Austin earns $9.75 an hour at a part-time job, and earns $12 each time mowing lawns in the neighborhood. They graph the amount of hours worked at the part-time job (X) and the number of lawns mowed (Y) to determine how to earn more than $300. Which type of boundary line should be used in the graph?HELP!

Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

The product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

The product of two polynomials is simply the multiplication of both polynomials together.

Given:

(x − 3)(2x² − 5x + 1)

Multiply using the distributive property

x(2x² − 5x + 1) -3(2x² − 5x + 1)

2x³ - 5x² + x - 6x² + 15x - 3

Combine like terms

2x³  - 11x² + 16x - 3

Therefore, the product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

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Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Answer:

288/5

Step-by-step explanation:

simplified: (2³x 9) x 4/5 = 288/5

Answer:

the first, second and fifth ones

Step-by-step explanation:

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

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Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or  3 / 4.

Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

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Answer: {a}_{10} = 128

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer:

y=-1/3x+9

Step-by-step explanation:

Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 3842 and 2642.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two numbers:

The difference between the numbers is 1200.

The total of the two numbers = 6484.

Let the numbers be M and N.

Now,

M - N = 1200 ____(1)

M + N = 6484 _____(2)

From (1) and (2) we get,

M = 1200 + N ____(3)

Putting (3) in (2) we get,

1200 + N + N = 6484

1200+ 2N = 6484

2N = 6484 - 1200

2N = 5284

N = 5284/2

N = 2642 putting in (3) we get,

M = 1200 + N

M = 1200 + 2642

M = 3842

Thus the two numbers are 3842 and 2642.

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Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

3156 out of 40467 adults experienced depression, hence:

[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]

The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

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☞ 9m

☞ 16m

Formula: A = lw

Whereas:

A = area

l = length

w = width

[tex]a = lw \\ 9 \times 16 \\ a = 144m[/tex]

[tex]\huge\color{pink}\boxed{A = 144m}[/tex]

Answer:15

Step-by-step explanation:

x=180-(110+55)=15

Answer:

B - A = 4x - 10

Step-by-step explanation:

B - A

= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1

= 9x - 6 - 5x - 4 ← collect like terms

= 4x - 10

Answer:

4x-10

Step-by-step explanation:

Answer:

an apple would remain

Step-by-step explanation:

Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:

Step-by-step explanation:

6^2+ (59 - 4 ) = 36 + 55 = 91

I'm taking this to mean 11*2 If I am wrong leave a note.

11*2 = 22

91 / 22 = 4.14

Answer:

B

Step-by-step explanation:

Because it starts from the smallest negative prefix to largest

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)