Marcy concludes that the following system of equations has one solution.
y = 3x + 6
y = -2x + 10
Which characteristic of the equations did she use to reach this conclusion?
A. They have different slopes.
B. They have the same two variables.
C. They have y on the same side of the equation.
D. They have the same slope, but different y-intercepts.

Answer:

I think its. -9tt/8

-25tt/8

23tt/8

The coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].

The coterminal angles are the angles that have the same initial side and the same terminal sides.

To determine the coterminal angle of a given angle just adding or subtracting 360° or 2π to it.

The  coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is,

                   [tex]2\pi+\frac{7\pi}{8}=\frac{16\pi+7\pi}{8} =\frac{23\pi}{8}[/tex]

Hence, The  coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].

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Answer:

1.

- Gabe earns 13.5 per hour

2.

x ------------------ 4  ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

See attachment for complete question

Solving (a): Gabe's earnings per hour,

To do this, we simply calculate the slope (m) of the table.

[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]

Where

[tex](x_1,y_1) = (3,40.5)[/tex]

[tex](x_2,y_2) = (6,81.0)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]

[tex]m = \frac{81 - 40.5}{6 - 3}[/tex]

[tex]m = \frac{40.5}{3}[/tex]

[tex]m = 13.5[/tex]

Hence, Gabe earns 13.5 per hour

Solving (b): Jordan earnings

First, we calculate the equation of Gabe's table using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 13.5[/tex] and [tex](x_1,y_1) = (3,40.5)[/tex]

[tex]y - 40.5 = 13.5(x - 3)[/tex]

[tex]y - 40.5 = 13.5x - 40.5[/tex]

[tex]y = 13.5x[/tex]

If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;

[tex]y = 13.5x + 3[/tex]

When x  = 4

[tex]y = 13.5*4 + 3 = 54 + 3 = 57[/tex]

When x = 8

[tex]y = 13.5*8 + 3 = 108 + 3 = 111[/tex]

When x = 12

[tex]y = 13.5*12 + 3 = 162 + 3 = 165[/tex]

When x = 16

[tex]y = 13.5*16 + 3 = 216 + 3 = 219[/tex]

Answer:

2/15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

A) Juan wins the race

B) J(t) = A (t) at (7 minutes, 2 miles)

C) The interval is 7 minutes to 15 minutes

Step-by-step explanation:

a) Juan wins the race

The reason is that the time Juan took to cover the distance of 4 miles is shorter than the time Antonio took

b) J(t) = A(t) at what point

This simply refers to the point at which the two graphs cross over one another

We can see this at the point ; (7,2)

This is; 7 seconds and 2 miles

What this mean is that they both covered 2 miles in 7 seconds

c) interval where J(t) > A(t)

This is the interval at which Juan was ahead of Antonio

Juan was below within 7 minutes

after 7 minutes he picked up

so the interval is 7 minutes - 15 minutes

Answer and Step-by-step explanation:

[tex]\frac{x}{2}[/tex] is the answer.

The initial part is having the person walk a certain amount (shown as x feet). Then, the amount of x (in terms of feet) is halved, or divided by 2.

#teamtrees #WAP (Water And Plant)

Answer:

x/2

Step-by-step explanation:

x halved is x divided by two, namely x/2.

Hope this helps!

xoxo,

cafeology

The polygon has 6 sides.

'A polygon, in geometry is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.'

According to the given problem,

Sum of measures of angle = 720

We know,

Sum of interior angles of polygon = 180( n - 2 )

Where, n = number of sides.

⇒ 180( n - 2 ) = 720

⇒ n - 2 = 720/180

⇒ n - 2 = 4

⇒ n = 6

Hence, we can conclude that the polygon has 6 sides.

Learn more about polygon here:

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#SPJ2

Answer:

f(3) = 16

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 25 - 3² = 25 - 9 = 16

Answer:

f(3) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 25 - x²

f(3) is x = 3

Step 2: Evaluate

Answer:

He would get 56 dollars.

Step-by-step explanation:

56$

Answer:

B

Step-by-step explanation:

f(x)k= Example: f(2)= (2x-5)= f(2)= (2x2-5)= f(2)= (4-5)

Answer:

b.By moving f(x) k units to the right, you obtain the function f(x−k).

Step-by-step explanation:

:)

we will say that his original salary is x

x+10x/100=154000

we bring to the same denominator

(100x+10x)/100=154000

we multiply with 100

110x=15400000

we divide by 110

x=140.000

Answer:

B

Step-by-step explanation:

Answer:

First one would be B

Second one would be x ≥ 80

Answer:

slope = (-2 +3) / (12 -3)

= 1/9

Answer:

148º

Step-by-step explanation:

Use the information given:

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

Answer:

I think answer for ur question is 60

Answer:

16.65

Step-by-step explanation:

37 * 0.45 = 16.65

Answer:

is it 16.65????

Step-by-step explanation:

lol i took the testtt

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

Answer:

11

Step-by-step explanation:

1+red/3=4/1 so 1+red=12 so red=11. we should add 11 red counters

Answer:

Add 15 red counters

Step-by-step explanation:

Number of red counter is 1

Number of blue counter is 3

1:3⇒4:1

Now to make ratio reverse you need to add 11 (12-1) more red counters so that ratio becomes

12:3=4:1

hope this helps

Answer:

yea the answer  is a -27

Step-by-step explanation:

2 x 9 = 18

3 x 9 = 27

Answer: 700 tons of coal consumed in 10 weeks.

Step-by-step explanation:

first you find how much coal is consumed in 1 week which is 70 tons, then you multiply the 70 tons by 10 weeks because you are trying to find how much tons of coal can be consumed in to weeks and when you do that you should get 700 tons of coal for 10 weeks.

Answer

382.1

Step-by-step explanation:

its 5 times 76.42ft2.

plz mark as brainliest btw

Answer:

A) slope is -12

B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210

Step-by-step explanation:

Answer:

CF = 16

Step-by-step explanation:

BCDE is a parallelogram. CE and BD are its diagonals.

Diagonals of a parallelogram bisects each other.

[tex]

\therefore \: CF = \frac{1}{2} \times CE\\\\

\therefore \: CF = \frac{1}{\cancel 2} \times \cancel {32 } \:\:\:\:\purple{\bold {16}} \\\\

\therefore \: CF = 16 [/tex]

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.

Answer: If you got 18 points out of 28 that would be like a 64 (D)

Step-by-step explanation:

Answer:

$1,120

Step-by-step explanation:

Lenders prefer to see a debt-to-income ratio smaller than 36%, with no more than 28% of that debt going towards servicing your mortgage. 12  For example, assume your gross income is $4,000 per month. The maximum amount for monthly mortgage-related payments at 28% would be $1,120 ($4,000 x 0.28 = $1,120).

Answer:

41, 28

Step-by-step explanation:

x+x-13=69

2x=69+13=82

x=82/2=41

41-13=28

Answer: P(x) = 20x - 96,000

Step-by-step explanation:

Cost revenue and profit function.

Cost function;

C(x)= 40x + 96,000

Revenue function;

R(x)= 60x

Profit = Revenue - Cost

P(x) = 60x - (40x + 96,000)

P(x) = 20x - 96,000

Step-by-step explanation:

A. 24

.....

hope it helps !

Answer:

The answer is probably A