3(1)+4<span>≥ 13
7</span><span>≥ 13
No
3(2.5)+4</span><span>≥ 13
11.5</span><span>≥ 13
No
3(3)+4</span><span>≥ 13
13</span><span>≥ 13
Yes
{3, 4.5, 5}</span>
Answer:
534. 75
Step-by-step explanation:
let the income of kellys sister be x
kellys income=x+15% of x
=23x over 20
x+23x/20=999. 75
or, x=465
kellys income=23×465/20
=534. 75
Answer: 9. x=-3/2 10. x=2
x= 5/2 x=5/3
Step-by-step explanation:
9. Factor the equation:
How: put 4x^2 in the bottom left box and -15 in the upper right box.
then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.
Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6
-10 x 6 = -60
-10 + 6 = -4
Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.
I attached a picture. The colored dots correspond with each other.
Eg: Orange dot x orange dot = number in white square
Now you get the two factors (2x+3)(2x-5)
Set both of these equal to 0 and solve
0=2x+3 0=2x-5
x= -3/2 x= 5/2
Do the same for the other problem
The easier way to multiply 2/15 by 3/20 will simply be by multiplying the numerators and denominators.
In order to multiply 2/15 x 3/20, we can simply multiply the numerator and the denominator. This will be
= 2/15 × 3/20
= 6/300
= 1/50
Also, in order to multiply the fractions, we can change them to decimal first. This will be:
= 2/15 × 3/20
= 0.133 × 0.15
= 0.01995
In conclusion, multiplying the numerators and denominators is easier and faster.
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