Select all value of c for which f(x) = g(x)Please look gráficos.

We can determine the slope using the following expression:

Now, using the two points given, we have:

From this, we have that the slope(m) equals -1/5.

The linear inequalities in this problem are given as follows:

A linear function, in slope-intercept format, is modeled according to the rule presented as follows:

y = mx + b

In which the parameters of the function are described as follows:

For cost/monetary functions, the slope and the intercept are given as follows:

Then the inequalities are given as follows:

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One of the forms we can write the equation of a line is like this:

y - y1 = m(x - x1)

Where (x1, y1) is a point where the line passes through, and the value of m, the slope of a line is given by the following formula:

Then, for the first line (line q), we can take the points (-9, 0) and (-3, 18), then we get:

By replacing the value of the slope and the coordinates of the point (-9, 0), we get:

y - 0 = 3(x - (-9))

y = 3(x + 9)

y = 3x + 27

y - y = 3x + 27 - y

0 = 3x + 27 - y

-27 = 3x + 27 - 27 - y

-27 = 3x - y

For line v, we can take the points (-4, 10) and (0, 8), then we get:

By taking -1/2 for the slope and the coordinates of the point (0,8), we gat:

y - 0 = -1/2(x - 8)

y = -1/2x + 4, multiplying both sides by 2:

2y = -x + 16

2y + x = -x + x + 16

2y + x = 16

Then, the system represented by the lines q and v is option G

Answer:

a) Telephone; 2 repairs

b) 3 more repairs

c) computer, radio , and television = 3 types

Explanation:

From the bar graph we see that the least amount of repairs done to the telephones. How many r

As per given by the question,

There are given that two traingle, figure A and figure B.

Now,

The ratio of a dimension on figure B to the corresponding dimension on figure A is,

So,

The scale factor is,

The scale factor of figure B on the figure A is 2.5.

Hence, the option B is correct.

EXPLANATION:

Given;

We are given two points which are shown below;

Required;

We are required to calculate the slope.

Step-by-step solution;

To calculate the slope given two points, we shall use the following formula;

Where the variables are;

We can now substitute these values and solve;

Therefore.

ANSWER:

The cost of a membership for 1 year is 490

The equation of the membership is given as

c(m) = 40m + 10

From the question, we understand that:

m represents the number of months

For the cost of a membership for 1 year, the number of months is 12

i.e. m = 12

Substitute the known values in the above equation

So, we have

c(12) = 40 * 12 + 10

Evaluate

c(12) = 490

Hence, the cost is 490

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Relation 1: Yes, each input corresponds to only one output.

Relation 2: No, the input of -1 corresponds to two outputs: sun and moon.

Relation 3: Yes, each input corresponds to only one output.

Relation 4: Yes, each input corresponds to only one output.

Answer:

A. a chorus

Step-by-step explanation:

Answer:$15.47 per person

Step-by-step explanation:

The total cost of the bill, divided into 6 groups:

92.82/6=15.47

Answer:

slope = 5/4

Step-by-step explanation:

What is the slope of a line that passes the points (-1,4 ) and ( 3,9 ) ?

slope = change in y ÷ change in x

slope = (9-4) ÷ (3 - (-1))

slope = 5/4

1 nickel is worth 5 cents and 1 quarter is worth 25 cents.

So, if he has 4 nickels, this is worth 4 times 5 cents and if he has 11 quarters, this is worth 11 times 25 cents.

Both are worth the sum of these, so:

So, he has 295 cents.

If he has n nickels and q quarters, he has 5 times n plus 25 times q worth, so he has:

Given data:

The given expression for the points is,

Thus, the expression or

Answer:

whats the problme?

Step-by-step explanation:

Since the triangle is equilateral, all of its interior angles have a measure of 60º.

Substract the area of the triangle from the area of a circular sector with radius 7cm enclosed by an angle of 60º to find the area of the shaded region.

The area of an equilateral triangle with side length L is:

The area of a circular sector of radius r enclosed by an angle of θ degrees is:

Replace θ=60 and r=7cm to find the area of the circular sector:

Replace L=7cm to find the area of the triangle:

Then, the area of the shaded region is:

Therefore, the area of the shaded region to 3 significant figures, is:

Answer: -5+6i

Step-by-step explanation:

Given:

a.) A truck travels due west at an average speed of 48 miles per hour.

b.) The other truck travels due east at an average speed of 45 miles per hour.

Let's determine how many hours will the two trucks be 558 miles apart.

We will be using the following equation:

Let the two trucks be named Truck A and Truck B.

Let x = the time the two trucks will be 558 miles apart

We get,

Let's find x,

Therefore, the two trucks will be 558 miles apart after 6 hours.

Answer:

the slope is -5/3

Step-by-step explanation:

it is that because to find slope u do y2-y1/x2-x1

5 [ 83- (8-1)²]

we will first work on the inner parenthesis

5 [ 83 - (7)²]

5[ 83 - 49]

5[34]

=170

 Hay 3 veces 13 en 47.

La respuesta la divides 47 por 13 lo que te daría 3.6153846153846.

Answer:

I don't really understand this but I think will be a great way to solve this so 123.00

Step-by-step explanation:

.

Answer:

Qualitative data is the data that is not represented by numbers, for example, favorite food or country.

On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous. The discrete data is the data that only can take specific values, for example, the number of people is always a whole number, there can't be 5.5 people. The continuous data is the data that can take decimal values, for example, the mass of an object can be 4.06 kg.

Solution

Part a

Part b

For this case we can do this:

Fx= 585 N* cos 80= 101.58 N

Fy= 585N * sin 80= 576.11 N

Then the best answer is:

B. (102, 576) N

Answer:

Explanation:

Given:

To fully understand how we get the given answer, we simplify the equation first:

Next, we apply the rule:

So,

Then, we also apply the radical rule:

For

Therefore the x-values are: x=4i, x=-4i. The i on the answer means imaginary number. It is a number that, when squared, has a negative result.

Answer:

D.  x = 6

Step-by-step explanation:

Given equation:

[tex](x-2)^{\frac{1}{2}}+4=x[/tex]

Subtract 4 from both sides:

[tex]\implies (x-2)^{\frac{1}{2}}+4-4=x-4[/tex]

[tex]\implies (x-2)^{\frac{1}{2}}=x-4[/tex]

Square both sides:

[tex]\implies \left( (x-2)^{\frac{1}{2}}\right)^2=(x-4)^2[/tex]

[tex]\implies x-2=(x-4)^2[/tex]

Expand the brackets on the right side:

[tex]\implies x-2=(x-4)(x-4)[/tex]

[tex]\implies x-2=x^2-8x+16[/tex]

Subtract x from both sides:

[tex]\implies x-2-x=x^2-8x+16-x[/tex]

[tex]\implies -2=x^2-9x+16[/tex]

Add 2 to both sides:

[tex]\implies -2+2=x^2-9x+16+2[/tex]

[tex]\implies 0=x^2-9x+18[/tex]

[tex]\implies x^2-9x+18=0[/tex]

Factor the left side of the equation:

[tex]\implies x^2-6x-3x+18=0[/tex]

[tex]\implies x(x-6)-3(x-6)=0[/tex]

[tex]\implies (x-3)(x-6)=0[/tex]

Apply the zero-product property:

[tex]\implies x-3=0 \implies x=3[/tex]

[tex]\implies x-6=0\implies x=6[/tex]

Therefore, the solutions of the quadratic equation are:

[tex]x=3, \quad x=6[/tex]

Input both solutions into the original equation to check their validity:

[tex]\begin{aligned}x=3 \implies (3-2)^{\frac{1}{2}}+4&=3\\(1)^{\frac{1}{2}}+4&=3\\1+4&=3\\5&=3\end{aligned}[/tex]

[tex]\begin{aligned}x=6 \implies (6-2)^{\frac{1}{2}}+4&=6\\(4)^{\frac{1}{2}}+4&=6\\2+4&=6\\6&=6\end{aligned}[/tex]

Therefore, the only valid solution to the given equation is x = 6.

Answer:

The answer is D. 6

Step-by-step explanation:

Add both sides:

(x - 2)^1/2 + 4 + (-4) = x + (-4)

(x - 2)^1/2 = -4

Solve exponent:

(x - 2)^1/2 = x - 4

((x - 2)^1/2)^2 = (x - 4)^2

x − 2 = x^2 − 8x + 16

x − 2 − (x^2 − 8x + 16) = x^2 − 8x + 16 − (x^2 − 8x + 16)

−x^2 + 9x − 18 = 0

(−x + 3)(x − 6) = 0

−x + 3 = 0 or x − 6 = 0

x = 3 or x = 6

Check the answers: (Plug them in to see what will work.)

x = 3 (won't work)

x = 6 (does work)

Therefore,

x = 6

Divide 31 into 32 and then multiply the result by 100 to get the percent:

We have a fifth degree polynomial:

This polinomial has 3 real roots, that can be expressed as: log2(a), log2(b) and log2(c).

Also, it has two imaginary roots, one of which is di (they have to be conjugate, so the other imginary root is -di).

We have to show that abc = 8.

If we consider the information given, we have some information about all the roots.

We can rewrite the polynomial in factorized form as:

As the polynomial is defined for real numbers, we can write a polynomial with only the real roots as:

Then, we can relate the roots as:

First, apply distributive property to solve the parenthesis:

Combine like terms:

Divide both sides by 8:

2.

3.