Please help me witg the one that has a checkmark

Mathematics

2 answers:

Firdavs [7]3 years ago

8 0

You distribute 8.
So 8 * h = 8h
8 * 1.5 = 12
So your answer is 8h + 12

Maslowich3 years ago

5 0

Take 4 as common and you get answer

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Let f(x) =4x-1 and g(x) = 2x^2 + 3 (fg)(x) , f/g(x), g/f(x)

sveta [45]

F(x) = 4x - 1
g(x) - 2x² + 3

(f · g)(x)
(f · g)(x) = (4x - 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) - 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) - 1(2x²) - 1(3)
(f · g)(x) = 8x³ + 12x - 2x² - 3

(f/g)(x)
(f/g)(x) = 4x - 1
 2x² + 3

(g/f)(x)
(g/f)(x) = 2x² + 3
 4x - 1
(g/f)(x)= ¹/₂x + ¹/₈ + 3¹/₈ 
 4x - 1

6 0

4 years ago

Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is t

Nadya [2.5K]

Answer:

Option 1.

The solution set is: {n|n is a real number, n≥3}

Step-by-step explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number $n$ multiplied by 2 and subtract 1 from this term, as following:

$2n-1$

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

$2n-1\geq5$

3. Now, you can solve for $n$ . Then, you obtain:

$2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3$

4. Then, the solution set is: {n|n is a real number, n≥3}.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is $\leq$ or $\geq$ ) with a line from that circle to the right.