How can you write and solve equations and inequalities.

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

9.

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]

Answer:  

Simplify the expression.

− 3 x² +  4 x l  + 9

Answer:

7

Step-by-step explanation:

The answer turns out to be 7

Answer:

We need to perform a multiplication.

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is:

3

So most likely C.

Answer:

3xy(2xy2+3y3−4x2)

Step-by-step explanation:

Answer:

0-t-14

Step-by-step explanation:

Its the first one I don't want to type

Answer:

9. 3

10,1

Step-by-step explanation:

Answer:

Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y

Step-by-step explanation:

Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y

Answer:

12 letters

Step-by-step explanation:

Answer:

[tex]x+7<-3[/tex]

Step-by-step explanation:

Sum = +

Less than = <

Merge all together accordingly you get ;

[tex]x +7<-3[/tex]

If you solve the equation , you will get;

x<-10

Answer:

real, rational

Step-by-step explanation:

The set to which the fraction 5/8 belongs to are real numbers and rational numbers.

A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are 1, 0, - 1, 5/8.

To learn more about rational numbers, please check: https://brainly.com/question/20435423

#SPJ2

Answer:

-1/7

Step-by-step explanation:

8 - 9x -6-5x =4

2-14x = 4

-14x = 2

x = -1/7

Answer:

Question: The Relative Frequencies For A Set Of Data Are Shown In The Table Below. Value Relative Frequency 1 0.15 2 0.10 3 0.45 4 0.30 If There Are A Total Of 20 Data Values, With What Frequency Does The Data Value 3 Occur?

Step-by-step explanation:

Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

Answer: The value of x is 20

Step-by-step explanation:

The angles are vertical angles so they have to equal each other in other to solve for x.

(x + 40) = 3x          

x + 40 = 3x     subtract x from both sides

-x            -x

40 = 2x     Divide both side by 2

x= 20

Answer:

Emily will contribute $24 and Anna will contribute $96

Step-by-step explanation:

From the given information:

Let Emily's salary be x

and let Anna's salary be 4x since Anna's salary is four times Emily's salary.

They were to share the cost of a $120 gift card.

SO, x+4x = 120

5x = 120

x = 120/5

x = 24

Therefore, Emily will contribute x = $24

and Anna will contribute 4x = 4 × $24  = $96

Answer:

3 = D

4 = I

6 = G

7 = J

8 = B

9 = A & C

10 = H

Step-by-step explanation:

[tex]\sqrt{12}[/tex] is an irrational number

Step-by-step explanation:

According to Boyle's law,

[tex]$ V \propto \frac{1}{P} $[/tex]

or  [tex]$ V = \frac{k}{P} $[/tex]     , where k is the proportionality constant

Given that volume is 360 cubic feet and the pressure is 46 psi.

Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives

[tex]$ 360 = \frac{k}{46} $[/tex]

(360)(46) = k

k = 16560

Answer:

Step-by-step explanation:

2x + 3y - x - 9

x + 3y - 9

Answer:

no

Step-by-step explanation:

-7 is bigger

Answer:

no, its less

Step-by-step explanation:

because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers

Answer:

1%

Step-by-step explanation:

To find the percent increase, take the difference over the original amount

1.31/ 117.96

.011105459

Change to percent form

1.110545948%

To the nearest percent

1%

Find common denomianators.

1/4 = 5/20

1/10 = 2/20

Add.

5/20 + 2/20 = 7/20

Therefore, the answer is 7/20.

Best of Luck!

Answer:7/20

Step-by-step explanation:first you have to find the common denominator which is twenty. Since 4x5 is 20 you multiply the 1 by five and get 5/20.

Then since 10x2 is 20 you have to muliply

1x2 and you get 2/20. Then you and 5/20 and 2/2o and you get 7/20

Answer:

9?

Step-by-step explanation:

just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while

Answer:

es 0.225 ... I believe so

Answer:

False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.

The given statement is False

The following information should be considered:

[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]

based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.

Learn more: https://brainly.com/question/1605083?referrer=searchResults

Problems a through c are asking you what the values would be at those values.

What will the value of [tex]f(x)[/tex] be at [tex]x=0[/tex]? Let's look at the graph.

It seems at [tex]x=0[/tex], [tex]f(x)=0[/tex], meaning that [tex]f(0)=0[/tex]

Let's do the same for the others.

At [tex]x=-3[/tex], [tex]f(-3)=2[/tex]

At [tex]x=2[/tex], [tex]f(2)=-4[/tex]

For the last question, it is giving us the [tex]f(x)[/tex] value and asking us which [tex]x[/tex] values would give us that.

At [tex]f(x)=3[/tex], [tex]x=-2[/tex].

*Note* this function is continuous to the right, meaning that there is another point where [tex]f(x)=3[/tex].

Hope this helps.

頑張って!

Step-by-step explanation:

f{g(x)}

= -x²+2

now,

(fog)(3)= -3²+2