Perform the indicated operation and write and standard form. -7i(6i-3)

Answers

Answer 1

Answer: -7i (6i - 3)

Perform the distributed multiplication to eliminate the parentheses:

-7i (6i) - 7i (-3) = -42i² + 21i

IF i = √-1 , then the expression is equal to (42 + 21i) or 21(2 + i) .

Answer 2

Answer: $-7i(6i-3)=\n -42\cdot(-1)+21i=\n 42+21i$

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What is the simplist form of 240/1000

Answers

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

Solve the equation: 7x = 42.
A. x = – 7
B. x = – 6
C. x = 6
D. x = 7

Answers

7x=42
Divide both sides by 7
42÷7 =6
6 x 7 = 42
C. x = 6

7x = 42

7x/7 = 42/7
x = 42/7
x = 6

Answer: x = 6

What is the domain of the function y=3√6x+42 A. x ≥ 0
B. x ≤ 7
C. x ≥ –6
D. x ≥ –7

Answers

Answer: The correct option is (D) $x\geq -7.$

Step-by-step explanation: We are given to find the domain of the following function:

$y=3√(6x+42)~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The domain of a function y = f(x) is the set of all possible x-values which will make the function defined or will output real y-values.

That is, for the function (i), the domain will be given by all those values of x for which $3√(6x+42)$ is real.

Now, the values of y will be real only if the expression under square root is greater than or equal to 0.

Therefore, the domain of function (i) is

$√(6x+42)\geq0\n\n\Rightarrow 6x+42\geq 0\n\n\Rightarrow 6x\geq -42\n\n\Rightarrow x\geq -(42)/(6)\n\n\Rightarrow x\geq -7.$

Thus, the domain of the given function is $x\geq -7.$

Option (D) is CORRECT.

The domain of the function:
y = 3 √ ( 6 x + 42 )
6 x + 42 ≥ 0
6 x ≥ - 42
x ≥ - 42 : 6
x ≥ - 7
Answer:
The domain is D ) x ≥ - 7

Multiply. Write your answer in simplest form.

5/12 x 4/5

Answers

$(5)/(12) * (4)/(5)$
The fives cancel each other and the four goes into the twelve and leaves 3
$(1)/(3) * (1)/(1) = (1)/(3)$

What is the prime factorization of 1,260? A. 2 × 2 × 3 × 3 × 5 × 7
B. 4 × 5 × 7 × 9
C. 2 × 3 × 5 × 6 × 7
D. 2 × 3 × 5 × 7

Answers

A. 2*2*3*3*5*7

Whilst B and C both also yield 1,260, they aren't broken down in to their prime factors. In B, 4 can be broken down in to 2*2 and 9 in to 3*3, and in C, 6 can be broken down in to 2*3

And D just doesn't total 1,260

Answer:

A.2x2x3x3x5x7

Step-by-step explanation:

Penn foster

Write the function for the graph.f(x)
10-
(1,8)
(0,4)
A. f(x) = 4 . (2)
B. f(x) = 8. (4)*
C. f(x) = 4. (8)*
D. f(x) = 2 · (4)

Answers

Answer: A. f(x) = 4 . (2)

Step-by-step explanation: Disregard answer above. I took the quiz and it was wrong.

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