14 3/4 + (-21 1/2 ) ( 14 and -21 are part of the fraction)

[tex] \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}[/tex]

Answer:

[tex]16x^2+4x+1[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{64x^3-1}{4x-1}[/tex]

Factor the numerator of the given expression.

Rewrite 64 as 4³ and 1 as 1³:

[tex]\implies (4^3)x^3-1^3[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:[/tex]

[tex]\implies (4x)^3-1^3[/tex]

[tex]\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)[/tex]

Replace the numerator in the given expression with the factored numerator from step 1:

[tex]\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}[/tex]

Cancel the common factor (4x - 1):

[tex]\implies 16x^2+4x+1[/tex]

Answer:-15n?????

Step-by-step explanation:

Answer: The answer is -3N=-8

Answer:

$1,768

Step-by-step explanation:

We know that Theresa's Book Barn sold $10347 worth of books in September, and $12,115 in October. Since we want to know how much higher the sales were in October than in September, we would have to subtract.

So, we would have to subtract the two numbers.

  12,115
- 10,347
    1768

Subtracting the two numbers gives us $1,768, which is the difference.

I hope this was semi-helpful-

Hello!

Inequality: [tex]-1.2z-8.2 > -9.7[/tex]

To solve, we need to add 8.2 to both sides of the inequality:

[tex]-1.2z-8.2+8.2 > -9.7+8.2\\-1.2z > -1.5[/tex]

Now to get our solution, we will need to divide both sides by -1.2:

[tex]\frac{-1.2z}{-1.2} > \frac{-1.5}{-1.2}\\[/tex]

Final answer:

[tex]\fbox{z} < \fbox{1.25}[/tex]

Hope this helps!

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

Answer:

1.35

Step-by-step explanation:

Unfortunately you are wrong, the correct way to evaluate this problem…

We know 2/3 is 6.6 repeating

So if we do 9 divided by 6.6

We would get 1.35

Also I don’t know how your teacher want you to evaluate, but -27/3 can become a mixed number (9) which is obviously incorrect because 9 divided by a decimal lower that 1 is going to be a decimal lower than one.

Answer:

15/24 or 5/8 inches each week

Explanation and Checking part below :)

Step-by-step explanation:

3 3/4 ÷ 6

1. Turn the mixed number into an improper fraction.

15/4 ÷ 6/1

2. Use the KCF (keep,change,flip) method (multiply the reciprocal).

15/4 × 1/6 = 15/24

3. Simplify if needed to.

15/24 ----> simplified is 5/8

Check:

5/8 × 6 = 30/8

30/8 = 3 6/8 -----> Simplified to 3 3/4

Answer:

7 − (6 ⋅ 3) + 2

Step-by-step explanation:

7 − 6 ⋅ 3 + 2

PEMDAS says we need to multiply before we add and subtract

7 − (6 ⋅ 3) + 2

Answer:

The trinomial is not factorable with rational numbers but can be answered using the quadratic formula : (-b±√(b^2-4ac))/2a. The answer would be 1 ± (plus or minus) [tex]\sqrt{3} \\[/tex] (radical 3).

Step-by-step explanation:

I recommend studying the quadratic formula and remembering it. It can ALWAYS be used to solve any quadratic, rationally factorable or not. When in doubt with completing the square or factoring, fall back on the quadratic equation.

Answer:

-9-3 i think

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

soccer balls=x

basketballs=2x

8(x)+2(2x)=204

12x=204

x=17

$17 per soccer ball

Answer:

a. 20 - (4 ⋅ 3)

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Please note that multiplication 4 ⋅ 3 will happen before the subtraction -

If we add parentheses, we introduce a new "order". But if the parentheses are around the first operation we perform, the order stays the same!

This means that answer a. must be correct.

We verify:

20 − 4 ⋅ 3 = 20 - 12 = 8

a. 20 − (4 ⋅ 3) = 20 - 12 = 8

b. (20 − 4) ⋅ 3 = 16 ⋅ 3 = 48

c. 20 + 4 − 3 = 21

d. 20 ⋅ 4 − 3 = 80 - 3 = 77

Answer: A: 20 - (4 x 3)

Step-by-step explanation:

In the end, the final answer is 8, so we need to see which one of these options give us 8. As seen, we first must solve the multiplication, and the first option, A, solves the multiplication first because it is in parenthesis, which gives us 8, so the correct answer is A.

Answer:A

Step-by-step explanation:

This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????

Answer:

-20/21

Step-by-step explanation:

-4/7 x 20/12

-4/7 x 5/3

= -20/21

Answer: hundreds or hundredths?

Step-by-step explanation:

Assuming you're rounding to the hundreds place, you should round your first number to 5,300.

Second number rounds to 45,500.

Third number rounds to 7,500.

Fourth number rounds to 500.

Answer:

Step-by-step explanation:

Answer:

[tex]5.45 * 100000[/tex]

Other:

[tex]545000[/tex]

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

Answer:13870

Step-by-step explanation: 38 years old

1 year has 365 days

365 days x 38 years = 13870 days old

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

What does this problem want us to find:

[tex]\hookrightarrow \text{The slope-intercept form}: y= mx + b[/tex]

Let's find the slope:

    [tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-3}{4-0} =-\dfrac{1}{4}[/tex]

Let's find the y-intercept:

 ⇒ the value of the y-coordinate when the x-coordinate value is '0'

    ⇒ thus it is '3'

Our equation is:

 [tex]y=-\dfrac{1}{4} x+3[/tex]    <=====  Answer

Hope that helps!

#LearnwithBrainly

Greetings from Brasil...

One way to solve this question is through a determinant.

| X     Y     1 |

| X₁    Y₁    1 |  = 0

| X₂    Y₂   1 |

as

(X₁; Y₁) = (0; 3)

(X₂; Y₂) = (4; 2)

then

| X   Y  1 |

| 0   3   1 |  = 0

| 4   2   1 |

Answer:

Step-by-step explanation:

S = 3, -3 T = 3, 7 U = 10, 7 V = 10, -3

Answer:

The decimal form of this rational number is .

Step-by-step explanation:

a) Let  a rational number. From statement we understand that  represents the numerator, while  corresponds with the denominator of the rational number. Hence,  is 3 and  is 11.

b) The decimal form is obtained by dividing  by , we presented the step needed to determine the decimal form:

i) Multiply the numerator by 10:

Dividend: 30/Divisor: 11/Known result: 0. /Residue: N/A

ii) Multiply the divisor by 2 and subtract from the dividend:

Known result: 0.2 /Residue: 8

iii) Multiply the residue by 10:

Known result: 0.2 /Residue: 80

iv) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.27 /Residue: 3

v) Multiply the residue by 10:

Known result: 0.27 /Residue: 30

vi) Multiply the divisor by 2 and subtract from the residue:

Known result: 0.272/Residue: 8

vii) Multiply the residue by 10:

Known result: 0.272 /Residue: 80

viii) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.2727/Residue: 3

We have notice that the decimal form of  is a periodical decimal number. Hence, we conclude that decimal form of this rational number is .

Answer:

Triangles are congruent if their corresponding sides are congruent using SSS postulate.

Answer:

Step-by-step explanation:

Triangles are congruent if their corresponding sides are equal.  If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.

Answer:

1

Step-by-step explanation:

(2^3 x 2^-1) / 2^2

First, solve what's in the parentheses remembering that when two exponents have the same base and are being multiplied together, their exponents add together:

3 + (-1) = 2

(2^2) / 2^2

And when two exponents with the same base are being divided by each other, the exponents subtract:

2 - 2 = 0

(2^0)

And any number to the power of 0 equals 1:

(2^0) = 1

Hope this helps!

Answer:

Step-by-step explanation:

For cullen he did the first part wrong:

-6n +22 =-4n + 14

+4n          +4n

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

-2n+22=14  correct solution

not equal to -10n +22=14

=======================================

for Seraphina she did the 3rd part wrong:

11.6y = 23.2

------     ------

11.6      11.6

y=2 correct solution

not equal to y=11.6

=========================================

for Jasper he also did the 3rd part wrong:

1/8b= 64

x8      x8

b=512 is the correct answer

not equal to b=8

Hope this helps :)

Answer:

[tex] \sf \: x=108[/tex]

Step-by-step explanation:

3=x/36

Step 1: Multiply both sides by 36.

3=x/36(3)*(36)=(x/36)*(36)

108=x

Step 2: Flip the equation.

x=108