Find the value of x so that the function has the given value.

m(x) = 4x + 15; m(x) = 7
x = ___

Can you also explain how you solved it please. I might have some other problems using the same format. Thank you!

By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.

For a relation y = f(x), we define the range as the possible values of y.

In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.

Then y can take all the values between 0 and 7.66, meaning that the range is:

R : [0, 7.66]

Then the correct option is the last one.

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Answer:

y=5h-6

Step-by-step explanation:

-6 represents the loss of 6 dollars to her mom

5h shows the rate at which she is gaining money

y is the final product

Answer:

x-intercepts: -72 and 133

y-intercept: -19152

Step-by-step explanation:

You can solve for x-intercepts by...

\(y = (2x + 144)(x - 133)\)

2x+144=0

-144 -144

2x=-144

2 2

x=-72

x-133=0

+133 +133

x=133

to find y intercept you plug in 0 for x...

y=(2(0)+144)(0-133)

y=(0+144)(-133)

y=(144)(-133)

y=-19152

The expanded form of (5x-2y^3)^2 is 25x^2 - 20xy^3 + 4y^6. Option C

These are expressions that are known to consist of terms, variables, factors, constants and coefficients.

They are also known to be made up of arithmetic operations, such as;

From the information given, we have;

(5x-2y^3)^2

write fully

(5x - 2y³) (5x  - 2y³)

expand the bracket

25x² - 10xy³ - 10xy³ + 4y⁶

collect like terms

25x² - 20xy³ + 4y⁶

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Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 6 by 5 and keep only what is to the left of the decimal point:

6 / 5 = 1.2000 = 1

Step 2 - Find New Numerator

the answer from Step 1 by the denominator and deduct that from the original numerator.

6 - (5 x 1) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 6/5 as a mixed number is:

1 1/5

Step-by-step explanation:

Using the concepts of standard normal distribution,43 people height is in between 160 and 180 and 31 people height is taller than 165cm

The standard normal distribution is actually  of the forms of the normal distribution. It occurs when  normal random variable has a mean equal to zero and a standard deviation equal to one. Or a normal distribution with a mean 0 and standard deviation of 1 is known as the standard normal distribution. Also, the standard normal distribution is concentrated at zero, and the standard deviation gives the degree to which a given measurement deviates from the mean.

Now, we find the Z score of the given heights range

We know that Z score is given by formula

Z=(\(\frac{X-\alpha }{\beta }\))

where X is normal random variable,\(\alpha\) is mean of given sample and \(\beta\) is standard deviation of given sample.

Therefore, Z score is

z(160) = (170-160)/5 = 2

z(180) = (180-170)/5 = 2

P(160<= x <=180) = P(2<= z <=2) = 0.4772(from standard distribution table)

Therefore for 90 people=90×0.4772= 43 people after rounded up.

b) Similarly, we need to find Z value for people height greater than 165 cm.

Therefore, by using the above formula, we get

z(165) = (170-165)/5 = 1

P(x > 165) = P(z > 1) = 0.3438(from standard distribution table)

Therefore, for 90 people=0.3438×90=31 after rounded up

Hence, number of people whose height is in between 160 and 180cm is 43 and number of people whose height greater than 165cm is 31

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Answer:

it would be A

Step-by-step explanation:

you have to find angle C first so you would subtract 105 from 180 to get 75 and then to find angle B you would add 75 and 55 to get 130 and since its a triangle it always has 180 degrees so do 180 - 130 to get 50

Answer:

Option B : 1/2 is the correct answer.

Step-by-step explanation:

Given ordered pairs are;

(3, 6) and (5, 7).

We have to find the rate of change which is also known as slope.

Slope is the steepness of a line.

The formula of slope is given by;

m = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{7-6}{5-3}\)

m = \(\frac{1}{2}\)

Hence,

Option B : 1/2 is the correct answer.

Answer: y = (3/2)x - 7

Step-by-step explanation:To find the equation of a line perpendicular to another line, we need to know that the slopes of two perpendicular lines are negative reciprocals of each other. Therefore, the slope of the line we're looking for will be the negative reciprocal of -2/3, which is 3/2.

Now we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that the line we're looking for goes through the point (6,2), so x1 = 6 and y1 = 2. We also know that the slope is 3/2. Substituting these values into the point-slope form, we get:

y - 2 = (3/2)(x - 6)

Simplifying and putting the equation into slope-intercept form, we get:

y = (3/2)x - 7

So the equation of the line perpendicular to y = -2/3x -1 that goes through the point (6,2) is y = (3/2)x - 7.

On solving the provided query we have Therefore, assuming that order equation counts, there are 20,736 different ways to arrange 12 different books on four shelves.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the permutation formula with repetition, we can determine how many different ways there are to arrange 12 books on 4 shelves.

\(n^r\)

where r is the number of empty spaces to be filled (in this example, 4 shelves) and n is the number of options to select from (12 distinct books in this case).

\(12^4 = 20,736\)

Therefore, assuming that order counts, there are 20,736 different ways to arrange 12 different books on four shelves.

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The correct option to calculate the total amount payable to suppliers whose materials meet the specifications is: SUMIF(B2:87, "Yes", C2:C7)

The function SUMIF is one that calculates the sum of the values within a certain range (C2:C7) provided that a certain condition is met (B2:B7 reads as "Yes").

By using the SUMIF function and setting specific ranges and criteria, the formula will add up the values within the C2:C7 range exclusively for suppliers whose materials align with the set specifications (which are marked as "Yes" in corresponding cells within B2:B7).

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Given differential equation is \(dy/dx = (y-1)/((x^2)(4+x^2)^.5)\). So, to solve the differential equation we need to separate variables.

Let's solve it by using the below steps:

Separating variables:\(dy/(y-1) = ((x^2)(4+x^2)^.5)/dx\)

Integrating both sides:

\(\int\ dy/(y-1) = \int\  ((x^2)(4+x^2)^.5)/dx\)

\(ln|y-1| = (1/2) \int\ (4+x^2)^.5 d(x^2)\)

\(ln|y-1| = (1/2)(1/2)(4+x^2)^.5+ c\)

Here, c is the constant of integration.

Now, raising e to both sides we get:

\(|y-1| = e^(1/2(4+x^2)^.5+c)\\y-1 = ±e^(1/2(4+x^2)^.5+c) \\y = 1 ± e^(1/2(4+x^2)^.5+c)\)

Thus, the solutions to the given differential equation are:y = \(1 ± e^(1/2(4+x^2)^.5+c)\)

The given differential equation is \(dy/dx = (y-1)/((x^2)(4+x^2)^.5)\). We solved the differential equation by separating the variables and integrating both sides. We got the solution for y as y = \(1 ± e^(1/2(4+x^2)^.5+c)\).

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Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

Answer:

4.21x+2.72

Step-by-step explanation:

(-1.41x - 0.01) + (5.62x + 2.73)

Combine like terms

-1.41x+5.62x     -0.01+2.73

4.21x+2.72

Answer:

4.21x + 2.72

Step by step explanation:

( - 1.41x - 0.01 ) + ( 5.62x + 2.73 )

First solve the brackets.

- 1.41x - 0.01 + 5.62x + 2.73

Combine like terms.

-1.41x + 5.62x - 0.01 + 2.73

4.21x + 2.72

Answer:

10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!

Answer:

10cm

Step-by-step explanation:

\(Hypotenuse^{2}\) = \(base^{2} + altitude^{2}\)

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

\(Hypotenuse^{2}\)  = \(8^{2} + 6^{2}\)

\(Hypotenuse^{2}\) = 64 + 36

\(Hypotenuse^{2}\)  = 100

Hypotenuse = \(\sqrt{100}\)

Hypotenuse equals 10cm!

Answer:

w=17.613

l=15.613

Step-by-step explanation:

w×l=area

l=w-2

therefore w×(w-2)=575

rearrange the equation to make a quadratic

(w^2)-2w-575=0

w=-(b+ or - sqrt (b^2-4ac))/2a

a=1

b=-2

c=-575

using quadraric formula to solve

w=17.613 or -15.613

cant be -15.613

l=w-2

=15.613

Answer:

Domain: ​(−∞, 0) ∪ (0, ∞)​; Range: (−∞, 0) ∪ (0, ∞)

Step-by-step explanation:

See attachment.

We want to find the domain and range of the function \(f(x)=\frac{3}{5} x^5\).

The domain is the set of all possible x-values that are included in the function, while the range is the set of all possible y-values that are included in the function.

Look at the graph.

We can see that the x-values can go into infinity except when approaching the line x = 0. Here, the function will never touch x = 0 because that would make the graph undefined. So, we can say that the domain is all real numbers except for x = 0, or ​(−∞, 0) ∪ (0, ∞).

It's the same thing with the y-values. Although it looks like the line is touching the y-axis, or the line y = 0, the graph actually is not - it's just going really close to it. So, the range is again ​(−∞, 0) ∪ (0, ∞).

Thus, the answer is D.

Answer:

Last one

Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Step-by-step explanation:

f(x) = 3/(5x⁵)

Since x is in the denominator, x can not be 0

Domain: all real values of x except 0

For y = 0, x has to be infinite therefore y can not be 0

Range: all real values except 0

To calculate the perimeter and volume of the small rectangular mirror, we'll use the given dimensions in inches and convert the final answer to centimeters.

First, let's calculate the perimeter of the front of the mirror:

Perimeter = 2 * (length + width)

Perimeter = 2 * (2.2325 in + 1.116 in)

Perimeter = 2 * 3.3485 in

Perimeter = 6.697 in

Now, let's convert the perimeter from inches to centimeters:

Perimeter_cm = Perimeter * 2.54 cm/in

Perimeter_cm = 6.697 in * 2.54 cm/in

Perimeter_cm = 17.00138 cm (rounded to 5 significant figures)

Next, let's calculate the volume of the mirror:

Volume = length * width * thickness

Volume = 2.2325 in * 1.116 in * 0.041 in

Volume = 0.10137243 in^3

Now, let's convert the volume from cubic inches to cubic centimeters:

Volume_cm = Volume * (2.54 cm/in)^3

Volume_cm = 0.10137243 in^3 * (2.54 cm/in)^3

Volume_cm = 1.66487136112 cm^3 (rounded to 6 significant figures)

Therefore, the perimeter of the front of the mirror is approximately 17.001 cm and the volume of the mirror is approximately 1.66487 cm^3.

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Answer:

46 + W = 231

Step-by-step explanation:

Answer:

My guess: 231 = 46 + b

Step-by-step explanation: Because they didn't mention how many were colored brown, we would use a variable to represent them, in this case I use b. But we do know 46 of them were white. so the equation would simply be 231 = 46 + b. After you add 46 and b you will get the total to 231. You can find b from subtracting 231 to 46. Then add b to 46 and get the total of 231

Answer:

do you solve for y or x or anything on these if so, i can do them. i just need them in chat

Step-by-step explanation:

Hi!

We can see the river is a straight line.

This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.

Therefore:

\(x+2x+21=180\)

Combine like terms:

\(3x+21=180\)

Subtract 21 from both sides:

\(3x=159\)

Divide both sides by 3:

\(x=53\)

Therefore, the value of x is 53 degrees.

Answer:

2x-1=x+7

-x     -x

2x-1=7

+1      +1

2x=7

/2    /2

x=3.5

Step-by-step explanation:

102,566,767, 1,9044828e-10, and 297,060 are the answers to the questions.

The questions above use addition and multiplication to solve the problem.

101,455,348 + 1,111,419 = 102,566,767

0.000000612 x 0.00031119 = 1,9044828e-10

297,060 + 0.0004839 = 297,060

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Therefore , the solution of the given problem of slope comes out to be I has a slope of 2, the line through the points (6,-5) and (-7,2) is therefore perpendicular to line I.

A sharp line is determined by its slope. Equations that depend on gradients are susceptible to the phenomenon known as gradient overflow. One can determine the slope by dividing their total run (width differentiation) and visits (increasing distinction) among the two locations. The fixed path problem is modelled by the equation y = mx + b who takes the slope variance into account. when all values.

Here,

Each of the given lines' slopes can be determined using the formulas below:

Slope for OA is equal to (4 - (-3))/(7 - 12) = 7/-19.

Slope is equal to (6 - (-7))/(2 - (-5)) = 13/7.

OD: slope = (6-(-7))/(2-(-8)) = 13/5 OC: slope = (2-(-5))/(6-(-7)) = 7/13

We can now determine which pair of slopes the equation m1 x m2 = -1 applies to. Line I, for instance, yields the following equation if its slope is 2:

=> (7/19) x 2 ≠ -1 (not perpendicular)

=> (13/7) x 2 ≠ -1 (not perpendicular)

=> (7/13) x 2 = -1 (perpendicular)

=> (13/5) x 2 ≠ -1 (not perpendicular)

Given that line I has a slope of 2, the line through the points (6,-5) and (-7,2) is therefore perpendicular to line I.

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Answer:

3. Acute and scalene

5. Acute isosceles

Explanation:

Those are the two answers that had mistakes

Using the slope of the linear relationship, after two weeks or in the week 4, the amount of money that Mackenzie owed her friend would be $100.

The slope refers to the constant rate of change of y with respect to the change of x.

This means that the slope shows how much y increases as x increases or vice versa.

In this linear relationship, y is the dependent variable while x is the independent variable.

The formula for computing the slope is as follows:

Slope = Rise/Run

Let the amount Mackenzie owes her friend after t weeks = L

The weeks the friend is owed = t

t       L

2    140

5     80

7     40

= (140 - 80)/(5 - 2)

= 60/3

= 20

L = 140 - 20t

100 = 140 - 20t

20t = 40

t = 2

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The solution to the system of equations is (4, 3). This means that when x = 4 and y = 3, both equations are true.

What is the system of equations?

A system of equations is a set of two or more equations that are solved simultaneously for their unknown variables. The goal of solving a system of equations is to find the values of the unknown variables that make all the equations in the system true at the same time. A solution to a system of equations is an ordered pair of values that satisfies all the equations in the system.

To solve a system of equations, we need to find the values of x and y that make both equations true at the same time.

The first equation is: y = -1/4(3x - 36)

The second equation is: y = -1/2x + 8

To find the solution, we can set the two equations equal to each other and solve for x:

-1/4(3x - 36) = -1/2x + 8

Expanding the first equation:

-3/4x + 9 = -1/2x + 8

Adding 1/2x to both sides:

-1/4x + 9 = 8

Subtracting 9 from both sides:

-1/4x = -1

Multiplying both sides by -4:

x = 4

Now that we know x = 4, we can substitute it into either equation to find y:

y = -1/4(3x - 36)

y = -1/4(3 * 4 - 36)

y = -1/4(-12)

y = 3

Hence, The solution to the system of equations is (4, 3). This means that when x = 4 and y = 3, both equations are true.

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Answer:

x < 12/7

Step-by-step explanation: