Evaluate the following linear equation y = 7x - 2, when x = 3.
20 points

Answer:

rude customers and complaints

Answer:

Ignorant managers.

Step-by-step explanation:

Ignore them

Find somewhere else to move.

9514 1404 393

Answer:

  (c)  y=2^x

Step-by-step explanation:

You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.

  5^2 ≠ 32

  2×5 ≠ 32

  2^5 = 32 . . . . . a good candidate

  5 +2 ≠ 32

Only the third choice matches the given ordered pairs.

__

If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).

Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).

Step-by-step explanation:

First, you need to calculate how much they will earn per hour by multiplying their raise per hour by there hours and adding it to their earnings divided by the hours worked. Then, whoever's is the highest will be the answer.

Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

A division is a process of splitting a specific amount into equal parts.

To find the new earnings per hour for Hanna and Dien

Divide their total earnings after the raise by the total number of hours they worked after the raise.

The raise per hour is already given, so we can simply add it to their old hourly rate.

For Hanna, her new hourly rate would be:

(New earnings) / (Hours worked) = (78 + 8) / 8

= 86 / 8

= $10.75

This means that Hanna will earn $10.75 per hour after the raise.

For Dien, his new hourly rate would be:

(New earnings) / (Hours worked) = (60.60 + 3) / 6

= 63.60 / 6

= $10.60

This means that Dien will earn $10.60 per hour after the raise.

Therefore,  Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

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4, 5, 6, 7 & 8 are exterior angles.

Answer:

See answers below.

Step-by-step explanation:

Exterior angles are angles that form a linear pair with an angle of a triangle.

Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)

A. Exterior angles are ∠8, ∠7, ∠5,  ∠4, and ∠6

B.   Remote interiors angles are :

      Looking at ∠6, the remote interior angles are ∠1 and ∠2

      Looking at ∠8, the remote interior angles are  ∠1 and ∠2

      Looking at  ∠5, the remote interion angles are ∠1 and ∠3

C.   ∠6 and ∠8 are vertical angles which are ≅ and equal.

Answer:

Step-by-step explanation:

-3y<-14

divide both sides by -3

y<4.67

i’m not exactly sure what the question is asking or what you’re trying to find, but this is what i could figure out.

Answer:

y>14/3

I'll provide the step by step solution too.

=3y÷(-3)>-14÷(-3)

y>-14÷(-3)

y>14÷3

turn it into a fraction

y>14/3

hence your given answer above

[tex]b = 2 - \dfrac 1a\\\\\implies ab = 2a -1\\\\\implies 2a -ab = 1\\\\\implies a(2-b) =1\\\\\implies a = \dfrac 1{2-b}[/tex]

1.00065528... Is the correct answer.

Answer:

3.544 < 3.55 < 3.554

Step-by-step explanation:

Answer:

3.554 3.55 3.544

Step-by-step explanation:

i hope this answer helps you <3

Answer:

40 students earned a B on this paper.

40%×80=32 people who chose action as their fav.

Answer:

x = 1

Step-by-step explanation:

2(3x - 7) + 18 = 10 ( subtract 18 from both sides )

2(3x - 7) = - 8 ( divide both sides by 2 )

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

273.75 days

Step-by-step explanation:

Answer: The answer is 8/9

Step-by-step explanation:

Answer:

53/9 or 5 and 8/9

Step-by-step explanation:

5 1/3 + 5/9

we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get

16/3

we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:

48/9

now we can add the two:

48/9 + 5/9 = 53/9 or 5 and 8/9

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Answer:

D: Both the slopes and the y-intercepts are the same.

Answer:

its the same

Step-by-step explanation:

the slope is -2 and the y-intercept is (0,3)

Answer:

159.1

Step-by-step explanation:

The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.

Answer:

y=(7/4)x + 12, y=(-4/7)x -46/7

Step-by-step explanation:

first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12

parallel:

since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7

Answer:

3/2

-4

Step-by-step explanation:

y = mx + c

m = slope = y2 - y1 / x2 - x1

= -4 -2 / 0 - 4

= -6/-4

= 3/2

c = y intercept

y when x = 0

c = -4

Answer:

[tex]y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ [/tex]

Answer:

Whats the question?

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation

6 slices each 280 calories, 280 x 6 = 1,680

Answer:

12.3

Step-by-step explanation:

i took the quiz

ABC=50

DCE=65

DEF= I think 115

I hope that helps I would appreciate brainliest if possible :)

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

Answer:

it should be 2/12 and 9/11

Step-by-step explanation:

Answer:

9)    a = ¾, vertex: (-4, 2),  Equation: y = ¾|x + 4| + 2

10)  a = ¼, vertex: (0, -3),  Equation: y = ¼|x - 0| - 3

11)   a = -4,  vertex: (3,  1),   Equation: y = -4|x - 3| + 1

12)  a = 1,    vertex: (-2, -2),  Equation: y = |x + 2| - 2

Step-by-step explanation:

I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.

The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:

|a|  = determines the vertical stretch or compression factor (wideness or narrowness of the graph).

(h, k) = vertex of the function

x = h represents the axis of symmetry.

Solve for a:

In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):

y = a|x – h| + k

5 = a| 0 - (-4)| + 2

5 = a| 0 + 4 | + 2

5 = a|4| + 2

5 = 4a + 2

Subtract 2 from both sides:

5 - 2 = 4a + 2 - 2

3 = 4a

Divide both sides by 4 to solve for a:

[tex]\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}[/tex]

a = ¾

Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:

Equation:  y = ¾|x + 4| + 2

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):

y = a|x – h| + k

-2 = a|4 - 0| -3

-2 = a|4| - 3

-2 = 4a - 3

Add 3 to both sides:

-2 + 3 = 4a - 3 + 3

1 = 4a  

Divide both sides by 4 to solve for a:

[tex]\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}[/tex]

a = ¼

Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:

Equation:  y = ¼|x - 0| - 3

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):

y = a|x – h| + k

-3 = a|4 - 3| + 1

-3 = a|1| + 1

-3 = a + 1

Subtract 1 from both sides to isolate a:

-3 - 1 = a + 1 - 1

a = -4

Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:

Equation:  y = -4|x - 3| + 1

Solve for a:

In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):

y = a|x – h| + k

0 = a|-4 - (-2)| - 2

0 = a|-4 + 2| - 2

0 = a|-2| - 2

0 = 2a - 2

Add 2 to both sides:

0 + 2  = 2a - 2 + 2

2 = 2a

Divide both sides by 2 to solve for a:

[tex]\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}[/tex]

a = 1

Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:

Equation:  y = |x + 2| - 2

Answer:

0.267

Step-by-step explanation:

the answer is 0.267

The table shows the results for spinning the spinner 80 times. The relative frequency for the event​ "spin a 3​" is 0.32.

Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

In the problem given,

The table shows the results for spinning the spinner 80 times.

Number of Outcomes of "Spin a 3"=16

Total Number of Trials =50

Therefore,

The relative frequency for the event​ "spin a 3​" = 16/50

                                                                             = 0.32

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Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

Step-by-step explanation:

RV = QV but also = PV = 26

because RVQ and RVP are both isoceles triangles.

TR = QR/2 = 24/2 = 12

because T is the middle point of RQ.