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3 years ago

10

The current median home price is 287500, which is 15% higher than last years price. What was last years median home price?

1 answer:

Simora [160]3 years ago

6 0

287500 - 287500x0.15 = last year cost =244,375

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What is the area of triangle DEF?

Alex Ar [27]

2√14 square units

HOPE THIS WILL HELP U

3 0

3 years ago

Read 2 more answers

A line passes through the point (-8,9) and has a slope of 5/4.

Masteriza [31]

Answer:

The answer is

<h2> $y = \frac{5}{4} x + 19 \\$ </h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

$y - 9 = \frac{5}{4} (x + 8) \\ y - 9 = \frac{5}{4} x + 10 \\ y = \frac{5}{4} x + 10 + 9$

We have the final answer as

$y = \frac{5}{4} x + 19 \\$

Hope this helps you

5 0

4 years ago

For the function f (x) = 8 - x2 evaluate f (-2)<br> 4<br> 12<br> -32<br> 0

professor190 [17]

The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12

3 0

3 years ago

Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

What two numbers multiply to get 25 and add to -10

SOVA2 [1]

$x;\ y-the\ numbers\\\\ \left\{\begin{array}{ccc}xy=25\\x+y=-10&\to x=-10-y\end{array}\right\\\\subtitute:\\(-10-y)y=25\\(-10)(y)-y(y)=25\\-10y-y^2=25\\-y^2-10y-25=0\ \ \ \ |change\ the\ signs\\y^2+10y+25=0\\y^2+5y+5y+25=0\\y(y+5)+5(y+5)=0\\(y+5)(y+5)=0\\(y+5)^2=0\iff y+5=0\to \boxed{y=-5}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x=-10-y\\x=-10-(-5)\\x=-10+5\\\boxed{x=-5}\\\\Answer:\boxed{-5\ and\ -5}$

7 0

4 years ago