Mathematics Middle School

Write a system of equations that matches the graph
shown.

Answers

Answer 1

Answer:

no te pases de bago

ednenjnjnjnnjnjnjnjnenjdnjendjen

Step-by-step explanation:

Answer 2

The system of equations that matches the graph is

x + y = 2
3x - y = 1

What is the system of equations

From the question, we are to write a system of equations for the two straight lines shown

To do this, we will pick two points on each line

Red line:

(0, 2) and (2, 0)

Using the formula,

y - y1 / x - x1 = y2 - y1 / x2 - x1

(y - 2) / (x - 0) = (0 - 2) / (2 - 0)

Simplifying

(y - 2) / x = -2 / 2

(y - 2) / x = -1

y - 2 = -x

Thus,

x + y = 2

Blue line:

(1, 1) and (0, -2)

Using the formula,

y - y1 / x - x1 = y2 - y1 / x2 - x1

(y - 1) / (x - 1) = (-2 - 1) / (0 - 1)

Simplifying

(y - 2) / (x - 1) = -3/ -1

(y - 2) / (x - 1) = 3

y - 2 = 3(x - 1)

y - 2 = 3x - 3

Thus,

3x - y = -2 + 3

3x - y = 1

Hence,

The system of equations is

x + y = 2
3x - y = 1

Related Questions

____ numbers are useful in solving math problems with money

Answers

Answer:

Step-by-step explanation:

Decimal numbers

Answer:

Real

Step-by-step explanation:

What is the value of quartile 2 (Q2)? 4.7

2.3

3.0

0
Help fast will mark as brainleist

Answers

Answer:

[tex]Q_{2}[/tex] = 3.0

Step-by-step explanation:

[tex]Q_{2}[/tex] represents the median of the data set.

From the box plot the median is the horizontal line inside the box and is positioned at 3.0

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.

Answers

Answer:

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%. Find the balance after 5 years if itcompounded yearly

Answers

Answer:

The balanced amount is $3130.25.

Step-by-step explanation:

Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.

To find : The balance after 5 years if it compounded yearly ?

Solution :

Using compound interest formula,

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

Where, P=$2500 is the principal

r=4.6%=0.046 is the interest rate

t=5 years

Substitute the values,

[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]

[tex]A=2500(1.046)^{5}[/tex]

[tex]A=2500\times 1.2521[/tex]

[tex]A=3130.25[/tex]

Therefore, the balanced amount is $3130.25.

Solve -2/3n<16 which of the following must be true about the inequality and the resulting graph? Select three options.
A. n < -24
B. n > -24
C. The circle is open
D. The circle is closed
E. The arrow points right.

Answers

Answer:

n > -24 The circle is open. The arrow points right.

Step-by-step explanation:

To solve for n, divide both sides by -2/3.

When you divide an inequality by a negative number, reverse the inequality.

Here < becomes >.

Dividing by a fraction is done by multiplying by its reciprocal.

16 ÷ -2/3 becomes 16 × -3/2. That's -24.

The open circle means not equal to.

n is all the numbers greater than -24, so the arrow points right.

Answer: b d e

Step-by-step explanation:

which of the following equations could be used to determine the value of X

Answers

Answer:

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

Answer:

Step-by-step explanation:

We can make each part of the problem into a expression, and combine them.

Part 1: A picture frame that normally costs $x is discounted by 3.

x-3

Part 2: I decided to purchase 4 of the discounted picture frames

4(x-3)

You are buying 4, and each costs x-3.

Part 3: The total cost of the four frames, excluding tax, is $27.

4(x-3)=27

two people were doing yard work for 1 hour and 35 minutes then they stopped for lunch at 1:20pm at what time did they start doing yard work?

Answers

Answer: The answer would be at 11:45.

Step-by-step explanation: First I though, if they stoppedd for lunch at 1:20 and they've been doing yard work for 1 hour and 35 minutes, I would subtract. 1 hour taken away from 1:20 would be 12:20. Then, since it would be hard to subtract 35 minutes from 12:20, 35 minutes - 20 minutes = 15 minutes. 12:20 subtract 20 minutes = 12:00. 12:00 - 15 minutes equal to 11:45. I hope this helps. I know this explanation can be confusing but it's the best I can do at the moment.

Which are solutions of the equation 4x2 - 7x = 3x + 24? Check all that apply.
0
x=
-4
0
x=-3
0
w
0
x=
w/N
0
x=2
0
x = 4

Answers

Answer:

all work is shown and pictured

Write 9855 in expanded form

Answers

Answer:

9,000+800+50+5

Step-by-step explanation:

nine thousand eight hundred fifty five

solve for x. log 10x=5.7

Answers

Answer:

0.57

Step-by-step explanation:

10x0.57=5.7

Write an equation in slope-intercept form of the line with the given parametric equations,
x = 8t+3
y= 9t+3

Answers

The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Step-by-step explanation:

Given,

x = 8t+3

y= 9t+3

First, convert both the equations in terms of t for comparison.

x = 8t + 3

x - 3 = 8t

t = [tex]\frac{x-3}{8}[/tex]

Similarly,

y = 9t + 3

y - 3 = 9t

t = [tex]\frac{y-3}{9}[/tex]

Now, comparing both equations

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

9x -27 = 8y -24

9x - 3 = 8y

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

Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

The restaurant bill was $28 after tax. If you wanted to leave a 8% tip, how much should you leave total?

Answers

I think the top choice would be the correct answer.

If AB = 9, RS = 3, and SC = 5, find BC.
A) 5
B) 10
C) 13.5
D) 15

Answers

Answer:

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values

[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

Answer:

BC=15, so D

Step-by-step explanation:

First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.

Lengths 3 and 9 are rational. 1:3. Since they're rational, the triangles are a set of dilations. Because of this, ALL the sides of the triangles are rational. If all the sides are rational by 1:3, which they are, then we can just multiply SC by 3. By doing this, we get the length of BC. Thus, the length of BC is 15.

I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.

Function- f(x)=-x^2+4x+6
What is the positive difference between the maximums of functions g and f?

Answers

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

The positive difference between the maximums of functions g and f is 2

What is the positive difference between the maximums of functions g and f?

From the question, we have the following parameters that can be used in our computation:

f(x) = -x² + 4x + 6

So, the x of the vertex is

x = -4/2 * -1

x = 2

So, the maximum is

Max = -2² + 4(2) + 6

Max = 10

From the graoh, we have

Max = 12

So, we have

Difference = 12 - 10

Difference = 2

Hence, the positive difference is 2

Answers

Answer:

El valor de x es igual a 20 o x = 20.

Step-by-step explanation:

Lo primero que se debe saber es que dos ángulos complementarios suman un ángulo recto o 90º.

Supongamos que el valor de un ángulo [tex] \\ \alpha[/tex] y un ángulo [tex] \\ \beta[/tex] valen:

[tex] \\ \alpha = 2x + 10[/tex] [1]

[tex] \\ \beta = x + 20[/tex] [2]

Como la suma de [tex] \\ \alpha + \beta = 90[/tex] [3]

Entonces

[tex] \\ \alpha + \beta = (2x + 10) + (x + 20) = 90[/tex]

Sumamos los factores comunes entre si:

[tex] \\ (2x + x) + (10 + 20) = 90[/tex]

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

[tex] \\ (2 + 1)x + (10 + 20) = 90[/tex]

[tex] \\ 3x + 30 = 90[/tex]

Para despejar la incógnita x, debemos tener en cuenta que una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

[tex] \\ 3x + 30 - 30 = 90 - 30[/tex]

[tex] \\ 3x + 0 = 90 - 30[/tex]

[tex] \\ 3x = 60[/tex]

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por [tex] \\ \frac{1}{3}[/tex] ):

[tex] \\ \frac{3}{3}x = \frac{60}{3}[/tex]

Como sabemos que:

[tex] \\ \frac{3}{3} = 1[/tex]

Entonces:

[tex] \\ 1*x = \frac{60}{3}[/tex]

[tex] \\ x = \frac{60}{3}[/tex]

[tex] \\ x = 20[/tex]

De esta manera, el valor de x es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

[tex] \\ \alpha = 2x + 10[/tex] [1]

Sustituimos x por el valor de 20:

[tex] \\ \alpha = 2*20 + 10 = 40 + 10 = 50[/tex]

[tex] \\ \beta = x + 20[/tex] [2]

Hacemos lo mismo para [2]:

[tex] \\ \beta = 20 + 20[/tex]

[tex] \\ \beta = 40[/tex]

De esta manera:

[tex] \\ \alpha + \beta = 90[/tex] [3]

[tex] \\ 50 + 40 = 90[/tex]

Trevor took big steps to find the length of the shadow of the big pine tree infront of the school

Answers

Trevor a very smart guy than

The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.

To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.

Let's denote:

[tex]- $ S_t $[/tex] as the length of the shadow of the tree,

[tex]- $ H_t $[/tex] as the height of the tree,

[tex]- $ S_b $[/tex] as the length of the shadow of the building, and

[tex]- $ H_b $[/tex] as the height of the building.

From Trevor's estimates:

[tex]- $ S_t = 48 $[/tex] feet,

[tex]- $ S_b = 18 $[/tex] feet, and

[tex]- $ H_b = 24 $[/tex] feet.

We can set up a proportion to solve for [tex]$ H_t $:[/tex]

[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]

Substituting the given values:

[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]

Cross-multiplying:

[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]

[tex]\[ 18H_t = 1152 \][/tex]

[tex]\[ H_t = \frac{1152}{18} \][/tex]

[tex]\[ H_t = 64 \][/tex]

Therefore, the big pine tree is approximately 64 feet tall.

The complete question is:

EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?

what is -26.1235+8.75(-48.375)

Answers

Answer:

449.40475

Step-by-step explanation:

This is actually quite simple.

all you have to do is follow order of operations-pemdas!

Answer:

The answer is -449.40475.

1)
The aquarium shown has a capacity of 16.8 gallons of water.

How many quarts of water will the aquarium hold? (to a tenth of a quart)
A) 4.2 gallons
B) 33.6 quarts
C) 67.2 quarts
D) 134.4 quarts

2)
How many pints of water will the aquarium hold? (to a tenth of a pint)
A) 33.6 pints
B) 67.2 pints
C) 134.4 pints
D) 268.8 pints

Answers

Answer:

Both are C.

Step-by-step explanation:

16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.

Final answer:

To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).

Explanation:

The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:

16.8 gallons × 4 quarts/gallon = 67.2 quarts

Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:

16.8 gallons × 8 pints/gallon = 134.4 pints

Which statements are true regarding the area of circles and sectors? Check all that apply.
The area of a circle depends on the length of the radius.
The area of a sector depends on the ratio of the central angle to the entire circle.
The area of a sector depends on pi.
The area of the entire circle can be used to find the area of a sector.
The area of a sector can be used to find the area of a circle.

Answers

Answer:

A, B, D, E

Step-by-step explanation:

Got it right on edge

The area of a circle depends on the length of the radius.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

Area of a circle = π * radius²

Area of a sector = (central angle / 360) * π * radius²

Hence:

The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.

Find out more on circle at: https://brainly.com/question/24375372

plz help Which statements are true about the circle shown below? Select three options.

A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.

Answers

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

Things that we must know about circles:

We know that for a circle of diameter D:

The radius is half the diameter, so R = D/2The circumference is pi times the diameter, so C = pi*DThe area is pi times the radius squared: A = pi*R^2

So our circle of diameter of 8cm has:

Radius R = 8cm/2 = 4cmCircumference C = pi*8cm = 3.14*8cm = 25.12cmArea A = pi*(4cm)^2 = pi*16cm^2

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

If you want to learn more about circles, you can read:

https://brainly.com/question/11833983

hope some of ya'll can help meee

Answers

Answer:

A= -2,-5

B= -4,-2

C= -2,0

D= 0,-2

Step-by-step explanation:

Your answer is incorrect.
The diameter, D, of a sphere is 16.8 cm. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V=
?

Answers

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

6.77 times 7 times 7.4

Answers

Answer:

350.686

Step-by-step explanation:

6.77 times 7 times 7.4= 350.686

Robin can bake 140 cupcakes in 5 hours.
a. At this rate, how many cupcakes does she
bake per hour? (Per means one, which is a
clue that you need to find the unit rate.)

Answers

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

Answer: Per hour, Robin makes 28 cupcakes.

Step-by-step explanation:

To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.

(Vote me brainliest answer please)

The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volume for the prism?

Answers

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]

Therefore, the volume for the triangular prism is 40.5 cubic inches.

The volume of the triangular prism is 81 cubic inches.

To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches

So, the volume of the triangular prism is 81 cubic inches.

21. Given below are lease terms at the local dealership.
Terms:
• Length of lease = 36 months
• MSRP of the car = $22,500
• Purchase value of the car after lease = $17,500
• Down payment = $1999
• Monthly payment = $425
• $475 security deposit
• $500 acquisition fee
What is the total cash due at signing (including the first monthly payment)?

Answers

Answer:

you're answeris $3,399

Answer:

3,399

Step-by-step explanation:

16
Which choices show the ratio of the area of the smaller rectangle to the area of the larger rectangle? Select three options.

Answers

Answer:

The options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]

Step-by-step explanation:

Given that a large rectangle has a length of 16 and width of 12.

A smaller rectangle has length of 4 and width of 3

To show the ratio of the area of the smaller rectangle to the area of the larger rectangle:

we know that "If two figures are similar, the the ratio of its areas is equal to the scale factor squared"

From the given scale factor is [tex]\frac{1}{4}[/tex]

Let z be the scale factor

Let x be the area of the smaller rectangle

Let y be the area of the large rectangle

[tex]z^2=\frac{x}{y}[/tex]

Since scale factor is [tex]\frac{1}{4}[/tex] hence [tex]z=\frac{1}{4}[/tex]

we have [tex]z^2=(\frac{1}{4})^2[/tex]

[tex]=\frac{1}{16}[/tex]

∴ [tex]z^2=\frac{1}{16}[/tex]

Now show that the ratio of the area of the smaller rectangle to the area of the larger rectangle with each options.

a) [tex]\frac{4}{16}[/tex]

[tex]\frac{4}{16}=\frac{1}{4}[/tex]