which graph matches the linear equation x-3y=6

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer:

b) quadratic

Step-by-step explanation:

Answer:

b. quadratic

Step-by-step explanation:

it makes the shape of a parabola

hope this helps

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

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Step-by-step explanation:

Answer:

triangle EFD

Step-by-step explanation:

the axis of symmetry is x=2

Answer:

Step-by-step explanation:

The trick here is that the equation factors.

y= 2x^2 + 11x + 5

y = (2x + 1)(x + 5)

So either

2x + 1 = 0         subtract 1 from both sides      

2x = - 1             divide by 2  

2x = -1/2

or

x + 5 = 0          Subtract 5 from both sides

x = - 5

Answer: B and D

Answer:

E. is not a polynomial

Step-by-step explanation:

Because the degree of x is 2/5 which is not a polynomial.

Answer:

hmmm....

I don't think any of them are ????

[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......

it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??

Step-by-step explanation:

Polynomials cannot contain division by a variable.

For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.

Polynomials cannot contain negative exponents.

You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.

Polynomials cannot contain fractional exponents.

Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.

Answer:

∠9 and ∠12

Step-by-step explanation:

Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.

Hope this helped.

(Also sorry!)

Answer:

l = 14.6 m

b = 53.4 m

Step-by-step explanation:

Let breadth be x

Let lenght be 4x-5

so,

perimeter = 2(l+b)

136 = 2(4x-5+x)

or, 136 = 2(5x-5)

or, 136 = 10x - 10

or, 136 + 10 = 10x

or, 146 = 10x

or, x = 146/10

so, x = 14.6 m

so, breadth(x) = 14.6

so, lenght = 4x - 5

= (4×14.6)-5r

= 53.4m

A and B

I hoped it helped you

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

Answer:

4%

Step-by-step explanation:

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

                    = 3.93 = 4%

Answer:

0.02625

2.1 tenths

2.1

Step-by-step explanation:

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]=\frac{13}{36}[/tex]

      [tex]=0.36111[/tex]

[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]

[tex]\theta \approx 21.17[/tex]

[tex]\theta \approx 21^{\circ}[/tex]

Therefore, measure of the unknown angle is 21°.

Answer:

72 ml

Step-by-step explanation:

Let

x = amount of water that should be added

45% acid solution = 45/100 = 0.45

25% acid solution = 25/100 = 0.25

The equation is

90(0.45) = 0.25(x + 90)

40.5 = 0.25x + 22.5

40.5 - 22.5 = 0.25x

18 = 0.25x

Divide both sides by 0.25

x = 18/0.25

= 72

x = 72 ml

An exponential decay function goes down to the right, like in the picture attached.

An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

7

Step-by-step explanation:

The part timer works 5 hours a day

the difference between the part timer and fill time is 2

5+2=7

Answer:

B: 8

Step-by-step explanation:

we are given two numbers which we can use to help solve this problem

A: the number of hours the dishwasher is being used

B: how long it takes the dishwasher to do each load

using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.

10 / 1.25 = 8

Answer:

185 is the square root of 34225

Step-by-step explanation:

hope you understood!!

Answer:

7) 12,000

8) 0.0004253

9) -11/6 < x < -2/3

10) all possible numbers

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7