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3 years ago

Which statement describes a unit rate?

Mathematics

2 answers:

garik1379 [7]3 years ago

4 0

The answer is C
Hope this helps

nirvana33 [79]3 years ago

3 0

Hmmmmm...... about C or A

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The equation h=-16t^2 + 32t +9 gives the height of a ball, h, in feet above the ground, at t seconds after the ball is thrown up

Reil [10]

H = - 16 t² + 32 t + 9
The maximum height is at the vertex of the parabola:
t = - b / (2 a ) = - 32 : ( - 32 ) = 1 s
The ball will reach maximum height in 1 second.
h max = - 16 * 1² + 32 * 1 + 9 = - 16 + 32 + 9 = 25 m
The maximum height is 25 m.

3 0

3 years ago

A regular hexagon is dilated by a scale factor of 7/5 to create a new hexagon. How does the perimeter of the new hexagon compare

Airida [17]

It's the same ratio, 7/5.

3 0

4 years ago

Read 2 more answers

The first difference of a sequence is the arithmetic sequence

ad-work [718]

Answer:

a). 1, 3, 5, 7, 9, 11

b). 4, 6, 8, 10, 12, 14

c). 28, 30, 32, 34, 36, 38

Step-by-step explanation:

Solution for question (a):

The first difference of a sequence is the arithmetic sequence;

2, 4, 6, 8, 10

As clearly shown, the common difference (d) is 2.

This sequence, above, is an arithmetic sequence.

If the first term of an arithmetic sequence (AP) is 1, then the first six terms would be:

1, 3, 5, 7, 9, 11

Solution for question (b):

If the sum of the first two terms of an AP is ten,

Lets say the first term is x and the second term is x + 2 then;

x + (x + 2) = 10

2x = 10 - 2

x = 4

So the first term is 4 and the six terms of the AP are:

4, 6, 8, 10, 12, 14

Solution for question (c):

If the fifth term of an AP is 36 then,

To find the nth term in an AP we use the formula;

$T_{n} = a + (n - 1)d$ (where $T_{n}$ is the nth term, $a$ is the first term and $d$ is the common difference).

36 = a + (5 - 1)2

36 = a + 8

a = 36 - 8 = 28

So the first term is 28 and the first terms are;

28, 30, 32, 34, 36, 38

3 0

3 years ago

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,

maks197457 [2]

Answer:

(18,27) , because the rate of change of the function is $\frac{4}{3}$

Step-by-step explanation:

step 1

Find the slope of the linear equation

Looking at the table

we have the points (0,3) and (3,7)

The slope is equal to

$m=(7-3)/(3-0)=\frac{4}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=\frac{4}{3}$

$b=3$ -----> point (0,3) is the y-intercept

substitute

$y=\frac{4}{3}x+3$

The rate of change of the linear equation is equal to $\frac{4}{3}$

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

Verify

1) point (18,27)

substitute the value of x and the value of y in the linear equation

$27=\frac{4}{3}(18)+3$

$27=24+3$

$27=27$ -----> is true

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

$18=\frac{4}{3}(27)+3$

$18=36+3$

$18 \neq 39$ -----> is not true

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

3 0

3 years ago

Read 2 more answers

Which equation represents a line that passes through (-2, 4) and has a slope of ?

Paha777 [63]

The 3rd one I think is the right one

5 0

3 years ago