Write an algebraic expression for each verbal expression

22. x more than 7
24. 5 times a number
26. f divided by 10
28. three times a number plus 16
30. k squared minus 11
32. the sum of a number and 10
34. the product of 18 and q
23. a number less 35
25. one third of a number
27. the quotient of 45 and r
29. 18 decreased by 3 times d
31. 20 divided by t to the fifth power
33. 15 less than the sum of k and 2
35. 6 more than twice m

The equation of the line is y = 3x + 6

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6

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Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the  total  cost would be $114.8

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Answer:

a₁₀ = 26

Step-by-step explanation:

to find a₁₀ substitute n = 10 into the nth term formula

a₁₀ = 3(10) - 4 = 30 - 4 = 26

y=-3

1) Since the graph shows us a horizontal line, where any value of x corresponds to y=-3

(2, -3), (3,-3) etc..

2) Then we have a constant function. y=-3

Answer:

y = - 3

Step-by-step explanation:

the line is horizontal and parallel to the x- axis with equation

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

the line passes through (- 4, - 3 ) and (2, - 3 ) both with y- coordinate - 3 , so

y = - 3 ← equation of line

Answer:

if im not mistaken its $11

Step-by-step explanation: dint know how to explain but i think its correct

Answer:

3913

Step-by-step explanation:

Step:1 setup

set up your multiplication problem like this

   91

  43

X_______

Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:

0

91

43

x_______

            3

Step 3:Multiply

3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:

91

43

X

----------

     273

step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:

91

43

X

_______

273

+       0

Step 5: Multiply

4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:

0

91

43

x

________

          273

+            40

Step 6:Multiply

4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:

91

43

x

__________

             273

+          3640

Step 7: Add to get answer

Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:

91

x   43

_________

            273

+          3640

____________

=  3913

Answers:

Rate of change = 3

The function is increasing

===================================================

Explanation:

The notation g(-2) = 6 means the input x = -2 leads to the output y = 6. Therefore, the point (-2,6) is on f(x). The other point given is (2,18).

For linear functions, the terms "rate of change" and "slope" are the same thing.

Let's use the slope formula on the two points (-2,6) and (2,18)

[tex](x_1,y_1) = (-2,6) \text{ and } (x_2,y_2) = (2,18)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 6}{2 - (-2)}\\\\m = \frac{18 - 6}{2 + 2}\\\\m = \frac{12}{4}\\\\m = 3\\\\[/tex]

The slope is 3, which can be written as 3/1

A slope of 3/1 means we go up 3 and to the right 1.

slope = rise/run = 3/1

rise = 3 = go up 3

run = 1 = go to the right 1

Since the slope is positive, this means the line is going uphill as we move to the right. In other words, the function is increasing.

A function is defined as a relation where each input value is paired with exactly one output value. The input -1 has 2 outputs, thus the relation is not a function.

From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A

This is further explained below.

Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.

The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.

In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A

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The value gotten when -1/2 is added to 2/3 is 1/6.

Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

[tex]-\frac{1}{2} + \frac{2}{3}[/tex]

[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

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The critical value that is appropriate for a​ 99% confidence level where n​17, is​ unknown, and the population appears to be normally​ distributed is 2.921 (Option B).

A Critical value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

How did we arrive at the above conclusion?

We are given:

n=17, where n is the size of the set

df = n-1; (df means degree of freedom)

= 17-1

df = 16, at 99% confidence level.

Here we apply the t-test because the data is normally distributed.

∝ = 1-99% [Shere ∝ is the significance level)

= 0.01

∝/2 = 0.01/2

= 0.005

hence,

[tex]t_{\alpha /2} ,df[/tex]  = [tex]t_{0.005}[/tex], 16 = 2.921. this is derived using the T-Table.

The above leads us to conclude therefore that Option B is correct.

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Using the number line we get the value as 5 .

In basic mathematics, real numbers are shown as a graphic of a graduated straight line called a number line.

Now as represented in the number line we subtract the numbers to get

−1−(−6) = 5

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after using each and every details of science class and maths class given in the question

solution of

part a - f(2) = 81

part b - g(2) = 83

part c - Test average for maths class after test 2 is greater

Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

f(x) = 0.5x + 80

solving (A) f(2) = 0.5 * 2 + 80

      = 1  +  80

       = 81

solving (B) : g(2) =83 when x= 2

so :

g(2) = 83

solving (C) : which is greater f(2) or g(2)

in (a) and (b)

f(2) = 81

g(2) = 83

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Answer:

part a - f(2) = 81

part b - g(2) = 83

part c - average for maths class after test 2 is greater

Step-by-step explanation:

Got it right

Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.

We are told that a function f(x) undergoes transformation to get -f(x + 4).

Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.

Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.

Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.

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Answer:

perimeter = 38 units.

Step-by-step explanation:

30 + 7.85

= 37.85

≈ 38 units

Answer:

37.85 (Assuming you are supposed to estimate pi)

Step-by-step explanation:

First, add the easy stuff:

10+10+5+5=30

Then, find the circumference of the circle:

c = 2 π r

c = 2(5)π

c = 10π

Divide by 4:

10π/4 ≅ 7.85

7.85 + 30 = 37.85

Answer:

x= 2 x= -1 5/7

Step-by-step explanation:

I believe this is the answer I used a math site.

IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES

[tex] = (5 - 3x)(5 + 3x)[/tex]

ATTACHED IS THE SOLUTION

When the pit stop duration is one minute other cars will gain 3/2 miles

Time duration of a pit stop during the car race = 10 seconds

The distance gained by other cars = 1/4 mile

Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.

When the duration is one minute or 60 seconds, then the distance gained by other cars will be:

Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles

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We can conclude that the angle ∠RST is 110°.

So, as we can see line R and line T are parallel to each other.

(Refer to the image attached below)

In triangle SRT, we know the two angles which are ∠R = 30° and ∠T = 40°.

So, ∠S in triangle SRT will be:

Therefore, we can conclude that the angle ∠RST is 110°.

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The value of x in the given right-angled triangle is 13.

A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.

180 = 39 + (3x + 12) + 90

Combine similar terms: 180 - 39 - 12 - 90 = 3x

Add similar terms together: 39 = 3x

Divide both sides of the equation by 3: x = 39/3

x = 13°

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The value of functions f(-5) and g(-4) are 90 and -14 respectively.

Given functions are:

g(x) = 4x+2

f(x) = 3x²-3x

We have to find f(-5) and g(-4).

f(x) = 3x²-3x, here in the function we replace the x variables with the value given.

f(-5) = 3x²-3x

     = 3(-5)² - 3(-5)

     = 75 + 15 = 90

g(x) = 4x+2

g(-4) = 4×(-4) + 2

       = -16 + 2 = -14

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Answer: B

Step-by-step explanation:

A  $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285

50x = 285 - 70

50x = 215

x = 215/50 = 4.3

Answer: 41 1/14

Step-by-step explanation:

      41R1 ==> 41 1/14

14|575

  -56

  ____

      15  

     -14

      __

       1

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If f(x) = - x and j(x) = f(x) + 19

Then the function j(x) will be given as,

j(x) = f(x) + 19

j(x) = - x + 19

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

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Answer:

x=10 and y=-10

Step-by-step explanation:

-8x-9y=10

4x-5y=14

put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.

-5(-8x-9y=10)

-9(4x-5y=14)

the subtract the first equation from the second equation after multiplying.

40x+45y=-50

-

-36x+45y=-90

4x=40

x=10

Now get any equation from the two equations and find the value of y.

-8x-9y=10

-8*10-9y=10

-9y=10+80

-9y=90

y= -10

All the bottles produced in one day represents the population in statistics .

In statistics, a population is a collection of similar things or events that are important to a specific experiment or topic.

Since the population represents all the data for a particular time period , in this case we can conclude that the population for the factory will be all the bottles produced in 1 day.

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Answer:

Binomial polynomial means that no negetive power on the no

(1) y² + √2 is correct answer

1) given

2) corresponding angle theorem

3) vertical angle theorem

4) transitive

The relationship between -5/6 and -7/10 is -5/6< -7/10.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.

It is given that,

Fraction 1,

-5/6 = -0.83

Fraction 2,

-7/10 = -0.7

As we know the value of  -0.7 is greater than -0.83.

As a result, the relationship is -5/6< -7/10.

Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.

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