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NeX [460]
3 years ago
7

What is the slope of (6,4) and (15,12)

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer: Slope (m) =

ΔY

ΔX

=

8

9

= 0.88888888888889

Step-by-step explanation:

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To join a local square dancing group, jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) b
Tamiku [17]
Y = 25x + 100 <== ur equation
4 0
4 years ago
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The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
Arturiano [62]

Answer:

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

Step-by-step explanation:

Given that annual premium for automobile insurance in the United States  (Insure website, March 6, 2014), are as follows:

Mean 1440.00

SD 165.00

SEM 33.00

N 25    

a) H_0: \bar x = 1503\\H_a: \bar x

(left tailed test at 5% level)

b) a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

=1440-1503\\=-103

c)    df = 24

 standard error of difference = 33.000

t = 1.9091

The   95% confidence interval of this difference:

From -131.11 to 5.11

p value = 0.0683

Since p >0.05, we accept H0

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

4 0
4 years ago
When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
Roman55 [17]

Answer:

x = -1

Step-by-step explanation:

First, we can translate this statement to the equation

x^2-5=4x

Subtracting 4x from both sides gives us a quadratic equation:

x^2-4x-5=0

From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like

(x+a)(x+b)=0

We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation

(x+1)(x-5)=0

And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.

3 0
3 years ago
A line includes the points (-3, 8) and (-1, 2). What is its equation in slope- intercept form
DedPeter [7]
Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.

1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3

2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)

simplify to slope intercept by solving for y

y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1
6 0
4 years ago
I need a lot of help with practice problems, I am not understanding math right now. Please help!!!!!! Will give brainliest!!
34kurt

Answer:

1. 18 (sqrt21 - sqrt2a)

2. 3

3. x^m/n

4. (5x^4√10)/(√2x)

5. x = -2 or -6

6. x = 30

Step-by-step explanation:

Number 1

3^3sqrt21 - 6^3sqrt2a

3 * 6 * sqrt21 - sqrt2a

18 (sqrt21 - sqrt2a)

Number 2

3^1/2 * 3^1/2 =

3^1/2+1/2 =

3^1 =

3

Number 3

^nsqrtx^m =

x^m/n

Number 4

(√250x^16)/(√2x) =

(√25 * 10 * x^16)/√(2x )=

(5x^4√10)/(√2x)

Number 5

√2x + 13 - 5 = x

√2x + 13 = x + 5

square both side to take away the sqrt sign

(√2x + 13)^2 = (x + 5)^2

expand the equation on the RHS

2x + 13 = x(x+5) + 5(x+5)

2x+13 = x^2 + 10x +25

substract 13 from both sides

2x = x^s + 10x +12

subtract 2x from both sides

0 = x^2 +8x + 12

Factorize equation

x^2 + 6x +2x + 12 = 0

x(x+6) + 2(x+6) = 0

(x+2)(x+6) = 0

x = -2 or -6

Number 6

3 ^5sqrt(x+2)^3 + 3 = 27

subtract 3 from both sides

3 ^5sqrt(x+2)^3  = 27 - 3

3 ^5sqrt(x+2)^3  = 24

divide through by 3

^5sqrt(x+2)^3  = 8

square both sides by 5 to take away the 5th root sign

(x+2)^3  = (8)^5

(x+2)^3  = 32,768

take the cube root of both sides to take away the ^3

x+2 = ^3sqrt 32,768

x+2 = 32

x = 32 - 2

x = 30

3 0
4 years ago
Read 2 more answers
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