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2 years ago

Tell whether the two rates form a proportion: 35 cars in 5 days 60 cars in 10 days

Mathematics

1 answer:

monitta2 years ago

6 0

Yes they both are proportional. you can do 7 cars each day for 5 days. and then you can do 6 cars a day for 10 days

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What would be the slope of (1,-2) and (3,0)

vivado [14]

Answer:

Step-by-step explanation:

Hello :)

So to answer this problem, we can use the rise over run formula.

The rise is the difference of any two y values.

The run is the difference of the x values from the same two y values.

This question gives us 1,-2 and 3,0

We can use them for the formula:

-2 - 0 divided by 1 - 3

-2/-2 = 1

6 0

2 years ago

Read 2 more answers

Given: 4 < a < 5, 2 < b < 4 Find: a/3b - b/3a<br><br> Please answer fast!!

vesna_86 [32]

Answer:

answer

Step-by-step explanation:

you have to subtract 3b from 3a so the answer is 0.

7 0

2 years ago

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1

Jobisdone [24]

Answer is $506.25.
first month is $100,
second month is 100 times 1.5 which is 150.
thirst month is 150 times 1.5 which is 225.
fourth month is 225 times 1.5 which is 337.5
fifth month is 337.5 times 1.5 which is 506.25

3 0

3 years ago

-4 times a number plus 16 is -116. find the number and show work.

pav-90 [236]

-4*25 = -100+16 = -116

6 0

3 years ago