I Need Help!!

Find the values of x and y that maximize the objective function P=2x+5y for the graph. What is the maximum value?

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.

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:

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.

Answer: The awnser is B

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

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]

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: 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:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

Answer:

d

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: 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:

3960 is the answer

Step-by-step explanation:

Answer:

3960

Step-by-step explanation:

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

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

answer is 3960

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:

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: Vertex is (-7/2, -81/4)

Axis of synmentary is x= -7/2

Directrix is y= -41/2

Step-by-step explanation:

Its on google

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

Answer:

See attached

Step-by-step explanation:

The answer is in below picture

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:

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:

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:

22

Step-by-step explanation:

if a=15

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

Answer:

Please, see the explanation.

Step-by-step explanation:

DETERMINING THE EQUATION FOR THE FIRST TABLE

Given the first table

x                     y

-5                   10

-1                    2

0                    0

11                   -22

From the given equation, we can verify and determine that

[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.

substituting the table values of all the ordered pairs to check

FOR (-5, 10)

y =-2x

10 = -2(-5)

10 = 10

L.H.S = R.H.S

FOR (-1, 2)

y =-2x

2 = -2(-1)

10 = 2

L.H.S = R.H.S

FOR (0, 0)

y =-2x

0 = -2(0)

0 = 0

L.H.S = R.H.S

FOR (11, -22)

y =-2x

-22 = -2(11)

-22 = -22

L.H.S = R.H.S

As all the ordered pairs of the first table satisfy the equation.

Hence, [tex]y=-2x[/tex] is the equation for the first table.

DETERMINING THE EQUATION FOR THE SECOND TABLE

Given the first table

x                     y

-8                   -11

-2                    -5

1                      -2

7                      4

From the given equation, we can verify and determine that

[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.

substituting the table values of all the ordered pairs to check

FOR (-8, -11)

y =x-3

-11 = -8-3

-11 = -11

L.H.S = R.H.S

FOR (-2, -5)

y =x-3

-5= -2-3

-11 = -5

L.H.S = R.H.S

FOR (1, -2)

y = x-3

-2= 1-3

-2 = -2

L.H.S = R.H.S

FOR (7, 4)

y = x-3

4 = 7-3

4 = 4

L.H.S = R.H.S

As all the ordered pairs of the second table satisfy the equation.

Hence, [tex]y = x-3[/tex] is the equation for the second table.

Therefore, the equations are:

[tex]y=-2x[/tex]

[tex]y = x-3[/tex]

Now, let us solve to determine the solution

[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]

[tex]y-x=-3[/tex]

[tex]-[/tex]

[tex]\underline{y+2x=0}[/tex]

[tex]-3x=-3[/tex]

[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]

solving

[tex]-3x=-3[/tex]

[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]

[tex]x=1[/tex]

For [tex]y+2x=0[/tex],  plugin [tex]x = 1[/tex]

[tex]y+2\cdot \:1=0[/tex]

[tex]y+2=0[/tex]

[tex]y=-2[/tex]

Therefore, the solution to the system of equations are:

[tex]y=-2,\:x=1[/tex]

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:

there was a total of 954 people at the pool

Step-by-step explanation:

Answer: 246

Step-by-step explanation:

I've been having some problems too

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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