factorize: xy-3x - 5y + 15
​

Answer:

5a+4a=9a

3b-7b=-4b

2ab

=9a-4b+2ab or 2ab+9a-4a

Step-by-step explanation:

Calculate liked terms

|A| and |B| denote the determinants of the matrices A and B.

We have

[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]

Then B is a matrix such that |B| = -|A| = +47.

The only choice satisfying this is C, since

[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]

Answer: 3128 students

Step-by-step explanation:

Total no of students in the school : 3200

No of sophomores in favor of the school forming a crew team : 38

No of the remaining students in favor of forming a crew team : 34

Total students in favor of forming a crew team = 38+34= 72

No of students against it : Total students - Students in favor

                                          = 3200-72 = 3128 students

9514 1404 393

Answer:

  about 79 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...

  height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft

Both the angles will be 105°

Just add up the given angles, subtract the result by 360, and divide by 2.

Answer:

tanC will be given by the opposite over the adjacent

tanC=24/32

simplified to 6/8

I hope this helps

Answer:

6.25

Step-by-step explanation:

[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]

Hope this helps.

Answer:

70

Step-by-step explanation:

In a trapezoid lines are parallel, so corresponding angle sum = 180

X+X+40 = 180

2x + 40 = 180

2x = 180-40

2x = 140

X = 140/2

X = 70

Answered by Gauthmath

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

Answer:

the batteries are 74 cents and oranges are 5.10

Step-by-step explanation:

for the first one just divide 5.92 by 8 to get the unit price

and for the second multiply 2.7 by 1.89

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

Answer:

Q, quadrant 4

Step-by-step explanation:

Answer:

The letter is     Q

And the quadrant is (x,-y) i.e quadrant no. 4

Step-by-step explanation:

The multiplier is 1 + growth percentage or 1- decrease percentage rage.

1) 1 + 5% = 1.05

2) 1-12% = 0.88

3) 1-0.85% = 0.9915

4) 1 + 200% = 3

Answer:

the reciprocal of 1 is 1

Step-by-step explanation:

1/1 flipped is still equal to 1

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

Answer:

A horizontal shift a units to the right.

Step-by-step explanation:

f(x) =x, is a line with the the x-intercept at (0,0)

g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]

Answer:

r < 4/7

Step-by-step explanation:

35r - 21 < -35r + 19

35r + 35r < 19 + 21

70r < 40

r < 4/7

Answer:

r < 4/7

Step-by-step explanation:

Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

Answer:

<A = 51

Step-by-step explanation:

Since AB = AC  ( shown by the lines on the sides) we know that this is an isosceles triangle

Since the sides are the same, the base angles are the same

<A = <C

<C = 51 so <A = 51

Answer:

all real numbers greater than or equal to 11

Answer:

does it want the degree????

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!

In this question, we want to find a fraction of a value, which is found multiplying the fraction by the value.

Information:

Voldemort has brushed his teeth 14641 times.

5/11 of the time, he has flossed immediately beforehand.

[tex]1 - \frac{5}{11} = \frac{6}{11}[/tex] of the time, he has NOT flossed immediately beforehand.

How many times total has Voldemort NOT flossed right before brushing his teeth?

6/11 out of 14641, so:

6*14641/11 = 7986.

Thus, Voldemort has NOT flossed right before brushing his teeth 7986 times.

For another example with a fraction of a value, you can check https://brainly.com/question/5501130

Lord Voldemort did not floss his teeth 7986 times.

According to this question, we know the following two facts:

1) Lord Voldemort has brushed his teeth 14641 times.

2) He flossed his teeth beforehand only [tex]\frac{5}{11}[/tex] of the time.

There, he did not floss his teeth [tex]\frac{6}{11}[/tex] of the time and the total number of time that he did not floss is obtained by multiplicating the total number of times that he brushed his teeth and the rational number deducted at the beginning of the paragraph. That is to say:

[tex]x = \left(\frac{6}{11} \right)\cdot (14641)[/tex]

[tex]x = 7986[/tex]

Lord Voldemort did not floss his teeth 7986 times.

Answer:

The answer is $82.46 sales tax

$1,260.46 Total

Step-by-step explanation:

Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46

Answer:

22 mm

Step-by-step explanation:

Answer:

A' (0,20)

B' (30,-20)

C' (-10,-40)

Answered by GAUTHMATH

Answer:

(E) [tex]y=x+3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4,-1) and ( -1,2):

[tex]m=\displaystyle \frac{2-(-1)}{(-1)-(-4)}\\\\m=\displaystyle \frac{2+1}{-1+4}\\\\m=\displaystyle \frac{3}{3}\\\\m=1[/tex]

Therefore, the slope of the line is 1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in one of the given points and solve for b:

[tex]2=-1+b\\2+1=b\\3=b[/tex]

Therefore, the y-intercept of the line is 3. Plug this back into the original equation:

[tex]y=x+3[/tex]

I hope this helps!

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

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