Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9

Answer:

0.5 inches

Step-by-step explanation:

The lower quartile is the value on the left side of the box plot

lower quartile for Florida = 3.5 inches

lower quartile for Pennsylvania = 3 inches

difference = 3.5 - 3 = 0.5 inches

Answer:

if you are supposed to find m<STR, then the answer is B

Step-by-step explanation:

Answer:

i thinkits c

Step-by-step explanation:

based on the info given

A

64 :) i think

Step-by-step explanation:

Answer:

Range D = {-7, 1, 9, 17}

Step-by-step explanation:

f(x) = 4x + 9

4(-4) + 9 = -7

4(-2) + 9 = 1

4(0) + 9 = 9

4(2) + 9 = 17

Answer:

[tex](x -12)(x + 12)[/tex]

Step-by-step explanation:

Given

See attachment for chart

Required

The factors of [tex]x^2 - 144[/tex]

First, express [tex]x^2 - 144[/tex] as [tex]ax^2 + bx + c[/tex]

So, we have:

[tex]x^2 - 144 = x^2 + 0x - 144[/tex]

Compare the above expression to: [tex]ax^2 + bx + c[/tex]

We have:

[tex]ax^2 + bx + c = x^2 + 0x - 144[/tex]

So:

[tex]a =1[/tex]

[tex]b =0[/tex]

[tex]c = -144[/tex]

and

[tex]a * c = d * e[/tex]

Calculate ac

[tex]a* c = 1 * -144[/tex]

[tex]a* c = -144[/tex]

Rewrite as:

[tex]a* c = -12 * 12[/tex]

Recall that:

[tex]a * c = d * e[/tex]

Hence:

[tex]d = -12; e = 12[/tex]

So, on the x chart, we have:

        ac

d                  e

        b

This gives:

        -144

-12                  12

        0

The factors are

[tex](x + d)(x + e)[/tex]

[tex](x -12)(x + 12)[/tex]

Answer:

✔ (x – 12)

 and  

✔ (x + 12)

Step-by-step explanation:

Answer:

It will take 13 months for the second phone to be less expensive than the first phone.

Step-by-step explanation:

Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:

100 + (55 x 10) = 100 + 550 = 650

150 + (51 x 10) = 150 + 510 = 660

100 + (55 x 12) = 100 + 660 = 760

150 + (51 x 12) = 150 + 612 = 762

100 + (55 x 13) = 100 + 715 = 815

100 + (51 x 13) = 150 + 663 = 813

Therefore, it will take 13 months for the second phone to be less expensive than the first phone.

Answer:

1) 100 + 55x > 150 + 51x

2) x > 12.5

3) 13

Step-by-step explanation:

Got it right on Edge :D

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

Answer:

90 percent

Step-by-step explanation:

the fraction is 90/100 so the percentage is 90%

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

Answer:

x = 24

Step-by-step explanation:

Mathematically, in a cyclic quadrilateral; two opposite angles are supplementary

what this mean is that the opposite angles add up to equal 180 degrees

mathematically, we have this as;

(4x + 9) + (3x + 3) = 180

4x + 3x + 3 + 9 = 180

7x + 12 = 180

7x = 180-12

7x = 168

x = 168/7

x = 24

Answer:

y intercept is (0,-0.5) and the slope is 5.

Step-by-step explanation:

Let's rewrite the equation in slope intercept form.

Step 1: divide both sides by two:

[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]

Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]

Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]

[tex]y=\frac{10x+3}{2}-1[/tex]

[tex]y = 5x - \frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

in negative exponents you should switch both numerator and denominator so for 2 raised to -1 you should switch the numerator and denominator and it will become 1/2 in which 2 is raised to power 1

you can do the same for the remining sums

so a is 1/2 in which 2 is raised to 6 so answer is 1/64

Answer:

option c

Step-by-step explanation:

Quadratic function f(x) = ax² + bx  +c

Here the the co-efficient of x,  that is a tells if the graph is wider or narrower.

1) a < 1  that is if a is decimal less than 1, then the graph is wider.

2) a > 1, then the graph is narrow.

Answer:

M = 52* H

"miles equals 52 times hours driven"

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

all the options seems similar..but i can find the D more suitable

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°

Answer:

  12

Step-by-step explanation:

3/4 = 9/12

7/6 = 14/12

12 is a suitable common denominator for these fractions.

__

4 = 2·2

6 = 2·3

The common denominator must include all these factors (and no more than necessary), so must be ...

  LCD = 2·2·3 = 12

Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

---------------------------------

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

Answer:

maybe you can give them a simple example.

use what they are interested for.

for example if he or she love playing basketball.

you can draw three white ball, if other give you two ball, you can draw two balls. instead, if other want to borrow four balls from you, then you can draw four balls to black and count the left balls.

hope it can help you!!

Step-by-step explanation:

Answer:

30.5 for decimal form and 30 1 /2 if mixed fraction needed

Answer:

Hope you find it helpful and usef

Answer: D

To solve the equation we proceed as follows:

log5(10x-1)=log5(9x+7)

canceling out log5 we get:

(10x-1)=(9x+7)

solving for x we get:

10x-9x=7+1

x=8

thus the value of x=8

Step-by-step explanation:

it was on brainly already

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Answer:

[tex]S_5=\dfrac{170}{9}[/tex]

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]

We need to find the sum of the first 5 terms.

Put n = 5,

[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]

So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].

[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]

[tex]\rule{200}4[/tex]

[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]

[tex]\rule{200}4[/tex]

Answer:

Your solution ..................

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour