What are the solutions of the equation (x – 8)2 = 144?

Enter your answer as the correct values, separated by a comma, like this: 42,53

If your answer includes a fraction, use the / symbol.
enter it like this: 3/14

Answers

Answer 1

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]


Related Questions

Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100

A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answers

A. ( x+ 10) (x-10)

The rest are false

One-third of the total number of marbles in a jar are red and blue. There are 18 red marbles and 16 blue marbles. How many marbles are in the jar?

Answers

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Find the slope of the line -3.5

Answers

-7/2; it’s negative and 3.5 is 7/2 in fraction form

Javier is saving for a new pair of shoes that costs $59.99. So far, he has saved $22.50. How much more does he need to save? Show work.

Answers

Answer:

hi there user!

The answer is he needs to save $37.49 more

Step-by-step explanation:

59.99 - 22.50 = 37.49

Describe the steps you would take to sketch the graph p(x)=2x^(3)+7x^(2)-3x-18

Answers

Answer:

When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.

So here we have:

p(x) = 2x^(3)+7x^(2)-3x-18

Just let's find the value of p(x) for different values of x, and let's do it.

p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18

Then the point (0, -18) belongs to the graph

p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12

then the point (1, - 12) belongs to the graph.

p(-1) =  2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18  = -2 + 7 + 3 - 18 = -10

then the point (-1, -10) belongs to the graph:

p(2) =  2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 =  20

Then the point (2, 20) belongs to the graph

p(-2) =  2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0

Then the point (-2, 0) belongs to the graph.

p(-3) =  2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0

Then the point (-3, 0) belongs to the graph.

Now that we have 6 points we can graph them and try to connect them.

We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.

Box A is 12 ounces and cost 1.92 box B is 18 ounces and cost 3.42 which box will give Micah more for her money and by how much?

Answers

Answer:

box b 0.03

Step-by-step explanation:

i divided and got 1 ounces each

Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2

Answers

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

Which rule describes the translation PQR – P'Q'R' ?

Answers

Answer:

(x.y)----> (x-3, y-3)

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?

Answers

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

HELP! ILL MARK YOU BRAINLY OR WHATEVER ITS CALLED

Answers

these r all parallelograms
area is base x height
10 x 3.03 = 30.3 yards

4.9 x 6.6 = 32.34 in

5.8 x 9.7 = 56.26 ft

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

The perimeter of the figure below is 71.4 in. Find the length of the missing side.
8.3 in
4.4 in
4.4 in
4.4 in
4.4 in
2.7 in
2.7 in
4.4 in
4.4 in
11.4 in
11.4 in
?

Answers

8.5 inches. Add em up and subtract it from 71.4 you get ur answer

Answer:

8.5

Step-by-step explanation:

The perimeter is the distance around the figure. It can be found by adding up the side lengths of all of the sides of the figure. In this case, one is given the perimeter (71.4), and all of the side lengths except one. Make an equation; call the unknown side (x), then solve for (x).

71.4 = 8.3 + 4.4 + 4.4 + 4.4 + 4.4 + 2.7 + 2.7 + 4.4 + 4.4 + 11.4 + 11.4 + x

Simplify,

71.4 = 62.9 + x

Inverse operations,

8.5 = x

If /|| m, what is the value of X?

Answers

Answer:

43° is correct answer

Step-by-step explanation:

Like me

Answer:

43

Step-by-step explanation:

[tex]x \degree = 43 \degree \\ (corresponding \: \angle s) \\ \therefore \: x = 43 [/tex]

how do I make a box plot

Answers

Answer:

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box

Answer:

this may help

Step-by-step explanation:

A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

The formula for the surface area of a rectangular prism with a square base is SA = 2s2 + 4sh. What is the surface area of this rectangular prism if s = 3 and h = 6?

Answers

Answer:

90

Step-by-step explanation:

Step 1: Given data

Side of the rectangular prism (s): 3

Height of the rectangular prism (h): 6

Step 2: Calculate the surface area (SA) of the base

We will use the following expression, replacing the values for s and h.

SA = 2 × s² + 4 × s × h

SA = 2 × 3² + 4 × 3 × 6 = 90

The units are not provided but the SA should have the same units as s and h, but raised to the power of 2.

There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, what is the probability the student gets two questions correct? Express your answer as a percent rounded to the nearest tenth.

3.8%

18.7%

20.5%

16.9%

Answers

Answer:

[tex]20.5\%[/tex]

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}[/tex],

The [tex]\frac{1}{5}[/tex] represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The [tex]\frac{4}{5}[/tex] represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): [tex]\binom{5}{2}=10[/tex].

Therefore, the probability the student gets two questions correct is:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}[/tex]

I am doing my homework and am completely stumped on this one... help please?


Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answers

Question:

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answer:line symmetry and rotational symmetry; 90°; order 4

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Solve the triangle for all missing sides and angles

Answers

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

I have to factor 14 and 22 to find the greatest common factor​

Answers

Answer: The GCF is 2

Answer:

2

Step-by-step explanation:

Solution by Factorization:

Hope this helps u :D

How many squares will be in figure 10!?

Answers

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)

Solve the expression for a=12 b=6 and c=3

Answers

Answer:

36

Step-by-step explanation:

I did the work on my notebook

Answer:

Step-by-step explanation:

c(a+b)-bc

=3(12+6)-6*3

=36+18-18(plus 18 and minus 18 gets cancel)

=36

Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.

Calculate the price per 20 items.

Write down which shop is the best value in the comment box.

Tisco 5 for £1.80

Azda 4 for £1.40

Answers

Answer:

Tisco

Step-by-step explanation:

NO LINKS!!! WILL REPORT!!!! NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)

x[tex]\sqrt{2[/tex]=4

x=4/[tex]\sqrt{2}[/tex]

x=2[tex]\sqrt{2}[/tex]

find the volume of the following prism..helpppp pleasee!!!​

Answers

Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

find the area of a circle with a radius of 5 ft

Answers

Answer:

2.5 feet bud hope it helps

Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest

Answers

Answer:

13.80 there you go buddy

Review the graph of function j(x). What is Limit of j (x) as x approaches 3?

Answers

Answer:it’s 6

Step-by-step explanation:

The limit of the function J(x) as x approaches 3 is 4.

What is the limit as x approaches 3?

For a function f(x), the limit as x approaches a is equal to the value that the function takes really near the value x = a, and we say that the limit exists only if the value is the same if we approach from x > a and for x < a.

In this case, we can see that:

J(3) = 6

But the limit is not in x = 3, is near it, and we can see that near x = 3, the value of the function is actually 4, then we have:

[tex]\lim_{x \to 3} J(x) = 4[/tex]

So the correct option is the second one.

If you want to learn more about limits, you can read:

https://brainly.com/question/5313449

Find the cosine of 300°. Round your answer to the nearest hundredth, if necessary.
-0.87
-0.5
0.5
0.87

Answers

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

g(x) = х2 — 6x = 12?

Answers

Answer:

amogus

Step-by-step explanation:

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Step-by-step explanation:

y = x + 2

X. Y

3. 5

4. 6

5. 7

6. 8

Based on this table, the graph that best represents the table is the one on the right.

PLEASE HELP

A
B
C
D
???

Answers

The answer for this would be b
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