On a piece of paper, graph y< x + 1. Then determine which answer matches
the graph you drew.

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Answer:

A, C, and D

Step-by-step explanation:

Parent function of y = x will be all linear equations that have the x variable with the exponent equal to one.

Answer:

A, C, and D.

Step-by-step explanation:

the other answer is not correct because i pressed on this to help you because  my teacher actally just tought me that and so she just tought us (my class)

about this and she used this question for an example and she used that other answer and asked which ones where correct and i said A, C, And D.

and guess what? i got it correct! so trust me, you gotta do A, C, and D. i hope that helps you and please mark me brainlist have a nice day.

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Answer:

solution for -4 + 3y = 23

3y = 23+4

3y = 27

y = 9

solution for X - y = -7

X = 1

y = 8

Answer: x = 2; y = 9

[tex]\left \{ {{-4+3y=23} \atop {x-y=-7}} \right.\\\\<=>\left \{ {{3y=27} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Answer:

X=-5

Step-by-step explanation:

√4x+8=x+3

Simplifies to:

2x+8=x+3

Let's solve your equation step-by-step.

2x+8=x+3

Step 1: Subtract x from both sides.

2x+8−x=x+3−x

x+8=3

Step 2: Subtract 8 from both sides.

x+8−8=3−8

x=−5

Answer:

a = 3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

v² = u² + 2as

v = 5

u = 2

s = 7

Step 2: Evaluate

Answer:

The answer to this question is B

Step-by-step explanation:

just believe

Answer:

answer is a

Step-by-step explanation:

5(2)=10+2(7)=24

Answer:

494.46 feet²

Step-by-step explanation:

So the area of one porch floor is

=l×w

=8.2×6.7 feet²

=54.94 feet²

So he paints 9 porch floors

So the exact total area of all the porch floors that Vaughn paints is

=54.94×9 feet²

=494.46 feet²

frist you multiply 1.6 with -4.2

Answer:

140 Presenrs

Step-by-step explanation:

If Santa delivers 420 presents in 15 hours and to get to 5 hours you need to divide 15 to 3, so what you do to one number you must do to the other, so therefore divide 420 by 3 to get 140 presents in 5 hours.

Answer:

A

Step-by-step explanation:

Graph is not a function, so B and D are false.

y = 0 is a horizontal line, not a vertical line, so C is false.

This leaves only A.

Answer:

Line 3

Step-by-step explanation:

Proper solution step-by-step:

1. 3(x-2)=18

2. 3x - 6 = 18

3. 3x = 18 + 6

4. 3x = 24

5. x = 8

Answer:

T = 1     I = 5     R = 40

Step-by-step explanation:

Use cross multiply method or use scientific calculator to find it by shift solve method

Answer:

T= 1

I= 5

R= 40

Step-by-step explanation:

T: 28/7 = 4 so you should divide 7 by 7 to get t

I: 12/4 is 3 so you should divide 20 by 4 to get I

R: 36/9 is 4 so multiply 10 times 4 to get R

Answer:

-2/5

Step-by-step explanation:

hope this helps

Answer:

Dude PDF is not a question

Step-by-step explanation:

3.

=45x-27

=9(5x-3)

4.

=6x+75x²

=3x(2+9x)

17.

22=16+x+3+14+57

5

110=90+x

110-90=x

x=20

Answer:

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

[tex]I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\[/tex]

[tex]\Rightarrow I=0.3(6600-y) \\\\[/tex] [by using (i)]

[tex]\Rightarrow I=1980-0.3y \cdots(ii)[/tex]

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

[tex]C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)[/tex]

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

[tex](1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow  y = 1867.5/0.6225=3000[/tex]

From equations (i),

[tex]x=6600-3000=3600[/tex]

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

Answer:

The school where the donut and coffee day will take place.

The number of boxes of donuts the PTO bought.

The number of cups of coffee the PTO bought.

Answer:

D. 55°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

40° + (y + 30)° + y° = 180°

Step 2: Solve for y

Answer:

y = -3, r = 25/4

Step-by-step explanation:

4r+5y = 10

-1 - 8 = 3y <--- This can be simplified to:

-9 = 3y

-3 = y

Now we plug -3 into y in the first equation

4r + 5y = 10

4r + 5(-3) = 10

4r - 15 = 10

4r = 25

r = 25/4

Answer:

IQR= (16)−(10)=6

Thus, option 'C' is true.

Step-by-step explanation:

Given the data

8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20

The interquartile range is equal to the difference between the 75th and the 25th percentiles

The 25th percentile is 10

The 75th percentile is 16

Finally,

IQR= (16)−(10)=6

Thus, option 'C' is true.

Answer:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Step-by-step explanation:

Hope this helped!

Emmet will walk 1. 6 miles if he makes 4 trips to the park

From the information given, we have that;

It is important to note that proportion is the mathematical comparison of two numbers or elements

If 0. 4 miles is equivalent to 1 trip

Then x miles is equivalent to 4 trips

cross multiply

x = 0 . 4 × 4

Multiply through

x = 1. 6 miles

Thus, Emmet will walk 1. 6 miles if he makes 4 trips to the park

Learn more about proportion here:

https://brainly.com/question/18437927

#SPJ1

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

Answer:

52 degrees

Step-by-step explanation:

the sides are equal

Answer:

52 degrees

Step-by-step explanation:

since each side have one line, they are both equal, which means that x is also 52 degrees

hope this helps

take care