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Lana71 [14]
2 years ago
11

Describe how you can use the information in a table showing a linear relationship to find the slope and y-intercept for the equa

tion
Mathematics
1 answer:
katen-ka-za [31]2 years ago
8 0
The easiest thing to find in a table showing a linear relationship is the slope. If the x is increasing by one each and every time (or cell because we are talking about tables), then the difference between each y value is the slope. Also, if you are lucky enough to have that sort of table, you can easily find the y-intercept by looking at the y value that is next to the x value of 0. Otherwise, work backward to find the y-intercept. For every x value you go down to try and get to 0, minus the y values also by the slope.
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Which function in vertex form is equivalent to f(x) = x^2 + 6x + 3?
OlgaM077 [116]
f(x)=x^2+6x+3

Complete the square:

x^2+6x+a^2\implies a=\dfrac{6x}{2x}=3\implies x^2+6x+3^3

And we have:

f(x)=x^2+6x+3\\\\f(x)=x^2+6x+3^2-3^2+3\\\\f(x)=(x+3)^2-9+3\\\\\boxed{f(x)=(x+3)^2-6}

Answer B.

3 0
3 years ago
The concession stand is selling hot dogs and hamburgers during a game. At
MAVERICK [17]

Answer:

44 hotdogs

30 hamburgers

Step-by-step explanation:

b r a i n and p a p e r

7 0
3 years ago
If f(x)=x^2-7 and h(x)=7x-5, then f(h(2))=
zaharov [31]
We are given 3 equations. Using these equations we can find f(h(2)).

h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9

f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74

so f(h(2))=74
5 0
3 years ago
1. The equation y=x^2-9x+20 models the roller coasters path over time. The variable y represents height (in feet) above or below
azamat

Answer:

1) the factored form is  y= ( x-5 ) ( x+4 )

2) the vertex is (4.5, -0.25)

3) the y intercept is when x equals 0 so it is at (0,20)

4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is  (0,20)

5)

a. it dips  between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)

b. it is taken at the vertex aka the lowest point so the height is -0.25

8 0
3 years ago
Read 2 more answers
The sum of a number and 9 is multiplied by -2 and the answer is -8
nadya68 [22]
9(-2)+x=-8
And x would be positive 26
7 0
3 years ago
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