Please help i’ve been stuck on this question for a too long!!

Graph the function with the given description.

A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable
decreases. The value of the function at 0 is 3.

Step-by-step explanation:

Answer:

= 5.51 × 10⁻⁴

scientific notation

= 5.51e-4

scientific e notation

= 551 × 10⁻⁶

engineering notation

millionth; prefix micro- (u)

= 5.51 × 10⁻⁴

standard form

-4

Order of Magnitude

for scientific and standard forms

= 0.000551

(real number)

= five hundred fifty-one millionths

word form

As per transformation of graph, h(x) = 1/4x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted down by 11 units.

To know the effect on the graph

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of (1/a).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 4 and b = - 11.

Now, if we horizontally compress f(x) it by a factor of (1/4) then it be (1/4)x².

Again,  if we shifted down f(x) by 11 units, then it be (1/4)x² - 11.

Therefore, h(x) = (1/4)x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted 11 units down.

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A new Snack Shack is being constructed at Sandy Island Beach which dimensions are 90 centimeters by 30 centimeters.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object

Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 60 centimeters by 20 centimeters which are given in the question

Here the scale 1 cm : 1.5 m

As per the given scale, the dimensions would be as

60 centimeters :

⇒ 60 × 1.5 = 90

20 centimeters :

⇒ 20 × 1.5 = 30

Therefore, a new Snack Shack is being constructed at Sandy Island Beach which dimensions are 90 by 30 cm.

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Answer:

:]

Step-by-step explanation:

x, x+2

Equation: 2x+4=2x+4

All real numbers

b) it is an identity, it has infinite solutions.

Answer:

Step by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method x-y=7;2x-2y=14 Tiger Algebra Solver.

Step-by-step explanation:

Hello!

What is the equation for the slope:

 [tex]\hookrightarrow \text{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

    [tex]Slope =\dfrac{18-9}{-10-(-10)} =\dfrac{9}{0} \\[/tex]

Thus the slope is undefined:

Hope that helps!

Answer:

i think the answer is 2<x<5

Step-by-step explanation:

Answer:

Plane RAT

Step-by-step explanation:

:]

Answer:

21

Step-by-step explanation:

63 divided by 3 is 21

210 divided by 10 is 21

Answer:[tex]b=4, c=-7[/tex]

Step-by-step explanation:

Parallel lines have the same slope.

The slopes of the lines are [tex]\frac{8-b}{c+1}[/tex] and [tex]-\frac{3}{2}[/tex].

Therefore, [tex]\frac{8+b}{c+1}=-\frac{3}{2}[/tex], and one possible pair is [tex]b=4, c=-7[/tex].

The answers (C) and (D) are accurate:.

F(x) = 4; 0 = x 2 and F(x) = -2x + 9; 2 = x 4 respectively.

A piecewise function's graph has a large number of curve elements. It means that, depending on the value of the input, it has a wide range of definitions. To put it another way, a piecewise function reacts differently to the input.

It follows that:

The image displays the piecewise function:

Observing the piecewise function's graph

Every value in the domain is associated to exactly one value in the range according to the function, which may be thought of as a unique kind of connection with a predefined domain and range.

F(x) = 4; 0< = x < 2

F(x) = -2x + 9; 2 < = x < 4

Thus, F(x) = 4; 0< = x < 2 and F(x) = -2x + 9; 2 < = x < 4 the option (C) and (D) are correct.

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The correct question is:

" 2) Select the algebraic definition for the piecewise function graph.

F(x){_____ 0< = x < 2

{_____ 2 < = x < 4

A. 2x-8

B. 2

C. -2x+8

D. 4

E. 2x-4"

The counter example to the statement  “Two angles that are supplementary are always different measures” is 90° and 90°.

Supplementary angles are those angles that sum up to 180 degrees

In other words, two Angles are Supplementary when they add up to 180 degrees.

For example 130 degrees and 50 degrees are supplementary angles.

The statement says "two angles that are supplementary are always

different measures".

Therefore, the counter example to this statement is 90 degrees and 90 degrees. This is because they are the same and it still sum to 180 degrees.

In other words, the angles are supplementary and the same which is counter example to the statement.

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Answer:

1.5x10^12

1500000000000

Step-by-step explanation:

Simplify the expression.

The most appropriate choice for unitary method will be given by-

y =38x is the equation to represent the distance, y, in miles Sofia's

car can travel on x gallons of gas.

What is unitary method?

Unitary method is the method in which the value of single unit can be calculated from the value of multiple unit and value of multiple unit can be calculated from the value of single unit.

Sometimes value of single unit is more than value of multiple unit

For example - Relationship between price of a commodity and quantity of a commodity

Sometimes value of single unit is less than value of multiple unit

For example - Relationship between number of men and number of days taken by those men to do a work

Here,

Let y be the distance travelled by Sofia's car  in miles and let Sofia's

car can travel on x gallons of gas.

On 6 gallons of gas, Sofia's gas can travel 228 miles

On 1 gallon of gas, Sofia's car can travel [tex]\frac{228}{6}[/tex] miles

On 1 gallon of gas, Sofia's car can travel 38 miles

On x gallons of gas, Sofia's car can travel 38x miles

By the problem,

y = 38x

This is the equation  to represent the distance, y, in miles Sofia's

car can travel on x gallons of gas.

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The last month's payment for this family can be algebraically expressed this way: 2665 - d - 11m.

We can obtain an algebraic statement for the last month's payment when we assign alphabetic values to the variables provided.

First, the price is the primary figure that is = 2665

The down payment is represented with the alphabet d dollars.

The monthly payment is denoted by m dollars.

Since we are given a duration of one year or twelve months, we will have to subtract one month from 12 to give us, 11 months.

Given these substitutions, the algebraic statement can be represented thus:

2665 - d - 11m.

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The expression which correctly represents the number of students studying German as required is; 3y + 2x -35.

It follows from the task content that the number of students studying German be determined from the given information.

Therefore since the total number of students is; 100.

35 students study Spanish of which y are boys, therefore, the number of girls studying Spanish is; (35 - y).

Also, since there are 3x girls in total and x of which study French, the remaining 2x study Spanish and German.

Hence, the number of girls who study German is; 2x - (35 - y).

Therefore, the total number of students (boys and girls) who study German is; 2y + 2x - (35 - y).

= 3y + 2x -35.

Ultimately, the total number of students who study German are; 3y + 2x -35.

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Standard form of equation is 3x + 5y = 2.

Ax+ By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful. A linear equation has the conventional form Ax+ By=C. A slope-intercept form equation (y=mx+ b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form. To relocate terms, use inverse operations.

Slope = 2

Points = (3, 5 )

Standard form of equation,

Ax + By = C

Equating,

3x + 5y = 2

Standard form of equation is 3x + 5y = 2.

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Answer:

a) do the first three terms

Answer: a) -4, -2, 0      b) 14

Step-by-step explanation:

To find any term, we plug the number into the equation for n.

a)

1st term => 2(1) - 6 = 2 - 6 = -4

2nd term => 2(2) - 6 = 4 - 6 = -2

3rd term => 2(3) - 6 = 6 - 6 = 0

b)

10th term => 2(10) - 6 = 20 - 6 = 14

PLUG IN

[tex] \frac{11}{10} [/tex]

in the place of x in the function and simplify.

[tex]f( \frac{11}{10} ) = 2( \frac{11}{10} ) - 7 \\ f( \frac{11}{10} ) = \frac{22}{10} - 7 \\ f( \frac{11}{10} ) = \frac{ - 48}{10} \\ f( \frac{11}{10} ) = \frac{ - 24}{5} [/tex]

ATTACHED IS THE SOLUTION

Hello!

To solve for f(11/10)

 ==> must simply plug '11/10' into x's position in the equation

    [tex]f(\dfrac{11}{10} )=2(\dfrac{11}{10} )-7=\dfrac{11}{5} -7=\dfrac{11}{5} -\dfrac{35}{5} =-\dfrac{24}{5}[/tex]

Hope that helps!

Answer:

y = 3 and x = - 6

Step-by-step explanation:

y + 4 = 0 ( subtract 4 from both sides )

y = - 4

this is the equation of a horizontal line, parallel to the x- axis.

a parallel line will also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 6, 3 ) with y- coordinate 3 , then

y = 3 ← equation of parallel line

a line perpendicular to the given line will be a vertical line with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 6, 3 ) with x- coordinate - 6 , then

x = - 6 ← equation of perpendicular line

Answer:

3ab

Step-by-step explanation:

i hope you don't want to know how i did this :)

The number of game disks that must be produced for the average cost to be $4.70 is 2600.

Given:

The average cost of producing x game disks for a computer is given by the function C(x) = 2.6+5460/x

To determine the number of game disks that must be produced for the average cost to be $4.70.

Substitute the average cost in the equation and solve to find the value of x i.e. number of disks,

4.70 = 2.6 + 5460/x

4.70 - 2.6 = 5460/x

2.1x = 5460

x = 5460/2.1

x = 2600

Therefore, the number of game disks that must be produced for the average cost to be $4.70 is 2600.

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Answer:

£4.50

Step-by-step explanation:

ratio of Pat : Alex = 5 : 2 = 5x : 2x ( where x is a multiplier )

then

5x + 2x = 63

7x = 63 ( divide both sides by 7 )

x = £ 9

Pat has 5 × £9 = £45

Alex has 2 × £9 = £18

let the amount they spend on sweets be x , then ratio of money is 3 : 1

so 45 - x : 18 - x = 3 : 1

express the ratio in fractional form and equate proportionally

[tex]\frac{45-x}{18-x}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

45 - x = 3(18 - x)

45 - x = 54 - 3x ( add 3x to both sides )

45 + 2x = 54 ( subtract 45 from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Pat spent £4.50 on sweets

we have the following:

in this case we must find the largest divisor between the numbers 12 and 20, this number is 4:

Therefore 3 flyers for the science club and 5 flyers for the music club. And it would be 4 places

If n is a real number, then its reciprocal will be 1/n.

1. If the equations be [tex]$\left(\frac{3}{4}\right) x=9$$[/tex] then the value of x = 12.

2. If the equations be [tex]$-4=\left(\frac{4}{7}\right) x$$[/tex] then the value of x = -7.

The inverse of a value or a number is the definition of reciprocal in mathematics. If n is a real number, then its reciprocal will be 1/n. Reciprocals are used to convert division to multiplication when dividing fractions, which simplifies the division process.

1. Let the equations be [tex]$\left(\frac{3}{4}\right) x=9$$[/tex]

Multiply both sides by 4

[tex]$4 \cdot \frac{3}{4} x=9 \cdot 4$$[/tex]

Simplifying the above equation, we get

3x = 36

Divide both sides by 3

[tex]$\frac{3 x}{3}=\frac{36}{3}$$[/tex]

Simplify

Therefore, the value of x = 12.

2. Let the equations be [tex]$-4=\left(\frac{4}{7}\right) x$$[/tex]

Switch sides

[tex]$\left(\frac{4}{7}\right) x=-4$$[/tex]

Multiply both sides by 7

[tex]$7 \cdot \frac{4}{7} x=7(-4)$[/tex]

Simplifying the above equation, we get

4x = -28

Divide both sides by 4

[tex]$\frac{4 x}{4}=\frac{-28}{4}$$[/tex]

Therefore, the value of x = -7.

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A right triangle is a triangle with a right angle. The opposite side to the right angle is called the hypotenuse and the other sides are the legs. Given an angle in a right triangle, the ratio between the leg adjacent to the angle and the hypotenuse is equal to the cosine of the angle.

Using this relation in our problem, we have the following:

Solving this expression for q, we have:

And this is our answer.

We know that

< means smaller than

≤ means smaller or equal to

> means greater than

≥ means greater or equal to

We want to find a number (let's call it x), greater than -34

Since, > means greater than, we use this symbol:

y > -34