pls help! show work!​

Pls Help! Show Work!

Answers

Answer 1

The student is correct because we can factorize x² - x - 56 to get (x - 8)(x + 7).

How to Factorize an Expression?

In order to determine if -56 is the integer that can replace the box in the expression, we can try to factorize the expression and see if it works.

Factorize x² - x - 56 using the sum-product pattern:

x² - x - 56

Take out the common factors from each pair:

(x² + 7x) - (8x - 56)

x(x + 7) -8(x + 7)

Rewrite in factored form:

(x - 8)(x + 7)

Thus, this shows that the student is correct.

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Related Questions

Find each angle and arc measure.




mDGF= degrees

(50 POINTs will give BRAINIEST FOR EFFORT)

Answers

Answer: 226

Step-by-step explanation:

The angle is half of the arc angle

so mDGF is 2 times as big as the angle

mDGF=113*2

mDGF=226

maria and joan went shopping. maria bought 3 pair of jeans that each cost the same amount and 4 t-shirts that each cost the same amount. joan bought 2 pair of jeans that each cost the same amount, and 1 t-shirts that each cost the same amount. what is the cost of the jeans and shirts

Answers

Result:

The total cost of the jeans and shirts  = 5(x + y)

How do we determine the cost?

Let's use variables (x and y) to show the total cost of one pair of jeans and one T-shirt, respectively.

Let x = the cost of one pair of jeans.

Let y = e the cost of one T-shirt.

Given:

Maria bought 3 pairs of jeans and 4 T-shirts, all at the same price. That is:

3x = cost of Maria's jeans

4y = cost of Maria's T-shirts

Joan bought 2 pairs of jeans and 1 T-shirt, all at the same price. That is:

2x = cost of Joan's jeans

y = cost of Joan's T-shirt

To find the total cost of all they bought, add up the costs:

Total cost = Maria's cost + Joan's cost

Total cost = 3x + 4y + 2x + y

Total cost = 5x + 5y

So the total cost is 5 times the sum of the cost of one pair of jeans and one T-shirt.

Simplify the expression by factoring out a common factor of 5, and we get:

Therefore, total cost = 5(x + y)

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What transformations take the graph of f(x) = e^x to f(x) = -e^x -2?

Answers

The transformations of the given functions is vertical shift 2 units down.

Given that, the function is f(x)=-eˣ to f(x)=-eˣ-2.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function: f(x)= −eˣ

Horizontal Shift: None

Vertical Shift: Down 2 Units

Reflection about the x-axis: None

Vertical Compression or Stretch: None

Therefore, the transformations of the given functions is vertical shift 2 units down.

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Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third

Answers

The proportion equivalent with Two-thirds would be 6/9.

Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the  proportion with Two-thirds

If you actually divide it’ll make since , so first  we want to divide the 2 , then you want to multiply the third of the two

2/3 x 3/3

6/9

thus, the answer will be 6/9.

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What is the range of |x|-7?

Answers

Answer:

3 2/5 +(3/2+3/5)×6/5÷3/2-10 1/2× 2/2

In order to estimate the average electric usage per month, a sample of 121 houses was selected and the electric usage was determined. Assume a population standard deviation of 370 kilowatt-hours. The standard error is 33.64. Find the size of the margin of error at 95% confidence.
a. 1.64
b. 1.96
c. 55.33
d. 65.93

Answers

If the standard error is 33.64, the size of the margin of error at 95% confidence is 65.93. So, correct option is D.

The margin of error (ME) can be calculated using the formula:

ME = z* (standard error)

where z is the z-score from the standard normal distribution corresponding to the desired level of confidence. For 95% confidence, z is 1.96.

Substituting the values given in the problem, we have:

ME = 1.96 * 33.64 = 65.93

Therefore, correct option is D.

This means that if we take multiple random samples of size 121 from the population, and calculate the sample mean and confidence interval for each sample, we can expect the true population mean to fall within 65.93 units above or below the sample mean, 95% of the time.

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The Mackinac Bridge in Michigan is 1158 meters long. The Tsing Ma Bridge in Hong Kong is 97 meters longer than the Golden Gate Bridge in California. Together, all three bridges have a length of 3815 meters. How long is the Tsing Ma Bridge?

Answers

Lenght of Tsing Ma Bridge in Hong Kong is, 1,377 meters

Given that;

The Mackinac Bridge in Michigan is 1158 meters long.

And,  The Tsing Ma Bridge in Hong Kong is 97 meters longer than the Golden Gate Bridge in California.

Let the length of Golden Gate Bridge = x

Then, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

Since, Together, all three bridges have a length of 3815 meters.

Hence, We get;

1158 + x + (x + 97) = 3815

1255 + 2x = 3815

2x = 2,560

x = 1,280 meters

Thus, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

                                                                         = 1280 + 97

                                                                        = 1,377 meters

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what is the area of triangle ADC, if A is (-1, 3), D is (-1, 7), and C is (0, 4)?

Answers

Answer:

e

Step-by-step explanation:

g

Maria is creating a new art piece on canvas. (The canvas is represented in the picture below as
rectangle ARTS). She knows the base edge of the canvas, ST, measures 4 ft. And the distance of
diagonal AT measures 8.5 ft. What is the area of Maria’s canvas? Show all work.

Answers

The Area of Maria's canvas is 30 ft.

Area of Maria's canvas, we need to know the length of the other side of the rectangle. We can use the Pythagorean theorem to find this length. Let's call it SA.

According to the problem statement, the base edge ST measures 4 ft, and the diagonal AT measures 8.5 ft. Using the Pythagorean theorem, we have:

[tex]AT^2 = ST^2 + SA^2\\8.5^2 = 4^2 + SA^2\\72.25 = 16 + SA^2\\56.25 = SA^2\\SA = \sqrt{56.25}\\SA = 7.5\ ft[/tex]

Now we know that the length of the canvas is 7.5 ft, and the width is 4 ft. Therefore, the area of Maria's canvas is:

Area = length x width

Area = 7.5 ft x 4 ft

Area = 30 square feet

Therefore, the area of Maria's canvas is 30 square feet.

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the amount harry is paid each day, f(x), is a function of the number of hours, x, he works. the function f(x)=10x+25 models this situation. harry can work, at most, 4 hours each day. what is the best domain of the function in this context?

Answers

The total amount paid to harry in past week, is 299.28.

We know that,

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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complete question:

Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.

Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings

Calculate how much in total Harry was paid last week

Find the maximum value of C=4x+2y subject to the following restraints x>2 x<5 y>1 y<6

Answers

The required maximum value of C is 16, and it occurs when x = 3 and y = 2.

To find the maximum value of C = 4x + 2y subject to the restraints x > 2, x < 5, y > 1, and y < 6, we can use the method of Lagrange multipliers.

First, we set up the Lagrangian function L as follows:

L = 4x + 2y - λ₁(x - 2) - λ₂(x - 5) - λ₃(y - 1) - λ₄(y - 6)

where λ1, λ2, λ3, and λ4 are Lagrange multipliers.

Next, we take the partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4, and set them equal to zero:

∂L/∂x = 4 - λ₁ - λ₂ = 0

∂L/∂y = 2 - λ₃ - λ = 0

∂L/∂λ₁ = x - 2 = 0

∂L/∂λ₁ = 5 - x = 0

∂L/∂λ₃ = y - 1 = 0

∂L/∂λ₄ = 6 - y = 0

Solving these equations simultaneously, we get:

λ₁ = 1, λ₂ = 3, λ₃ = 1, λ₄ = 1, x = 3, y = 2

Therefore, the maximum value of C is:

C = 4x + 2y = 4(3) + 2(2) = 16

So, the maximum value of C is 16, and it occurs when x = 3 and y = 2.

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solve for x
2x^2/3+9x^1/3= -4

Answers

The solution of the equation is x=0.08813 or 3.90664.

We have,

2x² / 3  + 9[tex]x^{1/3[/tex] = -4

Now, solving the equation for x

2x² + 27[tex]x^{1/3[/tex] = -12

Now, taking cube on both side we get

(2x² + 27[tex]x^{1/3[/tex] )³= -12³

Now, simplifying we get

19683x = -1728 -864x² -144[tex]x^4[/tex]-8[tex]x^6[/tex]

So, x=0.08813 or 3.90664

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Gwen has $50 in a savings account that earns 5% annually. The interest is not compounded. How many years will it take for her to have $57.50 in her
account?

Answers

Answer:

3 years

Step-by-step explanation:

1. Find 5 percent of 50.

5 percent of 50 is 2.5.

However, we are talking about money so we will say 2.50.

2. Add to 50 until you reach your desired number.

50 + 2.50 = 52.50

52.50 +2.50 = 55

55+2.50 = 57.50

Finally we have reached 57.50. It took us 3 equations to get there and therefore took 3 years.

(x)<0 over and what other interval?

Answers

The other interval is (-1.1, 0.9)

In a graph of any function, values of f(x) are represented by the values on the y-axis for the different input values on x-axis.

For the given graph, values of f(x) are less than zero.

That means interval in which the values of the function are negative for the different values of x.

Negative values of the given function are in the intervals (-∞, -3), (-1.1, 9).

Therefore, from the given options, Option (4) will be the answer.

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The complete question is

F(x)<0 over (-∞, -3) and what other interval?

O (-2.4, - 1.1)

O (-3, - 1.1)

O (-1.1, 2)

O (-1.1, 0.9)

(2/5)y-5=-2.5
What's y

Answers

Answer: Y = 6.5

Step-by-step explanation:

Garnier's Opera House is a revival of the________style.

Romantic

Gothic

Renaissance

Baroque

Answers

Answer:  Garnier's Opera House is a revival of the Baroque style.

Please help me out! :D

Answers

Answer:

A

Step-by-step explanation:

the domain!! :) i hope this helps

I don’t understand this problem

Answers

The area of the composite figure is equal to 521.080 square milimeters.

How to determine the area of a composite figure

In this problem we have the representation of a composite figure, whose area should be found. This figure is the consequence of the combination of  three figures: a semicircle, a rectangle and a triangle. The area formulas for each case are introduced below:

Semicircle

A = 0.5π · r²

Where r is the radius, in milimeters.

Rectangle

A = b · h

Triangles

A = 0.5 · b · h

Where:

b - Base, in milimeters.h - Height, in milimeters.A - Area, in square milimeters.

Now we proceed to compute the area of the composite figure:

A = 0.5π · (10 mm)² + (20 mm) · (14 mm) + 0.5 · (12 mm) · (14 mm)

A = 50π mm² + 280 mm² + 84 mm²

A = 521.080 mm²

Remark

The statement is absent. Complete statement is introduced below:

Find the area of the figure.

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1-The tangent line to the curve y = x³ at point A(a, a³) intersects the curve at point B. Let
R be the area of the region bounded by the curve and the tangent line. The tangent line at B
intersects the curve at another point C. Let S be the area of the region bounded by curve and
the second tangent line. How are the areas R and S related?

Answers

Answer:

The areas R and S are equal.

Step-by-step explanation:

Since, the tangent line to the curve y = x³ at point A(a, a³) is given by y = 3a²(x - a) + a³. This line intersects the curve at point B(a, a³), and we can find the x-coordinate of point B by setting y = 3a²(x - a) + a³ equal to x³ to get the equation x³ - 3a²x + 3a³ - a³ = 0. Using the fact that x = a is a root of this equation, we can factor it as (x - a)³ = 0, which implies that the curve and the tangent line are tangent at point B.

The slope of the tangent line at point B is 3a², so the equation of the tangent line at point B is y = 3a²(x - a) + a³. This line intersects the curve at another point C, and we can find the x-coordinate of point C by setting y = 3a²(x - a) + a³ equal to x³ to get the equation x³ - 3a²x + 3a³ - a³ = 0. Using the fact that x = a is a root of this equation, we can factor it as (x - a)³ = 0, which implies that the curve and the tangent line are tangent at point C.

The region bounded by the curve and the tangent line at point A is a triangle with base a - (a - a) = 0 and height a³ - a³ = 0, so its area is 0. The region bounded by the curve and the tangent line at point B is a triangle with base a - a = 0 and height a³ - a³ = 0, so its area is also 0. Therefore, the areas R and S are both equal to 0, which means they are equal to each other.

Which of the following represents the symmetric property of equality?
A) If a = b and b = c, then a = c

B) If a = b, then ac = bc

C) If a = b, then b = a

D) a(b + c) = ab + ac

Answers

Answer:

  C)  a = b  ⇒  b = a

Step-by-step explanation:

You want to identify the statement that represents the symmetric property of equality.

A.

If a = b and b = c, then a = c. This is the transitive property of equality.

B.

If a = b, then ac = bc. This is the multiplication property of equality.

C.

If a = b, then b = a. This is the symmetric property of equality.

D.

a(b +c) = ab +ac. This is the distributive property of multiplication over addition.

A closet in Shivani's house is 2 yards by 1 yard. How much would it cost to put a new floor in the closet if the flooring costs $38.00 per square yard?

Answers

The amount it would cost to put a new floor in the closet is $76.00

Calculating how much it would cost to put a new floor in the closet

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Can someone help with this?

Answers

Answer: the real zero of this equation is 5/3.

Applying the Right Triangle Altitude Theorem. Which similarity statement is true?

Answers

The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

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The complete question is given below.

Yoshi is driving across the United States. If Yoshi's map is 20 inches across, and the United States is 3,000 miles across, what is the scale of the map?​

Answers

We can use the scale formula to solve this problem. The formula is:

scale = map distance / actual distance

In this case, the map distance is 20 inches, and the actual distance is 3,000 miles. We need to convert these units so that they are both in the same units. Let's convert miles to inches:

1 mile = 63,360 inches (approximately)

So, 3,000 miles is equal to:

3,000 miles * 63,360 inches/mile = 190,080,000 inches

Now we can plug in the values into the formula:

scale = 20 inches / 190,080,000 inches
scale = 1 / 9,504,000

Therefore, the scale of the map is 1:9,504,000. This means that 1 inch on the map represents 9,504,000 inches (or 150 miles) in real life.

An ordinary fair dice is a cube with the numbers 1 through 6 on the sides

Answers

The probability values are P(A) = 0.722 and P(B) = 0.50

Calculating the probability values

From the question, we have the following parameters that can be used in our computation:

A fair die

The sample space of the events are

A = Sum is greater than 5

B = Sum is an even number

From the sample space of the sum of outcomes, we have

n(A) = 26

n(B) = 18

So, we have

P(A) = 26/36 = 0.722

n(B) = 18/36 = 0.50

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Find the area of the shaded region.
80°
5 cm
A≈ [?] cm²
Enter a decimal rounded to the nearest tenth.

Answers

[tex]\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) ~~ \begin{cases} r=radius\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=5\\ \theta =80 \end{cases} \\\\\\ A=\cfrac{5^2}{2}\left( ~~ \cfrac{\pi (80) }{180}-\sin(80^o ) ~~ \right)\implies A=\cfrac{25}{2}\left(\cfrac{4\pi }{9}- \sin(80^o) \right) \\\\\\ A=\cfrac{50\pi }{9}-\cfrac{25\sin(80^o)}{2}\implies A\approx 5.1~cm^2[/tex]

Talk about an experience outside of academia where you had to assess and make a decision that came with risk. Please limit your response to 250 words or less.

Answers

An experience that I had outside the academia was when I worked as a marketing coordinator for a small start-up company.

What was the experience?

A product launch event had been planned by the team for several weeks, and everything appeared to be going according to plan. However, we learned the day before the event that our keynote speaker, who was an important component of it, had unexpectedly become unwell and would not be able to attend.

I had to evaluate the situation as the marketing coordinator and decide right away. Either we could cancel the event or we could locate a another speaker.

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The measure of weights of 15 students is normally distributed with a sample mean of 6 and standard deviation of 5. Find the 95% confidence interval for the mean.

Answers

The 95% confidence interval for the mean is [3.23, 8.76].

What is the confidence of interval?

The confidence of interval of the mean is calculated as follows;

Confidence interval = σ ± (t-value  x   μ)

where;

σ is the sample meanμ is the standard error

The standard error is calculated as follows:

μ = std / √n

μ = 5 / √15

μ = 1.29

Based on this value we will check the distrbution table, for the t-value of 95% confidence;

=  2.145.

Confidence interval = σ ± (t-value  x   μ)

= 6 ± (2.145 x 1.29)

= [3.23, 8.76]

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Write each number in scientific notation

Answers

Answer:

There is nothing to write about my brother

Step-by-step explanation:

There is a scientific notation moment when shrek had to hit the griddy and said "i said right foot creep"

In Martha's food storage, she has 13 cans of chicken noodle soup, 15 cans of tomato soup, and 17 cans of mushroom soup. If she randomly chooses a can of soup from her food storage, what is the probability it is a can of tomato soup?

Answers

Answer:

1/3

Step-by-step explanation:

p(event) = (number of desired outcomes)/(total number of outcomes)

total number of outcomes = 13 + 15 + 17 = 45

number of desired outcomes = 15

p(can of tomato soup) = 15/45 = 1/3

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