Is the function f(x)
= -6x + 5 linear or nonlinear?

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

[tex]\angle CAT=\angle CAP+\angle PAT[/tex]

Also, [tex]\angle CAP = \angle PAT[/tex]

It gives, [tex]\angle CAT=2\angle PAT[/tex]

ATQ,

[tex]\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4[/tex]

So,

[tex]5x+17=2(3x-4)\\\\5x+17=6x-8[/tex]

Taking like terms together,

[tex]5x-6x=-8-17\\\\-x=-25\\\\x=25[/tex]

So, the value of x is 25.

Answer:

(-5,2); opens up

Step-by-step explanation:

In the equation y = a(x − h)² + k, if a is positive it opens up

The vertex is: (h, k)

Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.

(x-(-5)) = (x+5)

Answer:

12 unit squared....................

Answer:

72+67+82+79=300

300/4=75

300+81+81=462

462/6=77

Step-by-step explanation:

Answer:d=12

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

4x-9=-1

+9  =  +9

4x=9+(-1)

4x=8

divided by 2

x=2

Hope this helps :)

Answer:

d

Step-by-step explanation:

Answer: 26 Minutes

Step-by-step explanation:

3 mi * 1.609 km/1 mi = 4.82 km

4.82 km/ 18 minutes = 7 km/ x minutes

4.82x=18*7

x=126/4.82

x=26.14 ~ 26 Minutes

One mile contains  1 mile = 1.690KM.

According to the if we convert 7km into miles 4.3496 miles. Thus the correct answer for the question is 26 minutes  

Explanation:

That its taken the when john runs 18 minutes for 3 miles that is km4.82 than if we consider 1.34 miles is required to be covered more when subtract the value 4.3496-3.0000-1.34miles it should be 13is half of it multiply by 2 minutes more is required to cover the left distance is carried by Dividing 18by 1.34 and multiplying by 2

Thus we conclude that above answer to the Question is correct

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Answer:

_20

Step-by-step explanation:

that is my answer I just use calculator and I get that answer

Answer:

i think its a

Step-by-step explanation:

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

The slope of the linear function is -6

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as, dx/dy.

here, we have,

Method used for finding the slope

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

m = y2 - y1/x2-x1

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

m = -6

The slope of the linear function, m = -6

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Complete question:

The table represents a linear function.

What is the slope of the function?

0-6

O 4

х

-2

-1

0

1

2

у

8

2

-4

-10

-16

04

O 6

Mark this and retum

Save and Exit

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Submit

Answer:

Step-by-step explanation:

Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:

[tex]\frac{x}{800}+\frac{y}{700}\leq 1[/tex]                  (1)

The assembling can be represented by the inequality:

[tex]\frac{x}{1500}+\frac{y}{1200} \leq 1[/tex]                (2)

Also, x, y ≥ 0

The objective function is given as:

max z = 300x + 500y

Plotting 1 and 2 using online geogebra

From the graph, the optimal value is at (0,700). Hence:

max z = 300(0) + 500(700) = $350000

Answer:

74, 30, 13

Step-by-step explanation:

Answer: 74, 28 and 13

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

i took the quiz

Answerd

Step-by-step explanation:

Answer:

2/11

Step-by-step explanation:

10 1/2 is the same as 11/2. The reciprocal of 11/2 is 2/11

Answer:

Exact Form:

-97/10

Decimal Form:

−9.7

Mixed Number Form:

-9 7/10

Answer:

i think that it is -9 7/10

Step-by-step explanation:

-3 1/5+(-6 1/2. 3+6=9 1/5+1/2=7/10. and that would make the final answer -9 7/10

Answer:

She spent $5.25

Step-by-step explanation:

The total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Zoe bought 1.5 pounds of apples for $3.50 per pound.

Let x be the total cost of the product:

x = 3.50x1.5

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

x = $5.25

Thus, the total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.

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Answer:

B. (-2,-4)

Explanation

Given equations:

   y = 3x + 2

   y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

    3x + 2 = -2x - 8

Collect like terms and solve;

     3x + 2x = -8 -2

         5x  = -10

            x  = -2

Then put x = -2 into i, to find y

      y = (-2 x 3) + 2

       y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

Answer:

Step-by-step explanation:

You have to divide both numbers.

Answer:

30

Step-by-step explanation:

since the width is 20, there are 2 sides, so multiply by 2 and it's 40. Subtract 40 from 100 and you get 60. 60 is both lengths combined, so divide by 2 and you have 30 as your length. :)

Step-by-step explanation:

(b) x is at 2 twice, and -2 twice.

y is at 2 three times, and -2 three times.

The graph that fits is I.

(c) x is at 2 twice, and -2 twice.

y is at 2 once, and is never negative.

The graph that fits is IV.

(d) x is at 2 and stays there for a period of time.

y is at -2 and stays there for a period of time.

The graph that fits is II.

Answer:

1. Negative

2. Undefined

3. Positive

4. Zero

Step-by-step explanation:

just took notes on subject and know answer. 100% sure its right

The slope of a line is determined by its steepness.

The formula for calculating slope is expressed as;

[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]

Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative

For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of  LINE  2 will be UNDEFINED

For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]

Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive

For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE  4 will be ZERO

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Answer:

the distance will be 21 whatever feet and so on. :)

hope this helps