Factor completely 3x2 − x − 4.

Answer:

The value of [tex]x[/tex]:

[tex]x = 44[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]2(x + 10) = 3(x-8)[/tex]

Use Distributive Property:

[tex]2(x + 10) = 3(x-8)[/tex]

[tex]2x +20 = 3x - 24[/tex]

-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:

[tex]2x +20 - 3x = 3x - 3x - 24[/tex]

[tex]-x + 20 = -24[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]-x + 20 - 20 = - 24 - 20[/tex]

[tex]-x = -44[/tex]

Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]

[tex]x = 44[/tex]

So, the final answer would be [tex]x = 44[/tex].

Answer:

x=6

Step-by-step explanation:

Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:

[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]

Hope this helps!

Answer:

6

Step-by-step explanation:

By Pythagoras theorem

10^2 = 8^2 + x^2

100= 64 + x^2

X^2 =100-64

X^2= 36

[tex]x = \sqrt{36} \\ x = 6[/tex]

Hope this helps..

Answer:

perfect square number

Step-by-step explanation:

When simplifying square root expressions, look for any perfect square
that can be pulled out of the radical.

Given that,

When simplifying square root expressions, look for any ___________ that can be pulled out of the radical. blank space to be filled.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
When simplifying the square root we see the number that is perfect squares, because only a perfect square can be pulled out from the square root.

Thus, When simplifying square root expressions, look for any perfect square that can be pulled out of the radical.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]

Answer:

5^1

Step-by-step explanation:

5^6/5^5

5^(6-5)

5^1

Answer:

5

Step-by-step explanation:

5^6=15625

5^5=3125

15,625/3,125=5

Hope this helps!

Answer:

23 students

Step-by-step explanation:

In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.

Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.

Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4

Those that read maths and physics only = 12 - 4 - 4 - 1 = 3

Those that read physics only = 11 - 3 - 4 - 3 = 1

The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students

Answer:

a) 14

b) green

c) fraction 6/14

percentage: 42.8% rounded: 40%

not sure about the decimal tho

Answer:

a) 14

b) green

c) 6/14

d)percent 42.8 %

round up 40 %

Answer:

9.12 x time x kilowatt

Step-by-step explanation:

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

Answer:

(3)(6)

Step-by-step explanation:

i did the test

Answer:

59.09%

Step-by-step explanation:

You find it through the following formula:

Part divided by whole times 100.

Substitute it and you get the answer:

130 / 220 times 100 = 59.09

What question are you needed answers to?

Answer:

square table, round tables and 12

Step-by-step explanation:

The variable x represents the number of

✔ square tables

.

The variable y represents the number of

✔ round tables

.

If y = 9, find the value of x. The committee needs

✔ 12

square tables.

Answer:

1)4

2)5

3)6

Step-by-step explanation:

1)2x+5=3x+1

2x-3x=1-5

-1x=-4

x=4

2)3x+2=4x-3

3x-4x=-3-2

-1x=-5

x=5

3)4x-3=3x+3

4x-3x=3+3

1x=6

x=6

Hope it helps

Answer:

44,886 gallons

Step-by-step explanation:

We need to find the volume

V = l*w*h

V = 30ft*25ft*8ft

V =6000 ft^3

We know that 1 ft^3 = 7.481 gallons

6000 ft^3 * 7.481 gallons/1 ft^3 = 44886 gallons

Answer:

44,883 gallons

Step-by-step explanation:

The amount of water the pool can hold can be found by calculating the volume of the pool.

We know that the pool is rectangular, and it is a three dimensional shape (3 dimensions: length, width and depth). Therefore, we can use the formula for finding the volume of a rectangular prism:

V=l*w*h

We know the length is 30 feet and the width is 25 feet. The height is also the depth, so the height is 8 feet.

l= 30 feet

w=25 feet

h= 8 feet

Substitute these values into the formula.

V= 30 feet * 25 feet * 8 feet

Multiply the numbers together.

V= (30 feet * 25 feet) * 8 feet

V= 750 feet^2 * 8 feet

V=6000 feet^3

Now, let's find how many gallons the pool can hold.

1 ft^3 is equal to 7.4805 gallons. Therefore, we can multiply 6000 ft^3 and 7.4805

6000 ft^3 * 7.4805 gallons/1 ft^3

6000* 7.4805 gallons

44,883 gallons

The pool can hold 44,883 gallons of water.

Answer:

Distribute -1/2 over (x - 4)

Divide both sides of the equation by -2

The first step to begin to simplify the equation is to multiply both sides of the equation by -2

To find the first step to simplify the equation.

The given equation

=-1/2(x + 4) = 6

First, we will multiply both sides of the equation by -2

we get,

x + 4 = -12

x = -12-4 = -16

Hence, the value of x is -16.

Therefore, the first step is to multiply both sides of the equation by -2.

To learn how to find the first step to simplify the equation, refer:

#SPJ2

Answer

0

Step-by-step explanation:

A horizontal line  has a slope of 0 always

Answer:

135ft^3

Step-by-step explanation:

Multiply all of the numbers to get your answer.

Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

Answer:

913/100 and 10/10000

Step-by-step explanation:

913/100 = 9.13

10/10000 = 10^-3

9.13 x 10^-3 = 0.00913

Answer:

0.00913

Step-by-step explanation:

9.13 x 10-3 as an ordinary number means eliminating the standard form.

10^-3 is 1/1000

Hence 9.13 x 10-3 = 9.13 × 1/ 1000

9.13/1000= 0.00913

Answer:

g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Step-by-step explanation:

The statement that best compares the graph of  g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:

Given the function

f(x) = x²  and g(x) = (1/4x)² the image of f(x) after one transformation.  

The transformation shows that g(x) stretches away from y-axis.  

Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).

Then we use the scale factor to divide g(x)

1 ÷ ¼ = 1 x 4/1 = 4  

So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Answer:

140 units^2

Step-by-step explanation:

Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.

A = bh

A=14(10)

A=140units^2

Answer:

39 degrees

Step-by-step explanation:

It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.

Answer:

b = 39°

Step-by-step explanation:

The box means that it is a right angle and a right angle means it is 90 degrees.

90 degrees - 51 degrees = 39 degrees

b = 39°

Answer:  56

Step-by-step explanation:

There are 8 pieces of fruit to choose from.

When you choose the next piece, there are only 7 pieces remaining to choose from.

First pick    and     Second pick

     8             x         7 remaining   =   56

Answer:

For every rap song Ling listened to, she listened to 3 country songs.

Ling listened to 3 times as many country songs as rap songs.

Ling listened to a ratio of 4 rap songs to 12 country songs.

Step-by-step explanation:

Answer:

2,3,4

Step-by-step explanation:

Answer:

477 yards

Step-by-step explanation:

1 foot to a yard is 0.333333.

1431 times 0.333333=477yards

Answer:

(x-1/3) is one of the factors

Step-by-step explanation:

Using the reverse of the zero product property

(x-a) = 0  where a is one of the roots

x-1/3 = 0

(x-1/3) is one of the factors

Answer:

x-1/3) is the answer

Step-by-step explanation:

zero product property

Answer:

zdsczsczscs

Step-by-step explanation:

Answer:

0.1875 as a decimal and 18.75% as a percent

Step-by-step explanation:

0.1875 is the decimal. Move point over 2 spots right to get percent.

Answer:

option 3

Step-by-step explanation:

[tex](\sqrt[3]{8})^{\frac{1}{4}x}=(8^{\frac{1}{3}})^{\frac{1}{4}x}\\\\=8^{\frac{1}{3}*\frac{1}{4}x}\\\\=8^{\frac{1}{12}x}\\\\=\sqrt[12]{8}^{x}[/tex]

Answer:

It's constant

Step-by-step explanation:

at those points, the graph is going ---------------- so, it is constant.

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