1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
omeli [17]
3 years ago
6

X to the power of 2 equal 100 how to solve

Mathematics
2 answers:
aleksley [76]3 years ago
6 0
Create the expression:

x^2 = 100

Take the square root of both sides:

x = 10
Bezzdna [24]3 years ago
3 0

Answer: {-10, +10}

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 100, x must equal 10.

Remember however that before you do anything else you must set the equation equal to 0.

So our first step is to subtract 100 from both sides to get x² - 100 = 0. Next, factor the left side to get (x + 10)(x - 10) = 0.

So either x + 10 = 0 or x - 10 = 0.

Solving for x in each equation, we have x = -10 or x = +10.

So our answer is not just 10, it's -10 or +10.

I have also attached my work in the image provided.

You might be interested in
In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the p
LUCKY_DIMON [66]

Answer:

Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)

The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.

Step-by-step explanation:

.

8 0
2 years ago
Write the expression for when you translate the graph of y = |3x− 5| one unit to the right. Plzz help
AfilCa [17]

Answer:

2<x<4/3

Step-by-step explanation:

Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.

Solving the resulting equation

|3x-5| > 1.

Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.

For positive value of the function;

+(3x-5) > 1

3x > 1+5

3x>6

x>6/3

x>2 ... (1)

For the negative value of the function;

-(3x-5) > 1

On expansion

-3x+5 > 1

-3x > 1-5

-3x > -4

Multiplying through by -1 will also change the inequality sign

x < -4/-3

x < 4/3...(2)

Combining equation 1 and 2, we have;

2<x<4/3

6 0
3 years ago
Read 2 more answers
Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all
liubo4ka [24]

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

4 0
3 years ago
Plz answer these 2 i really need help I'm not all that smart
kati45 [8]
Answer: 141.7 cm3

Explanation: you multiple 6.1, 6.7, 10.4 then divide by 3 which equals 141.68. Round it and we’re left with 141.7 cm3.
8 0
3 years ago
Read 2 more answers
Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary.
enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

(4/7)*100=400/7=57.1%

Part 2) Rename .709 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

so

<em>To find the estimate value</em>

21 shoots is about 20

81.25% is about 80%

so

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

<em>To find the estimate value</em>

23.95 is about 24

48% is about 50%

so

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

so

$58.50*(15/100)=$8.78

<em>To find the approximate value</em>

$58.50 is about $60

$60*(15/100)=$9

Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

x=25%

Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

Part 10) Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn?

we know that

$59,000 ------> represent the 100%

using proportion

Find how much money represent 3% of the commission

59,000/100%=x/3%

so

X=$59,000*(3/100)=$1,770

4 0
3 years ago
Other questions:
  • In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that s
    9·1 answer
  • the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop whe
    8·1 answer
  • H+p=4(k−7) for k please answer
    15·1 answer
  • Will someone PLEASE check my answers asap?? will mark a brainliest!!
    8·2 answers
  • **Hello !** I need help to do that algebra homework. I don't really know how that website works, so just tell me how much points
    14·1 answer
  • Which equation represents the relationship between the x-and y-valdies shown in the
    13·1 answer
  • Please help me someone
    10·1 answer
  • The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the n
    9·1 answer
  • Help please?? What do I put for the last 2??
    15·2 answers
  • If the distance between the wall and the bottom of the plywood was three feet, what was the distance between the floor and the t
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!