solving polynomial(2y-4)(3y+6)​

Answer:

(6/7)/(12/21) = 4/x

the first part of the expression :

when divide fraction: turn the sign from ÷ to × and flip the second fraction

(6/7)×(21/12)=4/x

126/84=4/x ( simplify the fraction 126/84)

GCF of 126 and 84 is 42 ( 126/48=3 and 84/42=2)

3/2=4/x ( cross multiplication ( butterfly)

1.5=4/x

1.5x=4

x=4/1.5=2.6666.......

Answer:

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

Answer:

The answer is given below

Step-by-step explanation:

The options are not given but I would list the inequalities needed to solve this problem.

As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.

The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:

R ≥ 100 - 24

R ≥ 76

If each roll contains 12 pieces, the number of rolls needed (n) is given by:

n ≥ R/12

n ≥ 76/12

n ≥ 6.33

n ≥ 7

If each roll cost $8, the money needed to buy the sushi is given as:

Cost ≥ 8(7) ≥ $56

u need to finish 4 assignments in 1 hour

Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

[tex]b = 4i[/tex]

[tex]b = i+6[/tex]

Let's solve via substitution.

[tex]4i = i+6[/tex]

Subtract i from both sides:

[tex]3i = 6[/tex]

Divide both sides by 3:

[tex]i = 2[/tex]

So Ishaan is 2 years old. Ben is:

[tex]4(2) = 8[/tex] years old.

Hope this helped!

Answer:

2 1/2 hours

Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours  so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half

Answer:

C. 10cm

Step-by-step explanation:

Bryce is making a model building.

He raises the walls of the building

by 2 centimeters five times. By how

many centimeters does Bryce raise

the walls all together?

(A) 2 cm

(C) 10 cm

(B) 5 cm

(D) 20 cm

Bryce raises the walls of the building 2centimeters five times

This means, he raises the walls 2centimeters five different times

By how many centimeters does Bryce raise the walls all together?

We can solve this by finding the product of 2centimeters five times

The total centimeters Bryce raises the walls altogether= 2 centimeters × 5 times

=2cm × 5

=10cm

Answer:

0.5 is the answer of this question

bro!

4(1-3x) + 7x -8

Use distributive property:

4 -12x + 7x -8

Now combine like terms:

-5x -4

Answer:

[tex]-5x-4[/tex]

Step-by-step explanation:

With the expression [tex]4(1-3x) + 7x - 8[/tex], we can simplify it down by applying the distributive property, then combining like terms.

[tex]4(1-3x)+7x-8\\\\4-12x+7x-8\\\\4-5x-8\\\\-5x-4[/tex]

Hope this helped!

Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

Answer:

[tex]a=-\frac{b}{2x}[/tex]

Step-by-step explanation:

The equation of a quadratic function is given as:

ax² + bx + c = 0

where a, b and c are the coefficient in the quadratic equation.

The axis of symmetry of the quadratic equation is given as:

[tex]x=-\frac{b}{2a}[/tex]

To get the equation for a, we have to make a the subject of formula:

[tex]x=-\frac{b}{2a}\\\\multiply\ both\ sides\ by \ 2a:\\\\x*2a=-\frac{b}{2a}*2a\\\\2ax=-b\\\\Divide\ through\ by\ 2a\\\\2ax/2a=-b/2a\\\\a=-\frac{b}{2x}[/tex]

The value of a when solved from x = -b/2a is;

a = -b/2x

We are given the formula for axis of symmetry of a quadratic equation to be;

x = -b/2a

Where;

a and b are coefficients in the quadratic equation

x represents the values along a vertical line on the coordinate plane.

Now, we want to solve for a which means we make it the subject of the equation;

Using multiplication property of equality, we multiply both sides by 2a to get;

2ax = -b

We now use division property of equality by dividing both sides by 2x to get;

a = -b/2x

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Hello!

Answer:

[tex]\huge\boxed{100 : 9}[/tex]

If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).

Therefore:

10 : 3 ⇒ (10)² : (9)²

100 : 9 is the ratio of the areas.

I hope this helped you! :)

Ratio of the corresponding sides of rectangle

➾ 10 : 3

Areas will by in the ratio of 10² : 3²

➾ 100 : 9

let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b

So second rectangles sides be 3 l and 3b

➾ The area will be 9 × l × b

So the ratio of areas

➾100lb : 9lb

➾ 100 : 9

Answer:

Step-by-step explanation:

3x(x - 2y) - 4(x - 5y) = 3x*x - 3x*2y  + x*(-4) - 5y*(-4)  {Distributive property}

                               = 3x² -  6xy - 4x + 20y

Step-by-step explanation:

0 10

0-6

this is the answer. I am sure

The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

Number line is shown in figure.

And, We have to find the value of numbers which are a distance of 2 units from 8 on a number line.

Now,

We can find the value of numbers as;

⇒ | 8 - 2 | = 6

⇒ | 8 + 2 | = 10

Therefore, The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.

Learn more about the number line visit:

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Answer:

B

Step-by-step explanation:

B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.

Answer:

C) C < 4

Step-by-step explanation:

because c is on the right side of four on the number line

Answer:

9.46×10¹²

Step-by-step explanation:

To express that number in scientific notation you have to move the invisible decimal point from the end to the left in between the first and second number to the left

9460000000000

9.46×10¹²

i hope this helps and if you have any more questions please feel free to ask.

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

[tex]\sin(\theta)=10.2/15[/tex]

Solve for θ. Use a calculator:

[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]

The answer is D.

Answer:

18 metres

Step-by-step explanation:

4.5/6 = x/24

¾= x/24

x = 18 m

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

[tex]tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters[/tex]

and for the other one:

[tex]tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters[/tex]

The the distance between the stadiums is the difference:

b - a = 3405.7  - 290.6 meters = 3115.1  meters

Answer:

n^2-8 is the answer

Step-by-step explanation:

Answer:

Add 7x to each side

Step-by-step explanation:

-8 - 7x = -5x - 10

Add 10 to each side

-8 - 7x+10 = -5x - 10+10

2 -7x = -5x

Add 7x to each side

2-7x+7x = -5x+7x

2 = 2x

Answer: See below

Step-by-step explanation:

[tex]-8 - 7x = -5x - 10[/tex]

I believe it is adding 8 on both sides

The next step after adding 8 on both sides is adding 5x on both sides

[tex]-7x=-5x-2[/tex]

[tex]-7x+5x=-5x-2+5x[/tex]

[tex]-2x=-2[/tex]

x=1

Answer:

f⁻¹(-2) = 3 and f⁻¹(1) = 0.

Step-by-step explanation:

By the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]

From the table, note that f(3) = -2.

Then by definition, f⁻¹(-2) = 3.

Likewise, f(0) = 1.

Then by definition, f⁻¹(1) = 0.

Step-by-step explanation:

|8| + |-3| - |-7|

= 8 - 3 + 7 = 12

There are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Factors can be define splitting the value in multipliable values.

Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3

Perfect squares can be formed by above factors are
= 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Thus, there are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

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Complete question:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill

The solution x=60 represents the total food bill

Step-by-step explanation:

Given the following :

Total amount spent = $76

Amount paid as tip = $16

Number of friends = 8

Total Cost of lunch consists of:

Actual Cost of food + amount of tip

Let actual cost of food = x

Total cost of lunch is thus :

x + $16 = $76

If the friends are to each the bill equally:

Then:

Divide both sides by 8:

(1/8)* (x + 16) = 76/8

Therefore,

(x + 16) / 8 = 76/8

x + 16 = 76 / 8

(x + 16)/8 = 9.5

x + 16 = 9.5 * 8

x + 16 = 76

x = 76 - 16

x = 60

Answer:

A

and

C

Step-by-step explanation:

Answer:

N1356

Step-by-step explanation: I hope it helps :)

[tex]Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5[/tex]

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5