Two lines, A and B, are represented by the equations given below: Line A: y = x − 6 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (−5, −11), because the point satisfies both equations b (−5, −11), because the point does not lie on any axis c (−3, −5), because the point satisfies one of the equations d (−3, −5), because the point lies between the two axes

r + 4 - 2r + 28 > 0

-r + 32 > 0

32 - r > 0

-r > -32

r < 32

Answer:

mean=9

median=9

range=16

Based on the given information we have;

Mean = 9 miles ​

Median = 9 miles ​

Range = 6 miles

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.

Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8

Mean= 9

The median=9

The range = maximum - minimum

= 6

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Answer:

B 0.625

Step-by-step explanation:

8/8-3/8=5/8

5/8=0.625

Answer:

B

Step-by-step explanation:

First you have to find how much 1/8 is as a decimal, which is 0.125. Multiply 0.125 by 3 to get 3/8 or add it 3 times which gives you 0.375. That knocks out 2 answers already A and C because it's asking how many brownies are left. You can either subtract 0.375 from 1 or you can do an easier way. .075 + 0.25 = 0.1, so it can't be D because it would be over 1 pan of brownies which leaves you with B. B is your answer.

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set the function to 0

-(x + 1)(x - 3)(x + 2) = 0

Divide both sides by - 1

(x + 1)(x - 3)(x + 2) = 0

Split

x + 1 = 0, x - 3 = 0 and x + 2 = 0

Solve for x

x = -1, x = 3 and x = -2

Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set x to 0

f(0) = -(0 + 1)(0 - 3)(0 + 2)

Evaluate

f(0) = 6

Hence, the y-intercept of the function is located at (0,6)

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The length of line segment bc is 3 cm. Thus, the correct option is B.

Perimeter is the sum of the length of the sides used to make the given figure.

Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.

Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.

BC = AC /2 = 6cm /2 = 3 cm

Hence,  the length of line segment bc is 3 cm. Thus, the correct option is B.

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Answer: B (3)

Step-by-step explanation:

The distance between the plane and house 1 is 4899.2 feet

See attachment for illustration of the question, where x represents the distance between the plane and house 1

Start by calculating the angle A using:

A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)

This gives

A = 143.7

The distance x is then calculated using the following sine theorem

a/sin(A) = b/sin(B) = c/sin(C)

Using the parameters in the diagram, we have:

x/sin(18.8) = 9000/sin(143.7)

Multiply both sides by sin(18.8)

x= sin(18.8) * 9000/sin(143.7)

Evaluate

x = 4899.2

Hence, the distance between the plane and house 1 is 4899.2 feet

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Answer: Growth rate of 5.9%

Step-by-step explanation:

Since 1.059>1, it represents growth.

[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]

Answer:

Proportion.

Step-by-step explanation:

Sorry for the late answer! I hope this helps! :)

To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The  angle ∠JHG is found as;

∠JHG = 180°-65°

∠JHG = 115°

The measure of the angle ∠JHG will be 115°.

Hence, option D is correct.

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Answer: 110

Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110

The least value is 1, the greatest value is 7, and the median is 2.

From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.

The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.

Also, by looking at the picture attached, the least value is 1, the greatest value is 7.

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Answer:

Hi,

Step-by-step explanation:

(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8,  8 < 10+7)

(9,4,4) no since 9 is not < 4+4

(2,8,12) no since 12 is not < 2+8

The only answer is (7,10,8)

Answer:

0.75

Step-by-step explanation:

Time = D/S

D = 1.4 km

S = 112km/h

Time = 14/1120

=1/80

1/80 × 60 ( 1 hour =60 s)

=0.75 second

Answer:

2/3(x-6)=6

x-6=6(3/2)

x-6=9

x=9+6=15

A circle is a curve sketched out by a point moving in a plane. The measure of Arc EBC is 220°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Since in the given circle EB is the diameter, therefore, the measure of ∠EOB will be 180°.

Given the measure of ∠BOD is 90°, while the measure of arc DC is 50°. Therefore, the measure of ∠COD is  40°.

Thus, the measure of Arc EBC is the sum of ∠EOD and ∠COD, therefore, the measure of the Arc EBC is 220°

Hence, the measure of Arc EBC is 220°.

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Answer: D

Step-by-step explanation:

Answer:

34 1/2

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

i'm not sure about it, try it i guess

The reduced fraction that represents the sales attained is 17/20

The given parameters are:

Expected = $6000

Attained = $5100

The fraction is represented as:

Fraction = Attained/Expected

So, we have:

Fraction = 5100/6000

Divide by 300

Fraction = 17/20

Hence, the reduced fraction is 17/20

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Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.

Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12

= 3 gallons

The rate at which the car uses gas is:

= Gallons used / Time traveled

= 5 / 2

= 2.5 gallons per hour

The number of hours till he has to stop is:

= (12 gallons - 3 gallons) / 2.5

= 3.6 hours

The time that Leon will stop is:

= 12pm + 3.6 hours

= 12 pm  + 3 hours 36 minutes

= 1536 hours

= 3:36 pm

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The three sides of the triangles are 11 cm, 22cm, and 44cm.

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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Answer:

y=x-4

Step-by-step explanation:

Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)

The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.

Hence, the equation would be y=x-4

Note: I did not have y=1x-4 because 1x is the same as x.

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

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Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.

x=0, y=160m

x=3, y=85m

Dónde:

x=Tiempo

y=velocidad

El primer paso es encontrar el tiempo

Tiempo = (85-160m)/ 3s

Tiempo=-75m/3s

Tiempo=-25 m/s

El segundo paso es crear la ecuación

y =-25x+160

Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.

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The quantity of water was needed to make each cube given the dimensions of the cubes is 8,000 millimeters cubed

Volume of water to make each cube = 20 × 20 × 20

= 8,000 millimeters cubed

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The sum of the prime integers in the list is 10158.

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

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This data should be displayed as a Histogram as there are specified into different ranges.

Bar graphs should be chosen only when they are divided into various categories.

Plot the data's in Histogram format like this (range to range):

Answer:

W(2W-19)

Step-by-step explanation:

let length = L

length= L feet

let Width= W

from the question,

twice the width = 2W

then L = 2W-19

the area of the rectangle

Area= length × width

Area= 2W-19×W

Area= 2W^2-19W

Area= W(2W-19)

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

The absolute value functions that contains the points are:

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

The other option that also contains these 3 points is:

f(x) = |-x| + 2

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

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