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3 years ago

Two math questions

Mathematics

1 answer:

Ivenika [448]3 years ago

5 0

1. Substitute y in the first equation into the second one.
x+4=-2x-2

Add 2x to both sides
3x+4=-2

Subtract 4 from both sides
3x=-6

Divide both sides by 3
x=-2

Plug in the x value
y=-2+4
y=2

Final answer: (-2,2)

2. There are 0 solutions because the lines are parallel and will never cross each other

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Christine went shopping and bought each of her eighteight nephews a gift, either a video costing $14.95 or a CD costing $16.8

pogonyaev

So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8

so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6

Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2

Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18

4 0

3 years ago

Solve the quadratic equation below for the exact values of x. 4x² - 5 = 75

vfiekz [6]

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Multiple Roots

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides: 4x² = 80
[Division Property of Equality] Divide 4 on both sides: x² = 20
[Equality Property] Square root both sides: x = ±2√5

8 0

3 years ago

Read 2 more answers

use the line graph to answer the question 9 and 10 how much did the temperature change from Sunday High to Mondays High ? what w

Marizza181 [45]

Answers:

How much did the temperature change from Sunday High to Mondays High?

Change = 4 °C

What was the difference between the high temperatures on Friday and Wednesday?

Difference = 10 °C

Explanation:

Taking into account the graph, we get that the high temperature each day is:

Sunday: -10°C

Monday: -6 °C

Tuesday: - 4 °C

Wednesday: -6 °C

Thursday: 0 °C

Friday: 4 °C

Saturday: -2 °C

So, the change from Sunday High to Mondays High can be calculated as:

Change = Monday - Sunday

Change = -6 °C - (- 10 °C)

Change = -6 °C + 10 °C

Change = 4 °C

In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:

Difference = Friday - Wednesday

Difference = 4 °C - (-6 °C)

Difference = 4 °C + 6 °C

Difference = 10 °C

Therefore, the answers are:

How much did the temperature change from Sunday High to Mondays High?

Change = 4 °C

What was the difference between the high temperatures on Friday and Wednesday?

Difference = 10 °C

6 0

1 year ago

3 Select the correct answer. What are the solutions to this equation? 16x² + 9 = 25

Charra [1.4K]

Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1

4 0

3 years ago

Х If two lines do not intersect, then they are parallel.

IrinaK [193]

If it is not intersect they are not parallel

3 0

3 years ago