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ivolga24 [154]
2 years ago
10

For f(x)=x^2,sketch the graph of g(x)=f(-5x+10)

Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

The graph of g(x) = f(-5x+10) is given in the figure.

<h3>What is a graph?</h3>

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

<u><em>x </em></u><u>g(x)</u>

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

More about graph :

brainly.com/question/11616742

#SPJ1

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Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags
Paladinen [302]
Let's start by writing a system of linear equations:
c -> cookies 
cb -> candy bars
(You can use any abbreviations to your preference)

Abby:
4 cookies 
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25

Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75

So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75

I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.

(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50

      4c + 3cb = $10.25
   -  4c+14 cb = $29.50                    (4c would get canceled.)
---------------------------------
             -11 cb = - $19.25                (Divide by -11 to solve for cb)
</span>             ---------   -------------
              -11           -11
            
             cb = $1.75

Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations. 

  4c + 3 (1.75) = $10.25
  4c + 5.25 = $10.25                       (Multiply 3 by 1.75)
       -5.25       -5.25                         (Subtract 5.25 on both sides)
             4c = 5                                 (Divide by 4 on both sides to get c)
             ----   ---
              4      4
         
         c= 1.25

Check the work:
4(1.25) + 3(1.75) 
  = $10.25

2(1.25) + 7(1.75)
   = $14.75

Total cost:
cookies = $1.25
candy bars = $ 1.75

Hope this helps! :)

6 0
4 years ago
Show how to make ten to solve 13-7. Write in a number sentence. _-_-_-_-_=_
ser-zykov [4K]

Answer: The answer is 6.

The number sentence is

3-3=0

10-4=6

So, 13-7=6

Step-by-step explanation:

To solve 13-7, by making ten

First break 13 and write 13=10+3

Then break 7 as 7=3+4

Now to subtract 7 from 13,

Step 1. Subtract 3 (a part of 7), from 3(a part of 13) or cross 3 circles, then we have left 10-4

13-7=10+3-(3+4)=10+3-3-4=10-4

Step 2. Subtract 4 from 10 or cross 4 circles out of 10, we get 6.

The answer is 6.

5 0
3 years ago
Read 2 more answers
The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?
Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

2y=8x

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

<em>The equation representing proportional relationship is given by:</em>

<em>y=kx</em>

<em>where k represents constant of proportionality.</em>

So, in order to find the value of k for the given proportionality relationship, we will solve for y

We have:

2y=8x

Solving for y

Dividing both sides by 2.

\frac{2y}{2}=\frac{8x}{2}

y=4x

∴ k=4

Thus, the constant of proportionality = 4.

4 0
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Water stations will be placed every 600 m of a 15 km race how many water stations will be needed
Jlenok [28]
I'm not sure but I think it's 40 water stations...
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3 years ago
According to the recipe, 2 1/2 cups of chocolate chips are needed to make a large batch of cookies. Manuel decided to make only
Marat540 [252]

Answer:

6

Step-by-step explanation:

No exact amount of cookies so if its a large batch we'll say there is 45 cookies 45 divided by 1/3 is 15

So 15 divided by 2 1/2 = 6

So your answer is 6.

5 0
3 years ago
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