Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

(3 – 7x)(x2 – 3)
(7x – 3)(3 + x2)
(3 – 7x2)(x – 3)
(7x2 – 3)(3 + x)

Answer:

C

Step-by-step explanation:

You find y-intercept x=0

Answer:

The square root of 4489 is:

Step-by-step explanation:

To find the square root by división method you must do the next:

1. you write the square root:

[tex]\sqrt{4489}[/tex]

2. You separe the number inside the square root in groups of two digits, begining by the right (in this case doesn't matter, because we have 4 digits, but remember this when the number has an odd number of digits):

√44 89

3. You must find a whole number which squaring gives us a number equal to or less than our first pair of digits (44), in this case is 6, because 6*6 = 36 and, if we take 7, 7*7 = 49 (we would pass):

√44 89 ║6

4. Now, we subtract the squaring of the number obtained to our first pair of digits:

√44 89 ║6

-36

= 8

5. We duplicate the root obtained (6) and we lower the next pair of digits next to the result of the previous subtraction, but this time we make pairs of digits from the left:

√44 89 ║6

-36       ║12

= 88 9

6. We divide 88 (our pair of digits) in 12 (the double of the obtained root):

88 ÷ 12 = 7.3333333 (we approximate to 7)

7. We put the number obtained in the division (7) to the right side of the double of the obtained root (12) and we multiply by this too:

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

8. we subtract the number obtained in the multiplication to the digits we order in pairs (889):

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

9. We raise the number that we multiply by twice the previous root found, as another digit of the root:

√44 89 ║67

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

As you can see, the square root of 4489 with this method gave us the result 67.

Step-by-step explanation:

multiply 455 by 0.20

convert percentage to decimal

20% = 0.20 ( multiply by 10^-2)

why does this work?

convert to a fraction

20/100 ( this is also how you get decimal)

simplify 20/100 = 1/5

so multiplying 455 by 0.20 is the same as dividing by 5

Answer:

43 4445 itmean near divide by 5

Answer:

its the second one

Step-by-step explanation:

Now we find for x,

[tex] \sf \implies x = 2 + {2}^{2} [/tex]

[tex] \sf \implies x = 2 + 4[/tex]

[tex] \sf \implies \: x = 6[/tex]

Hence, the exact value of x is 6.

Answer:

the exact value of x= 6

hope it is helpful to you

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

[tex]V = a^2h\\\\4096 = a^2 h ..... (1)[/tex]

surface area of the solid  

[tex]S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches[/tex]

So, h = 40.2 inches

Answer:

10 and 10

10 and 5

10 and 3

5 and 3

3 and 5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Given data

Total melon= 1 1/2

In simple fraction= 3/2

DIvide 3/2 by 2

= 3/2/3

=3/2 * 1/3

=3/6

= 1/2

Hence each person will get 1/2 of  the whole water melon

Answer:

66

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The angle you're looking at is a Right Angle, and is 90 degrees. And the equation "-5 + 95" is the same as "95 - 5" which equals out to 90 degrees.

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]             ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

[tex]15=k(5)[/tex]

[tex]\dfrac{15}{5}=k[/tex]

[tex]3=k[/tex]

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

[tex]y=3x[/tex]              ...(ii)

Substituting x=24 in (ii), we get

[tex]y=3(24)[/tex]

[tex]y=72[/tex]

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

[tex]108=3x[/tex]

[tex]\dfrac{108}{3}=y[/tex]

[tex]36=y[/tex]

Therefore, the value of x is 36 when y is 108.

Answer:do 142 times 20 which is 2840 times 0.35 which is 994 I think not sure

Step-by-step explanation:

Answer:

Total number of customers = 143/35% = 409 approximately

Step-by-step explanation:

If the trend did not change yesterday, we estimate that 143 customers constitute 35% of the total number.

So

Total number of customers = 143/35% = 409 approximately

Answer:

Hello! answer: 96

Step-by-step explanation:

8 × 3 = 24 24 ÷ 2 = 12

5 × 4 = 20

8 × 8 = 64

12 + 20 + 64 = 96

Hope that helps!

Answer:

2n - 2

Step-by-step explanation:

rewrite without parentheses, pretend there is a 1 between the minus sign and the open parentheses that has to be distributed:

3n - 1(2 + n)

3n - (1)(2) + (-1)(n)

3n - 2 - n

combine 3n and -n to get 2n

2n - 2

Answer:

[tex]2n - 2[/tex]

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression:

[tex]3n - 2 - n[/tex]

Combine like terms:

[tex]3n - n - 2 \\ 2n - 2[/tex]

Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: [tex]\left(12a\right)^{7/10}[/tex]

Step-by-step explanation:

We can use the exponent property [tex]a^b\cdot a^c=a^{(b+c)}[/tex] to solve this problem.

Substituting given values, we get:

[tex]4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}[/tex]

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: [tex]12a^{\frac{7}{10}}[/tex]

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

Answer: 24ft

Step-by-step explanation:

The exercise gives you the following formula:

Where "h" is the height of the square pyramid and "x" is the length of one side of the base.

According to the data given, you know that:

Therefore, you can subsitute these values into the formula:

Now, you need to solve for the "x" to calculate the length of one side of the square base of that pyramid.

Answer:

Below

Step-by-step explanation:

To find the answers for the table, you must plug in each x value into the equation and get your y value:

x = -1

(-1^2)-(4*-1)-1

=

1+4-1

=

4

When x = -1, y = 4

x=0

(0^2)-(-4*0)-1

=

-1

When x = 0, y = -1

x = 1

(1^2)-(4-1)-1

=

1-4-1

=

-4

When x = 1, y = -4

x = 2

(2^2)-(4*2)-1

=

4-8-1

=

-5

When x = 2, y = -5

x = 3

(3^2)-(4*3)-1

=

9-12-1

=

-4

When x = 3, y = -4

I made a graph of this shown below.

I also created a table, that answrs your question below.

Hope this helps!

Answer:

10-15=15

do the same with all of them

Step-by-step explanation:

Answer:

x-12≤7

x≤19

Step-by-step explanation:

less than means it comes after

x-12

is at most means less than or equal to

x-12≤7

Add 12 to each side

x-12+12≤7+12

x≤19

Answer:

X - 12 ≤ 7; X ≤ 19

Step-by-step explanation:

Using the keywords less than, at most, and 'a number' we can identify the expression.

Now let's solve for x:

x - 12 ≤ 7

+12      +12

X ≤ 19

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3 ÷ x = 6

Step 2: Solve for x

Answer:

130 degree of 2 and 8

Step-by-step explanation:

I think so

Answer:

130

Step-by-step explanation:

Have a nice day

Answer:

D

Hope that this helps!

Answer:

30 or 5

Step-by-step explanation: