MATHEMATICS HIGH SCHOOL

Which expression is equivalent to the given expression (-4abc)3

Answers

Answer 1
Answer:

Answer:

-64a^3b^3c^3

Step-by-step explanation:

(-4abc)^3= (-4)^3(a)^3(b)^3(c)^3

=-64a^3b^3c^3
Answer 2
Answer:

Answer:

-12abc

Step-by-step explanation:

Multiply

-4(3) = -12

Since 3 doesn't have any variable such as a, b, or c, then the variable next to -4 doesn't change

Therefore your answer is -12abc

Hope this helps!

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Lamar's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 34 sodas in all, 17 of which were regular. What percentage of the sodas were regular? A. 25% B. 35% C. 50% D. 75%

Answers

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Step-by-step explanation: 17 is half of 34

What is the fraction 18/24 reduced to its lowest terms? A. 9/12
B. 3/4
C. 24/18
D. 18/24

Answers

First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

(3)/(4)

The answer is (b).
\boxed{ (18^(/6))/(24^(/6)) ~\to~ (3)/(4) }

Blake knows that one of the solutions to x^2- 6x + 8 = 0 is x = 2. What is the other solution

Answers

If one solution of the equation is 2, then the other solution of the equation will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

x² - 6x + 8 = 0

Then the factorization of the equation will be

x² - 6x + 8 = 0

x² - 4x - 2x + 8 = 0

x(x - 4) - 2(x - 4) = 0

(x - 4)(x - 2) = 0

x = 2, 4

If one solution of the equation is 2, then the other solution of the equation will be 4.

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

brainly.com/question/545403

#SPJ6
This is what is called a quadratic equation, using the formula he got x = 2, using the quadratic we can find the other answer, after using the formula you get 2 answers, which are x= 4 and 2, we already have 2 so the other solution is x = 4 :)

Finding the size of a billboard on side of road with unknown number or variable

Answers

Let's say the number is 5. 5 represents w or width. If the rule is w*8=h, then we just use 5*8, because the h is 8*w, which is 5. Follow this rule to solve these types of problems. Hope this helped!

What is the logarithmic form of the equation e3x ≈ 3247?

Answers

e^(3x) = 3247

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The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Answers

The\ slope-point\ form:y-y_0=m(x-x_0)\ where\ m\ is\ a\ slope\n\nIf\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\n\nk\perp l\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n\ntherefore\nthe\ slope\ of\ line\ CD:y-3=-2(x-4)\ is\ m_1=-2\ and\ the\ slope\nof\ a\ line\ prpendicular\ to\ CD\ is\ m_2=-(1)/(-2)=(1)/(2)

Answer: 1/2
(y-3)=-2(x-4)
(y-3)= -2x+8
y= -2x+11
perpendicular slopes are always reciprocals and opposite so the slope would be
slope=1/2
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