Mathematics College

Which equation has the same solution as x^2+8x-33 =0 ?1) (x+4)2 =493) (x+4)2 =172) (x-4)2 =494) (x-4)2=17Please show work

Answers

Answer 1

Answer:

1) (x+4)2 =49

Explanation:

To find the equivalent equation we make use of completing the squares. To do this we first write

$x^2+8x-33=0$

adding 33 to both sides gives

$x^2+8x=33$

We complete the square by adding 16 to both sides

$x^2+8x+16=33+16$

which gives

$(x+4)^2=49$

which is choice 1.

Related Questions

Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2 times 1
2 times 2
3 times 1
3 times 2

Answers

Answer:

3 times 1

Step-by-step explanation:

2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.

1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.

our new expression: 3 × 1. hope that helps!

by sloving the ineqailty
6x-7>5

Answers

Answer:

x > 2

Step-by-step explanation:

6x - 7 > 5

Add 7 to both sides: 6x > 12

Divide both sides by 6: x > 2

Bakeware, a bake, ware production company, has a production cost of $6 per round cake pan. Each round cake pan sells for $15. Bakeware's monthly fixed cost is $180,000.
A. Find the break-even quantity.
B. Find the break-even revenue.
C. Find the break-even point.
D. If the company produces and sells 15,000 pans, will this result in a profit or a loss?
E. If the company produces and sells 28,000 pans, will this result in a profit or a loss?

Answers

Answer:

your cheating

Step-by-step explanation:

stopppp

Please help with this question!

Answers

Answer:

The distance between the library and museum is 400 yards

Step-by-step explanation:

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

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What congruence theorem can you use to show that the two wedges of cheese have the same length?
9.6 cm
9.6 cm
3.2 cm
3.2 cm
You can show that the two wedges of cheese have the same length using the
(blank) Congruence Theorem.
Please help!!

Answers

I think it’s side angle side. I say this because you have 2 side measures meaning the one angle is the same.

2. Which statement is represented by the equation 4 * 9 - 36?
a 36 is 4 more than 9.
b. 36 is 9 times as many as 4.
o. 9 is 4 less than 36.
d. 9 is 36 less than 4.

Answers

I believe the answer is B

Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)

Answers

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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use the distributive property to create an equivalent expression.
7(x +2y + 3z)

Pls help

Answers

7 (x + 2y + 3z)

Distribute 7

7x + 7 x 2y + 7 x 3z

Calculate

7x + 14y + 21z should be your answer.

Select all statements that show correct reasoning for finding 15 divided 2/9

Answers

Answer:

B and D

Step-by-step explanation:

If you are dividing by 2/9, that means you are multiplying by 9/2.

This can be split into multiplying by 9 and then dividing by 2, or multiplying by 9 and multiplying by 1/2.

Therefore, B and D work

I need so much help help me please UwU

Answers

Answer:

Line A: y = 3x + 3

Line B: y = -1/3x + 3

Step-by-step explanation:

Line A points: (0, 3) and (1, 6)

Slope:

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

m=(6-3)/(1-0)

m= 3

y - y1 = m(x - x1)

y - 3 = 3(x - 0)

y - 3 = 3x

y = 3x + 3

Line B points: (0, 3) and (9, 0)

Slope:

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

m=(0-3)/(9-0)

m= -1/3

y - y1 = m(x - x1)

y - 3 = -1/3(x - 0)

y - 3 = -1/3x

y = -1/3x + 3

The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.

Answers

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

What is a steeper slope?

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The graphs below show the number of faulty products, y, produced by a company for the first eight months

PLEASE
Describe one difference between the graph of y = nx^2 and the graph of
y = nx^3 for any rational number n.

Answers

Answer:

One difference between the graph of y = nx^2 and y = nx^3 is that the graph of y = nx^3 is steeper than the graph of y = nx^2 near the origin. This is because the power of x is one greater in the equation y = nx^3 than it is in the equation y = nx^2, which means that the rate of change of y with respect to x is increasing more rapidly in the former. As a result, the curve of y = nx^3 will be more curved and will have a steeper slope at the origin than the curve of y = nx^2.

Another difference is that the graph of y = nx^3 will have both positive and negative values for x and y, whereas the graph of y = nx^2 will only have positive values of y for positive values of x. This is because the exponent of x in y = nx^3 is odd, which means that the graph will pass through the origin and change signs as it crosses the x-axis. On the other hand, the exponent of x in y = nx^2 is even, so the graph will only have positive values for y when x is positive.

Step-by-step explanation:

Out of 53 people 24 are men what percentage is men

Answers

Answer: 24% out of 53 people

Step-by-step explanation:

Answer:

45.3% are men

Step-by-step explanation:

I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!

Answers

What’s the question?

Answer: Whats the question? I dont see

Step-by-step explanation:

-25+-(-5)+13 what is the answers

Answers

Answer: -7

this is just simplified. Tell me if I'm wrong

Answer:

-17

Step-by-step explanation:

The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?

Answers

Answer:

176cm

400 times

Step-by-step explanation:

12. ABC-A'B'C' is a reflection. Use this to answer the questions below.

(A) Which figure is the preimage?

(B) Which figure is the images

(C) What are the coordinates of the output?
Input. Output

A(0,9). A

B(-4,4) B

C(0,4). C

Answers

(A) The figure before the reflection is called the preimage. In this case, the preimage is ABC. (B) The figure after the reflection is called the image. In this case, the image is A'B'C'. (C) The outputs for the given inputs are:

Input: A(0,9) Output: A(0,9)

Input: B(-4,4) Output: B'(-8,0)

Input: C(0,4) Output: C(0,4)

(C) The coordinates of the output for each input point can be found by reflecting the input point across the line of reflection. In this case, the line of reflection is the perpendicular bisector of the line segment connecting A and C. For point A, the reflection is itself, so the output is (0,9).

For point B, we can find its reflection as follows: draw the line perpendicular to the line of reflection that passes through B, and find the point where it intersects the line of reflection. This point is the midpoint of the line segment connecting B and its image. The reflection of B is (-8,0), and the output is B'. For point C, the reflection is itself, so the output is (0,4).

Reflection is a type of transformation in geometry where an object is flipped across a line. In this case, ABC was reflected across the line of reflection to form A'B'C'. The line of reflection is the perpendicular bisector of the line segment connecting A and C.

The reflection of a point is the point on the other side of the line of reflection that is equidistant from the line. By applying the reflection rule, we can find the coordinates of the output for each input point.

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4 1/3x + 16 = 2 2/3x + 21

Answers

2.94 would equal the variable of x

how do u solve 3(1 - 3g) = -8g + 14 ?

Answers

Answer:

3 - 9g = -8g + 4

-9g + 8g = 4 -3

g = -1

Which sequence of transformations results in figures that are similar but not congruent

Answers

Answer:

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. The dilation can come at any time.

Step-by-step explanation:

The car salesman tells you that for every $2,000 a car costs, your monthly payment goes up by $45. If you are looking at a car that costs $30,000 how much would your monthly payment be? Just place the whole number not the dollar sign.
27 pts

Answers

Answer:45*15=675 his monthly payment is 675

Step-by-step explanation:It's an easy question to be honest all you have to do is 30,000/2,000=15 and then multiply 45*15=675

I need with help with this question

Answers

Answer:

the answer is 3

Step-by-step explanation:

Ok so since it is a cube root you have to have pairs of three. Since there was three threes that made a pair. Therefore the answer is 3! Is it was just a square root then you would need pairs of 2. Hope this helps!

Find the value of each variable. 2x+11 and 6x-9

Answers

Answer:

x=5

Step-by-step explanation:

2x+11=6x-9

4x=20

x=5

Answer:

Step-by-step explanation:

Because all the angles of the triangle are the same, all the sides are the same. This means that the side that equals 2x+11 is the same length as the side that equals 6x-9. The next step is to make an equation out of these expressions. Because we know they are equal to the same amount, we can write 2x+11=6x-9. The step after that is to separate the variables into one side so we subtract 2x from both sides, and we get 11=4x-9. After that we have to get all the non variables onto one side so we add 9. This gets us the equation 20=4x so we divide 20 by 4 to get 5=x

Therefore the answer to this question is: the variable x equals 5.

Can someone answer these asap

Answers

Second question (find
Total angle on a straight line is 180 °
(3x-28)+90+(66-x)=180
2x + 128 =180
2x = 180 - 128
2x = 52
Divide through by 2
x = 26

(3x-28)+but x=26
[3(26)-28] + (78-28) + 50 +

First Question (find the value of x)

(4x-8)+34+(76-x)=180
3x + 102 =180
3x =180 - 102
3x = 78
Divide through by 3
x=26
Therefore x = 26

Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1

Answers

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]

Answers

$f(x)=x$ for $x\leq0$, therfore $f(0)=0$.

the first domain is true for f(0) so we substitute value of x in the first function

$f(x) = x \\ f(0) = 0$

I need some help pls! I'm getting stuck!

Answers

Answer: 3 pounds.

Step-by-step explanation:

We have two metals:

One that contains 20% nickel, let's call it metal A.

One that contains 80% nickel, let's call it metal B.

We have 6 pounds of metal B, in those 6 punds we have:

0.80*6lb = 4.8lb of nickel.

Now, if we add X pounds of metal A, then we will have:

X + 6lb in total weight.

4.8lb + 0.2*X of nickel.

And we want to have exactly 60% of nickel, so we must have that the quotient between the amount of nickel and the total weight is equal to 0.6

(4.8lb + 0.2*X)/(6lb + X) = 0.6

now we solve it for X:

(4.8lb + 0.2*X) = 0.6*(6lb + X) = 3.6lb + 0.6*X

4.8lb - 3.6lb = 0.6*X - 0.2*X

1.2lb = 0.4*X

1.2lb/0.4 = 3lb = X

We should use 3 pounds of the metal with 20% of nickel.

Question 6
5 pts
What is the distance between two points with coordinates at (-3, 15) and (12, -1)?
16.3
18.4
21.9
025

Answers

It’s 21.9 hope this helps

An Economist consultant needs to forecast the unit cost of a product for the next year. He notes

that each unit of the product requires 10 labor hours and 5 kg of raw material. In addition, each

unit of the product is assigned an overhead cost of ETB 200. He estimates that the cost of a labor

hour next year will be normally distributed with an expected value of ETB 45 and a standard

de useviation of ETB 2; the cost of raw material will be normally distributed with an expected value

of ETB 60 and a standard deviation of ETB 3.

A. Find the distribution of the unit cost of the product.

B. Find its expected value and variance.

Answers

A. The unit cost of the product follows a normal distribution with an expected value of ETB 305 and a standard deviation of ETB 5.

B. The expected value of the unit cost of the product is ETB 305 and the variance is ETB 25.

How do you calculate a standard deviation?

In order to calculate the standard deviation, follow the following steps:

1. Calculate the mean (average) of your data set.

2. For each data point, subtract the mean and square the result (the squared difference).

3. Sum all of the squared differences.

4. Divide the sum by the number of data points. This gives you the variance.

5. Take the square root of the variance to get the standard deviation.

Therefore, the correct answer is as given above

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On examination he is afebrile, with a blood pressure of 160/100 mm Hg, heart rate of 108/min, respiratory rate of 22/min, and oxygen saturation of 88% on room air. He is pale, cool, and diaphoretic. Jugular venous pressure is 10 cm H2O. Chest auscultation reveals rales in both lungs to the mid-lung fields. Cardiac examination reveals tachycardia, with an audible S3 and S4. No murmurs or rubs are heard. Extremities are without edema. The EKG shows left ventricular hypertrophy and Q waves in the anterior and lateral leads, consistent with this patients history of hypertension and myocardial infarction. Chest x-ray film reveals bilateral fluffy infiltrates consistent with pulmonary edema. He is admitted to the ICU with a diagnosis of heart failure and possible myocardial infarction. In a paragraph each, answer the following questions. What are the 4 factors that account for almost all cases of pulmonary edema? Which are probably responsible for this patients pulmonary edema? 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