How do I solve y= -3x + 21 -2x +3y = 8 by substitution?

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

substitute the y  equation into -2x +3y =8 and you will get 5 as the solution :)


Related Questions

find the slope of the graph​

Answers

Answer:

It's undefined. x=4

Step-by-step explanation:

It’s undefined a undefined slope is a line that goes straight up and down

A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?

Answers

Answer:

115

Step-by-step explanation:

|8|+|-7| its 15 right?​

Answers

Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

Step-by-step explanation:

Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:

The standard deviation decreases.

The mean increases.

The median decreases.

The range increases.

Answers

Answer:

Standard deviation decreases and mean increases

Step-by-step explanation:

The test scores are:

42, 72, 74, 78, 80, 80, 85, 88, 92

Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77

Median is 5th term which is 80

Range is highest score - lowest score = 92 - 42 = 50

Standard deviation from an online calculator gives 13.69

Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.

Thus,the new set of scores are;

72, 74, 78, 80, 80, 85, 88, 92

New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125

New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80

New Range = 92 - 72 = 20

New Standard deviation from an online calculator gives 6.39

From the comparison above when the outlier is removed, we can say that;

- Mean increases

- remains the same

- Range decreases

- standard deviation decreases

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

Answers

Answer:

A. [tex] PR = 80.6 yd [/tex]

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

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

[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]

[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]

[tex] PR = \sqrt{4,900 + 1,600} [/tex]

[tex] PR = \sqrt{6,500} [/tex]

[tex] PR = 80.6 yd [/tex] (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs

$1.56
$2.19
$7.80
$4.68

Answers

to buy 3 packs, the cost would be $4.68

3x−8−12x=42
what is x?

Answers

Answer:

x = -50/9    

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 8 - 12x = 42

Step 2: Solve for x

Combine like terms:                    -9x - 8 = 42Isolate x term:                              -9x = 50Isolate x:                                        x = -50/9          

I need help with this 70―10=―10+40

Answers

Answer:

I got 90

Please correct me If I am wrong Please and Thank You

Step-by-step explanation:

Combine like terms 70 and 10 which will be 60

and Combine like terms  and you get 30

Then you add 60+30= 90

Answer: 60=30

Step-by-step explanation:

70-10= -40=10

  60  =    30

What is the rule for reflecting across the x-axis?​

Answers

Answer:

See below

Step-by-step explanation:

If we want to reflect across x-axis, we'll change the y-coordinate of the        co-ordinate to it's opposite (If it's negative, it will become positive and vice versa) while the x-coordinate will remain the same.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Mr. Stip bought a new pair of Jordans and 4 new polo shirts. The price of one pair of jordans were double the amount of one polo shirt. If Mr. Stip spent $510, determine the price he paid for the Jordans.

Answers

9514 1404 393

Answer:

  $170

Step-by-step explanation:

If the price of a pair of Jordans is the same as the price of two shirts, the total purchase has a value equivalent to that of 3 Jordans.

  pair of Jordans = $510/3 = $170

Answer:

$170

Step-by-step explanation:

Just some simple fraction problems, I am stuck on this though.

Answers

Answer:

5 1/6 ÷ 4 2/3 = 31/28

3 3/4 ÷ 1 2/8 = 3

4 2/4 ÷ 2 1/4 = 2

5 2/5 ÷ 1 4/5 = 3

4 2/8 ÷ 3 2/4 = 17/4

3 3/9 ÷ 2 4/12 = 10/7

7 1/2 ÷ 3 3/5 = 25/12

6 2/8 ÷ 3 1/3 = 15/8

Explanation:

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14

if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)

Answers

Answer:

i think its -10

Step-by-step explanation:

hope im not wrong

You are giving a rectangle with dimensions of: length = 60 inches and width = 4j. The perimeter of the rectangle is 400 inches. What is the values of j?

Answers

Answer:

perimeter is sum of all four sides; two of which are '4j' and other two are 60 inches each

Step-by-step explanation:

P= 2(4j) + 2(60)

We know perimeter is 400 inches

400 = 8j + 120

8j = 280

j = 35

Write this fraction in an equation using words: 2/3

Answers

Answer:

two-thirds plus five=five and two-thirds

Step-by-step explanation:

Two divided by three

Which equation has the solution x = 5?

Answers

Answer:

I think this is right 5 is x=30

Step-by-step explanation:

4 is a because 2x=6 can simple to x=3

and 5 is x=30

Who has
✨ A n x i e t y ✨

Answers

Answer:

yupyup

Step-by-step explanation:

been having it for years now

What is another way to express 48 + 32?

(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)​

Answers

Answer:d

Step-by-step explanation: tufryvztgv

Answer: Its B. not D the other person was off and probably doesn’t know how to math lol

When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

Answer:

100%

Step-by-step explanation:

There is a 50% chance of getting heads, and 50% chance of getting tails.

If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.

derivative of (a^x/Log a)?​

Answers

[tex]\large\bold{\underline{\underline{To \: \: Differentive:-}}}[/tex]

[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]

(OR)

[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]

[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]

[tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]

(Linear differentiation)

[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]

[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]

[tex]\boxed{\sf{=a^x}}[/tex]

[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]

✭ Linear differentiation

→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]

✭ Exponential function rule

→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

i really need help asap

Answers

answer is d (-3,1) hope i helped:)

Answer:

D (-3, 1)

Step-by-step explanation:

(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in slope intercept form

Answers

Answer:

y = (7/3)x - 9

Step-by-step explanation:

1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3

2. Equation of new line --> y = (7/3)x + b

Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.

3. Plug in given values --> 5 = (7/3)(6) + b

4. Solve for b --> b = 5 - 14    b = -9

5. New line --> y = (7/3)x - 9

Find the value of x.
17
14

Answers

x= 3 is the answer to this question

Which expression can be simplified to find the slope of the trend line in the scatter plot?

D is 8-2
78-87

Answers

It can be simplified to B because it is in slope formula y-y over x-x hope this helps

(B) [tex]\frac{78-87}{8-2}[/tex]

The slope of the trend line:A linear relationship is depicted by a trend line. [tex]Y=mx+b[/tex], where [tex]x[/tex] is the independent variable, [tex]y[/tex] is the dependent variable, m is the slope of the line and [tex]b[/tex] is the y-intercept, is the equation for a linear relationship.Scatter plot -Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with [tex]x-y[/tex] coordinates that correspond to those values.

Therefore, (B) [tex]\frac{78-87}{8-2}[/tex] can be simplified to find the slope of the trend line in the scatter plot.

Know more about the slope of the trend line here:

https://brainly.com/question/3688621

#SPJ2

Select all simplified expressions of 3^4 divided by 3^9

Answers

What are the possible answers

Solve the equation 2(3x + 7) + 5 = 49.

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Meg has 5 milligrams of zinc and 0.93 milligram of silver.
How much more zinc does she have than silver?
Pls help answer only if ya know

Answers

4.07 milligrams more of zinc

30 Points. i fr need to pass this test i dont feel like taking it again my senior year

Answers

That’s hella mainey bru same 0

Answer:

3x^3+2x^2+2x+5

Step-by-step explanation:

The answer is A

What is the solution to m/-7<_ 14

Answers

Answer:

-98

Step-by-step explanation:

simplify both sides

it would be -98 even tho someone did it i wanted to do it too

Can someone help pls?

Answers

Answer:

Step-by-step explanation:

Let the original width be x

Then the original length = x + 11

Area = x * (x + 11)

If you decrease each side by 7 you get

Area 1 = (x - 7)(x + 4)

So area - area1 =

x (x + 11) -98 = (x - 7)(x + 4)                  Remove the brackets

x^2 + 11x - 98 = x^2 - 7x + 4x - 28      Combine the like terms

x^2 + 11x - 98 = x^2 - 3x - 28              Add 98 to both sides

x^2 + 11x = x^2 - 3x + 70                     Cancel the x^2

11x = -3x + 70                                       Add 3x to both sides

14x = 70                                               Divide by 14

x = 70 / 14

x = 5

=====================

Original conditions

Answer width = 5

Length = 16

If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.

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