Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?
a; {2.5, 3, 4.5}
b; {1, 2.5}
c; {3, 4.5, 5}
d; {4.5, 5}

The correct Options are : C; {3, 4.5, 5}

Step-by-step explanation:

3a + 4 ≥ 13

Subtracting 4 from both the sides

⇒ 3a + 4 - 4 ≥ 13 - 4

⇒ 3a ≥ 9

Dividing by 3 both the sides

⇒ a ≥ 3

Therefore, The numbers from the set are : 3 , 4.5 , 5

Thus, The correct Options are : C; {3, 4.5, 5}

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.