the table below shows the percentage of votes each sport received in a recent survey of student's favorite sports. will send image

5 [ 83- (8-1)²]

we will first work on the inner parenthesis

5 [ 83 - (7)²]

5[ 83 - 49]

5[34]

=170

The cost, if the number of guests is 50, will be $22500.

So, the relationship between the dollar cost of the dinner, C, and the number of guests, g, is represented by the equation C = 410 + 22g.

When we have 50 guests at the banquet the cost would be:

Hence, the cost, if the number of guests is 50, will be $22500.

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First, apply distributive property to solve the parenthesis:

Combine like terms:

Divide both sides by 8:

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:

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

Answer:

whats the problme?

Step-by-step explanation:

Answer:

m∠1 = 80°

m∠2 = 80°

m∠3 = 100°

Step-by-step explanation:

Same-side Exterior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Therefore:

⇒ m∠1  + 100° = 180°

⇒ m∠1  + 100° - 100° = 180° - 100°

⇒ m∠1  = 80°

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Therefore:

⇒ m∠2 = m∠1 = 80°

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

⇒ m∠3 = 100°

Answer: -5+6i

Step-by-step explanation:

 Hay 3 veces 13 en 47.

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

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:

Given:

Point R: (5, 1)

Midpoint M: (1, 4)

Since it's been mentioned that point M is a midpoint. Finding S, the graph should look like this:

Let's determine the translation from point M to R, because the opposite of it will be the translation to get point S.

From Point M to R:

Therefore, getting to the endpoint S, it will have 4 units to the left and 3 units upward.

We get,

Therefore, the missing endpoint is: -3, 7

Answer:

4590

Step-by-step explanation:

less the 5 round down

Answer:

4590

Step-by-step explanation:

When rounding to the nearest ten we use these following rules.

We round the number up to the nearest ten if the last digit in the number is 5,6,7,8 or 9.

We round the number down to the nearest ten if the last digit in the number is 1,2,3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

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:

  (d)  The triangles are similar, because each has angles that measure 36°, 62°, and 82°.

Step-by-step explanation:

Given triangle A has angles 36° and 82°, and a figure showing angles related to triangle B, you want to know if the triangles are similar.

The triangles will be similar if the angles of one are congruent to the angles of the other. Between the two triangles, we are given 3 different angle values, so we need to find at least two additional angle values in order to determine if the triangles are similar.

The sum of angles in a triangle is 180°, so the third angle of triangle A will be ...

  angle = 180° -36° -82° = 62°

The exterior angle of triangle B, given as 144°, is the sum of the remote interior angles:

  144° = 62° +angle

  82° = angle

Now, we have the angles of triangle A as 36°, 62°, and 82°. Two of the angles of triangle B are known to be 62° and 82°, matching those of triangle A.

The triangles are similar, because each has angles that measure 36°, 62°, and 82°.

The set of values for y={-3, 0, 5} for given values of x={0, 3, 8} and the equation is 3x-3y=9 and the domain D={0≤x≤8}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

The given equation,

3x-3y=9

When x=0, 3*0-3y=9

-3y=9

y=-3

When x=3, 3*3-3y=9

-3y=0

y=0

When x=8, 3*8-3y=9

3y=15

y=5

The set of values for the equation 3x-3y=9 and the domain D=0≤x≤8 is given as x={0, 3, 8} and y={-3, 0, 5}.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

STEP 2: Determine the x-intercept for the given function.

To determine the x intercept, we set y equals zero and solve for x. Therefore, we have:

STEP 3: Get the y-intercept

We can get the y-intercept by setting x towards zero and solve for y

STEP 4: Plot the graph of the given function

40º

7) In this problem, we can see that both tangent lines to that circle come from the same point O.

So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO

Answer:

the slope is -5/3

Step-by-step explanation:

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

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:

.

SOLUTION

3To calculate the test statistics, we use the following steps:

Step 1: We write out the parameters

Step 2: Write out the formula for the test statistics (t)

step 3: Find t

Hence, the test statistic is approximately 0.98 to two decimal places.

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.

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

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

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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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.

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:

1/2

Step-by-step explanation:

There are 4 possibilities:

First ball Second ball

1. Black Pink

2. Black Black

3. Pink Pink

4. Pink Black

The first and the forth options are the the probabilities that there is picked one ball for each color. (2 possibilities )

The second and the third options are the probabilities that there ate picked 2 balls of same colour.

(2 possibilities)

There are 4 possibilities in total. So the probability is 2/4=1/2

A

I got it right on the test and i got the answer on another app