What is the slope (-7,2) (4,6)

Barbara can pay either $80 per month or one lump sum of $800 per year for car insurance. How much does she save yearly if she ch

Schach [20]

Answer:

$160

Step-by-step explanation:

In the monthly payment option she would pay $80 per month, therefore in a year (12 months) she would pay:

$80*12 = $960

We can see that this amount is greater than the $800 she would pay in the lump sum payment option.

The money she would save is:

$960 - $800 = $160

She would save<u> $160 yearly</u> with the lump sum payment option.

4 0

2 years ago

y = 2x squared + 5x -3 can be written in the form y= 2( x+a) squared + b . Find the value of a and the value of b.

Elan Coil [88]

General vertex form:

$y = m(x − a)² + b \: with \: vertex \: at \: (a, b)$

Given :

$y = 2x² + 5x - 3$

Extract "spread factor" m

$y = 2( x² + \frac{5}{2} x) - 3$

Complete the square

$y = 2(x² + \frac{5}{2}x + ( \frac{5}{4})²) - 3$

$- 2( \frac{5}{4})²$

Write as a squared binomial and simplify the constant

$y = 2(x + \frac{5}{4})² - 6 \frac{1}{8}$

Re-write to match signs of standard general form:

$y = 2(x - ( - \frac{5}{4}))² \: + ( - 6 \frac{1}{8})$

3 0

1 year ago

The rectangles in the figure below are similar. Find the value of x

V125BC [204]

Answer:

C. 6

Step-by-step explanation:

It is given that the rectangles in the figure are similar.

<em>Thus, the corresponding sides of the two rectangles will be equal.</em>

So, we get,

$\frac{3}{x}=\frac{5}{x+4}$

i.e. $3(x+4)=5x$

i.e. $3x+12=5x$

i.e. $2x=12$

i.e. x = 6.

Hence, the value of x is 6.

3 0

2 years ago

Read 2 more answers

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh

viktelen [127]

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by $4/3 \pi r^3$

surface area of sphere is given by $4 \pi r^2$

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere and surface area of sphere

assuming r as the radius.

thus,

$4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3$

Thus, radius of sphere is 3 units.

5 0

2 years ago

What Is The Rate Of Change In This Function?

Marrrta [24]

Answer:The answer would be 35 miles per day.

Step-by-step explanation:

We know the x axis is in days and the y axis is the distance in miles. There are only three answers left. We can also cross out 50 miles per day since the rate of change is less then 50. The answer is 35 miles per day because if the rate of change were to be 25 in 4 days the distance would be 100 miles, while is you look at where the point is at it is closer to 150.

6 0

2 years ago