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4 years ago

Which coordinate pair fits the set of coordinates {(0, 4), (-2, 1), (-4, -2)} defined by a linearfunction?

Mathematics

1 answer:

dedylja [7]4 years ago

6 0

Answer:

y = 1.5x + 4

Step-by-step explanation:

Slope = (y2-y2)/(x2-x1)

= (1-4)/(-2-0) = -3/-2 = 3/2

y = (3/2)x + c

When x=0, y=4 (y-intercept is 4)

y = (3/2)x + 4

y = 1.5x + 4

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Select all the expressions equivalent to (4x⁵)(5x⁶).

Liula [17]

Step-by-step explanation:

$= 4 {x}^{5} \times 5 {x}^{6}$

$= (4 \times 5) {x}^{5 + 6}$

$= 20 {x}^{11}$

3 0

3 years ago

Jasmine bought 6.4 pounds of chewy candy from the local confectionary store. If she gave 2.06 pounds of the candy to her little

Tatiana [17]

The answer would be B. All you would do is subtract 6.4 - 2.06 and you would annex a zero after the four. Then you would get 4.34

8 0

3 years ago

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains poi

Zolol [24]

Answer:

The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).

y - 5 = 5(x-4)

y = 5x - 20 +5

y≈ 5x -15

4 0

2 years ago

Read 2 more answers

The set of ordered pairs represents a

Murrr4er [49]

Answer:

The rule that represents the function is $y=x^2+1$ therefore the function is $f(x)=x^2+1$

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that every pair has the form (x, y).

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

The easy evaluation is that when x=0, the value of y is y=1, and then we can evaluate the rule for x=-1, and x=1, the value of y is the same, y=2. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So we propose the rule $y=x^2+1$ which is correct for the first 3 values of x.

Now, we evaluate the proposed rule when x=2, and when x=3. This evaluations can be written as

$f(2)=2^2+1=5$

$f(3)=3^2+1=10$

Therefore, the rule is correct, and the function is

$f(x)=x^2+1$

8 0

3 years ago

Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.

Nataly_w [17]

Surface area of a ball:
S=4πr^2=4*π*5^2=100π

Volume of a circle:
V=4/3*π*r^3=4/3*π*125=(500/3)*π=165π

The approximate surface-area-to-volume ratio would be 1:1,5

6 0

3 years ago