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3 years ago

8

What are the solutions to the equation 3(x - 4)(x + 5) = 0?

1 answer:

Advocard [28]3 years ago

8 0

Answer:

Step-by-step explanation:

3(x - 4)(x + 5) = 0

Dividing through by 3

(x - 4)(x + 5) = 0

(x - 4) = 0 or x + 5 = 0

x - 4 = 0 or x + 5 = 0

x = 4 or x = - 5

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Beth and joe won first place at the local talent show and shared the 50$ price equally they also gave some money to their friend

swat32

If they each kept the same amount of the $50 prize, then we divide $50 by 2 people, giving each of them $25 winnings. Your question is then a little confusing because it could be answered in two ways. Did they each keep $20.75 out of their $25 winnings, or did the two of them keep $20.75 in a combined total? Please read your question again to see which might be the case. I'm answering on the assumption that they each kept $20.75.

STEP 1:
divide total prize money by 2

= $50 ÷ 2
= $25 each won

STEP 2:
If they each kept $20.75

= $25 won - $20.75 each kept
= $4.25 each gave away

STEP 3:
multiply amount given away by 2 people
= $4.25 * 2 people
= $8.50 total given away

ANSWER: The total given to Romy is $8.50.

Hope this helps! :)

8 0

2 years ago

Greg earned $45.76 in 6.4 hours. How much did he earn per hour?

Alisiya [41]

Answer:

The answer is $7.15 (A)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

2 years ago

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by

Zigmanuir [339]

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

$\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12$

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

5 0

2 years ago

A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.

Hatshy [7]

<h3>Given:</h3>

P= $50,000
R= 10%
T= 5 years

<h3>Note that:</h3>

P= Principal amount
R= Rate of interest
T= Time period

<h3>Solution:</h3>

$\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}$

Let's substitute according to the formula.

$A= 50000(1+ \frac{10}{100}{)}^{5}$

<em>A=</em><em> </em><em>$80525.5</em>

Now, we can find the interest paid

$\large\boxed{I= A-P}$

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

$I= 80525.5-50000$

<em>I=</em><em> </em><em>$30525.5</em>

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>amount</u><u> </u><u>paid</u><u> </u><u>after</u><u> </u><u>5</u><u> </u><u>years</u><u> </u><u>is</u><u> </u><u>$</u><u>80525.5</u><u> </u><u>and</u><u> </u><u>$</u><u>30525.5</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>as</u><u> </u><u>interest</u><u>.</u>

7 0

1 year ago