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blagie [28]
1 year ago
9

I don’t really understand how to get this one :/

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
3 0

in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

<h3>How to identify the transformation?</h3>

Here the parent function is:

f(x) = x^2

And the transformed function is the one graphed in the lower right side of the given image.

Notice that the y-intercept of the transformed function is y = 600.

The x-intercepts are x = -10 and x = 30

Then the polynomial is something like:

y = a*(x + 10)*(x - 30)

Using the fact that the y-intercept is y = 600, then:

600 = a*(0 + 10)*(0 - 30) = a*-300

600/-300 = a = -2

The transformed function is:

g(x) = -2*(x + 10)*(x - 30)

Expanding that:

g(x) = -2( x^2 + 10x - 30x - 300)

Completing squares we get:

g(x) = -2*(  x^2 - 20x - 300)

      = -2*(x^2 - 2*10*x - 300)

Now we can add and subtract 100, so we get:

-2*(x^2 - 2*10*x - 300 + 100 - 100)

-2*(  (x - 10)^2 - 400)

Finally, expanding that:

g(x) = -2*(x - 10)^2 + 800

Writing it in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

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Nine times the sum of a number and 4 is 3. Use the variable w for the unknown number
DENIUS [597]
9(w+4)=3
9w+36=3
w=-33/9
6 0
3 years ago
There 6 pounds of apples in one bag. Make a table to show how many pound of apples are in 6 bags. How do you your answer is easo
kotegsom [21]

Answer:

If there are 6 pounds of an apple in a bag and there are 6 bags you are going to do 6x6 which would be 36

Step-by-step explanation:

6 pounds

bags: oooooo

so 6 bags x another 6 pounds would be 36.

7 0
3 years ago
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Chef Selena is making her special dish that requires pasta, sauce, and onions.
PilotLPTM [1.2K]

Answer:

A and D. She can make 32 servings in total.

Step-by-step explanation:

This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.

5 1/8 + 4 7/8 + 6 = 16

This is choice A.

Then she must divide this by 1/2 because each serving is 1/2 pound.

16 ÷ 1/2 = 32

That is choice D.

7 0
3 years ago
Solve the following system using the substitution, elimination, or graphing method for the x coordinate:
igomit [66]
Hey there!

To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:

<span>  x + y = +1
5x + y = –6

</span>–1(x + y = +1)
   5x + y = –6

–x – y = –1
5x + y = –6

You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation. 

   –x – y = –1
+ 5x + y = –6

4x + 0y = –7
4x = –7
x = –1.75

Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem. 

x + y = 1
–1.75 + y = 1
+1.75        +1.75

y = 2.75

All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!

–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6

</span>(–1.75, 2.75) is the solution to your system. 

Hope this helped you out! :-)
3 0
3 years ago
The segments shown below could form a triangle. 4,3,6 PLZ HELP ASAP
Rzqust [24]

Answer:

Option A. True

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

we have

4,3 and 6

Applying the triangle inequality theorem

case 1) 4+3 > 6 -----> is true

case 2) 3+6 > 4 ----> is true

therefore

The given segments could form a triangle

Is true

6 0
3 years ago
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