ordered pair is NOT a solution to the inequality in the graph?
A. (0,0)
B.(-2,-4)
C.(0,2)
D.(-3,4)
Given:
The inequality is
[tex]y\leq 3x+2[/tex]
To find:
The ordered pair that is NOT a solution to the inequality in the graph.
Solution:
We have,
[tex]y\leq 3x+2[/tex]
Checking the inequality for (0,0), we get
[tex]0\leq 3(0)+2[/tex]
[tex]0\leq 2[/tex]
So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.
Checking the inequality for (-2,-4), we get
[tex]-4\leq 3(-2)+2[/tex]
[tex]-4\leq -6+2[/tex]
[tex]-4\leq -4[/tex]
So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.
Checking the inequality for (0,2), we get
[tex]2\leq 3(0)+2[/tex]
[tex]2\leq 2[/tex]
So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.
Checking the inequality for (-3,4), we get
[tex]4\leq 3(-3)+2[/tex]
[tex]4\leq -9+2[/tex]
[tex]4\leq -7[/tex]
This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.
Therefore, the correct option is D.
3
Antonio's Pizza Shop charges
$12 for a large cheese pizza
plus $0.50 for each topping added.
Write an equation Antonio can use
to be able to determine the total (y)
for any large pizza no matter the
number of toppings ordered (x).
Answer:
C = 12 + 1.5t
Step-by-step explanation:
Answer:
$12 + x = y
Step-by-step explanation:
x = number of topping
y = total cost of pizza
Hope this helps :)
Examine the pair of triangles given below. If EDC ~ KGH then the value of K is... (photo included)
Answer:
56°
Step-by-step explanation:
the question tells us the 2 triangles are similar, thus the angoes are identical on the 2 triangles. with this right triangle, you can see there is a long leg, short leg, and the hypotenuse. in order to solve this, you need to find the angle on the first triangle that corresponds to the second triangle. in this case, we can conclude angle K corresponds to angle E because the angles are adjacent to the long leg and hypotenuse, and opposite to the short leg.
Can yall help me with this
WILL GIVE BRAINLIEST
Answer:
19 guests
Step-by-step explanation:
26 dollars = 13 guests
26/13 = 2
2*19 = 38
Final Answer: 19 guests
Hope this helps. :)
What would be the new exponent if you multiplied
10-2 x 105? Just write the number for the exponent.
Answer:
The number of the exponential is 3
Step-by-step explanation:
10^-2×10^5
According to the law when the base are equal you pick one then add the power when it is multiplication when it is division, you subtract the power
10^-2+5=10^3
Pls make answer as brainlist
HELP DUE IN 10 MINS! A cable that is 25 m long runs from the top of a utility pole to a point on the ground that is 20 m from the base of the pole. How tall is the pole? (Hint: Draw a picture)
The pole is
??
m tall.
Answer:
15 mStep-by-step explanation:
x² + 20² = 25²x² + 400 = 625x² = 225x = √225x = 15Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-2| - 3. As x approaches negative infinity, Rx) approaches As x approaches positive infinity, AX) approaches infinity. y infinity
The solution is: As x approaches negative infinity, f(x) approaches
Positive; Negative.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
According to the question, the following information is given
G(x) = |x - 2| - 3
Based on the above information
As it can be seen that there is a modulus that means if there is any negative value that it can become a positive value.
Therefore the answer is positive and negative.
hence, The solution is: As x approaches negative infinity, f(x) approaches
Positive; Negative.
To learn more on function click:
brainly.com/question/21145944
#SPJ7
c
D.
M=2 and P= (1,3)
which graph shows a line with siope that passes through point P A. A B. B C. C D. D
the area of a parallelogrem is 49 square meters the base of the parallelogram is 7 meters what is the height of the parallelogram
Answer:
7
Step-by-step explanation:
brainalist plz
Answer:
height is 7 meters
Step-by-step explanation:
Please help!!!!!! Someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.
This is a big test.
Please help!!!!
Answer:
m < 1 = 85 Degrees and m < 2= 80 Degrees
A farmer needs to plant 180 tomato plants. He can plant 9 plants every 15 minutes.
a) What percentage of the planting will be complete after 75 minutes?
It will be
% complete.
b) How many minutes will it take to finish 90% of the planting?
It will take ____ minutes.
Answer:
52.94%
270 minutes
Step-by-step explanation:
1. 9 plants - 15 minutes
x plants - 75 minutes
Cross multiply
15x = 75 x 9
15x = 675
Divide both sides by 15
x = 675/15
x = 45 plants
45/85 x 100
= 52.94%
2. 90% of 180
= 90/100 x 180
= 162 plants
9 plants - 15 minutes
162 plants - x minutes
Cross multiply
9x = 162 x 15
9x = 2430
Divide both sides by 9
x = 2430/9
x = 270 minutes or 4 hours 30 minutes.
What is the value of x?
Answer:
the solution is 4sqrt(2)
Please answer quickly
Answer:
1 1/2
Step-by-step explanation:
A quadrilateral has two angles that measure 290° and 20°. The other two angles are in a
ratio of 2:3. What are the measures of those two angles?
Answer:
Step-by-step explanation:
The remains two angles are 2x and 3x.
2x+3x = 360-290-20 = 50°
x= 10°
One angle is 20°. The last angle is 30°
5x10=50 add 10 5 times fjnlghfndhoenrjtorignfhpierjhipgjtrpihjtr
Answer:
ok
Step-by-step explanation:
Step-by-step explanation:
okay thanks......,......
I just need help trying to figure out what the answer is
What is the equivalent numerical value of the expression 2−4×27
Write the ratios in simplest form
35
210
Answer:
1:6.
Step-by-step explanation:
210/35 = 6
so the ratio 35:210 simplifies to 1:6.
Steve uses 14 blue beads and 6 green beads to make a bracelet. Which ratio compares the number of blue beads to the total numbers of beads in one bracelet?
A. 14:6
B. 6:14
C. 6:20
D. 14:20
There are 14 blue beads in total. If you use 14 blue needs and 6 green needs that is 14+ 6 which equals 20.
3·1·(5³ - 12²) - 254 =
dau oroana va roog√
Answer:
-311
Step-by-step explanation:
Answer:
- 311
Step-by-step explanation:
3 · 1 · (5³ - 12²) - 254
3 · 1 · (125 - 144) - 254
3 · 1 · (- 19) - 254
3 · (- 19) - 254
- 57 - 254
- 311
Joseph made 5% of his free throws over the season. If he shot 160 free throws, how many did he make?
i rly need help omagash
What is the value of the expression 8 − (7 − 4) + 12 x 2?
Question 4 options:
29
11
14
19
Answer:
this is the answer happy to help
Answer:
29
Step-by-step explanation:
[tex]8 - (7 - 4) + 12 \times 2 \\ 8 - 3 + 24 \\ 5 + 24 \\ 29[/tex]
I hope that is useful for you :)
what number can go into 48 and 24
Answer:
1, 2, 3, 4, 6, 8, 12, 16
Step-by-step explanation:
just factor it