Solve. −45 = −2b + 3 + 8b

Answer:

Zavier had 37 books, and Maria had 33 books

Step-by-step explanation:

You take 70 and divide it by 2 (cause you are only dividing the books up to maria and Zaviar); this will give you 35 books to each person EXCEPT Zavier has two more books to his pile, so you subtract two books from Marie and add it to Zaviers!

Although it is true that only the x-axis is affected, that is, on the horizontal, when multiplying by a number less than 1, there would not be a stretch but a narrowing.

That is, the horizontal part would be smaller, which contradicts what Richard says.

For the given equation the value of x is, x = 12.

What is solving an equation?

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution.

Consider, the given equation[tex]\frac{2}{3}x - 1=9-\frac{1}{6}x[/tex]

Add 1 on both sides,

[tex]\frac{2}{3}x -1+1 = 9-\frac{1}{6}x+1\\ \frac{2}{3}x=10-\frac{1}{6}x[/tex]

Add 1/6(x) to both sides,

[tex]\frac{2}{3}x + \frac{1}{6}x = 10 - \frac{1}{6}x+\frac{1}{6}x\\ \frac{5}{6}x = 10[/tex]

Multiply both sides by 6/5

[tex]\frac{5}{6}x (\frac{6}{5}) = 10(\frac{6}{5}) \\ x = 12[/tex]

Hence, the value of x is, x = 12.

To know more about solving an equation, click on the link

https://brainly.com/question/22688504

#SPJ1

Notice that the expression for h(x) uses an absolute value. The absolute value is the basic function related to h(x).

Recall the following function transformations:

Horizontal shift by c units:

Vertical shift by c units:

Reflection across the X axis:

Starting with the absolute value function, notice that the function h can be obtained by applying a reflection across the X-axis, a horizontal shift by 1 unit and a vertical shift by 4 units:

The graph of the polynomial function shows the factored form of the

related polynomial, the factored form is (x+2)(x-2).

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -2 and x= 2.

Then the factors are x+2 and x-2.

So the factored form is (x+2)(x-2).

Therefore, The graph of the polynomial function shows the factored form of the related polynomial, the factored form is (x+2)(x-2).

To  learn more about polymonials refer here

https://brainly.com/question/7693326

#SPJ9

When we have an inverse function, the domain and range are switched.

All x-coordinates become y-coordinates and vice-versa.

So, if the point (-7, -5) is a solution of h(x), the point (-5, -7) is a solution of h^-1(x)

If the point (-1, -2) is a solution of h(x), the point (-2, -1) is a solution of h^-1(x).

Therefore, the endpoints of the segment that represents the inverse function are the points (-5, -7) and (-2, -1).

Answer:

140

Step-by-step explanation:

triangles equal to 180

64+76+x=180

x=40

180-40=140

Answer:

140°

Step-by-step explanation:

We know that,

  the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

k = 64 + 76

k = 140°

SOLUTION

Dependent events influence the probability of other events or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

PART A

Since the flip of a coin would not affect the spin of the spinner, therefore these events are independent events.

The answer is 'I'

PART B

To find the probability that the coin lands tails-up and the spinner lands on 1, we would need to find the probability of getting a tail, then we find the probability of getting a 1

Therefore,

When we flip a coin, the favourable outcome for a tail is 1 since a tail can only occur once in one flip. The total possible outcomes are 2, since we can have either a tail or head occurring in one flip.

Then,

When we spin the spinner, the favourable outcome for one is 1, since we have only one slot for one on the spinner. The total possible outcome is 4 since we have 4 different number

slots on the spinner.

Then,

To get the probability of getting a tail, then we find the probability of getting a 1 we multiply the probability of getting a one on the spinner and a tail on the flip.

The graph that matches the given linear inequality is (B) .

In the question ,

it is given that

the linear inequality is y [tex]>[/tex] -x + 4

on rewriting the inequality

we get

x + y [tex]>[/tex] 4

to plot the inequality , we need points to plot .

So ,when x = 0 , we have y = 4

and when y = 0 , we have x = 4

so the two points are (0,4) and (4,0) .

For shading the inequality , we put x = 0 and y = 0 ,

and get 0+0 > 4

0>4 , the result is False , So , the shaded region will be away from the origin which is shown in option (b) .

Therefore , The graph that matches the given linear inequality is (B) .

Learn more about Inequalities here

https://brainly.com/question/26591602

#SPJ1

Answer:

−13w − 6.8

Step-by-step explanation:

Let's simplify step-by-step.

−6w − 8.3 + 1.5 − 7w

−6w + −8.3 + 1.5 + −7w

Combine Like Terms:

−6w + −8.3 + 1.5 + −7w

(−6w + −7w) + (−8.3 + 1.5)

−13w + −6.8

The answer is -13w+9.8

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: -6w + (-8.3) + 1.5 + (-7w) = -13w+9.8

Hence, The answer is -13w+9.8

Learn more about like and unlike terms here:

https://brainly.com/question/29078851

#SPJ2

the mode is 5 i don't understand what the the other part is

9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

Answer:

I think the answer would be 88

The rocket arrives at its most extreme level at 1.5 seconds after send-off will be 39 feet.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A toy rocket is shot upward up high from a take-off platform 3 feet over the ground with an underlying speed of 48 feet each second. The level h, in feet, of the rocket over the ground at t seconds after send-off is given by the capability h(t) = - 16t² + 48t + 3.

Differentiate the function and put it equal to zero.

h'(t) = 0

-32t + 48 = 0

32t = 48

t = 1.5 seconds

Then the maximum height is given as,

h(1.5) = - 16(1.5)² + 48(1.5) + 3

h(1.5) = 39 feet

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ1

Check the picture below.

Answer:

perimeter is 7.5 units

Step-by-step explanation:

the sides of the regular polygon are the same length , then

5x - 6 = 3)x - 1)

5x - 6 = 3x - 3 ( subtract 3x from both sides )

2x - 6 = - 3 ( add 6 to both sides )

2x = 3 ( divide both sides by 2 )

x = 3 ÷ 2 = 1.5

then length of one side is

5x - 6 = 5(1.5) - 6 = 7.5 - 6 = 1.5 units

then perimeter = 5 × 1.5 = 7.5 units

[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.[/tex]

answer is option 2 : (1, 5) because:

when x = 1 , y should = 5:

[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.\\\\\left \{ {{y=5(1)} \atop {y=4(1)+1}} \right.\\\\\left \{ {{y=5} \atop {y=5}} \right.[/tex]

The value of 16 ft is the diameter of the semicircle.

That means the radius is 8 ft, and this is also the measure of the smaller side of the rectangle.

First, let's calculate the area of the rectangle:

Now, let's calculate the area of the semicircle:

So the area of the shaded region is:

Answer:

see explanation

Step-by-step explanation:

A base angle

B leg

C vertex angle

D leg

E base angle

F base

in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.

the base angles are opposite the congruent legs

the remaining side, the base is the 3rd side of the triangle

the vertex angle is formed by the 2 congruent legs

In (x+3)(x+2)=0, we use zero product property

And in [tex]x^{2}[/tex]+6=31, we use square root property

What is square root property and zero product property?

It is a property that can be used to solve the quadratic equations. It is used to solve an equation that can be put into one of the following two forms.

zero product property states the product of two non-zero elements is non-zero. The principle of zero-product property states that if there is any product of two numbers, that is equivalent to zero.

(x + 3) (x + 2) = 0

The most appropriate technique used to solve this equation is,

1.) zero product property

The solutions are:

(x + 3) = 0

x = -3

(x + 2) = 0

x = -2

x² + 6 = 31

The most appropriate technique used to solve this equation is,

2.) square root property

x² = 31-6

x² = 25

x = +/- root (25)

x = +/- 5

The solutions are:

x = 5, x=-5

To know more about square root property and zero product property, visit:

https://brainly.com/question/3164859

#SPJ1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given ratios

STEP 2: Add the ratios

STEP 3: Calculate the earnings of each of them

Erin's

Kim's

Megans's

Hence, the earnings are given as:

Erin's: $1099.34

Kim's: $12825.62

Megan's: $855.04

Answer:

Bot 4

Step-by-step explanation:

Here is one way

rate of bot 3    36 /5         in ten seconds    36/5 *10 = 72 clks

rate of bot4     26/3          in ten seconds    26/3 * 10 = ~ 87 clks

The symbol ∼ denotes similarity, that is, the triangles ABC and XYZ are similar. When two triangles are similar, they have the same shape but not necessarily the same size and their corresponding angles are the same. In turn, the corresponding sides of two corresponding triangles are in the same ratio. Graphically,

So to find x in the small triangle, you have

Finally, to find b in the large triangle, you have

Therefore, the lengths of the sides x and b are

Answer:

  $15.27

Step-by-step explanation:

You want to know how much more profit Kevin made on Saturday than on Friday, if his revenue and expenses for the two days were ...

The profit each day is the difference between revenue and expenses:

  Saturday profit = $807.31 -289.00 = $518.31

  Friday profit = $735.90 -232.86 = $503.04

The profit on Saturday exceeded the profit on Friday by ...

  $518.31 -503.04 = $15.27

Kevin made $15.27 more on Saturday than Friday.

<95141404393>

Explanation:

Associative properties for multiplication is stated as follows:

(a * b) * c =

We must graph the line with the equation:

Plotting this line, we get the following graph:

From the graph, we see that:

• the x-intercept is (-2, 0),

• the y-intercept is (0, -1).

• The x-intercept is ,(-2,0) ✓

• The y-intercept is not (0, -4) ,✖,, the correct y-intercept is ,(0, -1), ,✓,.

Using the perimeter concept, the measures are given as follows:

a) Perimeter when the missing box is of -7: -6x² + 8x + 4.

b) Coefficient missing when the perimeter is of 5x² + 8x + 4: a = 4.

c) Perimeter from part B when x = 3: 73 inches.

The perimeter of a figure is obtained by the sum of their outer side lengths.

For this shape, these lengths are given as follows:

With a missing coefficient of a = -7, we have that:

ax² + x = -7x² + x.

Hence the perimeter is:

3x + x² + 5 - 7x² + x + 4x - 1 = -6x² + 8x + 4.

In symbolic terms, the perimeter is:

(1 + a)x² + 8x + 4.

When the perimeter is of 5x²+8x + 4, the coefficient is:

1 + a = 5

a = 5 - 1

a = 4.

When x = 3 and a = 4, the perimeter is given as follows:

P = 5(3)² + 8(3) + 4 = 73 inches.

More can be learned about the perimeter of a figure at https://brainly.com/question/19819849

#SPJ1

We can find the percentage of increase in the number of Magikarps that Jose captured in the lake by taking the initial number of them and subtracting it from the number that he had by the end of the day, like this:

16 - 8 = 8

Now, we just have to divide 8 by 16 and then multiply by 100, like this:

Then, his number of Magikarps increased a 50%

Given:

The graph shows the prices of the current year for the number of bushels.

And the table shows the prices of the previous year.

Part A: We will find the rate of change of bushels of corn in the current year.

As the graph shows a line, so, the rate of change will be the slope of the line

We will find the slope using two points.

As shown the line passes through the points (0,0) and (3,24)

So, the slope will be as follows:

So, the rate of change = $8 per Bushel.

Part B: How many dollars more in the price of a bushel of corn in the current year than the previous year.

From the table: the price of the previous year = 21/3 = $7

And form the graph, the price of the current year = $8

So, the differnce = 8 - 7 = $1

So, the answer will be:

$1 more is the price of the current year than the price of the previous year.