All categories

3 years ago

Sorry this a lot.

2 answers:

5 0

Your
<span>-4| 3 7 -20
-12 20
______________
3 -5 0
is a bit hard to read. Try this format:
__________
-4 / 3 7 -20
-12 20
-------------------
3 -5 0

Because the remainder is 0, we know that -4 is a root and (x+4) is a factor. Note the new coefficients in the last row: 3 -5. They are the coeff. of the quotient, namely, 3x-5. So (3x-5) is a factor of the original polynomial.

</span>

Tom [10]3 years ago

3 0

The correct answers are,

The number -4 is a root of F(x) = 3^x2 + 7x - 20.

(x + 4) is a factor of 3x^2 + 7x - 20.

(3x^2 + 7x - 20) (x + 4) = (3x - 5)

You might be interested in

3/5 ÷ 1 1/4 =<br> (20 points)

Anna11 [10]

3/5 ÷ 1 1/4 = 0.48

0.48 will be your anwer

7 0

3 years ago

New york sales tax is charged at the rate of 6%. find the tax and the total price you would pay for an $860 stereo.

Serhud [2]

To calculate the tax multiply $860 by .06 (6%) to get $34.40.
To calculate the total amount you'll pay add $34.40 to $860 to get $894.40.

8 0

3 years ago

Juan will spend $28 on gifts. So far, he has spent 16. What are the possible additional amounts he will spend?

harina [27]

Answer:

Step-by-step explanation:

because juan is spend 28 on gift and he added a 16 .

7 0

2 years ago

The mean preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t

astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)= $\frac{ME*\sqrt{N}}{s }$ where

Me is the margin of error from the mean

s is the standard deviation of the population

N is the sample size

z(p)= $\frac{8*\sqrt{30}}{50 }$ ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

z(p)= $\frac{8*\sqrt{50}}{50 }$ ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

z(p)= $\frac{8*\sqrt{100}}{50 }$ ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

Minimum required sample size for 0.95 probability is

N≥ $(\frac{z*s}{ME} )^2$ where

N is the sample size

z is the corresponding z-score in 95% probability (1.96)

s is the standard deviation (50)

ME is the margin of error (8)

then N≥ $(\frac{1.96*50}{8} )^2$ ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0

3 years ago

Help! Will give branliest!!

sergey [27]

Hello from MrBillDoesMath!

Answer:

sin(A) = k/c

sin(C) = k/a

Discussion:

By definition of sine ,

sin(A) = side opposite angle / hypotenuse = k/c

sin(C) = side opposite angle/ hypotenuse = k/a

Added remark:

From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.

asin(C) = csin(A) => divide both sides by "ac"

sin(C)/ c = sin(A)/a

Which is the law of sines for a triangle.

Thank you,

MrB

4 0

3 years ago