Mathematics College

Solve by taking the square too of both sides.
3(c+3)^2-81=0

Solve By Taking The Square Too Of Both Sides.3(c+3)^2-81=0

Answers

Answer 1

Answer:

x = -3 ±3sqrt(3)

Step-by-step explanation:

3(x+3)^2-81=0

Add 81 to each side

3(x+3)^2=81

Divide each side by 3

3/3(x+3)^2=81/3

(x+3)^2=27

Take the square root of each side

sqrt ((x+3)^2)=±sqrt(27)

x+3 =±sqrt(9*3)

x+3 =±sqrt(9)*sqrt(3)

x+3 =±3sqrt(3)

Subtract 3 from each side

x = -3 ±3sqrt(3)

Related Questions

−2/3(12c−9)+14c
I need the answer

Answers

Answer:

6c+6

Step-by-step explanation:

-24/3c+18/3+14c

-8c+6+14c

6c+6

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm, find the distance when the weight is 2-kg. round your answer to the nearest whole centimeter.
a. 65 cm
b. 12 cm
c. 0 cm
d. 6 cm

Please select the best answer from the choices provided.
.A
.B
.C
.D

Answers

Answer:

I think it is b

Step-by-step explanation:

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

What is the spring force?

The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,

F ∝ -x

F = - kx

mg = - kx

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,

9g= - k (54)

- g / 6 = k

Then the equation is given as,

F = (g / 6) x

The distance when the weight is 2 kg will be given as,

2g = (g / 6) x

12 = x

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

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HELPPP look at the picture I’m stuck on this

Answers

Answer:

the last graph (D)

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.

Answers

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

Which equation is an identity?

3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2

Answers

Answer:

c. 2x + 3 = 1/2(4x+2)+2

Step-by-step explanation:

Hope this helpss!!

Answer:

2x + 3 = 1/2(4x+2)+2

Step-by-step explanation: on edge

hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains

Answers

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Find the distance between the two points in simplest radical form.
5,9 and -4,-3

Answers

Answer:

gg

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15

Round the number to the place of the underlined digit. 42.76 The rounded number is​

Answers

Answer:

what am i supposed to be rounding to

Step-by-step explanation:

if i was rounding to the tenths it would be 42.8

Which answer choice is equal to −(2÷3)?

Answers

Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

hello please help will give brainliest!

Answers

Answer:

The Answer is D

Step-by-step explanation:

Do what answer D tells you to do. Obviously.

The answer is D.

if you do 280 ÷8, you get 35.

four ponds of banana cost $2.60. what is the cost perpond?

Answers

Answer:

.65c

Step-by-step explanation:

2.60/4 equals .65

Answer:

.65

Step-by-step explanation:

2.06 divided by 4=.65

Hope this helped!

Solve and show your work.

12-[2 + 6 ÷ (10 - 2³)]

Answers

Answer:

7

Step-by-step explanation:

[tex]2^{3} = 8[/tex]  Plug 8 in: 12 - [2 + 6 ÷ (10 - 8)]10 - 8 = 2Plug 2 in: 12 - [2 + 6 ÷ (2)]6 ÷ 2 = 3Plug 3 in: 12 - [2 + 3]2 + 3 = 5Plug 5 in: 12 - 512 - 5 = 7

I hope this helps!

What is 22.16345 rounded to the nearest ten thousandths place?

Answers

Answer:

22.164

Step-by-step explanation:

Answer:

22.1635

Step-by-step explanation:

Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.

A fruit juice box contains 6% juice how is this percent rent as a decimal

Answers

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

10. Solve: 3( 3x + 1)-(4x + 1) = 6x - 3(x+4)
Can’t solve this, any suggestions?

Answers

Answer:-7

Step-by-step explanation:Let's solve your equation step-by-step.

3(3x+1)−(4x+1)=6x−3(x+4)

Step 1: Simplify both sides of the equation.

3(3x+1)−(4x+1)=6x−3(x+4)

3(3x+1)+−1(4x+1)=6x−3(x+4)(Distribute the Negative Sign)

3(3x+1)+−1(4x)+(−1)(1)=6x−3(x+4)

3(3x+1)+−4x+−1=6x−3(x+4)

(3)(3x)+(3)(1)+−4x+−1=6x+(−3)(x)+(−3)(4)(Distribute)

9x+3+−4x+−1=6x+−3x+−12

(9x+−4x)+(3+−1)=(6x+−3x)+(−12)(Combine Like Terms)

5x+2=3x+−12

5x+2=3x−12

Step 2: Subtract 3x from both sides.

5x+2−3x=3x−12−3x

2x+2=−12

Step 3: Subtract 2 from both sides.

2x+2−2=−12−2

2x=−14

Step 4: Divide both sides by 2.

2x /2

=

−14 /2

x=−7

What is the y-intercept of y = 2x + 5

Answers

Answer:

5

Step-by-step explanation:

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)

Answers

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

Please help ASAP
Thank you

Answers

If you are doing same change flip your answers are
A 2
B 4
C 3
D 4 simplified is 2
E 6 simplified is 3

Which statement about -8 and
-12 is true?

Answers

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

HELP!!!

Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.

Speed of runner:
mph

Speed of cyclist:
mph

Answers

Answer:

8 mph and 23 mph

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

Time = 10 hoursDifference in distance = 150 m

We have following equations based on the given

10c - 10r = 150c = 2r + 7

Simplifying first equation

c - r = 15c = r + 15

Comparing this with second equation

2r + 7 = r + 152r - r = 15 - 7r = 8 mph

And finding the value of c

c = 8 + 15 c = 23 mph

3.99 x 10^-2 - 1.5 10^-3


put it in scientific notation

Answers

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

What is the solution set of the equation |2x-9| = -9

Answers

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?

Answers

Answer:

itz 5

Step-by-step explanation:

i took quiz

PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING

Answers

Answer:

180 boxes

Step-by-step explanation:

The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.

7th grade math help me plzzzz

Answers

Answer:

35

Step-by-step explanation:

Answer-
32cm
Hope that helped

Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D

Answers

Answer:

Step-by-step explanation:

you want a line with slope = -1/2

So, using the point-slope form of the line,

y-7 = -1/2 (x+4)

y = -1/2 x + 5

Hard to tell what your choices are ...

Solve for x 2(-4x+2)=28

Answers

Answer:

x=-3

Step-by-step explanation:

Divide both sides by 2, so -4x+2=14

Subtract 2 from both sides, -4x=12

Divide both sides by -4, so x=-3

Answer:

4x2 = 28

Step-by-step explanation:

What does the passage state that people can do if the government fails to protect their rights? stop paying taxes create a new country stop voting in elections create a new government

Answers

Answer:

create a new government

Step-by-step explanation:

hope it helps

The passage suggests that creating a new government can be a suitable option if the existing government fails to protect people's rights.

If the current government fails to defend people's rights, the paragraph argues that forming a new government may be a viable alternative. This option may be explored because it provides the potential to create a system that is more aligned with the ideas and values that people desire in governance.

People may establish a system that prioritizes the protection of rights, assures accountability, and promotes fairness and justice by forming a new government. Individuals may use it to create new laws, rules, and a constitution that represent their chosen ideals and provide greater safeguards for their rights.

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(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials

Answers

Answer: The distributive property.

Step-by-step explanation:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

What is the Distributive Property?

It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.

(a + b)c = ac + bc

The given equation is an example of:

It is given that:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).

We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.

This is a feature of the distributive property. It is called the distributive property of multiplication.

Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

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