A linear function passes through (-2, 12) and (4,0). What is the slope of the function?

Explanation:

The formula for calculating the distance between two points is: d = √ ( x 2 − x 1 ) 2 + ( y 2 -y 1 ) 2  Substituting the points from the problem gives: d = √ ( 0 − 5 ) 2 + ( 4 − 1 ) 2   d = √ ( − 5 ) 2 + ( 3 ) 2 d = √ 25 9 d = √ 34 Or d =3 5.8 rounded to the nearest hundredth.

Answer:

36 units

Step-by-step explanation:

Answer:

uhhh i might be l;ate lol

Step-by-step explanation:

Answer:

ANSWER IS 70!

Step-by-step explanation:

Answer:

Step-by-step explanation:

5¾ + (-¼)

Turn the mixed number to an improper fraction.

5¾ + (-¼) = 23/4 - ¼ = (23-1)/4 = 22/4 = 11/2 = 5½

:::::

-⅔ + ⅙

Give the fractions a common denominator. The least common multiple of 3 and 6 is 6.

-⅔ + ⅙ =  -4/6 + 1/6 = -3/6 = - ½

:::::

-8/5 + (-¾)

Give the fractions a common denominator. The least common multiple of 5 and 4 is 20.

-8/5 + (-¾) = -32/20 - ¾ = -32/20 - 15/20 = -47/20

Answer:

x>3 or x≤-2

Step-by-step explanation:

4x-7>5 or 5x+4≤-6

4x>5+7 or 5x≤-6-4

x>3 or x≤-2

Answer:

 -9p3 + 6p2 + 9p - 26/ p

Step-by-step explanation:

hope this helps

Answer:

3ft 6in or 42 inches in total

Step-by-step explanation:

hope this helps

Answer:

[tex]2x + 6 = 12 \\ 2x = 12 - 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]

Answer:

1

Step-by-step explanation:

281,847,583,332.9

Answer:

I think 847

Step-by-step explanation:

The order of place value is trillion, billions, millions, thousands, and ones. Billion comes third. This is why I think its 847.

I hope this helps u! :D

Answer:

She is determined

Step-by-step explanation:

Answer:

Determined

Step-by-step explanation:

Yes because in it's the same variable do it will give the same answer

Answer: The entire trip is 62.5 miles

Step-by-step explanation:

25 miles = 0.4x

Divide both sides by 0.4

25/0.4 = 62.5 miles

Answer:

14 pushups per min

70 pushups in 5 min

Step-by-step explanation:

Answer:

Age of Qasim =  6 year

Age of Asif = 1 year

Step-by-step explanation:

Let :

Age of Qasim = x

Age of Asif = x -5

After 4 years there age will be:

Age of Qasim = x+4

Age of Asif = x-5+4 = x-1

We are given: Four years later, Qasim will be twice as old as  Asif.

Age of Qasim = 2 (Age of Asif)

x+4=2(x-1)

x+4=2x-2

2x-x=4+2

x=6

So, We get x = 6

The present ages will be:

Age of Qasim = x = 6 year

Age of Asif = x -5 = 6-5 = 1 year

Answer:

[tex]-\frac{11}{6}\ \frac{inches}{second}[/tex]

Step-by-step explanation:

Rate of Change

The average velocity is defined as the rate of change of the distance with respect to time. The table shows the distances of an object as a function of time.

It's required to find the average velocity between 8 s and 20 s.

The rate of change can be approximated as the slope between two points. We take from the table the points (8,32) and (20,10) and calculate the slope.

The slope can be calculated with the equation:

[tex]\displaystyle v=\frac{d_2-d_1}{t_2-t_1}[/tex]

[tex]\displaystyle v=\frac{10-32}{20-8}=\frac{-22}{12}[/tex]

Simplifying:

[tex]\displaystyle v=-\frac{11}{6}[/tex]

Choice: B. [tex]\mathbf{-\frac{11}{6}\ \frac{inches}{second}}[/tex]

Answer:

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

We have the polynomial [tex]p(x) = 3x^3-20x^2+37x-20[/tex]

It has a known factor [tex]x - 4[/tex]. This means that the polynomial can be written as:

[tex]p(x) = (x-4)q(x)[/tex]

In which q(x) is a second order polynomial, because p is of the third degree and q is of the first degree(3 - 1 = 2). So

[tex]q(x) = ax^2 + bx + c[/tex]

We have to find a, b and c. Then

[tex]3x^3-20x^2+37x-20 = (x-4)(ax^2 + bx + c)[/tex]

[tex]3x^3-20x^2+37x-20 = = ax^3 + (-4a + b)x^2 + (c - 4b)x - 4c[/tex]

Comparing both sides, we have that

[tex]a = 3[/tex]

[tex]-4c = -20 \rightarrow c = 5[/tex]

[tex]c - 4b = 37[/tex]

[tex]-4b = 32 \rightarrow b = -8[/tex]

Now we find the roots of this polynomial.

[tex]\bigtriangleup = b^{2} - 4ac = (-8)^2 - 4(3)(5) = 64 - 60 = 4[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{4}}{2*3} = \frac{5}{3}[/tex]

[tex]x_{2} = \frac{-(-8) - \sqrt{4}}{2*3} = 1[/tex]

So, as a product of it's factors, we have that q is:

[tex]q(x) = (x - \frac{5}{3})(x - 1)[/tex]

And p(x)

[tex]p(x) = (x-4)q(x)[/tex]

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Answer: (x-4)(3x-5)(x-1)

Step-by-step explanation:

Answer:

x=4, y=2 (4,2)

Step-by-step explanation:

This is a system of equations.

-2x+2y=-4

2x-3y=2

I'll use the elimination method to solve this.

add the two equations together.

what's left:

-y=-2

multiply both by -1

y=2

now, substitute 2 as y into one of the other equations.

For example:

-2x+2(2)=-4

-2x+4=-4

-2x=-8

x=4

hope this helps!

Answer:

(4, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-2x + 2y = -4

2x - 3y = 2

Step 2: Rewrite Systems

2x - 3y = 2

Step 3: Redefine Systems

-2x + 2y = -4

2x = 3y + 2

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

the first one hehdhdhrgdhfggd

9514 1404 393

Answer:

  2.  x ≈ 17.74

  3.  x ≈ 16.64

Step-by-step explanation:

The tangent function relates an angle to the opposite and adjacent sides of a right triangle:

  Tan = Opposite/Adjacent

Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...

  Opposite = Adjacent×Tan

__

2.  x = 32×tan(29°) ≈ 17.74

3.  x = 13×tan(52°) ≈ 16.64

_____

Hopefully, we've given enough decimal places so that you can round to the precision you need.

Answer:

6x + 24

Step-by-step explanation:

Distributive property means that multiply the bracket multiplies each part inside and keeps the signs the same:

6 * x = 6x

6 * 4 = 24

Answer:

6x+24

Step-by-step explanation:

6(x+4)

Distribute the 6 to each term inside the parentheses

6*x + 6*4

6x+24

Answer: 50,388,480

just keep multiplying or use a calculator

9514 1404 393

Answer:

  8 meters

Step-by-step explanation:

The height of the object and its shadow length are presumed to be proportional.

  object height/shadow length = S/7= 40/35

Multiplying by 7 gives ...

  S = 7(40/35) = 8

The statue is 8 meters tall.

My answer was wrong, I'm am very sorry

Answer:

x = 121

Step-by-step explanation:

In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.

Answer:

121

Step-by-step explanation:

x-93=28

x=28+93

x=121

Answer:

90 degrees

Step-by-step explanation:

Answer:

It would cost $21.84

Step-by-step explanation:

Becasue you first figure out how much one book mark cost and one costs 0.78. Then you just multiply 0.78 by 28(total amount of classmates.) Hope that helps:)

Answer:

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01

Step-by-step explanation:

Groups               Sample Size      Mean        Standard Deviation

1                              11                      65                   4.7

2                            16                      74                    2.5

Formulate null and alternate hypotheses as

H0 : u1 < u2 against Ha: u1 ≥ u 2

That is the mean of the group 1 is lower than the mean of the group 2

Degrees of freedom is calculated df = υ= n1+n2- 2= 11+16-2= 23

The significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 23) = -1.714

And if we choose alpha = 0.01 the critical region would be  

t ≤ -t (0.05, 23) = -2.5

Here the difference between the sample means is x`1- x`2= 65-74= -9

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/11+16-2 [ (65)²+(74)²]

= 1/23[ 4225+5476]

= 1/23[9701]

=421.782

Sp =√ 421.782=20.5373

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -9/ 20.5373√1/11+ 1/16

t= -9/8.0439

t= -1.118860

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01