MATHEMATICS HIGH SCHOOL

A student factors 3x2 – 12 to the following. 3(x2 – 4) Which statement about 3(x2 – 4) is true? A. The expression is equivalent, and it is completely factored. / B.The expression is equivalent, but it is not completely factored./ C. The expression is not equivalent, but it is completely factored./ D.The expression is not equivalent, and it is not completely factored.

Answers

Answer 1

Answer:

Answer:

Option B is correct that is the expression is equivalent, but it is not completely factored.

Step-by-step explanation:

We have given an expression

$3x^2-12$

when we take the common factor out which is 3 from the expression we will get

$3(x^2-4)$

This expression is equivalent but is not completely factored because the term

$(x^2-4)\text{can be further factored as}(x-2)\text{and}(x+2)\text{from the formula}a^2-b^2=(a+b)(a-b)$

Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent

Option A is discarded because expression is not completely factored.

Answer 2

Answer: B. The expression is equivalent but not completely factored.

You can continue to factor

3 (x^2-4) =

3 (x+2)(x-2)

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D = -38t + 220Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second?

Answers

Rachel's speed is 38 m/s.

What is Equation?

Equations are mathematical statements with twoalgebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

D = -38t + 220

So, t = 1

D = -38t + 220

D = -38(1) + 220

D = -38+ 200

D = 182 m

So, v = $(D_0 - D_1)$ / t

v = ( 220- 182) /1

v = 38 m/s

Hence, Rachel's speed is 38 m/s.

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Answer: 38 meters per second

Step-by-step explanation:

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'?A)
1
676

B)
2
13

C)
2
26

D)
3
26

Answers

The probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that you have 26 cards, each labelled with a letter of the alphabet.

The probability of drawing a card that contains one of the letters in the word 'MATH' is calculated as:-

Probability = Number of favourable outcomes / Number of samples

Probability = 4 / 26

Probability = 2 / 13

Therefore, the probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

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B) 2 13 because there are 4 letters in the word "math" meaning 4 probabilities af drawing one of those cards. 4/26 is simplified to 2/13

i need help asap! ONLY GIVING BRAINLIEST TO CORRECT! If your answer is not correct, im deleting it :)) I NEED TO GET THIS CORRECT thank youu

Answers

Answer:

Step-by-step explanation:

The candle is cylindrical in shape.

The formula for determining the volume of a cylinder is expressed as as

Volume = πr²h

Where

π = 3.14

r represents radius of the cylinder and also the candle

h represents the height of the cylinder and also the candle.

Looking at the diagram,

r = 4 cm

h = 6 cm

Volume of candle = 3.14 × 4² × 6

= 301.44 cm³

Looking at the table,

60 cm³ of the candle melts off in 2 hours, it means that the in one hour, the volume of candle that melts off would be 60/2 = 30cm³

Therefore, in 7 hours, the volume of candle that would melt off is

30 × 7 = 210 cm³

Therefore, the percent of candle that is melted off after 7 hours would be

210/301.44 × 100 = 69.67%

Approximately 70% to the nearest percent.

Answer:

After 7 hours about 70% of the candle was melted

an expression is shown: 8^2/(-4)^2+(-1/2) x 2^3 group of answer choices 64/-8 + 6/-2 -11 64/16 +8/-2 0

Answers

Answer:

Step-by-step explanation:

To simplify the given expression, let's follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

First, we have exponents:

8^2 = 8 * 8 = 64

(-4)^2 = -4 * -4 = 16

2^3 = 2 * 2 * 2 = 8

Next, let's evaluate the multiplication:

(-1/2) x 2^3 = (-1/2) x 8 = -4

Now, we can perform the division:

8^2 / (-4)^2 = 64 / 16 = 4

Finally, let's simplify the expression by performing the remaining additions and subtractions:

4 + (-4) = 0

Therefore, the correct answer is 0.

Given: ΔQRS ≅ ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV.Question 19 options:

2

8

20

9