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dimulka [17.4K]
1 year ago
5

What are the steps to my answer?

Mathematics
1 answer:
stepan [7]1 year ago
7 0

Answer:

<h3>f[g(x)] = 4x²+6x-3</h3>

Step-by-step explanation:

  • f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)
  • f[g(x)]=4x²+6x-3...simplified
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Complete the table of values for the equation, 16x + 4y = 12.
Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

  • a= the slope;
  • b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

  • For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

  • For x= -1,  the value of y will be:

         16*(-1)+4y=12

  • -16+4y=12
  • 4y=12+16
  • 4y=28
  • y=7
  • For x= 0,  the value of y will be:

         16*(0)+4y=12

  • 0+4y=12
  • 4y=12
  • 4y=12
  • y=3
  • For x= 1,  the value of y will be:

         16*(1)+4y=12

  • 16+4y=12
  • 4y=12-16
  • 4y=-4
  • y= -1
  • For x= 2,  the value of y will be:

         16*(2)+4y=12

  • 32+4y=12
  • 4y=12-32
  • 4y=-20
  • y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
The cost of oranges varies directly as the number of oranges sold. If 8 oranges cost $10.40, how many oranges can be bought for
alexdok [17]

Answer:

26

Step-by-step explanation:

if you can get 8 oranges for 10.40 then divide 10.40 by 8. you can get each orange for 1.3. you need to know how many oranges you can get for 33.8 so divide that by 1.3 and you get 26

6 0
3 years ago
Read 2 more answers
Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
Otrada [13]

Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

\implies4n^2+2n-12=0

\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0
3 years ago
A shop sells 3 pairs of boots at size 6, 5 pairs at size 7. 8 pairs at
alina1380 [7]

modusAnswer:

median=8

modusmodusmodus=8

Step-by-step explanation:

6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,11

median=[ttTTeTTextTTeTTexteTexTTeTTextTTeTTexteTex]X_{\frac{21+1}{2}}=X_11

4 0
2 years ago
Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.
NARA [144]

9514 1404 393

Answer:

  10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  m = √(20×25) = √500 = √100 × √5

  m = 10√5

The geometric mean of 20 and 25 is 10√5.

6 0
2 years ago
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