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

PLZ HELP ME, ASAP I WILL CROWN BRAINLIEST!!!!

Answers

It is the first option. 3 and 4

HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

rap music

Step-by-step explanation:

^

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

• What is the diameter of the circle?
What is the circumference of the circle
What is the area of the circle

Answers

Answer:

Radius = r

Diameter = 2r

Circumference = 2πr

Area = πr²

a diameter of a circle is a line drawn through the center of a circle.

increase 50$ by 15%

Can you say how to do it and answer?

Answers

15% = 0.15
0.15 • 50 = 7.5
50 + 7.5 = 57.5

An electrician deposits $6000 in a bank account with 7% simple interest. What is the total balance after 4 years?

Answers

Answer: $42,000

Step-by-step explanation:

Simple Interest: I=prt

I= (6,000)(7/4)(4)

I= 42,000

The volume of a cylinder can be determined using the formula V=πr2h, where r and h represent the radius and height of the cylinder, respectively. A volume of paint expressed as (8x3 + 31x2 + 32x)π and a volume of paint expressed as (10x3 + 17x2)π are poured into a paint can in the shape of a cylinder. Determine possible expressions for the radius of the can and the depth of the paint in the can.

Answers

Answer:

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Step-by-step explanation:

Let be the initial volumes of the initial cans represented by these expressions:

[tex]V_{1} = (8\cdot x^{3}+31\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (1)

[tex]V_{2} = (10\cdot x^{3}+17\cdot x^{2})\cdot \pi[/tex] (2)

The resulting volume of the paint can is the sum of the two functions:

[tex]V_{3} = (18\cdot x^{3}+48\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (3)

Then, we proceed to factor the polynomial:

[tex]V_{3} = 2\cdot (9\cdot x^{2}+24\cdot x +16)\cdot x \cdot \pi[/tex]

[tex]V_{3} = \pi\cdot (9\cdot x^{2}+24\cdot x + 16)\cdot (2\cdot x)[/tex] (3b)

By direct comparison with the volume formula for the cylinder we have the following expressions:

[tex]r^{2} = 9\cdot x^{2}+24\cdot x + 16[/tex]

[tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex]

[tex]h = 2\cdot x[/tex]

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Need help as soon as possible pls help

Answers

1. The value of x is:

180° - 40° - 30° = 110°

2. The value of x is:

90°- 38° = 52°

Answer:

Step-by-step explanation:

180 = 40 + x + 30

110 = x

90 = 38 + x

52 = x

Find the distance between the points (4,10) and (4, -7)

Answers

Answer:

17

Step-by-step explanation:

Hello There!

Once again we are going to use the distance formula to find the answer

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

This time we need to find the distance between the points (4,10) and (4,-7)

*we plug in the values into the formula)

[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]

so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units

What is the smallest solution to the equation 3x2 - 16 = 131?

Answers

Answer:

7,-7 are the solutions

Step-by-step explanation:

Not a perfect square so its

+-7

I would go with -7 since its the lowest amount

Answer:

-7

Step-by-step explanation:

How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently

Answers

Answer:

974

Step-by-step explanation:

Let assume that:

The set of student that took part in Calculus be = C

Those that took part in discrete mathematics be = D

Let those that took part in data structures be = DS; &

Those that took part in Programming language be = P

Thus;

{C} = 507

{D} = 292

{DS} = 312

{P} = 344

For intersections:

{C ∩ DS} = 14

{C ∩ P} = 213

{D ∩ DS} = 211

{D ∩ P}  =43

{C ∩ D} = 0

{DS ∩ P} = 0

{C ∩ D ∩ DS ∩ P} = 0

According to principle of inclusion-exclusion;

{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}

{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0

{C ∪ D ∪ DS ∪ P} = 974

Hence, the no of students that took part in either course = 974

the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle​

Answers

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis

the time in years?

fit) = 1450(2.5)

f(t) = 1450(1.25)

FO) = 1450(.025)

f(t) = 1450(1,025)

Answers

Answer:

[tex]f(t) = 1450(1.025)^{t}[/tex]

Step-by-step explanation:

Given

[tex]P =1450[/tex] -- principal

[tex]r = 2.5\%[/tex] --- rate

[tex]n = 1[/tex] --- compounded once a year

Required

Determine the function for compound interest

Compound interest f(t) is calculated as:

[tex]f(t) =P(1 + r/n)^{nt[/tex]

So, we have:

[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]

[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]

[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]

[tex]f(t) = 1450(1.025)^{t}[/tex]

Complete the table below for the equation y=1+2x

Answers

y= 1,3,5

Hope it help

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

Ms. Thompson went to buy socks for her Jordans. She brought $20 to the store. Each pair of scold costs $2.50. How many pairs of socks can she buy with $20?

Answers

answer of this question:

8

Step-by-step explanation:

$20÷$2.50

=8

:)

The center of a circle is located at (4, 2). A point on the circle is located at (1, 2). What is the approximate area of the circle?

Answers

Answer: 9π≈28.26 squared units

Step-by-step explanation: The distance between the two points, 3 units, is the radius. And then we use that to find the area by squaring and multiplying by pi.

Determine the area of a circle whose radius is 15 feet. Use pie=3.14​

Answers

Answer:

Down below

Step-by-step explanation:

[tex]A=\pi r^2\\A=3.14*(15)^2\\A=3.14*225\\A=706.5[/tex]

A rectangular prism has a volume of 900 cubic units. The prism has a length of 25 units and a width of 12 units. Which equation could be used to find h, the height of the prism?

Answers

Answer:

52 cubic units

Step-by-step explanation:

got it right on edg

Answer:

37h 900

Step-by-step explanation:

Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?

Answers

Answer:

£139

Step-by-step explanation:

£12.50 * 11 = 137.50

137.50 + 1.50 = £139

Answer:

137.5 + 1.50 = £139

Step-by-step explanation:

Please Give brainliest

4(2a - 3) = 2(3a + 1)
What's the answer?​

Answers

Answer:

a=7

Step-by-step explanation:

4(2a-3) = 2(3a+1)

8a-12 = 6a+2

2a-12=2

2a=14

a=7

Distribute
4(2a-3)=2(3a+1)
8a-12=2(3a+1)
8a-12=6a+2
Add 12 to both sides
8a-12+12=6a+2+12
a=7

A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 ​years?

Answers

there will be 240 foxes

A spinner is divided into 8 equal sections and each section contains a number from 1 to 8. What probability of the spinner landing on 5?

Answers

Answer:

1/8

Step-by-step explanation:

1 number out of eight possible choices.

Answer:

1/8

Step-by-step explanation:

the answer

50% of x is 19. *reamber is means divide*​

Answers

Answer:

9.5

Step-by-step explanation:

Tell which number is greater. 0.9 or 95%​

Answers

Answer: 95%

Step-by-step explanation: 0.9 = 90%

3) Arjun was shopping for avocados, which were listed $0.90 each. He brought six avocados to the checkout lane, where he learned that there was a sale on avocados. With the discount, he was charged $4.86 before tax. What was the percent discount on each avocado?​

Answers

Answer:

Step-by-step explanation:

Total discount = 6×$0.90 - $4.86 = $0.54

discount each = $0.54/6 ≈ $0.09

$0.09/$0.90 = 0.10 = 10%

Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans

Answers

I think it’s gonna be 25%

Please help will give brainliest

Answers

3 ,4,5 .....................

Why is convenience sampling biased? a. It takes too long to obtain b. none of the above c. The sample does not represent the population d. is too easy

Answers

Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Pls help, answer righhand I’ll mark brainly and you big smart!

Answers

Answer:

A. and C.

Step-by-step explanation:

Just remember that to find the roots, use the equation:

(-b +/- sqrt[b^2 - 4ac])/2a

I would appreciate Brainliest, but no worries.


4 people can dig a trench in 3 hours.
How long would it take 9 people?
Give your answer in minutes.

Answers

Answer:

80 minutes.

Step-by-step explanation:

do I need to explain? I hate explaining :(

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