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Hatshy [7]
3 years ago
14

The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair

s 11, 0.4 and 12, 0.8 and 13, 1.2 and 14, 1.6 and 15, 2 and 16, 2.4 and 17, 3 and 18, 3.2 and 19, 3.6 and 20, 4 Which of the following functions is best represented by the scatter plot?
Mathematics
1 answer:
kkurt [141]3 years ago
8 0
The function would be f (x) = 0.4x - 4.

Explanation
We can see that this is linear, since it increases at a constant rate.  We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4

We use point-slope form to write the initial equation:

y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)

Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4

Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
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If f(x) = 2x2 + bx + c, find the value of "c" that makes the vertex of the given graph the same as the vertex of f(x).
AlekseyPX

Well it was a lucky guess but the answer is 75

8 0
3 years ago
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4 consecutive odd integers add up to -200. Find the integers.
Alexeev081 [22]
Let
x = first odd integer
x + 2 = second odd integer
x + 4 = third odd integer
x + 6 = fourth odd integer

x + (x + 2) + (x + 4) + (x + 6) = -200
4x = -200 - 2 - 4 - 6
4x = -212
x = -53

Therefore, the four consecutive integers are -53, -51, -49, -47.
4 0
3 years ago
Find an equation for the line with slope m through the point (a,c).
lidiya [134]
If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

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

If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

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

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma

Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

4 0
3 years ago
Bobby is buying ribs for his 4th of July cookout. The ribs are on sale for $3.50 per pound. If Bobby buys 5.5 pounds of ribs, ho
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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3.2 geometry worksheet
alekssr [168]

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

3 0
3 years ago
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