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Scilla [17]
3 years ago
6

Write a linear function f with the values f(0)=−3 and f(7)=11.

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

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A bird flies up and then down again, approximately following the
BaLLatris [955]

Answer:

  • 112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

  • x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

  • y = - 0.5(15²) + 15(15) = 112.5 ft
4 0
2 years ago
Make f the subject of the formula c=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28f-32%29%7D%7B9%7D" id="TexFormula1" title="\
lara31 [8.8K]

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

\frac{9\times5\left(f-32\right)}{9}=9c

5\left(f-32\right)=9c

Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

f-32+32=\frac{9c}{5}+32

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8 0
3 years ago
Find the value of X. I greatly appreciate your help
melamori03 [73]

Answer:

x = 14

Step-by-step explanation:

comp = add up to be 90

3x + 14 + 2x + 6 = 90

5x + 20 = 90

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3 0
3 years ago
Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)
DIA [1.3K]

Answer:

x - 11

Step-by-step explanation:

Let f(x) = -5x - 4 and g(x) = 6x - 7.

f(x) + g(x)

I like to line them up vertically

-5x - 4

6x - 7

--------------

x-11

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3 years ago
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
vitfil [10]

Answer:

Step-by-step explanation:

PART A:  2x^5 + 3x^2-3

It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least

part B:

Closure property is  applicable to the subtraction of polynomials.

for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.

if we subtract these two polynomials, the outcome

2x^4-2x^3+2x^2-2x-7 is also a polynomial

4 0
3 years ago
Read 2 more answers
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