Solve the equation using either addition or substitution. Show all your work

Solve The Equation Using Either Addition Or Substitution. Show All Your Work

Answers

Answer 1

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)


Related Questions

Solve. Round to the nearest hundredth.
(Help! Will give brainliest)

Answers

29. x = 0.469 30. x = 5.39 31. x = 10.2 32. x = 5.29 33. x = 7.07 34. x = 6.08

What is the following product

Answers

Answer:

6 (square root )432 (option 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

⁶√(432)

Put these numbers in order from least to greatest.

Answers

i believe the order you have it in is correct

MULTIPLE CHOICE !! HELP

Answers

Answer:

Its D

Step-by-step explanation:

what are systems of equations and inequalities definitions?

Answers

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

please help me with the answer, ive been stuck on getting both answers for a while now ty

Answers

Answer:

[tex]3x + x - 17 + 13 = 116 \\ 4x = 120 \\ x = 30 \\ g = 73 \\ h = 43[/tex]

What is the distance between the points (-5, 9) and (4, 9) on the coordinate plane? 9 9 1 1 10 10 90

Answers

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

Help please I’m being timed!!

Answers

Answer:d

Step-by-step explanation:

18x2 = 2x18 is the associative property?​

Answers

Answer:

yes

Step-by-step explanation:

the product does not change

Answer:

yes

Step-by-step explanation:

the difference is same, since the product can't change

if there are 24 boys and 6 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

4:1, 6:2, 12:3, 24:6

Step-by-step explanation:

24 boy

6 girls

possible ratio

24 ÷ 6 = 4

6÷ 6 = 1

4 : 1

24 ÷ 3 = 6

6 ÷ 3 = 2

6 : 2

24 ÷ 2 = 12

6 ÷ 2 = 3

12 : 3

24 ÷ 1 = 24

6 ÷ 1 = 6

24 :6

what is the geometric mean between 7 and 12

Answers

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

9.5 is the geometric mean of any 2 numbers.

HELP PLEASE Quadratic Equations Math Nation

Answers

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?

The careers are basically the same because both focus on protecting the environment.

Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.

Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.

The careers are different and belong to different career pathways within Manufacturing.

Answers

Answer:

the third one is correct. based on recent studies that i have read based on this topic. it should be right.

brainliest?

Step-by-step explanation:

3

Step-by-step explanation

edg

******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each

child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,

a, and the number of children, c, and solve to find out how many of each attended the event.



A) Create an equation to represent the breakdown of people attending this event (children and adults).

B) Create an equation to model the number of forks used at this event.

C) Solve the system you created and write down the number of Children and Adults that attended.

Answers

180 c

70 a

360 divided by 2 = 180 c

360 divided by 5 = 70 a

three times than five times a number​

Answers

Answer:

15

Step-by-step explanation:

Hola me podría alguien ayudar con esto? Muchas gracias!

Answers

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

What is the following product

Answers

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

Kayley read 12 and 1/4 pages in 1/3 hour

Answers

Ion so confused what’s the question?
what’s the full question?

need help
problem/question in image below ​

Answers

Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Please mark as brainliest for further answers :)

Evaluate the expression below
(1/7)³

Answers

Answer:

1/49

Step-by-step explanation:

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]

What is the surface area of the cone? (Use 3.14 for π.)



339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2

Answers

Answer:

tambil anseeciot

Step-by-step explanation:

Hey I'm taking a math exam tomorrow please send words of encouragement please answer.

Answers

Answer:

did you study????? well if u did then why u scareddd shortteee.

3)
The first number minus the second number
is always eight

Answers

Answer:

Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8

Step-by-step explanation:

63
Which expression is not equivalent to
66
A
62
B
1
216
1
D

Answers

Answer:1216

Step-by-step explanation:

It’s to big and if this helps plz but a brainly :)

Which value of "X" is a solution to this equation?
4x2 +22x +10

Answers

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

A roller coaster goes down 0 feet and then up 55 feet.

Answers

Answer:

was that the full question? i cant seem to understand what your asking

Step-by-step explanation:

what do you need help with ??

Anyone know this cause my sister been lost for a day on this. I know it's nice t that hard to most of y'all but it's hard for her. ( will give big brain if I can)

Answers

Answer: The book tax is $1.10 and the video game is $3.40 so i'll let you figure this out

tell your sister that the nae nae frog has blessed her with the answer

Solve for the given variable in the equation: ½ n - 3 = 5

n = _______

Answers

Answer:

The correct solution is "n = 16".

Step-by-step explanation:

The given equation is:

⇒  [tex]\frac{1}{2} n-3=5[/tex]

On adding "3" both sides, we get

⇒  [tex]\frac{1}{2} n-3+3=5+3[/tex]

⇒  [tex]\frac{1}{2}n=8[/tex]

On applying cross multiplication, we get

⇒  [tex]n=8\times 2[/tex]

⇒  [tex]n=16[/tex]

Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)

5 times the sum of 3 and 4, then subtract 4

5 times 3 plus 4 minus 4

5 more than the sum of 3 and 4, and then subtract 4

5 times 3 plus the difference of 3 and 4

Answers

Answer:

5 times the sum of 3 and 4, then subtract 4

Answer:

5  times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

Hope this helps

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