Last part of my brothers homework

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]

Now again multiplying these two expressions

[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]

Simplifying this we get,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

Hence,

The product of the given expression is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .

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Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

Answer:

$13.3 per hour

Step-by-step explanation:

for 6 hour the cost is $79.80

for 1 hour the cost is $79.80/6

$13.3 per hour

Answer:

the value of x = 40

I hope it's helps you

Answer:

[tex]x = 40 \\ \\ [/tex]

it's vertical angel they are equal each other ( = )

Answer: 675

Step-by-step explanation:

Since the starting amount of employees is 500 we can say that 100%=500.

Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.

To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.

Therefore, they now have a total of 675 employees.

Answer:

12.6>12.3

Step-by-step explanation:

Answer:

15 degree = 54,000 seconds

Step-by-step explanation:

15*60*60

Answer:

[tex]\sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]

[tex]\sf 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]

[tex]\sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}[/tex]

[tex]\sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}[/tex]

[tex]\sf 12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]

Step-by-step explanation:

Perimeter of a rectangle

Perimeter = 2(width + length)

Given information:

  [tex]\textsf{width} = 3\sqrt{8}[/tex]

  [tex]\textsf{length} = 4\sqrt{20}+2\sqrt{24}[/tex]

Equivalent Expression 1

Substitute the given information into the formula:

[tex]\sf Perimeter = 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]

Equivalent Expression 2

Using the distributive property law, this can also be written as:

[tex]\sf Perimeter = 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]

Equivalent Expression 3

Distribute the parentheses and simplify the radicals:

[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\& = \sf 6\sqrt{4 \cdot 2}+8\sqrt{4 \cdot 5}+4\sqrt{4 \cdot 6}\\& = \sf 6\sqrt{4}\sqrt{2}+8\sqrt{4}\sqrt{5}+4\sqrt{4}\sqrt{6}\\& = \sf 6 \cdot 2 \sqrt{2}+8 \cdot 2 \sqrt{5}+4 \cdot 2 \sqrt{6}\\& = \sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}\end{aligned}[/tex]

Equivalent Expression 4

Distribute the parentheses and rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :

[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\ & = \sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}\end{aligned}[/tex]

Equivalent Expression 5

Rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :

[tex]\sf Perimeter=12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]

0.2 Repeating Decimal is 2/9 as a Fraction

Answer:

2.9

Step-by-step explanation:

We let 0.2 be x.

Since x is recurring in 1 decimal places, we multiply it by 10.

10x = 2.2

Next, we subtract them.

10x - x = 2.2 - 0.2

9x = 2

Lastly, we divide both sides by 9 to get x as a fraction.

Answer: x = 2.9 or 2/9.

Answer:

use phythagoras formula of calculating right angles

a^2=b^2+c^2

42^2=b^2+78^2 (substitution + transposement)

b^2=72^2-42^2

b^2=3420 (introduce a square root both sides)

what you do on the left .you also do it on the right

b is the unknown side of the triangle

b=58.48 inched

The lengths of the legs of the right angle triangle is 30 inches and 72 inches.

A triangle is a closed plane figure formed by joining three noncolinear points.

We know Pythagoras's theorem which states the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given one leg of a right-angle triangle is 42 inches longer than the other leg.

Assuming the smallest leg to be x inches.

∴ The other leg is (x + 42) inches also given hypotenuse is 78 inches.

∴ (x + 42)² + x² = 78².

x² + 84x + 1764 + x² = 6084.

2x² + 84x - 4320 = 0.

x² + 42x - 2160 = 0.

As length can not be negative value of x = 30 inches.

∴ The smaller leg is 30 inches and the larger leg is (30 + 42) = 72 inches.

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Answer:

[tex]\boxed {\boxed {\sf ( -9, \frac{11}{2}) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a segment. We essentially calculate the average of the x-coordinates and the y-coordinates using the following formula.

[tex]( \frac {x_1+x_2}{2}, \frac{ y_1 + y_2}{2})[/tex]

In this formula, (x₁ , y₁) and (x₂ , y₂) are the endpoints of the segment. For this problem, the 2 endpoints are (-12, 12) and (-6, -1). If we match the variable and the corresponding value, we see that:

Substitute the values into the formula.

[tex]( \frac{-12 + -6}{2}, \frac{12 + -1} {2} )[/tex]

Solve the numerators.

[tex]( \frac{-18}{2}, \frac{11}{2})[/tex]

Divide.

[tex]( -9, \frac{11}{2} )[/tex]

The midpoint of the segment is [tex]\bold {( -9, \frac{11}{2} )}[/tex].

Answer:

7.50$

Step-by-step explanation:

49.98÷100=0.4998=1%

0.4998×15= 7.497 which is 15%of their bill

Answer:

2√10 + 2√10 + 3√10 =7√10

Step-by-step explanation:

√40=√10×4 =√10×√4 = 2√10

√90= √10×9 = √10×√9 =3√10

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

Answer:

120 customers on the 2nd day

Step-by-step explanation:

100/1ST DAY

120/2nd day

140/3rd day

160/ 4TH DAY

Answer:

z° = 135°

Step-by-step explanation:

The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.

I hope I helped you^_^

Answer:

join me on no comments yet the story is about to the turf and a bagane and pinni geting step by step explanation friendship is not working properly and the story of a y I have a mantra and sister about your self and the story of the story is a bagane unda and the story and the portion of the story of the story of the story is about the event of a y you know if

9514 1404 393

Answer:

  600 feet

Step-by-step explanation:

There are 60 seconds in a minute, so the trolley travels 60 times as far as it does in one second.

  (60 seconds/minute) × (10 feet/second) = 600 feet/minute

The trolley goes 600 feet in a minute.

Answer:

5/26 chance because there is only five vowels in the alphabet

Answer:

Not counting y as a vowel: 5/26  or a  19.23% chance

Step-by-step explanation:

There are a total of 26 letters in the alphabet.

There are 5 vowels (a, e, i, o, u)

Picking a vowel has a 5 in 26 chance of occurring.

Answer:

4x-3 16t-4

Step-by-step explanation:

Answer:

1. 8x-4x=4x

5-2=3

so the answer will be

4x+3

2.9t-7t+12-8=2t+4.

3.i have no idea

4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.

Answer:

y=3x-3

Step-by-step explanation:

slope intercept form is y=mx+b

you are given m as 3 and b as -3

so substitute

y=3x-3

Answer:

this is unclear

Step-by-step explanation:

yoy miss typed

Step-by-step explanation:

[tex]a) \\ thank \: you[/tex]

Step-by-step explanation:

The domain of a function is the range of x such that the function is defined.

Now we know the function

[tex]f(x) = \frac{1}{ {x}^{2} + 3x - 4 }[/tex]

is only defined when the denominator is not zero, in other words, when

[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]

or

[tex](x + 4)(x - 1) \neq0[/tex]

[tex]x \ne-4 [/tex]

and

[tex]x \neq +1[/tex]

Answer:

I hope it helped U

stay safe stay happy

Answer:

z=  2 - 3i

      1 + i

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

.........................

Step-by-step explanation:

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