Please help me figure out how to solve functions

You can only graph a system of linear equations.

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]

Calculate 3 squared:

[tex]3^2 = 9[/tex]

Now, substitute these values back into the original equation:

[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]

To add these fractions, you need a common denominator. In this case, the common denominator is 9:

1/9 + 81/9 = (1 + 81)/9 = 82/9

So, the solution to the equation is 82/9.

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Complete question is:

Solve the equation: (1/3)^2 + 3^2 =

Answer:

Step-by-step explanation:

If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:

[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:

[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.

[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get

[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:

[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is

[tex](-\frac{1}{3},-\frac{25}{3})[/tex]

Answer:

payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income

Answer: The new payment after the initial fixed-rate period is much higher

than the homeowner expected.

Step-by-step explanation: took the quiz.

Answer:

C.

Step-by-step explanation:

The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.

Answer:

C. Neither type offers benefits unless you suffer a loss.

Step-by-step explanation:PLATO

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

Answer:

24 square cm

Step-by-step explanation:

Answer:

48cm

Step-by-step explanation:

Because 6 times 8= 48cm

Answer:

what is it's perimeter?

Answer:

b

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Answer:

[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]

Answer:

See answers to parts a and b below.

Step-by-step explanation:

A. Value: y=20+.20x

Best Rent y=30+.10x

B. 20+.20x=30+.10x make equations equal each other by subbing y values.

.10x=10 simplify equation

x=100

check answers by subbing 100 for x in each equation.

y=20+.20(100)

y=20+20

y=40

y=30+.10(100)

y=30+10

y=40

Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.

Answer:

t=3

Step-by-step explanation:

Heres why i think t=3

Replace the T in 3t+2

3x3+2

9+2=11

11=5t-4

Now Replace the t again by 3

5x3-4

15-4

11

11=11

T=3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

2 + 4 = 5t - 3t

6 = 2t

6/2 = 2/2t

t = 3

if this helps you, please mark brainliest!

Answer:

I think the answer is The x-intercept of the boundary line is (-3/2,0).

Step-by-step explanation:

the x-intercept of boundary line is (-3,0)

Step-by-step explanation:

hope it helps thanks❤

Answer:

B. a = 3

Step-by-step explanation:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a + 3 = 24

7a + 3 - 3 = 24 - 3

7a = 21

7a ÷ 7 = 21 ÷ 7

a = 3

Answer:

B

Step-by-step explanation:

Given

4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side

4a + 3a + 3 = 24

7a + 3 = 21 ( subtract 3 from both sides )

7a = 21 ( divide both sides by 7 )

a = 3 → B

Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

Step-by-step explanation:

In the second step while opening the bracket, instead of 'a', there should be - 4a.

Answer:

From Step 2 every step is wrong

Step-by-step explanation:

Ste p 1 : 3a - 5b = 12 - 4(b + a)

Step 2 : 3a - 5b = 12 - 4b - 4a      [ Last term instead - 4a she\he wrote + a ]

Step 3 : 7a  - 5b = 12 - 4b

Step 4 : 7a = 12 + b

[tex]Step 5 : a = \frac{12 + b}{7}[/tex]

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

Answer:

A= πr²

A=3.14*5*5

A=78.5cm²

Step-by-step explanation:

everything can be found in the picture

Answer:

w = - (7/2) z

Step-by-step explanation:

5w + 9z = 2z + 3w

Subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = - (7/2) z

Answer:

C

Step-by-step explanation:

Difference means subtraction. That makes B incorrect.

D is wrong because we have no way of knowing if g and h are squares.

A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.

That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.

Answer:

C

Step-by-step explanation:

Answer:

The width is [tex]82m[/tex]

Step-by-step explanation:

------------------------------>>>>

The formula to find the area of a rectangle is [tex]A=lw[/tex]

We already know the area of the rectangular field which is [tex]7626m[/tex]

We already know the length is [tex]93m[/tex]

--------------->>>>

Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.

[tex]7626=93w[/tex]

Divide both sides by 93 because that's the opposite of multiplication.

[tex]82=w[/tex]

--------------->>>>

This means that the width of the rectangular field is [tex]82m[/tex]

Hope this is helpful

Answer:

RM =20

Step-by-step explanation:

Find the diagram of the parallelogram attached

From the diagram, GP = PA

8x = 2x+18

8x - 2x = 18

6x = 18

x = 18/6

x = 3

Since RM = 2RP

RM = 2(x+7)

RM = 2(3+7)

RM = 2(10)

RM =20

Hence the length of RM is 20

Answer:

A,D

Step-by-step explanation:

Answer:

Answers: A and E ✡

- - Why?

Well a mathematical sentence needs to have something to equal to.

In this case for a we have

=10 and for d =16.

Step-by-step explanation:

Answer:

Max E=3.8 Voltage

Step-by-step explanation:

[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]

The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).

We are asked to find the maximum voltage E that can be obtained from the circuit.

The voltage E = 3.8cos(110π t).

In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.

Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

When the variable attains the maximum value = 1, the value of the voltage E  = 3.8*1 = 3.8.

∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

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Answer:

a) [tex]\=x=36.4inches[/tex]

b) [tex]Median=22[/tex]

c) [tex]Mode=18[/tex]

d) [tex]The\ Mean[/tex]

Step-by-step explanation:

From the question we are told that:

Depths:

18 inches,

20 inches

26 inches

22 inches

85 inches

18 inches

24 inches

Sample size [tex]n=7[/tex]

Summation of all depths

 [tex]\sum d=18+20+26+22+85+18+24[/tex]

 [tex]\sum d=255[/tex]

a)

Generally the equation for Mean is mathematically given by

 [tex]\=x=\frac{\sum d}{n}[/tex]

 [tex]\=x=\frac{255}{7}[/tex]

 [tex]\=x=36.4inches[/tex]

b)

Generally the Median is given by the Middle Number which is

 [tex]Median=22[/tex]

c)

Generally the Mode is given by the Highest occurring Number which is

 [tex]Mode=18[/tex]

with two appearances

Therefore

d)

The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is

 [tex]The Mean[/tex]

commas and capital letters

Answer:

[tex]P(Cheese) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]Cheese = 36[/tex]

[tex]Pepperoni = 64[/tex]

[tex]Veggie = 20[/tex]

Required

[tex]P(Cheese)[/tex]

This is calculated as:

[tex]P(Cheese) = \frac{Cheese}{Total}[/tex]

[tex]P(Cheese) = \frac{36}{36+64+20}[/tex]

[tex]P(Cheese) = \frac{36}{120}\\[/tex]

[tex]P(Cheese) = 0.30[/tex]

Answer:

5/7 or 0.71 is the answer

Answer:

45 inches

Step-by-step explanation:

Create a proportion where x is the perimeter of the smaller triangle:

[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]

Cross multiply and solve for x:

5x = 225

x = 45

So, the perimeter of the smaller triangle is 45 inches