First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)
Answer:∠KJG and ∠FGJ
Step-by-step explanation:
Alternate interior angles are diagonal from each other and are the same value.
The <u><em>correct answer</em></u> is:
15 weeks
Explanation:
Let w be the number of weeks. Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.
Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.
To determine how many weeks it will take them to weigh the same, we set the two expressions equal:
150+2w=195-1w
Add 1w to each side:
150+2w+1w = 195-1w+1w
150+3w = 195
Subtract 150 from each side:
150+3w-150 = 195-150
3w = 45
Divide each side by 3:
3w/3 = 45/3
w = 15
The summary of directions of the parabola is:
a) Squared term is x
Parabola either opens up or down.
Positive coefficient means upward opening and negative coefficient means downward opening
b) Squared term is y
Parabola either opens right or left
Positive coefficient means rightwards opening and negative coefficient means leftwards opening
Since the coefficient is positive with squared x term, the parabola opens upward.
So the answer to this question is option D
Answer:
53/50
Step-by-step explanation:
9/15 + 14/12
Simplify.
9/15 + 7/6
Make denominators equal.
54/90 + 105/90
Add fractions since denominators are equal.
159/90
Simplify.
= 53/50