Rewrite the sum of 12 and 8 as a product of the LCM of the two numbers and another sum.​

Answer: B) No, every x-value does not have exactly one y-value

Explanation:

We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.

Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.

Answer:

x = 46

Step-by-step explanation:

This is basic trigonometry, so we can apply this procedure...

- The total sum of all angles in a triangle is 180 (no angle should be more than 180, this is the limit) and we only need to know just one angle labeled as x, this is represented as:

130 + 96 + x = 180

x = 130 + 96 - 180

- Now we just need to obtain x:

x = 130 + 96 - 180

x = 226 - 180

x = 46

Answer:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

Answer:

22

Step-by-step explanation:

if a=15

then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22

Answer:

when dividing fractions folow these steps:

first, you need to switch the denom and num of the second fraction:

3/4 ÷ 1/3---> 3/4 ÷ 3/1

Next you just switch the sign of the negative to a multiplication sign and multiply:

3/4 ÷ 3/1---> 3/4 x 3/1

3/4 x 3/1 -----> 9/4

9/4, 2 1/4 - these are your answers. Either are correct

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

Answer:

The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Step-by-step explanation:

We are given:

Future value (A)=$25,000

Rate r =8% (0.08%)

Time t = 9

Compounded Annually n =1

We need to find:

Principal Amount (P) = ?

The formula used will be:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding Principal Amount (P)

[tex]A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }[/tex]

So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Answer:

Mixed number: 6 1/100

Improper Fraction: 601/100

Step-by-step explanation:

Hope this helps!

Answer:

Mixed number: [tex]6\frac{1}{100}[/tex]

Improper fraction: [tex]\frac{601}{100}[/tex]

Step-by-step explanation:

A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.

[tex]6.01[/tex] can be written in the from [tex]\frac{601}{100}[/tex]. This is an improper fraction since the numerator is greater than the denominator.

The mixed number is [tex]6\frac{1}{100}[/tex] since [tex]100[/tex] goes into [tex]601[/tex] six full times with [tex]1[/tex] as the remainder.

Hope this helps :)

Answer:

See attached

Step-by-step explanation:

The answer is in below picture

Answer:

there was a total of 954 people at the pool

Step-by-step explanation:

Answer: 246

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

hope this helps

5x = x + 44 - 4

5x = x + 40

5x - x = 40

4x=40

x=40/4

x = 10

Answer:

solving the inequality we get [tex]x < 14[/tex]

Step-by-step explanation:

We need to solve the inequality A number times two is less than 20 + 8

Let the number be x

The inequality will be:

2x < 20+8

Now solving the inequality to find the value of x

[tex]2x < 20+8\\2x < 28\\x<\frac{28}{2}\\x<14[/tex]

So, solving the inequality we get [tex]x < 14[/tex]

In figure a I am attaching the number line for solution.

In figure b I am attaching the graph for solution.

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

Given:

Find:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

Solution:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

Your working is correct, but incomplete. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

Answer:

(2).

Step-by-step explanation:

We have the expression:

[tex]\displaystye{\ln(\displaystyle{\frac{\sqrt{e}}{y^3})}[/tex]

First, we can use the difference property of logarithms:

[tex]\ln(x/y)=\ln(x)-\ln(y)[/tex]

Hence, this is equivalent to:

[tex]=\ln(\sqrt{e})-\ln(y^3)[/tex]

We can rewrite the left as:

[tex]=\ln(e^\frac{1}{2})-\ln(y^3)[/tex]

Now, we can use the power property:

[tex]\ln(a^b)=b\ln(a)[/tex]

Essentially, we move the exponent to the front.

Hence, this yields:

[tex]=\frac{1}{2}\ln(e)-3\ln(y)[/tex]

The natural log of e is simply 1. Hence:

[tex]=\frac{1}{2}-3\ln(y)[/tex]

Combine fractions:

[tex]\displaystyle{=\frac{1}{2}-\frac{6\ln(y)}{2} \\ =\frac{1-6\ln(y)}{2}}[/tex]

Hence, our answer is (2).

Answer:

Work shown below!

Step-by-step explanation:

[tex]\frac{14}{3}[/tex]   ÷   [tex]\frac{4}{1}[/tex]  = [tex]\frac{14}{3}*\frac{1}{4} = \frac{14}{12}=\frac{7}{6}[/tex]

Answer:

the correct answer is 1 1/6

I've been having some problems too

:/

Answer:

The line has a slope of zero which means the line is a horizontal line.

Step-by-step explanation:

Given that:

The two points are (-3,2) and (4,2)

Slope of a line is given by the formula,

[tex]m = \frac{Rise}{Run} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Here,

[tex]x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2[/tex]

Putting these values in formula;

[tex]m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0[/tex]

Hence,

The line has a slope of zero which means the line is a horizontal line.

Answer:

d

Step-by-step explanation:

Answer: The awnser is B

Step-by-step explanation: ive went over the problem and checked

Answer:

[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]

Step-by-step explanation:

Given the expression

[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]

solving the expression

[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]

             [tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]

              [tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]

The multiply fractions are defined as

[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

so the expression becomes

                [tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]

                [tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]

                [tex]=\frac{3^3}{2^2x^9y^8}[/tex]

Refining

                 [tex]=\frac{27}{4x^9y^8}[/tex]

Therefore,

[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]            

Answer: Peak Point offers the better deal.

Step-by-step explanation:

To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so

$275.60/5 days

and $174.75/3 days.

Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.

Answer:

-0.399

Step-by-step explanation:

f^-1(1024)=(2*1024-2/5)^-1= 0.000488

f(0.000488)=2*0.000488-2/5= -0.399

Answer:

f(-5) = 35

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 10

f(-5) is x = -5

Step 2: Evaluate

Answer: 7 3/4

Step-by-step explanation:

From the question, we are informed that Steven has 10 1/4 pages of homework and that he finishes 2 1/2 pages every ten minutes.

The number of pages that Steven will have left after 10 minutes will be:

= 10 1/4 - 2 1/2

= 7 3/4

He'll have 7 3/4 pages left

Answer:

The GCF of 47 and 17 is 1

Step-by-step explanation:

Answer:

3960 is the answer

Step-by-step explanation:

Answer:

3960

Step-by-step explanation:

...........................

...........................

answer is 3960

Answer:

Step-by-step explanation:

[tex]y=-x^2+4x+5\quad \implies\quad a=-1\,,\ b=4\,,\ c=5\\\\h=\dfrac{-b}{2a}=\dfrac{-4}{2(-1)}=2\\\\k=c-\dfrac{b^2}{4a}=5-\dfrac{4^2}{4(-1)}=5-\dfrac{16}{-4}=5+4=9[/tex]

Or by completing the square:

[tex]y=-x^2+4x+5\\\\y=-(x^2-4x)+5\\\\y=-(\underline{x^2-2\cdot x\cdot 2+2^2}-2^2)+5\\\\y=-\left((x-2)^2-4\right)+5\\\\y=-(x-2)^2+4+5\\\\y=-(x-2)^2+9\quad\implies\quad h=2\,,\ k=9[/tex]