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anzhelika [568]
3 years ago
12

Factor 7x3y4−7x2y5 completely.

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

B

Step-by-step explanation:

when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.

7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.

You might be interested in
On the 1st January 2014 Carol invested some money in a bank account.
Ghella [55]

Answer:

\large \boxed{\text{\pounds 23 360.00}}

Step-by-step explanation:

The formula for the accrued amount from compound interest is

A = P \left(1 + \dfrac{r}{n}\right)^{nt}

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:  

r = 0.025

\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}

3. Summary

1 Jan 2014      P = £23 360.00

1 Jan 2015     A =    23 944.00

     Withdrawal = <u>    -1  000.00 </u>

                     P =     22 944.00

1 Jan 2016    A =    £23 517.60

5 0
3 years ago
Haha please help i don't know what I'm doing
tresset_1 [31]

Answer:

(5x+1)(x+7)

Step-by-step explanation:

4x^2+26x+6+x^2+10x

5x^2+36x+7

(5x+1)(x+7)

Prove

5x*x + 5x*7 + 1*x + 1*7

= 5x^2 + 35x + x + 7

= 5x^2 + 36x + 7

4 0
2 years ago
if the square roots of the natural numbers from 1 to 200 are calculated what will be the whole numbers​
Mamont248 [21]

Answer:

f

Step-by-step explanation:

Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.

3 0
3 years ago
NEED HELP AND WILL MARRK BRAINLIEST!!! It's due today!!
fenix001 [56]

Answer:

Dot plot, because a small number of scores are reported individually.

Step-by-step explanation:

Histogram is usually used when a group of data to be represented is usually large and given in ranges or intervals.

However, for a data set, such as the scores of the group of 12 students who participated in a dance competition are  reported individually, and not as ranges or intervals, a dot plot would best for representing this small number of scores.

See attachment below to see how we can easily represent the given scores of the students on a dot plot. Each dot represents a score value for each student.

5 0
3 years ago
Find two numbers whose sum is 55 and whose product is 646​
Svet_ta [14]

Answer:

17 and 38

Step-by-step explanation:

x + y = 55......x = 55 - y

x * y = 646

y(55 - y) = 646

55y - y^2 = 646

y^2 - 55y + 646 = 0

(y - 17)(y - 38) = 0

y - 17 = 0       y - 38 = 0

y = 17            y = 38

ur numbers are 17 and 38

8 0
3 years ago
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