Please help with this question

Answer:

x = ±8

Step-by-step explanation:

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation:

The graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity. Then the correct option is A.

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

Graph the given function.

f(x) = (7)ˣ

The graph of the function is given below.

From the graph, the graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity.

Then the correct option is A.

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Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Answer:

12 only

Step-by-step explanation:

It means x is zero, and the only point on x=0 is 12 :)

According to the graph the function  f(0) is  12 only .

The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.

According to the question

The graph shows the function in which

f(0) is

i.e

x = 0  or y intercept

Now, according to the graph

at x = 0 , y = 12

Or

f(0) = 12

Hence, The function  f(0) is  12 only .

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Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

An equation of the line in the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope of the given line, let's isolate y and find m, according to the steps below.

Step 01: Add 5x to both sides of the equation.

Step 02: Divide both sides by 8.

Step 03: Compare the equation with the general equation.

So, the slope m is 5/8.

Answer: The slope is 5/8.

Answer:

-12

Step-by-step explanation:

-10 + (-2)

-10 - 2

Answer: -12

Answer:

-12is the answer,hope it will help you.

\(=-10+(-2)\\=-10-2\\=-12\)

The total number of possible outcomes is 2 x 2 x 4 = 16 it is determined using multiplication principle.

The multiplication principle, often known as the product rule, is a key idea in probability theory that allows us to calculate the total number of potential outcomes for a set of activities or events that occur in sequence. It asserts that if there are n ways to execute one activity and m ways to perform another task, therefore there are n x m ways to perform both activities combined. The multiplication principle is useful when determining the probability of complex events that involve numerous independent steps or stages. By multiplying the probabilities of every individual step together, we can find the overarching probability of the entire event occurring.

Using the multiplication principle we have:

The total number of possible outcomes is 2 x 2 x 4 = 16.

Hence, the total number of possible outcomes is 2 x 2 x 4 = 16.

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Answer:

3 to 8 = 6 to 16 = 30 to 80

Step-by-step explanation:

Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.

3 to 8

Multiply both 3 and 8 by 2:

6 to 16

Multiply both 3 and 8 by 10:

30 to 80

3 to 8 = 6 to 16 = 30 to 80

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

Answer:

1.8333

Step-by-step explanation:

F = 1.8C +32

C = (F - 32) ÷ 1.8

= (65-32) ÷ 1.8

=1.833

Just throw all the other things to the right, so that only C is on the left

Step-by-step explanation:

the process is shown in the picture.

hope that helps

Answer:

2 1/4

Step-by-step answer

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

I think the Answer is All are directly above the origin.

Step-by-step explanation:

We have

First we have to solve the operations inside the parentheses

then we solve the multiplication

we need to have the same denominator in order to sum fractions

the expression simplified is 10/27

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

Answer:

There is a total of 180 employees.

Step-by-step explanation:

men : women

  7    :       5

5 units = 75

   1 unit = 15

12 units = 180

Answer:

negative solution : -3

positive solution : | 3 |

(| x | means absolute value)

I hope this helped :)

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

Step-by-step explanation:

Answer:

A) 0.01

B) 0.07

Step-by-step explanation:

We are given;

P(accidents last year) = 0% = 0

P(accidents this year) = 6% = 0.06

P(accidents last year | accidents this year) = 10% = 0.1

A) We want to find the percentage of the employees will experience lost-time accidents in both years.

From multiplication rule in probability, we know that;

P(A & B) = P(A) × P(B|A) = P(B) × P(A|B)

Thus;

P(accident in both years) = P(accidents this year) × P(accidents last year | accidents this year)

P(accident in both years) = 0.06 × 0.1

P(accident in both years) = 0.006

To 2 decimal places gives; 0.01

B) from the addition rule, we know that;

P(A or B) = P(A) + P(B) - P(A & B)

Thus;

P(accident last year or this year) = P(accidents last year) + P(accidents this year) - P(accident in both years)

P(accident last year or this year) = 0 + 0.06 + 0.006 = 0.066

To 2 decimal places = 0.07

So the probability of a random person having no credit cards is 1/3, or approximately 0.3333.

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one.

The likelihood that a person chosen at random did not have any credit cards is the ratio of those who did not have any credit cards to the total number of people:

P(No credit cards)  = (Number of persons without credit cards) /(Total number of people)

According to the table, the number of people who did not have credit cards is the sum of the values in the "Zero" column, which is 27. The sum of all the values in the table, which is 81, is the total number of persons. Therefore:

P(Credit Cards Not Accepted) = 27/81

simplified term:

P(Without credit cards) = 1/3

So the probability of a random person having no credit cards is 1/3, or approximately 0.3333.

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Complete question:

In the image form.