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1 year ago

The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Mathematics

1 answer:

Setler79 [48]1 year ago

3 0

Answer:

x = 5

x = 3

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8

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David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will

svetlana [45]

Answer:

Part a) $160\ gallons$

Part b) $480\ gallons$

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

$\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons$

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

$\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons$

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3 years ago

10x−y = 10<br> −2x+ 5y = −2

Viefleur [7K]

Answer:

x=1 & y=0

Step-by-step explanation:

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1 year ago

Need the answer on this

denpristay [2]

None of the answers are correct because it’s definitely not “Given” because x=20 is like an answer. It’s also not “Distributive Property”, “subtraction Property”, and or “Additional Property” b/c there’s nothing that can be distributed, subtract or add. It’s just an answer.

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2 years ago

Read 2 more answers

PLEASE HELP IM TIMES AND EXPLAIN STEP BY STEP , so using substitution method solve the system of equations , y = 2x + 8 and y =

inessss [21]

Answer:

y= 2x + 8 , y = 4x - 2

2x + 8 = 4x - 2

8 = 2x - 2

10 = 2x

5 = x

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Plot the ordered paired (4,-5) state which quadrant or on which axis the point lies

Rudiy27

Answer:

The point is in the 4th quadrant.

Explanation:

Given the ordered pair(4, -5), we have that x = 4 and y = -5. Plotting this point, we'll have;

Note that quadrants are labelled in an anti-clockwise direction with the top right portion of the graph as the 1st quadrant. Looking at the plotted point, we can see that it i in the 4th quadrant.

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11 months ago