Solve this system of equations by graphing. First graph the equations, and then type the solution.y=5/2x–1y=7/2x–3

Answers

Answer 1

System of equations:

[tex]y=\frac{5}{2}x-1[/tex][tex]y=\frac{7}{2}x-3[/tex]

Using a graphing calculator we can get the graph:

As the point in which both functions meet is (2, 4), then this is the solution.

Answer: (2, 4)

Solve This System Of Equations By Graphing. First Graph The Equations, And Then Type The Solution.y=5/2x1y=7/2x3

Related Questions

What is the decay percentage rate of t h(x) = 20(175)” ?A75%oB.75%Oс25%0D.25%

Answers

Given the function :

[tex]h(x)=20(0.75)^x[/tex]

So, the decay percentage rate :

[tex]\frac{\triangle h}{\triangle x}=0.75[/tex]

convert the decimal to percentage: 0.75 = 75%

So, the answer is option A) 75%

A storage tank has a height of 10 feet and a diameter of 6 feet. The tank is half filled with oil. 6 ft Approximately how much oil, in cubic feet, is currently in the cylindrical tank? A 90 ft B 360r ft3 C 455 Ft D 180rt ft3

Answers

ok

Volume of a cilinder = pi*r^2*h

Substitution

Volume of a cilinder = 3.14*3^2* 6

Simplification

Volume of a cylinder = 170 ft^3

Approximately, there are 180 ft^3 of oil

Museum entrance tickets cost $25. Then each special exhibit a person wishes to visit costs an additional $4. Write an expression that represents the cost to enter the museum and visit any number of special exhibits. Then find the cost for a person to enter and visit three exhibits.

Answers

ANSWER

T = 4x + 25;

T = $37

EXPLANATION

Let the number of special exhibits to be visited be x.

The cost of the musuem entrance ticket is $25 and each special exhibit costs an additional $4.

This means that the cost of cisiting x additional exhibits is:

4 * x = $4x

Therefore, the total cost to enter the musuem and visit any number of special exhibits is:

T = 4x + 25

That is the expression that represents the total cost.

If a person wants to visit three exhibits, it means that:

x = 3

Therefore, the total cost, T, is:

T = 4(3) + 25

T = 12 + 25

T = $37

That is the total cost to enter and visit three exhibits.

solve for g: g - 0.6 < 3.172. ,part c: in one paragraph explain ur work in parts a and b

Answers

Explanation

[tex]g-0.6\leq3.172[/tex]

Step 1

To solve the inequality means to find a range, or ranges, of values that an unknown g can take and still satisfy the inequality.

so

[tex]\begin{gathered} g-0.6\leq3.172 \\ \text{add 0.6 in both sides} \\ g-0.6+0.6\leq3.172+0.6 \\ g\leq3.772 \end{gathered}[/tex]

it means the solution is the set of values equal or smaller than 3.772,so

Part A:

[tex]g\leq3.772[/tex]

Step 2

Part B:the graph of the inequality looks like a marked line in the number line, from3.772 to negative infinite, as the symbol is smaller or equal, the number3.772 is part of the set , so we use a filled circle

Step 3

in step 1 we used the addition property of inequality to isolate x, then in step 2 we draw the set solution .

I hope this helps you

if you have 1/4 cup how many eighths do you have

Answers

U have 2/8 cup……………….

MATHEMATICALLY WE SAY

BE AWARE THAT EIGHTHS IS

[tex] \frac{1}{8} [/tex]

THEY ARE ASKING HOW MANY

[tex] \frac{1}{8} [/tex]

ARE THERE IN

[tex] \frac{1}{4} [/tex]

[tex] = \frac{1}{4} \div \frac{1}{8} \\ = \frac{1}{4} \times \frac{8}{1} \\ = \frac{8}{4} \\ = 2[/tex]

YOU HAVE 2 .

The ratio of boys to girls in Janice's classroom is 3:5, and there are a total of 32 students in the class. Using completesentences, explain how you could draw a tape diagram to represent this situation. In your answer, draw a diagramand make sure to include what quantity each bar represents.

Answers

Teh ratio of boys to girls in JAnice's classroom is 3:5

Total number of students 32

Let the ratio constant is K

So,

The equation will be

3K + 5K=32

8K=32

K=32/8

K=4

So,

the boys will be

4 + 4 + 4 =3K =12

The number of girls will be :

4 + 4 + 4 + 4 + 4 = 5K =20

f(t)= 2t/3 For what value of t is f(x)=64?

Answers

We are given the following function

[tex]f(t)=\frac{2t}{3}[/tex]

We are asked to find out the value of t which results in f(t) = 64

Let us substitute f(t) = 64 into the above function and solve for t

[tex]\begin{gathered} f(t)=\frac{2t}{3} \\ 64=\frac{2t}{3} \\ 3\cdot64=2t \\ 192=2t \\ \frac{192}{2}=t \\ 96=t \\ t=96 \end{gathered}[/tex]

Therefore, the value of t is 96

A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches. Which equation models this? A. 2w + 3 = 96 B. w + 2m + 3 = 96 C. 2(w) + 2(w + 3) = 96 D. 2(w) + 2(2w + 3) = 96

Answers

ANSWER

EXPLANATION

Let the length of the rectangle be L.

Let the width of the rectangle be w.

The length of the rectangle is 3 more than twice the width.

This means that:

L = 3 + (2 * w)

L = 2w + 3

The perimeter of a rectangle is given as:

P = 2w + 2L

The perimeter of the rectangle is 96 inches. This means that:

96 = 2L + 2w

Recall that: L = 2w + 3

=> 96 = 2(w) + 2(2w + 3)

=> 2(w) + 2(2w + 3) = 96

A number when rounded to 3 decimal places, is equal to
0.029

Find the upper and lower bound of
The number

Answers

3-0.029=2.971 this only how I can answer this question

A mother need 6 pieces of ribbon, with lengths of 25 cm each, for her daughter's hair. If the ribbon is only sold per full meter, how many meters does she need to buy?

Answers

Given:

The length of each ribbon is 25 cm.

The number of ribbon need by mother is 6.

Explanation:

Determine the length of ribbon for daughter's hair.

[tex]\begin{gathered} 25\cdot6=150\text{ cm} \\ =1.5\text{ m} \end{gathered}[/tex]

Since length is in decimal so we need to find multiple of 25 such that it is more than 150 and multiple of 100.

The multiples of 25 are 25,50, 75, 100, 125, 150, 175, 200, ...

Since 200 is more than 150 and multiple of 100 also.

Determine the length of 200 cm in terms of meters.

[tex]200\text{ cm}\cdot\frac{1\text{ m}}{100\text{ cm}}=2\text{ m}[/tex]

So mother needs to buy 2 meters of ribbon.

Answer: 2 meters

351,528.094 in word form

Answers

Three hundred fifty-one thousand five hundred twenty-seven and ninety-four thousandths

Evaluate the expression 14-16+8+12\3

Answers

Let's evaluate the given expression:

[tex]\text{ 14 - 16 + 8 + }\frac{\text{ 12}}{\text{ 3}}[/tex][tex]=\text{ 14 - 16 + 8 + 4}[/tex][tex]\text{ = -2 + 8 + 4}[/tex][tex]\text{ = -2 + 12}[/tex][tex]\text{ = 1}0[/tex]

Therefore, the answer is 10.

hwlp
The length of a rectangle is 6 feet more than twice the width. If the perimeter is 132 feet, find the dimensions.

Answers

P = 2L + 2w

Length=

L = 2w + 6

New equation =

P = 2(2w + 6) + 2w

P = 4w + 12 + 2w

P = 12 + 6w

As stated in the question, the perimeter is 132 feet:

So,

132 = 12 + 6w

120 = 6w

W = 20

Now let’s find length using width:

L = 2w + 6

L = 2(20)+ 6

L = 40 + 6

Now we know that

W = 20
L = 46

If a one-person household spends an average of $52 per week on groceries, find the maximum and minimum amounts spent per week for the middle 50% of one-person households. Assume the standard deviation is $14 and the variable is normally distributed. Round your answers to the nearest hundredth.Minimum: $Maximum: $

Answers

Solution

For this case we have the following random variable:

X= amount spend on average for groceries by one person

And we have the following properties:

mean= 52

sd= 14

The distribution of the variable is normal

We can find the middle 50% using a graph like this one:

We can find two quantiles from the normal distribution that accumulates 25% of the area on each tail of the distribution and we have:

Z= -0.674 and 0.674

Now we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma},x=\mu\pm z\cdot\sigma[/tex]

So then we have:

Minimum= 52 - 0.674*14 = 42.56

Minimum= 52 + 0.674*14 = 61.44

Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.)

Answers

The given function for the sales of [tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex], gives the tax rate that maximizes government revenue as t = 343/512

What is a government tax rate?

The tax rate is the percentage of an amount that is paid to the government as tax.

The given function is presented as follows;

[tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex]

Where;

t = The tax rate on imported shoes

S = The total sales

Taking the total sales as contributing to the government revenue, R(t), we have;

Revenue = R(t)

Which gives;

[tex]R(t) = t \times (7 - 6 \cdot {t}^{ \frac{1}{3} }) [/tex]

At the maximum total sales, we have;

[tex] \frac{dR(t)}{dt} = \frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 0 [/tex]

[tex]\frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 7- 8 \cdot \sqrt[3]{t} = 0[/tex]

Which gives;

At maximum revenue, t = (7/8)³

t ≈ 0.669921875

The tax rate that maximizes the government revenue is t = 343/512

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Latoya opened a savings account and made an intial deposit. After the intial deposit, she added money into the account each week she added the same amount each week with out any withdrawals after the forth week she had $450 by the ninth week she had $825 what was latoya's intial deposit?

Answers

She made an initial deposit that we will call "D", as it is one of the unknowns.

We know that she made a weekly deposit (lets call this amount "w").

After 4 weeks she had $450 in the account balance and this is the sum of the initial deposit and 4 weekly deposits, so we can write:

[tex]D+4w=450[/tex]

At the ninth week she had $825, that correspond to the initial deposit and 9 weekly deposits. This can be written as:

[tex]D+9w=825[/tex]

We have a system of linear equations that we will solve by elimination: we will substract the first equation from the second and then find w.

[tex]\begin{gathered} (D+9w)-(D+4w)=825-450 \\ 5w=375 \\ w=\frac{375}{5} \\ w=75 \end{gathered}[/tex]

Now that we know "w", we can calculate D with any of the two equations:

[tex]\begin{gathered} D+4w=450 \\ D+4\cdot75=450 \\ D+300=450 \\ D=450-300 \\ D=150 \end{gathered}[/tex]

Answer: the initial deposit was $150.

Find the area of the circle pictured above. Round your answer to the nearest tenth in^2

Answers

Area of the circle is 28.3 in^2

Here, we want to find the area of the circle

Mathematically, the area is;

[tex]\begin{gathered} \text{Area of circle = }\pi\text{ }\times r^2 \\ But\text{ r = }\frac{d}{2} \\ \\ Area\text{ of circle = }\frac{\pi\text{ }\times d^2}{4} \\ \\ from\text{ the question, d = 6 inches} \\ \pi\text{ = }\frac{22}{7} \\ \\ \\ \text{Area of circle = }\frac{\frac{22}{7\text{ }}\text{ }\times6^2}{4} \\ \\ \text{Area of circle = }\frac{22\text{ }\times\text{ 36}}{28} \\ \\ \text{Area of circle = 28.2857} \\ \\ \text{Area of circle = 28.3 in\textasciicircum{}2} \end{gathered}[/tex]

Y varies inversely with the square of x. When x=4, then y=3. Find y when x=2

Answers

Answer:

y = 6

Step-by-step explanation:

y= [tex]\frac{1}{x}[/tex]

3 = [tex]\frac{1}{4}[/tex]k  Solve for k by multiplying both sides by 4

12 = k

y = [tex]\frac{1}{2}[/tex](12)

y = [tex]\frac{12}{2}[/tex]

y= 6

Which of the following ordered pairs represent a direct variation. Find the missing value. 1. (32, 80) and (x, 100) x = _____ 2. (-28,-7) and (20, y) y = _____

Answers

When having an ordered pair, we say they are in direct variation if the quotient:

[tex]\frac{y}{x}[/tex]

is constant. For case 1 we have:

[tex]\frac{80}{32}=\frac{100}{x}[/tex]

we can solve for "x" by multiplying by "x" on both sides:

[tex]\frac{x80}{32}=100[/tex]

Now we multiply by 32/80 on both sides:

[tex]x=\frac{100\times32}{80}[/tex]

Solving the operations we get:

[tex]x=40[/tex]

For case 2 we have:

[tex]-\frac{7}{-28}=\frac{y}{20}[/tex]

Now we solve for "y" by multiplying by 20 on both sides:

[tex]\frac{-7\times20}{-28}=y[/tex]

Solving the operations:

[tex]y=5[/tex]

1-9.b.C.GROWING, GROWING, GROWING, PART ONECopy the tile pattern shown below onto graph paper.Figure 2Figure 3Figure 4Draw the 1st, 5th, and 6th figures on your paper.How is the pattern changing?What would the 100th figure look like? How many tiles would it have?How can you justify your prediction?

Answers

Answer:

Explanation:

a) To draw the 1st , 5th and 6th figures, we need to know the count of squares

For the first figure, we would have 3 squares

The fifth figure would have 35 squares

The sixth figure will have 48 squares

The way to get this is to add 2 to the odd number difference between the last two terms

b) Here, we want to know how the pattern is changing

From the information provided, the first pattern has 8 squares, the second has

15 squares while the last has 24 squares

We can have a formula as follows:

[tex][/tex]

Find the probability.When a single card is drawn from an ordinary 52-card deck, find the probability of getting a heart.A) 1/13B) 1/4C) 1/26D) 1/52

Answers

The probability of getting a red 7 would be; 1/26

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given that the total number of cards is 52.

WE are asked to find the he probability of getting a red 7

Since there are 2 red 7 cards in the deck of cards.

So, the number of favourable outcomes would be 2.

n (E) = 2

The probability

P(E) = n (E) /n (S)

Therefore, the probability of getting a red 7 will be;

P(E) = n (E) /n (S)

P(E) = 2/52

P(E) = 1/26

Hence, The probability of getting a red 7 would be; 1/26

Learn more about probability here;

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Help me! i need this answer now i am so dead. if i get it worng please help help please

Answers

Answer:

70.4

Step-by-step explanation:

c = 2[tex]\pi[/tex]r

c = 2(3.142)(11.2)

c = 70.3808  Rounded to 1 decimal place

c = 70.4

Answer:
70.4

Explanation:

Circumference = 2 (3.142) radius

Circumference = 2 x 3.142 x 11.2

Circumference = 70.3808

Round ur answer to 1 d.p:
=70.4

There are 9 athletes at a track meet. How many different ways can they finish first'orsecond?

Answers

For the first place, we have 9 different options from the athletes, then for the second place, we would only have 8 different options, therefore, there are 9x8=72 ways they can finish first or second

PLEASE HURRY

What is an equivalent expression for −12(8a − 7b) + 8(4x + 3y)?

Answers

Answer:

-96a + 84b + 32x + 24y

Step-by-step explanation:

if you simplify an answer then it is equivilent to the beggining equation

hope this helped:)

Prove that 3x + y = 7 + y and 3(x + y) = 2 + 3x are perpendicular

Answers

Answer:

Since one line is vertical, and one line is horizontal, the lines are perpendicular.

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1.

We find the slopes of the 2 lines and multiply them together.

If the product equals -1, then the lines are perpendicular.

To find the slopes of the lines, we write each equation in the y = mx + b form, where m is the slope. In other words, we solve each equation for y.

3x + y = 7 + y

Subtract y from both sides.

3x = 7

x = 7/3

This is not the y = mx + b form since there is no y in the equation. A line with equation x = k, where k is a number, is a vertical line that passes through the point (k, 0), and the x-coordinate of all points on the line is k.

3(x + y) = 2 + 3x

3x + 3y = 2 + 3x

Subtract 3x from both sides.

3y = 2

y = 2/3

y = 0x + 2/3

Slope = m = 0

A line with 0 slope is a horizontal line.

Since one line is vertical, and one line is horizontal, the lines are perpendicular.

The circumference of a circle is 67 inches. What is the area in
terms of π ?

Answers

A = 4489/(4π)

If we look at the equations for circumference and area (of a circle), we see that they both share the variable “r”. Therefore, we can solve for r in the circumference equation and insert it into area equation. Evaluate to find the answer.

See details:

help meeeeeee pleaseee !!!!

Answers

So, we are writing a function. c(x) is the manufacturing costs, and x is the amount of bikes manufactured. The y-intercept is 1908 because when no bikes are manufactured it still costs 1908 to run the factory. The slope is 75 because it costs $75 to create a bike. So, y = mx + b, where m is the slope and b is the y-intercept is:

c(x) = 75x + 1908

Use the graph to answer the following questions.how much does the cost of cheese and crease for each ounce Milan buys? What is the slope of the line?

Answers

The graph given is a linear graph,

so that means that the cost of cheese is linearly related to the weight of cheese bought.

The increase in the cost of cheese increase for each ounce Milan buys is, therefore, the slope of the graph;

to find the slope of the graph, we use any two points on the line; i'll be using (4,96) and (2,48)

[tex]\text{slope}=\frac{96-48}{4-2}=\frac{48}{2}=24[/tex]

This means that the cost of cheese increases by 24 cents for each ounce Milan buys.

Select all of the expressions equivalent to (m + m)(-4.2m).

Answer choices
2m(-4.2m)
-4.2m³
-2.2m²
4.2m²+4.2m²
-4.2m²+(-4.2m²)
-8.4m²​

Answers

Answer:

2m(-4.2m)

-4.2[tex]m^{2}[/tex] + - (4.2[tex]m^{2}[/tex])

-8.4[tex]m^{2}[/tex]

Step-by-step explanation:

2m(-4.2m) = -8.4 [tex]m^{2}[/tex]

-4.2 [tex]m^{2}[/tex] + (-4.2 [tex]m^{2}[/tex]) = 8.4[tex]m^{2}[/tex]

Write the equation for f(x) and g(x). Then identify the reflection that transforms the graph of f(x) to the graph of g(x).

Answers

Given the figure of the functions f(x) and g(x)

The graph of the function is the shown lines

The equation of f(x):

As shown the line of f(x) passes through the points: (-2, 0) and (0, -1)

The slope of the line will be:

[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{0-(-2)}=\frac{-1}{2}[/tex]

The y-intercept = -1

so, the equation of f(x) =

[tex]f(x)=-\frac{1}{2}x-1[/tex]

The equation of g(x):

As shown the line of g(x) passes through the points: (-2, 0) and (0, 1)

The slope of the line will be:

[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-(-2)}=\frac{1}{2}[/tex]

The y-intercept = 1

So, the equation of g(x) will be:

[tex]g(x)=\frac{1}{2}x+1[/tex]

Identify the reflection that transforms the graph of f(x) to the graph of g(x).

As shown, the functions are symmetric around the x-axis

And as we can see for the same value of x: g(x) = -f(x)

So, the type of transformation is: Reflection over the x-axis

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