Enter the equation of the line in slope-intercept form. Slope is 4, and (6,4) is on the line. The equation of the line is y=

Answer:

The fraction is undefined when x=-2

Step-by-step explanation:

The fraction will be undefined when the denominator is zero

x+2 = 0

x+2-2 = 0-2

x = -2

The fraction is undefined when x=-2

Answer:

as to me 5

Step-by-step explanation:

ask someone else to say that I am not sure if you have any questions or need any further information please contact me at the end of the world

Focusing on the center point of f(x) (0,0), we can see that it has moved to the left 4 units and up 3 units.

g(x) = [tex](\sqrt[3]{x + 4}) + 3[/tex]

Option C

Hope this helps!

Answer:

distributive

Step-by-step explanation:

a(b + c)=ab + ac

it's distributive one

Answer:

-52

Step-by-step explanation:

-4(x + 10) - 6 = -3(x - 2)

Distribute the left side to get:

(-4x + -40) - 6

Now distribute the right side to get:

-3x + 6

Arrange the equation as the following:

-4x - 40 - 6 = -3x + 6

Add the like terms on each side:

-4x - 46 = -3x + 6

Do the inverse operation of each term:

-x = 52

Now we need to get x to become a positive, so we just divide -x by -1 to get x.

And 52/-1 to get our final answer of -52.

Answer: -52

Step-by-step explanation:

-4(x + 10) - 6 = -3(x - 2)

Distribute the left side to get:

(-4x + -40) - 6

Now distribute the right side to get:

-3x + 6

Arrange the equation as the following:

-4x - 40 - 6 = -3x + 6

Add the like terms on each side:

-4x - 46 = -3x + 6

Do the inverse operation of each term:

-x = 52

Now we need to get x to become a positive, so we just divide -x by -1 to get x.

And 52/-1 to get our final answer of -52.

the average time of each runner is 12.36

Answer:

12.36 seconds

Step-by-step explanation:

Total time = 49.44 seconds

Students = 4

Average = 49.44/4 = 12.36 seconds

Answered by GAUTHMATH

Answer: i) [tex]\frac{1}{3}[/tex]

              ii) [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Total length of film = 45 mins

Fraction of time left after 15 mins = [tex]\frac{15}{45}[/tex]

                                                       = [tex]\frac{1}{3}[/tex]

Fraction of time left after 25 mins = [tex]\frac{25}{45}[/tex]

                                                        = [tex]\frac{5}{9}[/tex]

Answer:

$3.90

Step-by-step explanation:

136.44/35= (rounded tot the nearest hundredth) $3.90

Answer:

136.44÷36 =3.79

3.79×36=136.44

Step-by-step explanation:

So one ball cost 3. 79

Answer:

You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D

Step-by-step explanation:

1. 5x + 4x - 6x = 24

9x - 6x = 24

3x = 24

24/3 = 8

x = 8

2. 8y + 5 - 4y + 1 = 46

8y - 4y = 4y

5 + 1 = 6

4y + 6 = 46

4y = 46 - 6

4y = 40

40/4 = 10

y = 10

3. 33 = 5 ( x + 8 ) + 3

33 =  5x + 40 + 3 (because we distributed)

33 = 5x + 43

5x + 43 = 33 (just rewriting it to make it easier)

5x = 33 - 43

5x = -10

-10/5 = -2

so x = - 2

4. 2m + 3 ( m - 8 ) = 1

2m + 3m - 24 = 1

we got 3m - 24 because we distributed the 3

5m - 24 = 1

5m = 25

25/5 = 5

m = 5

5. p + p - 2p + 4p = - 48

2p - 2p + 4p = - 48

4p = - 48

- 48 / 4 = - 12

p = - 12

6. 2 ( y + 5 ) + 3y = 25

2y + 10 + 3y = 25

5y + 10 = 25

5y = 25 - 10

5y = 15

15/5 = 3

y = 3

7. 1/4 h + 3/4 h + 1/2 h + 2 = 5

1/4 h + 3/4 h + 1/2 = 3/2 h

3/2 h + 2 = 5

3/2 h = 5 - 2

3/2 h = 3

h = 2

8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )

60 = 4k + 12 + 2k - 6

4k + 12 + 2k - 6 = 60

6k + 6 = 60

6k = 60 - 6

6k = 54

k = 9

9. - 2 ( d + 1.4 ) - 1.8 = 20.6

-2d + - 2.8 - 1.8 = 20.6

-2d - 2.8 = 22.4

-2d = 25.2

d = - 12.6

10. 8 - 2 ( w + 4 ) = 10

8 + - 2 w + - 8 = 10

-2w + 9 + - 8 = 10

-2w = 10

10 / -2 = -5

w = -5

Answer:

allows us to accept the null hypothesis

Explanation:

The z test(in a normal distribution) score for the critical region determines whether we reject the null hypothesis(H0) or accept the null hypothesis(reject or fail to reject the null hypothesis). If we fail to reject the null hypothesis, then we have accepted the alternative hypothesis (H1). The critical region rejection for z test is calculated using alpha and z score, if z score is greater or less than alpha(positive or negative), we reject the null hypothesis.

Answer:

a) 10,025 m = 10km 25m = 10.025 km

b) 1,500 m = 1 km 500 m = 1.5 km

Answer:

a) 10025m = 10km 25m = 10.025km

b) 1500m = 1km 500m = 1.5km

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion.

Unit conversion is the conversion between different units of measurement for the same quantity.

1 km = 1000 m

Solve:

a)

b)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

384 kmph

Step-by-step explanation:

Answer:

2x + 30° = 40°

4x + 30° = 50°

Step-by-step explanation:

2x + 30° and 4x + 30° are complementary angles.

Complementary angles sum up to give 90°.

Therefore,

2x + 30° + 4x + 30° = 90°

Add like terms

6x + 60 = 90

6x = 90 - 60

6x = 30

6x/6 = 30/6

x = 5

✔️2x + 30°

Plug in the value of x

2(5) + 30

10 + 30

= 40°

✔️4x + 30°

4(5) + 30°

20 + 30

= 50°

Answer:

D) d ≥ 2.18

Step-by-step explanation:

d – 0.31 ≥ 1.87

d >_ 1.87 + 0.31

d >_ 2.18

Answer:

y = [tex]\frac{20}{9}[/tex]

Step-by-step explanation:

Since the figures are similar then the corresponding sides are in proportion, that is

[tex]\frac{JH}{PQ}[/tex] = [tex]\frac{FM}{ST}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{7}{3y-2}[/tex] ( cross- multiply )

6(3y - 2) = 28

18y - 12 = 28 ( add 12 to both sides )

18y = 40 ( divide both sides by 18 )

y = [tex]\frac{40}{18}[/tex] = [tex]\frac{20}{9}[/tex]

Answer:

20/9

Step-by-step explanation:

since the 2 are similar,

JH/PQ = FM/ST

6/4 = 7/(3y-2)

6(3y-2) = 7*4

18y-12=28

18y = 40

y = 40/18 = 20/9 = 2 2/9

Answer:

1.9385 kg

Step-by-step explanation:

Given :

Total kilogram of chicken = 2 kilograms

Amount left after dinner = 61.5 gram

Recall :

1000 grams = 1 kilogram

Hence,

61.5 grams = x kg

x = (61. 5 / 1000) = 0.0615 kg

Hence,

Amount eaten = Total chicken - amount left

Amount eaten = (2 - 0.0615) kg

Amount eaten = 1.9385 kg

Answer:

254,000,00

I hope this helps

Answer:

p = [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

Probability that you make the hockey team only: 2/3 * (1-3/4) = 1/6

Probability that you make the swimming team only: 3/4 * (1-2/3) = 1/4

Probability that you make the both team: 1/2

the probability that you at least make one of the teams: 1/6 + 1/4 + 1/2 = 11/12

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

Answer:

graph d

in graph d, the line intersects the x axis twice at (-1,0) and (4,0), so those two are the solutions of the graph

9514 1404 393

Answer:

  288 km²

Step-by-step explanation:

The surface area is the sum of the area of the square base and the area of the four triangular faces.

  SA = (10 km)² + 4(1/2)(10 km)(9.4 km) = 288 km²

____

The area formulas for a square and a triangle are ...

  A = s² . . . . area of a square of edge length s

  A = 1/2bh . . . . area of a triangle with base b and height h

Answer:

3.75

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Let T be the capacity of the tank.

Since the tank was 1/3 full and ends up 7/9 full.

         [tex]\frac{7}{9}[/tex]T - [tex]\frac{1}{3}[/tex]T = 12  

Simplifying the left side of the equation, tells us how much 12 gallons fills.

         [tex]\frac{4}{9}[/tex]T = 12

Now we solve for T:

         T = 12*9/4

         T = 27

Answer:

Step-by-step explanation:

(n-1)1.1

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the amount invested at 9%. Then the difference in interest amounts is ...

  (9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment

  0.14x -1343.80 = 720.78 . . . . . . . . . simplify

  0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80

  x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14

$14,747 is invested at 9%; $12,129 is invested at 5%.

Solution :

[tex]$H_0: p = 0.5$[/tex]

[tex]$H_a: p > 0.5$[/tex]

Alpha, α = 0.01

The sample proportion is :

[tex]$p'=\frac{x}{n}$[/tex]

   [tex]$=\frac{513}{806}$[/tex]

   = 0.636

Test statistics, [tex]$z=\frac{p'-p}{\sqrt{\frac{pq}{n}}}$[/tex]

[tex]$z=\frac{0.636-0.5}{\sqrt{\frac{0.5\times 0.5}{806}}}$[/tex]

[tex]$z=\frac{0.136}{0.0176}$[/tex]

z = 7.727

The p value = 0.00001

Here we observe that p value is less than α, and so we reject the hypothesis [tex]H_0[/tex].

Therefore, there is sufficient evidence,

9514 1404 393

Answer:

  (a)  C = 92/n

Step-by-step explanation:

The "inversely proportional" relation is represented by the equation ...

  C = k/n

The value of k can be found from the given values of C and n.

  23 = k/4

  23×4 = k = 92

Then the relationship is ...

  C = 92/n

Answer:

Step-by-step explanation:

⅝ - 5/9 = 5/72