MATHEMATICS HIGH SCHOOL

What is the solution of the inequality 9 - x^2 < 0?(a) {x | -3 < x < 3}
(b) {x | x > 3 or x < -3}
(c) {x | x | x > 3}
(d) {x | x < -3}

please show how you got the answer. thank you!

Answers

Answer 1
Answer: 9    -  x²  <  0
-9               -9    to remove 9 deduct it from both sides
      -  x²  < -9
     ÷ -1      ÷-1    to remove the negative sign, divide both sides by -1
         x²  <  9
       √x²  < √9     to remove the exponent of 2, find the square root of both sides.
         x    < 3     Choice A.

To check:

9 -  x²  <  0
9 - 3²   < 0
9 - 9    < 0
0 < 0
Answer 2
Answer: \9-x^2\ \textless \ 0\n3^2-x^2\ \textless \ 0\n(3-x)(3+x)\ \textless \ 0\n\{3-x\ \textless \ 0\ \ \wedge\ \ 3+x\ \textgreater \ 0\}\ \ \ \vee\ \ \ \{3-x\ \textgreater \ 0\ \ \wedge\ \ 3+x\ \textless \ 0\}\n\{-x\ \textless \ -3\ \ \wedge\ \ x\ \textgreater \ -3\}\ \ \ \ \ \ \vee\ \ \ \ \ \{-x\ \textgreater \ -3\ \ \wedge\ \ x\ \textless \ -3\}\n~\ \ \ \{x\ \textgreater \ 3\ \ \ \wedge\ \ \ x\ \textgreater \ -3\}\ \ \ \ \ \ \vee\ \ \ \ \ \ \{x\ \textless \ 3\ \ \ \ \wedge\ \ \ x\ \textless \ -3\}\n~\qquad \qquad \ \ x\ \textgreater \ 3\ \qquad \ \ \ \ \ \vee\ \ \ \ \ \qquad \ x\ \textless \ -3\

The solution is  (b) {x | x > 3 or x < -3}

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Sam Seller offers credit at 19% interest per year. To the nearest tenth, APR =

Answers

Answer:

20.7%.

Step-by-step explanation:

We have been given that Sam Seller offers credit at 19% interest per year.

We will annual percent yield formula to solve our given problem.

APY=(1+(r)/(n))^n-1, where,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year.

Let us convert our given interest rate in decimal form.

19\%=(19)/(100)=0.19

Upon substituting our given values in above formula we will get,

APY=(1+(0.19)/(12))^(12)-1

APY=(1+0.015833)^(12)-1

APY=(1.015833)^(12)-1

APY=1.207450998-1

APY=0.207450998

Let us convert APY in percentage by multiplying our answer by 100.

APY=0.207450998* 100

APY=20.7450998\%\approx 20.7\%

Therefore, the APY is 20.7%.

Answer:

\text{APR}=20.7\%              

Step-by-step explanation:

Given : Sam Seller offers credit at 19% interest per year.

To find : To the nearest tenth, APR ?

Solution :

The formula to calculate the annual percentage rate is given by

\text{APR}=(1+(r)/(n))^n-1

where, r is the interest rate i.e. r=19%=0.19

n is the number of time period for which interest is compounded per month i.e. n=12.

Substitute in the formula,

\text{APR}=(1+(0.19)/(12))^(12)-1

\text{APR}=(1+0.01583)^(12)-1

\text{APR}=(1.01583)^(12)-1

\text{APR}=1.2074-1

\text{APR}=0.2074

Into percentage,

\text{APR}=0.2074* 100

\text{APR}=20.74\%

To the nearest tenth,

\text{APR}=20.7\%

What is the constant rate of change for this

Answers

Answer:

6 times............ I think

A baseball team played 54 games this season. They loss 18 games this season. What is the team's wins to losses ratio

Answers

The ratio would be 2:1 because if there are 18 losses and a total of 54 games, 54-18 is 36 and 36:18 is simplified to 2:1.

What is x squared minus 25 equals 0

Answers

Answer:

its 9 at night gts.

Step-by-step explanation:
5 squared is 25
25 - 25 is 0
So yeah, x = 5

With which information can you construct a unique rhombus?

Answers

it has 4 equal sides, but it can be "squished" so all 4 angles are not equal
4 equal sides or 4 angles r not equal

Find the missing angle.
Round to the nearest whole degree.

Answers

Answer:

θ = 37°

Step-by-step explanation:

The missing angle is θ

cos θ = 4/5

cosθ = 0.8

  • Using a calculator:

cos^(-1)(0.8) = 36.86≈ 37°

so θ = 37°
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