1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
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Atilla Tektas - Unit...pdf

Answers

Answer 1

Answer:

2x + 7= 4x + 17

7=2x+17

-10=2x

-10/2=2x/2

x=−5


Related Questions

Can some one help me with this

Answers

Answer:

C) y = 2x + 3

Step-by-step explanation:

In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).

2+2


Help please i really need it

Answers

Answer: 4

Step-by-step explanation:

Patrick is riding his bike on a rectangular path around his city. There is a rest area at each of the path's four corners. The city map shows the corners marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). Each unit represents 2.5 miles.

Answers

Question:

What is the perimeter of the path, in miles?

Answer:

35 miles

Step-by-step explanation:

Given

Let the corners be ABCD

[tex]A = (-2,2)[/tex]

[tex]B = (1,2)[/tex]

[tex]C = (1,-2)[/tex]

[tex]D = (-2,-2)[/tex]

First, we calculate the perimeter of the corners in units.

This is done by calculating the distance between the corners.

Distance is calculated as:

[tex]D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]

For AB:

[tex](x_1,y_1) = (-2,2)[/tex]

[tex](x_2,y_2) = (1,2)[/tex]

[tex]D_1 = \sqrt{(1 - (-2))^2 +(2 - 2)^2 }[/tex]

[tex]D_1 = \sqrt{(1 +2)^2 +(0)^2 }[/tex]

[tex]D_1 = \sqrt{3^2}[/tex]

[tex]D_1 = 3[/tex]

For BC

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

[tex]D_2 = \sqrt{(1 - 1)^2 +(-2 - 2)^2 }[/tex]

[tex]D_2 = \sqrt{(0)^2 +(-4)^2 }[/tex]

[tex]D_2 = \sqrt{16 }[/tex]

[tex]D_2 = 4[/tex]

For CD:

[tex](x_1,y_1) = (1,-2)[/tex]

[tex](x_2,y_2) = (-2,-2)[/tex]

[tex]D_3 = \sqrt{(-2 - 1)^2 +(-2 - (-2))^2 }[/tex]

[tex]D_3 = \sqrt{(-3)^2 +(-2 +2)^2 }[/tex]

[tex]D_3 = \sqrt{9 +0^2 }[/tex]

[tex]D_3 = \sqrt{9 }[/tex]

[tex]D_3 = 3[/tex]

For DA

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (-2,2)[/tex]

[tex]D_4 = \sqrt{(-2 - (-2))^2 +(2 - (-2))^2 }[/tex]

[tex]D_4 = \sqrt{(-2 +2)^2 +(2 +2))^2 }[/tex]

[tex]D_4 = \sqrt{0^2 +4^2 }[/tex]

[tex]D_4 = \sqrt{4^2 }[/tex]

[tex]D_4 = 4[/tex]

The perimeter P in units is:

[tex]P = D_1 + D_2 + D_3 + D_4[/tex]

[tex]P = 3+4+3+4[/tex]

[tex]P = 14[/tex]

Given that:

[tex]1\ units = 2.5\ miles[/tex]

Multiply both sides by 14

[tex]14 * 1\ units = 14 * 2.5\ miles[/tex]

[tex]14 \ units = 35\ miles[/tex]

Hence, the perimeter is 35 miles

Ginger borrowed $550 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three and half years?

Answers

Answer:

44$

Step-by-step explanation:

8% of (550 US$) =

44 US$

Ignore the answer choosing it was was a mistake, please help.

Answers

Answer:

d

Step-by-step explanation:

none of the others equal 0

process of elimination

Item 1
Find the dimensions of the square.

Area = 441 cm²

Answers

Answer:

21 cm by 21 cm

Step-by-step explanation:

The formula for the area of a square is A = x^2, where x is the length of any one side of the square.  Here,

441 cm² = x²

This actually has two roots:  {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.

The dimensions of the square are 21 cm by 21 cm.

What is 3 to the third power divided by 3 to negative 4th power

Answers

Answer:

Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

Step-by-step explanation:

A pool has dimensions of 40m by 20m. We'd like to add a tile path surrounding the pool with a width of 1m all the way around the pool. What's the area of the path?

Answers

the area of the path would me 407 m

Which numbers are rational? Check all that apply. –19 Negative two-fifths 0 StartFraction 4 Over 7 EndFraction 1.091502… 2.89

Answers

Answer:

everything but 1.091502…

Step-by-step explanation:

Brainliest please

Answer:

A,B,C,D,F

Step-by-step explanation:

15 is 30% of what number

Answers

Answer:

15 is 30% of 100 I believe

Answer:

50

Step-by-step explanation:

Hope this answer your question.

Can some one help me pleas

Answers

The second one is correct

A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,

Answers

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?

Answers

Answer:

drivers license do you like that song?

Step-by-step explanation

I got my driver's license last week

Just like we always talked about

'Cause you were so excited for me

To finally drive up to your house

But today I drove through the suburbs

Crying 'cause you weren't around

And you're probably with that blonde girl

Who always made me doubt

She's so much older than me

She's everything I'm insecure about

Yeah, today I drove through the suburbs

'Cause how could I ever love someone else?

And I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

And all my friends are tired

Of hearing how much I miss you but

I kinda feel sorry for them

'Cause they'll never know you the way that I do

Yeah, today I drove through the suburbs

And pictured I was driving home to you

And I know we weren't perfect but I've never felt this way for no one

Oh, and I just can't imagine how you could be so okay now that I'm gone

I guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Red lights

Stop signs

I still see your face

In the white cars

Front yards

Can't drive past the places

We used to

Go to

'Cause I still f- love you, babe

Sidewalks

We crossed

I still hear your voice

In the traffic

We're laughing

Over all the noise

God, I'm so blue

Know we're through

But I still f- love you, babe

I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Yeah, you said forever now I drive alone past your street

Answer:

b

Step-by-step explanation:

Add (-12x+6)+(4x-12)

Answers

Answer:

-8x - 6

Step-by-step explanation:

Combine like terms:  combining -12x + 4x results in -8x, and combining 6 and -12 results in -6.  Thus, we have

(-12x+6)+(4x-12) = -8x - 6

Answer:
-8x - 6

Explanation:
-12x + 4x = -8x
6 - 12 = -6

help bro

Identify the Terms:
3x + 5x + 12 – 3 + 2x

Answers

Answer:

dfadfadsadas

Step-by-step explanation:

rewrite in simplest form (-4x+6y-)-(-9x-8y​

Answers

Answer:

5x + 14y

Explanation:

−4x+6y−(−9x−8y)

Distribute the Negative Sign:

= −4x+6y+−1(−9x−8y)

= −4x+6y+−1(−9x)+−1(−8y)

= −4x+6y+9x+8y

Combine Like Terms:

= −4x+6y+9x+8y

= (−4x+9x)+(6y+8y)

= 5x + 14y

Una fábrica de bolígrafos fabrica sus propios productos en tres colores distintos. 25 de su fabricación son bolígrafos azules, 13 son bolígrafos negros y el resto son bolígrafos rojos. a.- ¿Qué fracción de bolígrafos son bolígrafos rojos? b.- Si en total en un día se han fabricado 2250 bolígrafos ¿ Cuántos se han fabricado de cada color?

Answers

Answer:

a) 4/15

b) 900 bolígrafos azules

750 bolígrafos negros

600 bolígrafos rojos

Step-by-step explanation:

Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.

a) ¿Qué fracción de bolígrafos son bolígrafos rojos?

Deje que el número total de bolígrafos se represente como 1

La fracción de bolígrafos rojos =

1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)

= 1 - (2/5 + 1/3)

El mínimo común denominador es 15

= 1 - (6 + 5/15)

= 1 - 15/11

= 4/15

Por lo tanto, la fracción de bolígrafos rojos = 4/15

b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?

Para bolígrafos azules

2/5 de su fabricación son bolígrafos azules,

= 2/5 × 2250 bolígrafos

= 900 bolígrafos azules

Para bolígrafos negros

1/3 son bolígrafos negros

= 1/3 × 2250 bolígrafos

= 750 bolígrafos negros

Para bolígrafos rojos

4/15 son bolígrafos rojos

= 4/15 × 2250 bolígrafos

= 600 bolígrafos rojos

Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12

Answers

I’m thinking it’s C.

pls help me do these problems. I need them by today.

Answers

Answer:

see below

Step-by-step explanation:

Question 1: D

Question 2: A

Question 3: B

Question 4: B

Question 5: C

Question 6: D

Question 7: A

Question 8: D

A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno

B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4

C. How many days does it take John to spend all his money?

D. How many days does it take Collin to spend all his money?

E. Find the solution to the above system (answer is on ordered pair):

F. At what day does John and Collin have the same amount of money? Day

G. On the day they they have the same amount of money, how much do they each have? _____ dollars


Answers

A Spending
B John 60 ,Collin 80
C 6
D 4
E John (6,60) Collin (4,80)
F Day 2
G $40

Pls help asp here are some points

Answers

Answer:

(the last one)

Step-by-step explanation:

Hi there!

This looks like a diagnostic. I had to take one last week and it was horrible!

Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)

The denominator is the product of negative 8 and x, which can be written as -8x.

I hope this helped!

A hotel currently has 280 rooms. The management company
decides to build a new wing that will increase the capacity to 405
rooms. By what percentage will this expand the capacity of the
hotel? (Round to the nearest tenth of a percent.)

a) 30.9%
b) 44.6%
c) 69.1
d) 125.0%

Answers

Answer:

c = 69.1

Step-by-step explanation:

because if you already have 280 rooms and it will increase to 405 rooms essentially all you have to do is 280/405 and that gives you about 69.1%

i need help finding z and y pls

Answers

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

What is the slope of a line parallel to the line whose equation is x+2y=2

Answers

Step-by-step explanation:

Parallel lines have the same slope.

[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]

[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]

-10(-1/2y+(-7/2)+7y=-25

Answers

Answer:

y = -5

Step-by-step explanation:

-10(-1/2y + (-7/2)) + 7y = -25

Let's first of all expand the bracket to get;

5y + 35 + 7y = -25

12y + 35 = -25

12y = -25 - 35

12y = -60

y = -60/12

y = -5

A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters​

Answers

Answer:

Step-by-step explanation:

(distance) d = (speed) s * t (time)

                    = 55km/h * 12.30m/s

                    = 11.275 km

                    = 11.275 * 1000

                    = 11275m

Manny took a math test. The test started at 12:53 PM, and ended at 1:23 PM. how long did his test last?

Answers

Answer:

Step-by-step explanation:

the test lasted :

23 minutes+7=  30 min

12z;53 =7 min will be 1 pm

A store advertises 15% off an item that regularly sells for $300

what is the price of the item?

Answers

The item would sell for $255 if it had a 15 percent discount

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

I need help with geometry.

Answers

Answer:

x=9

Step-by-step explanation:

AIA's are supplementary 15x+45=180

180-45=130

130/15 = 9

Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?

Answers

Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

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