Write 99 as a product of primes.
Use index notation when giving your answer.
Do

Answer:

[tex]y = 2 \\ {0 \: and \:2}[/tex]

Step-by-step explanation:

-2 + 2(3) =-2 +6 = 4 for the 2nd equation

2(-2) + 4(3) = -4 +12 = 8 for the 2nd equation

(-2,3) satisfies both equations

let x = 0, then y= 2 (0,2) is another solution

there's multiple solutions, including (-2,3) and (0,2). That eliminates all answers except the first

Try graphing the two equations. They're the same line, with an infinite number of points on the line, which means an infinite number of solutions.

Answer:

infinite number of solutions

Step-by-step explanation:

Given the 2 equations

2x = 4y + 8 → (1)

x - 2y = 4 → (2)

Rearrange (2) making x the subject by adding 2y to both sides

x = 4 + 2y → (3)

Substitute x = 4 + 2y into (1)

2(4 + 2y) = 4y + 8 ← distribute and simplify left side

8 + 4y = 4y + 8

Since both sides are the same this indicates the system has an infinite number of solutions.

one possible solution is, found by choosing a value for y and substituting into (3)

y = 1 : x = 4 + 2(1) = 4 + 2 = 6 , that is

(6, 1 )

Other possible solutions may be generated in the same way.

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:

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:

1. the coefficient is 8

2. the coefficient is 3

3. the coefficient is 1

4. the coefficient is 14

Answer:

3

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

let [tex]log_{5}[/tex] 125 = n , then

125 = [tex]5^{n}[/tex] , that is

5³ = [tex]5^{n}[/tex]

Since the bases on both sides are equal, both 5 then equate the exponents

n = 3

Answer: 40 cm, 20 cm, 10 cm

Step-by-step explanation:

Given

Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]

Length of cuboid is [tex]4x[/tex]

width of cuboid is [tex]2x[/tex]

Height of cuboid is [tex]x[/tex]

Volume of cuboid is given by

[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]

[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]

Length =40 cm

width =20 cm

Height =10 cm

Answer:

y = [tex]\frac{20}{21}[/tex] x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = [tex]\frac{20}{21}[/tex]

y = [tex]\frac{20}{21}[/tex] x² ← equation of proportion

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:

-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:

Step-by-step explanation:

-20=2(n-3)

-20=2*n-2*3

-20=2n-6

-20+6-2n

-14/2=n

-7=n

Answer:

n = -7

Step-by-step explanation:

- 20 = 2(n − 3)

divide by 2

-10 = n-3

transpose

-10 + 3 = n -3 + 3

n=-7

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:

Area = .5 * side 1 * sine (A) * side 2

Area = .5 * 100 * sine (54) * 88

Area = 4,400 * 0.80902

Area = 3,559.688

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

6^2 + 8^2  = x^2

36 + 64 = x^2

100 = x^2

[tex]\sqrt{100} = \sqrt{x^2}[/tex]

x = 10

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x²

100 = x²

x² = 100

√x² = √100

x = 10

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: one variable decreases as the other increases

Step-by-step explanation:

Answer:

Number of items is x, and cost is y

Step-by-step explanation:

Number of items would be the x quanitity because it illustrates the quantities supplied which is the independent variable. The cost is always on the y axis because it shows the minimum price that a supplier would accept for a given quantity meaning it's the dependent variable.

I know that may be confusing but that's the only way to explain it.

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:

Step-by-step explanation:

2.9 * 3.14 = 9.11 circumference

660.52 Area

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:

30 or 5

Step-by-step explanation:

Answer:

x^4+4x^3+8x^2+8x-5

Step-by-step explanation:

Answer:

43 4445 itmean near divide by 5

Answer:

its the second one

Step-by-step explanation:

Answer:

10-15=15

do the same with all of them

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