2 years ago

X(x - 5) = -4 Solve the equation, using the quadratic formula.

Mathematics

1 answer:

leonid [27]2 years ago

5 0

1 and 4 are the answers!

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Two Trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that spe

sashaice [31]

Let s = northbound train
Then
2s = southbound train
:
Distance = time * speed
4s + 4(2s) = 600
:
4s + 8s = 600
:
12s = 600
:
s = 600/12
:
s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
:
:
Check:
4(50) + 4(100) = 600

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3 years ago

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Question 8: Find the equation of the straight line that:

Scorpion4ik [409]

Answer:

$y=4x+6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

$y=mx+b$

We're given that the gradient of the line is 4. Plug this into $y=mx+b$ as m:

$y=4x+b$

<u>2) Determine the y-intercept (b)</u>

$y=4x+b$

Plug in the given point (1,10) as (x,y) and solve for b

$10=4(1)+b\\10=4+b$

Subtract 4 from both sides to isolate b

$10-4=4+b-4\\6=b$

Therefore, the y-intercept of the line is 6. Plug this back into $y=4x+b$ as b:

$y=4x+6$

I hope this helps!

8 0

2 years ago

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What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

kvv77 [185]

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

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3 years ago

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At the beach, Pancho and his sister both built sandcastles and then measured their heights. Pancho's sandcastle was 3/5 of a foo

lord [1]

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

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3 years ago

A division of a company that manufactures widgets has been given an annual operating budget of $82,500. The factory's operating

Scrat [10]

Answer: $92,525

Step-by-step explanation:

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3 years ago