Question 1 (1 point)
(05.06)
Which of the following points lie in the solution set to the following system of inequalities? (1 point)

y < −3x + 3
y < x + 2

a
(1, −5)

b
(1, 5)

c
(5, 1)

d
(−1, 5)

HELP PLEASE

Answers

Answer 1

Answer:

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Step-by-step explanation:

We need to find the points that lie in the solution set to the following system of inequalities

[tex]y<-3x+3\\y<x+2[/tex]

We will check each option to identify if they satisfy the given set of inequalities or net.

Option A (1,-5)

We have x=1, y=-5

Putting values and checking

[tex]\\y<-3x+3\\-5<-3(1)+3\\-5<0 \ (true)\\y<x+2\\-5<1+2\\-5<3 \ (true)[/tex]

So, Option A is correct as both values satisfy the given set of equations

Option B (1,5)

We have x=1, y=5

Putting values and checking

[tex]y<-3x+3\\5<-3(1)+3\\5<0 \ (false)\\y<x+2\\5<1+2\\5<3 \ (false)[/tex]

So, Option B is not correct as both values doesn't satisfy the given set of equations

Option C (5,1)

We have x=5, y=1

Putting values and checking

[tex]y<-3x+3\\1<-3(5)+3\\1<-15+3\\1<12 \ (true)\\y<x+2\\1<5+2\\1<7 \ (true)[/tex]

So, Option C is correct as both values satisfy the given set of equations

Option D (-1,5)

We have x=-1, y=5

putting values and checking

[tex]y<-3x+3\\5<-3(-1)+2\\5<3+2\\5<5 \ (false)\\y<x+2\\5<-1+2\\5<-1 \ (false)[/tex]

So, Option D is not correct as both values doesn't satisfy the given set of equations

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)


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1 pound of apple is $1.88
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Answer:

Before 1845, “states were allowed to hold elections any time they pleased within a 34-day period before the first Wednesday in December.” What was one effect of this election system?

Voters in states with late elections knew the results of early elections.

Farmers were often unable to get to their polling place in time to vote.

The people who voted first could decide the outcome of most elections.

People spent less time in church because they would often travel to vote on Sundays.

Step-by-step explanation:

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

(–4, 2)
(–2, 4)
(2, 4)
(4, –2)

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Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?

Answers

Answer:

You did not give any options

Step-by-step explanation:

But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.

All but the first answer choice could be the length and width of a rectangle.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangle has an area of 20 square centimeters.

WE know that The area of the rectangle = length × Width

3 cm and 8 cm = 24 cm^2

This cannot be area of the given reactangle.  

1 cm and 20 cm = 20 cm^2.  

This is the area of the given reactangle.  

2 cm and 10 cm => 20 cm^2

This is the area of the given reactangle.  

4 cm and 5 cm  => 20 cm^2.  

This is the area of the given reactangle.  

All but the first answer choice could be the length and width of a rectangle.

The complete question is

Which of the following could be the rectangle’s length and width?

1. 3 cm and 8 cm = 24 cm^2

2. 1 cm and 20 cm = 20 cm^2.  

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4. 4 cm and 5 cm  => 20 cm^2.  

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The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p

Answers

Answer:

the correct option id D.

h = 4.2 − p

h = 2p

The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The hardcover version of a book weighs twice as much as its paperback version.

And, The hardcover book and the paperback together weigh 4.2 pounds.

Now,

Let the hardcover book weight = h

And, the paperback together weigh = p

Hence. We get;

h + p = 4.2

h = 4.2 - p

And, The hardcover version of a book weighs twice as much as its paperback version.

Hence, We get;

⇒ h = 2p

Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

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Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.

Answers

Answer:

-34

Step-by-step explanation:

7x + 8

7(-6)+8

-42+8

-34

Have a beautiful day!   v(⌒o⌒)v

f(x)=7x+8; x=-6
f(-6)=7(-6)+8
f(-6)=-34

Plzzz help its due by 12

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Answer:

THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Simplify 4(2x-3) 7th grade math

Answers

Answer:

8x-12

Step-by-step explanation:

Answer:

8x-12

Step-by-step explanation:

[tex]4(2x-3)[/tex]

Expand

[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]

What is 1 2/3 equal to
What is 6 3/4 equal to
What is -9 7/3 equal to
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Answers

Answer:

1 2/3 = 5/3

6 3/4 = 27/4

-9 7/3 = -34/3

4 2/7 = 30/7

Step-by-step explanation:

Write an equation for the line in the given form.

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Answers

Answer:

Y =5x + 12

Step-by-step explanation:

You start with

y-8=5x(x+4)

y=5x+ 12

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

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I NEED IT URGENtLY

Answers

Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

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Answers

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Step-by-step explanation:

4x9=36

4x4=16

36.16

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Answers

Answer:

Step-by-step explanation:

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An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?

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Answer:

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Step-by-step explanation:

explanation if wanted

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

Write in expanded form.​

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Answer:

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Step-by-step explanation:

Solve each system by graphing or using a table. Check your answers.
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Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

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And if the second one is wrong, then it's y = x + 2.

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Step-by-step explanation:

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5(11+7)

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Step-by-step explanation:

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Answers

Answer:

Cubed

Step-by-step explanation:

You can think of it as the volume of a cube where the volume is x to the third power ([tex]x^{3}[/tex], let x = side of the cube) to help you remember. This also goes the same for x to the second power (squared) where it can represent the area of a square which is x².

Hope this helps :)


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Answers

Answer:

203/11x

Step-by-explanation: I am soo very sorry gave you the wrong answer before but going over it I see it is 203/11x

12y=5x-15
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Round to the nearest hundredth.
X=
Y=

Answers

Answer:

-15 and 11

Step-by-step explanation:

this is due soon plz help

Answers

Answer:

tre made an error when adding  or subtracting. the answer is 05

Simplifying

3.57x + 1.61 = 4.71 + -2.63x

Reorder the terms:

1.61 + 3.57x = 4.71 + -2.63x

Solving

1.61 + 3.57x = 4.71 + -2.63x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.63x' to each side of the equation.

1.61 + 3.57x + 2.63x = 4.71 + -2.63x + 2.63x

Combine like terms: 3.57x + 2.63x = 6.2x

1.61 + 6.2x = 4.71 + -2.63x + 2.63x

Combine like terms: -2.63x + 2.63x = 0.00

1.61 + 6.2x = 4.71 + 0.00

1.61 + 6.2x = 4.71

Add '-1.61' to each side of the equation.

1.61 + -1.61 + 6.2x = 4.71 + -1.61

Combine like terms: 1.61 + -1.61 = 0.00

0.00 + 6.2x = 4.71 + -1.61

6.2x = 4.71 + -1.61

Combine like terms: 4.71 + -1.61 = 3.1

6.2x = 3.1

Divide each side by '6.2'.

x = 0.5

Simplifying

x = 0.5

3.8:(4c+3)=2: 2 2/19
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Answer:

the answer will be be 0.25 for decimal but for a fraction it would be 1/4

Answer:

0.25 is the answer :D

PLEASE HELP ASAP!!!!!!!!!!!
Find the equation of the line between ( -8, 2) and ( -4, 1)

Answers

Answer:

point slope form---> y-2=1/4(x- -8)

slope intercept form---> y=1/4x+4

Step-by-step explanation:

i didnt know which equation you were asking for

Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C

Answers

Answer:

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

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

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

What is slope of perpendicular lines?

Lines that are perpendicular lines have slopes that are negative reciprocals.

It is given that the points,

[tex]$A=\left( -5,2 \right)$[/tex]

[tex]$B=\left( 7,-2 \right)$[/tex]

[tex]$C=\left( -2,5 \right)$[/tex]

[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.

So,

By the definition, the slope or gradient of a line describes its steepness, incline, or grade.

[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].

Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.

So,

Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]

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

So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].

so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].

[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,

[tex]y=mx+b[/tex]

Here,

[tex]y=5[/tex]

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

We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.

So,

[tex]$5=-\frac{1}{3}\left( -2 \right)+b$[/tex]

[tex]$5=\frac{2}{3}+b$[/tex]

Subtract [tex]\frac{2}{3}[/tex] both side.

So,

[tex]$b=\frac{13}{3}$[/tex]

So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,

[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Hence,

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

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A bell tower that is 60 yards tall casts a shadow 32 yards long. If a nearby windmill is
45 yards tall, how long will the windmill's shadow be?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

24 yards long

Step-by-step explanation:

60/32 = 45/x

Cross Multiply:

60x = 1440

Divide both sides by 60.

x = 24 yards

I dont need the work, just the answers :)

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The answer is square root 117

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Answer:

It smells soooo good, I love it, but sadly i am not allowed to get it XD

Step-by-step explanation:

Answer:

KIND OF BUT THE BEST ONE IS WARM VANILLA SUGAR AND GLOW I THINK AND VELVET SUGAR I HOOKED YOU UP

Step-by-step explanation:

If you can’t see it , it says ... Bella Amman is a sales consultant. She travels all over the country selling her company’s products. Her total monthly expenses for June , July, and August were $4,356.01 , $9,011.20 , and $8,780.00 . What was her average monthly expenditure?
A. $7,382.40
B. $6,565.00
C. $8,090.25
D. $22,147.21

Answers

Answer:

A.) $7832.40

Step-by-step explanation:

9,011.20+8,780.00+4,356.01

=22,147.21/3

=7382.40

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