Kent multiplies both sides of the equation below by an expression. Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now

Interior angles: the angle formed inside a polygon .

Exterior angles: the angles formed between sides of polygon and extended adjacent side.

Step-by-step explanation:

the second option.

you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).

the slope is always the factor of x in an equation of

y = ax + b

the only equation provided in the answer options with slope -3 is

-y <= 3x + 4

because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :

y >= -3x - 4

there you have it. no other equation here can be transformed into this.

as a control we also look at the second equation :

-3x + 3y <= -9

3y <= 3x - 9

y <= x - 3

this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.

so, it is all correct.

Answer:

D.20

Step-by-step explanation:

4*5=20

Answer:

9) 1,2,3,6,9,18,27,54

10) 1, 2, 4, 5, 10, 20, 25, 50, 100

11) 1 , 3 , 5 , 15 , 25 and 75

12) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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Answer:

  x = y = z = (√6)/3 cm ≈ 0.8165 cm

Step-by-step explanation:

You want the dimensions of the cuboid with the largest volume and a total surface area of 4 cm².

For a fixed surface area, the figure with the largest volume is a regular figure. In this case, it is a regular cuboid, or cube.

The total surface area of a cube with edge length s is ...

  A = 6s²

Then the edge length of the desired cube is found from ...

  4 = 6s²

  s² = 2/3 = 6/9 . . . . . . divide by 6; write with square denominator

  s = √(6/9) = (√6)/3

The dimensions of the box are ...

  x = y = z = (√6)/3 cm ≈ 0.8165 cm

Answer:

Ciera is driving at a faster rate.

Step-by-step explanation:

You calculate speed, by dividing distance by time.

So 18 divided by 24 is 0.75. That is Ciera's speed.

And then to calculate the other person/thing's speed you have to divide 46 by 60 minutes (equal to one hour). The speed calculates to 0.7666666667

Therefore, Ciera is driving faster.

Answer:

80miles

Step-by-step explanation:

Area of a square grid = L²

L is the side length of the grid

Given that Area of the square = 400mi square

400 = L²

L =√400

L = 20miles

To get the number of miles travelled, we will find its perimeter

P = 4L

P = 4(20)

P = 80miles

Hence Jacob's family travels 80miles

Answer:

x=67

Step-by-step explanation:

you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer

Answer: 81 socks

Step-by-step explanation: $35 + .75s > $55 + .50s

s > 80

Answer:

If you follow c²=a²+b² you can find your solution or you can do it with the cosinus rule/ sinus rule. But i don't see the side a remarked in your picture so i don't know which one you want to calculate.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

area = wl (6×4 = 24)

w width l length

Answer:

\(3x+5y=-5\)

Step-by-step explanation:

First, we can put the given information into an equation in point-slope form:

\(y-y_1=m(x-x_1)\) when \((x_1,y_1)\) is the given point and \(m\) is the slope

Plug in the point (-5,2)

\(y-2=m(x-(-5))\\y-2=m(x+5)\)

Plug in the slope \(\frac{-3}{5}\)

\(y-2=\frac{-3}{5} (x+5)\)

Open up the parentheses

\(y-2=\frac{-3}{5} (x+5)\\y-2=\frac{-3}{5}x+\frac{-15}{5} \\y-2=\frac{-3}{5}x-3\)

Multiply all values by 5 to rid the fraction

\(5y-10=-3x-15\)

Add 3x to both sides

\(3x+5y-10=-3x-15+3x\\3x+5y-10=-15\)

Add 10 to both sides

\(3x+5y-10+10=-15+10\\3x+5y=-5\)

I hope this helps!

Answer:

The last one,

A linear functon is a straight line

The x-intercept is the point at which the graph of a linear function crosses the x-axis.

All linear functions cross the y-axis and therefore have y-intercepts.

Step-by-step explanation:

Hope it helped :)

Answer:

x=9 ⇒AC=24

Step-by-step explanation:

vì DE//B C⇒ΔABC  Tương ung ti tỉ lệ vớiv  ΔADE

⇒DB/AB=EC/AC

⇒AC=(EC.AB)/DB

⇒AC=24

Answer: 1  + 6x

Step-by-step explanation:

Combine 8 and -7.

8 - 7 = 1

Next combine -4x + 10x.

-4x + 10x = 6x.

So to simplify the equation, 1 + 6x.

hope this helps

The minimum dividend that the REIT must pay per share to maintain its tax-exempt status is $3.15 per share.

To determine the minimum dividend per share, we need to consider the requirements for a Real Estate Investment Trust (REIT) to maintain its tax-exempt status. According to the tax laws governing REITs, they are required to distribute at least 90% of their taxable income to shareholders in the form of dividends.

In this case, the net income of the REIT is $300,000. To calculate the taxable income, we need to add back the deduction for depreciation and amortization, as these are non-cash expenses. Therefore, the taxable income is $3,500,000 ($300,000 + $4,600,000).

To maintain the tax-exempt status, the REIT must distribute at least 90% of the taxable income to shareholders. Thus, the minimum dividend per share can be calculated as follows:

Minimum Dividend per Share = (Taxable Income / Number of Shares) * 90%

= ($3,500,000 / 1,000,000) * 90%

= $3.15 per share

In order for the REIT to maintain its tax-exempt status, it must pay a minimum dividend of $3.15 per share. By distributing at least 90% of the taxable income to shareholders, the REIT fulfills the requirements set by tax laws governing REITs.

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Answer:

130.92

Step-by-step explanation:

8.25(12)+3.99(8)

99+31.92

130.92

Linear functions are functions that have uniform and constant rates.

(a) Ordered pairs

The ordered pair is given as (-9,-4) and (-3,-16).

The slope (m) is calculated as:

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

So, we have:

\(m = \frac{-16 --4}{-3--9}\)

\(m = \frac{-12}{6}\)

\(m = -2\)

Hence, the slope (m) is 2

(b) The rate of y = -7x + 1

The function is given as \(y = -7x + 1\)

A linear function is represented as:

\(y = mx + b\)

Where m represents the slope/rate

By comparison

\(m = -7\)

Hence, the rate (m) is -7

(c) The y-intercept of a linear function

The y-intercept of a linear function is where the x-value is 0

From the table,

y = 6 when x = 0

Hence, the y-intercept (b) is 6

(d) Rate of a linear function

From the table, we have the following ordered pairs

(2,18) and (0,6).

The slope (m) is calculated as:

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

So, we have:

\(m = \frac{6 -18}{0-2}\)

\(m = \frac{-12}{-2}\)

\(m = 6\)

Hence, the slope (m) is 6

(e) Equation of a linear function

From the table, we have the following ordered pairs

(0,-5) and (-3,4).

The slope (m) is calculated as:

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

So, we have:

\(m = \frac{4 --5}{-3-0}\)

\(m = \frac{9}{-3}\)

\(m = -3\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

So, we have:

\(y = -3(x - 0) -5\)

\(y = -3x -5\)

Hence, the linear equation is \(y = -3x -5\)

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Answer:

Spencer

Step-by-step explanation:

The points are (3,-1) and (5,4) to find slope, you subtract the two y and x points  and divide or put it into a fraction.

The equation for the numerator would be 4-(-1). The negatives cancel out, so the equation is actually 4+1, which is 5.

The equation for the denominator is 5-3, which is 2.

The slope would be 5/2, and Spencer did that work, so Spencer is correct.

The slope will be 5/2, and Spencer did that work, so Spencer is correct.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given the points;

(3,-1) and (5,4)

x1 = 3 ; x2 = 5 ; y1 = - 1 ; y2 = 4

Spencer is right because, the slope of a line is obtained thus ;

Slope = change in y / change in x

Slope = (y2 - y1) / (x2 - x1)

Slope = (4 - (-1)) / (5 - 3)

Slope = (4 + 1) / 2

Slope = 5 / 2

Hence, slope = 2.5

The slope will be 5/2, and Spencer did that work, so Spencer is correct.

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Answer:

1. to c.

2. to d.

3. to a.

4. to b.

Step-by-step explanation:

These answers should be right.

Hope this helps!

The matching of the polynomials to their correct names are:

a. h(x) = 15x+2 is a linear binomial

b. j(x)=x²-3x³ + 9x²  is a  Quartic trinomial

c. f(x)= 3x² - 5x+7 is a Quadratic trinomial

d. 8(x)=-5x³ is a Cubic monomial

A polynomial is an expression having more than one algebraic terms.

1) A quadratic trinomial is a polynomial that is defined as a quadratic expression with all three terms in the form of ax² + bx + c, where a, b, and c are numbers and not a 0.

2) A cubic monomial is defined as a a monomial that has a degree of 3.

3) Linear binomial is defined as a polynomial with two terms whose variable has degree 1. For example, 4x − 5 or 3x + 12 are both linear binomials.

4) A quartic trinomial is defined as a polynomial with three terms having the highest degree 4

Thus:

a. h(x) = 15x+2 is a linear binomial

b. j(x)=x²-3x³ + 9x²  is a  Quartic trinomial

c. f(x)= 3x² - 5x+7 is a Quadratic trinomial

d. 8(x)=-5x³ is a Cubic monomial

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I hope this is the right answer.

Answer:

slope = - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:

Step-by-step explanation: the sampling distribution of the s score of M is normal for any sample size

you can only assume that the sampling distribution of M is normally distributed for sufficiently large sample sizes

The population mean divided by the sample size gives the expected value of the sampling distribution, or m, in terms of the population. Thus, it is true.

For every sample size, it is safe to assume that the sampling distribution of m is normally distributed. As long as the population is normal, and the sample size is not too tiny (for example, n>30), this assertion is typically accurate, even for small sample sizes.

With sufficiently large sample sizes, you cannot simply assume that the sampling distribution of m is normally distributed.

This is untrue since, provided the other assumptions are followed, the sampling distribution of m is often normal regardless of the sample size.

Therefore, it is true that the square root of the sample size divided by the standard deviation of the population yields the standard deviation of the m sampling distribution.

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The probability of drawing a white chip first and a blue chip second is 1/5.

To find the probability of drawing a white chip first and a blue chip second, we can use the formula for conditional probability.

Conditional probability is the probability of an event occurring given that another event has already occurred. It is represented by the notation P(A|B), where A is the event of interest and B is the event that has already occurred.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

This formula expresses the probability of event A occurring given that event B has occurred, as a ratio of the probability of the two events occurring together and the probability of event B occurring alone.

Where A is the event of drawing a white chip first and B is the event of drawing a blue chip second.

We know that the probability of drawing a white chip first is 3/10 (since there are 3 white chips out of a total of 10 chips in the bowl), so P(A) = 3/10.

Once a white chip has been drawn, there are 9 chips left in the bowl, with 6 of them being blue. This means that the probability of drawing a blue chip second given that a white chip has already been drawn is 6/9, so P(B|A) = 6/9.

By multiplying these two probabilities together, we get:

P(A and B) = (3/10) * (6/9) = (3/10) * (2/3) = 6/30 = 1/5

Therefore, the probability of drawing a white chip first and a blue chip second is 1/5.

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