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3 years ago

Solve the following quadratic equation using the quadratic formula. −2y^2+5=7y

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

Answer:

y=(7±√89)/-4

Step-by-step explanation:

y=(-b±√b^2 -4ac)/2a

Rewrite given equation in quadratic form so it is -2y-7y+5=0

Then, in formula, sub -2 for a, -7 for b, and 5 for c

y=-(-7)±√(-7)^2 -4(-2)(5)/2(-2)

When you multiply that out you get

7±√49-(-40)/-4

The next step is the answer given above

If you need the answer not in sq rt form, it is y=-4.1085 and y=0.0608

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What is the answer to. 4x + 7<8

sukhopar [10]

First, subtract 7 on both sides. Now, you have 4x<1. Divide by 4 on both sides. Finally, you get x<1/4 (a quarter or said as one-fourth). So, x<1/4.

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3 years ago

A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. The drain can empty the sink

sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be $\frac{1}{12}$ .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be $\frac{1}{15}$ .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be $\frac{1}{25}$ .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

$(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1$

Make a common denominator:

$(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1$

$(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1$

$(\frac{25+20-12}{300})t=1$

$\frac{33}{300}t=1$

$\frac{11}{100}t=1$

$\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1$

$t=\frac{100}{11}$

$t=9.0909$

$t\approx 9.1$

Therefore, it will take 9.1 minutes to fill the sink.

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3 years ago

emma made a rectangular picture frame with the height of 25 5/6 inches .the frame is 5 2/3 inches wide .what is the height of th

Ad libitum [116K]

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3 years ago

What is an equivalent expression for 3/4 (6+2x)

Alex73 [517]

Answer:

9/2 +3/2x

Step-by-step explanation:

3/4 (6+2x)

Distribute

3/4*6 + 3/4*2x

18/4 +6/4x

9/2 +3/2x

4 0

3 years ago

Read 2 more answers

15. Kate plays a card game with two friends. She gives 5 cards to each player. Ten plus what number is equal to the total number

NNADVOKAT [17]

Answer:

i believe it would be 0

Step-by-step explanation:

2*5 = x

2*5 = 10

x = 10

10 + y = x

10 + y = 10

-10 -10

-----------------

y = 0

the number is 0

hope this helps! :D

have a miraculous day!! <3

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2 years ago

Read 2 more answers