Consider the graph of f(x)=1/x. Which functions result in a vertical compression? Check all that apply.
a. g(x)=1/3x
b. g(x)=3/x
c. g(x)= - 3/x
d. g(x)= - 1/3x

divide 630 by 18

630/18 = 35

so unit rate would be 35 meters per second

To convert the slope-intercept form equation y = -3/8x - 7 into standard form, mulitply by 8 to remove the fraction, then rearrange to form 3x + 8y = -56, making sure the 'A' coefficient is positive.

The student's question asks about rewriting the slope-intercept form equation y = -3/8x - 7 into standard form. To do so, we need to rearrange the equation so that all variables and constants are on one side and the equation is set equal to zero. In standard form, the equation should be written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Let's convert the given equation to standard form step by step:

Multiply both sides of the equation by 8 to clear the fraction: 8y = -3x - 56.

There are 1,984 students in total at Palmer Elementary School and Palmer Middle School combined, showing an example of increasing school enrollments. This is calculated by simply adding the number of students from both schools.

Calculating the Total Number of Students

To find out how many students are in all at both Palmer Elementary School and Palmer Middle School, we add the number of students at each school together. Palmer Elementary School has 691 students, and Palmer Middle School has 1,293 students.

To determine the total, we perform the following addition:

Therefore, there are approximately 1,984 students in total at both schools combined. This calculation helps us understand the scale of student populations within a small section of the education system, reflecting broader national trends where school enrollments are increasing.

Answer:

36 twelfths.

Step-by-step explanation:

We are asked to find number of twelfths are in 3.

We can write 3 as a fraction as:

[tex]\frac{3}{1}[/tex]

To convert our given number to twelfths, we will multiply numerator and denominator of our fraction by 12 as:

[tex]\frac{3}{1}\times \frac{12}{12}[/tex]

[tex]\frac{3\times 12}{1\times12}[/tex]

[tex]\frac{36}{12}[/tex]

Therefore, there are 36 twelfths in 3.

The tax on $95 will be equal to $8.08 at the rate of 8.5%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the tax rate is 8.5% the tax on $95 will be calculated as,

Sales tax = 8.5% of 95

Sales tax = 0.085 x 95

Sales tax = $8.08

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ3

Answer:

D.The vertex form is f(x) = −(x +3)^2 + 4. The standard form is f(x) = −x2−6x−5.  

Step-by-step explanation:

usatestprep

The probability of a 1, 2, or 3 is 3/6 = 1/2. There are C(11,4) = 11!/(4!(11-4)!) = 330 ways the desired outcome can show up in the 11 rolls. The probability is

... 330×(1/2)⁴(1/2)⁷ = 330/2048 ≈ 0.1611

Final answer:

To find the x and y components of a vector, use the cosine and sine functions, respectively, with the given angle. For a vector of 60m at 38°, the components are approximately 47.28m (x) and 36.96m (y).

Explanation:

To find the x and y components of a vector given its magnitude and a direction, you can use trigonometric functions. Assuming the vector Δr is the one you're referring to, with a magnitude of 60m and an angle of 38° (from the x-axis, presumed direction), you can apply the cosine function for the x-component and the sine function for the y-component of the vector.

For the x-component: x = magnitude × cos(angle) = 60m × cos(38°) = 60m × 0.788 = 47.28m

For the y-component: y = magnitude × sin(angle) = 60m × sin(38°) = 60m × 0.616 = 36.96m

Therefore, the x and y components of the vector are approximately 47.28m and 36.96m, respectively.

Answer:

30 weeks

Step-by-step explanation:

Given : Dakota runs a half-marathon every 6 weeks,

            Madison runs a half-marathon every 15 weeks

To Find : . If they start now, in how many weeks will they again be running a half marathon at the same time?

Solution :

Since Dakota runs a half-marathon every 6 weeks, Madison runs a half-marathon every 15 weeks

So, to calculate  If they start now, in how many weeks will they again be running a half marathon at the same time

We will take the LCM (lowest common factor) of 6 and 15

3 | 6,15

2 | 2,5

5 | 1,5

  | 1,1

LCM = 3*2*5 =30

The LCM of 6 and 15 is 30

So, If they start now, in 30 weeks they will again be running a half marathon at the same time

Answer:

B

Step-by-step explanation:

The cases can be categorized by comparing the means as follows: 'B. Two proportions' apply to situations like income bracket and voter likelihood comparison, 'C. Matched pairs, dependent groups' apply to dependent groups like a math test given to third graders, 'D. exclusive groups' represent separate unaffected and experimental groups, and 'A. Two independent means, normal distribution' refers to situations where two separate groups are compared.

From the details given, we can classify the cases by comparing the means as follows:

https://brainly.com/question/37913121

#SPJ2

The critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ) are where the derivative is undefined, specifically at θ = π/2 and θ = 3π/2.

To find the critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ), we need to take its derivative and set it equal to zero or find where the derivative does not exist. First, we compute the derivative of the function. Recall that the derivative of sec(θ) is sec(θ)tan(θ) and the derivative of tan(θ) is sec2(θ).

Thus, the derivative f'(θ) is 8sec(θ)tan(θ) + 4sec2(θ). We look for where this derivative is undefined or equal to zero. The derivative is undefined when sec(θ) is undefined, which occurs at θ = π/2 and θ = 3π/2. To find where the derivative is zero, we can factor out 4sec(θ):

4sec(θ)(2tan(θ) + sec(θ)) = 0

The second factor will never be zero because sec(θ) and tan(θ) will not be zero for the same θ in the interval given. Therefore, the critical numbers are where the derivative is undefined, which is θ = π/2 and θ = 3π/2.

https://brainly.com/question/29743892

#SPJ3

The value of Equation is y = -3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

-3(y-5) = 24

Now, solving for y

Divide both side by (-3) we get

-3(y-5) / (-30= 24/ (-3)

y-5 = -8

Add 5 to both side

y- 5 +5 = -8 + 5

y = -3

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

The value of the multiplication of the fractions will be equal to 27 / 70.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fractions are 3/7 and 9/10. The multiplication of the number will be calculated as,

M = 3 / 7 x 9 / 10

M = 27 / 70

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

Twice the sum of a number and 3 is the same as 5 subtracted from the number. Then the number will be -11.

Sum refers to the addition of terms, while subtraction means removal.

Let the number be x

Following the given information:

sum of a number and 3 = x+3

Expression 1

Twice the sum of a number and 3 =2(x+3)

Expression 2

5 subtracted from the number=x-5

On equating both the expressions as follows:

2(x+3)=x-5

Solving the equation to get the value of x:

2x+6=x-5

2x-x=-5-6

x=-11

Thus, the number is -11.

Learn more about mathematical operation, here:

https://brainly.com/question/29635854

#SPJ4