Use what you know about domain to select all of the following functions that could be the one graphed.

2(3/4L-1) + 2(18) = 2L + 2(12)

Distribute

3/2 L -2 +36 = 2L +24

Subtract 3/2 L from each side

-3/2 L-3/2L

-2+36 = 4/2L-3/2L +24

34 = 1/2L +24

Subtract 24 from each side

34-24 = 1/2 L +24-24

10 = 1/2L

Multiply each side by 2

10*2 =1/2L * 2

20 = L

Answer:

y = (7/4)x + 2

Step-by-step explanation:

(-4, -5) and (0, 2)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 2 - (-5) 2 + 5 7

m = ------------- = ------------- = ------------- = --------

x₂ - x₁ 0 - (-4) 0 + 4 4

(it doesn't matter which points you put)

y - y₁ = m(x - x₁)

y - 2 = (7/4)(x - 0)

y - 2 = (7/4)x - 0

+2 +2

----------------------------

y = (7/4)x + 2

I hope this helps!

Answer:

D

Step-by-step explanation:

[tex]-3(3+p)<-66 \\ \\ 3+p>22 \\ \\ p>19[/tex]

Answer:

The number is 5.

Step-by-step explanation:

Let x be the number.

[tex]3x - 8 = x + 2[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

The required inequality is k > -8.48. Option A is correct.

Given that,

To determine the equivalent expression to the k / -1.6 > -5.3

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,

As per the given condition, we have to simplify the given expression to get the equivalent expression,

k / -1.6 > -5.3

k > -1.6 (-5.3)

k >- 8.48.

Thus, the required inequality is k > -8.48. Option A is correct.

The equation that calculates the time taken to get to Springfield is x = 926/57

Rate is used to establish the relationship between two quantities of different units. one of the quantity is usually expressed to unity in order to estimate the change in the other quantity.

If Hillwood and Springfield are 926 mile apart, and the speed taken to get to Springfield is 57miles per hour.

Let the time taken to get to Spring field be x.

Then if 57 miles is covered in an hour and it takes x hours to get to the destination

It means total distance covered is 57 × x

This distance is equal to the distance from Hillwood to Springfield which is 926 miles.

Equating both equations.

57x = 926

In conclusion, 57x = 926 is the equation that can be used to find out the time taken.

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The elements that are neither in set A nor set B are: {10}

Answer: 10

The only quantities that will be directly proportional are; A) distance and time traveled if speed is a constant 77 mph

Direct proportionality means the change of a similar kind.

For example, as pressure increases, density also increases, which means both the parameters (pressure and density) are experiencing a similar kind of change i.e. increment in their magnitude.

Looking at the given options;

A) Distance and time traveled if speed is a constant 77 mph.

Now, formula for speed is;

Speed = Distance/Time

Thus, if speed is constant, then it means that distance varies  directly with the time because as distance increases, then time also increases.

B) We are told that the distance traveled is 110 miles.

Distance = Speed * time.

Thus, speed and time vary indirectly with the time because as one increases, the other decreases

C) Since the amount of money spent is constant, then it means that;

Amount spent = Price per item * number of items

The price per item and the number of items bought will vary indirectly

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Answer:

180

Step-by-step explanation:

120ft/30sec=4sec per ft

45-30=15

4(15)=60

120+60=180

The ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are NOT the same for the graph of  y = 3x + 4

In this question, we have been given the graphs of lines y = 3x and y = 3x + 4.

Consider the ratios of y/x for the graph y = 3x

6/2 = 3

3/1 = 3

(-6)/(-2) = 3

Consider the ratios of y/x for the graph y = 3x + 4.

7/1 = 7

(1)/(-1) = -1

(-2)/(-2) = 1

We can observe that the ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are different for the graph of  y = 3x + 4.

Therefore, the ratios of y/x are the same for the graph of y = 3x

and the ratios of y/x are NOT the same for the graph of  y = 3x + 4

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Answer:

a=(9580c-8-9h)/5d

Step-by-step explanation:

9hm+5dam+8m+3cm=9583cm

Subtract (9hm+8m+3cm) from both sides

5dam=9580mc-8m-9mh simplify

then divide both sides by 5dm

a=(9580c-8-9h)/5d

THIS QUESTION IS VERY UNCLEAR SO I JUST SOLVED FOR A

Answer:

Step-by-step explanation:

Area of the rhombus in terms of given diagonals:

Plug in the values and calculate:

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

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The composition of functions evaluated in x = 3 is equal to -8.

t(3) = -8.

Here we have the two functions g(x) and f(x), and the composition:

(g°f)(x) = t(x).

This is equal to:

t(x) = g(f(x))

Then:

t(3)  = g( f(3) )

Evaluating f(x) in 3 we get:

f(3) = 4*3-  6 = 12 - 6 = 6

Then:

t(3) = g( f(3))  =g(6)

And we know that g(6) = -8, then:

t(3) = -8.

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Point (C) C closely approximates the given mathematical operation that is the difference between B and A (B - A).

So, when we add up 2 numbers let's say A and B, the result is always a 3rd number which is C.

Similarly, when we subtract a number from another number (B - A), the result is always a third number C.

So, (C) C closely approximates the difference between B and A (B - A).

Therefore, point (C) C closely approximates the given mathematical operation that is the difference between B and A (B - A).

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Answer:

Yquandary dinglegrt

Step-by-step explanation:

go and minijrir

18) x+8 or 8+x

19) x-10

20) x+3=10

22)4>6t or 6t<4

23)4s[tex]\geq[/tex]70+5

Answer:

a) 16

Step-by-step explanation:

[tex]x^{2} =(-4)^{2} =(-4)(-4)=16[/tex]

Hope this helps

iven: ²

equired:

xplanation:

Since the graph is translated vertically downwards by 3 units, so the function f(x) is

Hence, the function is

inal Answer

Answer:

Step-by-step explanation:

the answer is 0.4465 or if needed to be rounded then 0.45

The addition of 45 + 90 using the greatest common factor is 45(1 + 2) = 135

From the information, it should be noted that Claude uses the greatest common factor and the distributive property to write the sum of 45 + 90.

It should be noted that the greatest common factor between 45 and 90 is 45.

This will be illustrated as:

45 + 90 = 45(1 + 2)

= 45 + 90

= 135

Therefore, the addition is 135.

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The graph of the linear function w(x) = 0.6x+2 has been plotted

The given linear function is

w(x) = 0.6x+2

The domain is the set of all possible inputs of the functions.

The range is the set of  all possible outputs of the functions

Here we will substitute some values of x that is the domain of the function and the result will be the range of the function

w(-3) = 0.6×-3+2

= 0.2

w(-2) = 0.6×-2+2

= 0.8

w(-1) = 0.6×-1+2

= 1.4

w(0)  = 0.6×0+2

= 2

w(1) = 0.6×1+2

= 2.6

w(2) = 0.6×2+2

= 3.2

w(3) = 0.6×3+2

= 3.8

Plot the graph using the domain and range

Hence, the graph of the linear function w(x) = 0.6x+2 has been plotted

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The insurance company will pay $10000 while Roger's share will be $4800 and therefore he must pay $4,800 in the insurance claim.

From the information, Roger Laut, who lives in Territory 5, carries 10/20/5 compulsory liability insurance along with optional collision that has a $1,000 deductible.

An insurance claim is a formal request for payment for losses protected by your insurance policy. A contract between you and your insurer is known as an insurance policy. You must pay a predetermined premium. With a $5,000 maximum limit on property damage, the insurance provider will pay losses up to $10,000 for one injured or killed person and up to $20,000 for several persons. This slab is for any accident.

Roger's share will be $4800 because the cost of repairing the other car is only expected to be around $4800. He's got $4,800 to pay.

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Answer:

b

Step-by-step explanation:

x + 5y = 4x - 3y ( subtract 4x from both sides )

- 3x + 5y = - 3y ( subtract 5y from both sides )

- 3x = - 8y ( multiply both sides by - 1 )

3x = 8y → b

The sample proportion saying that the food is delicious will be approximately normal.

In this question, we have been given that 87% of the people who sampled their food said that it was delicious

so, the Population proportion = 87%

A random sample of 144 people is obtained from a population of 5,000. The 144 people are asked to sample the caterer's food.

The sample size of 144 from 5000 will have proportion p cap which will follow a normal distribution with mean= p = 87%

and variance = npq

Since the mean of the sampling distribution of p hat, mean is 0.87 the sample proportion saying that the food is delicious will be approximately normal.

Therefore, the sample proportion saying that the food is delicious will be approximately normal.

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Given the sample table below:

Total number of teenagers that get less than 8 hours of sleep each school night

Sample #1:

The number of teenagers that get less than 8 hours of sleep each night include the sum of teenagers that get less than 4 hours, teenagers that get between 4 and 6 hours, teenagers that get between 6 and 8 hours.

Thus, we have

Sample #2:

Thus, we have

Percentage of teenagers that get between 4 and 10 hours of sleep each school night

ample #1:

The total number of teenagers that get between 4 and 10 hours of sleep is evaluated to be

Thus, the percentage becomes

Sample #2:

Hence, based on the result of the survey,

About half of the teenagers get less than 8 hours of sleep each school night,

More than 90% of teenagers get between 4 and 10 hours of sleep each school night.

Answer:

1062 would be 1000 because if you are rounding anything less than 5 is 0 and everything behind it is 0

The zeroes of the function k(x)=15x³-48x²-48x are 0, 4 and -4/5.

The function provided is a cubic polynomial.

There will be three zeroes in total for the function k(x).

K(x) = 15x³-48x²-48x

If we put x = 0,

We can see that k(x) becomes zero,

So we can say that 0 is a solutions for this function,

Now,

K(x) = x(15x²-48x-48)

Solving 15x²-48x-48 seperately using quadratic formula,

a = 15

b = -48

c = -48

x = (-b+√D)/D and (-b-√D)/D

D = b²-4ac.

D = (-48)²-4(15)(-48)

D= 5184.

√D = 72

putting all the values to find x,

x = (-(-48)+72)/30 and (-(-48)+72)/30

x = 4 and -4/5.

our function becomes,

k(x) = x(x-4)(x+4/5)

so the zeroes are 0, 4, -4/5.

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Answer:

ABM is 60; DBC is 60; CBM is 120; HGF is 120; EFM is 120

Step-by-step explanation: