All categories

3 years ago

What are the roots of the polynomial equation? x^2 + x -72 =0

1 answer:

3 0

There are many ways you can go. I'm going to start out factoring the whole thing.
(x+9)(x-8) = 0
seperate these into two different equations.
x+9 = 0 and x-8 = 0
x= -9 x=8
Make sure you check it by substituting. Sometimes you might have to reject an answer. In this case you don't. Therefore, 8 and -9 are your roots!

You might be interested in

Find the balance in an account with $7,000 principal earning 5% interest compounded quarterly

nadya68 [22]

Answer:

The balance is $\$11,505.34$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$7,000\\ r=0.05\\n=4$

substitute in the formula above

$A=\$7,000(1+\frac{0.05}{4})^{4*10}=\$11,505.34$

3 0

3 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 7/sqrt 8x +10

Blizzard [7]

Assuming you meant

$y = \frac{7}{ \sqrt{8x+10} }$

Then you can compose the function g(x)

$g(x)= \sqrt{8x+10}$

With the function

$f(x)= \frac{7}{x}$

Because f (g(x) ) means that you first find (calculte) $\sqrt{8x+10}$ and second you divide 7 by g(x) to obtain 7 / [√(8x+10) ].

8 0

3 years ago

Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o

bagirrra123 [75]

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

Solution:

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

$1 \times x = 15.1 \times 33.5\\\\x = 505.85$

Thus Isabel can drive 505.85 miles on a full tank of gas

6 0

3 years ago

I neeeedddd answerssss pleaseeee its due tomorrow helppp :(

Anastaziya [24]

I suck at algebra but my advice is download photomath it will help trust me

7 0

3 years ago

Round 7.21 divided by 7 to the nearest tenth

tensa zangetsu [6.8K]

1 is the answer.

The exact answer is 1.03, but we have to round it to the nearest tenth which is 0 because 3 is less than 5.

8 0

3 years ago