Answer:
Option B , D and E are correct.
Step-by-step explanation:
We set the denominator equal to zero to find the number to put in division box
So, if 3 is in the division box then the denominator will be
x-3 = 0 => x=3 is the root.
So, Option E is correct
2x^2-2x-12 ÷ x-3 = 2x+4 is correct.
because after division the result given is 2x+4 which is correct.
So, Option B is correct
x-3 is a factor of 2x^2-2x-12 because because when the term is divided we get the remainder 0.
So, Option D is correct
So, Option B,D and E are correct.
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 2

Putting y=3.5 in Eqn 1

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
The area of the larger is 36 units^2
Step-by-step explanation:
The scale factor is 6/3 = 2
When we work with areas, it is scale factor squared
scale factor ^2 = area of larger / area of smaller
2^2 = area of larger / 9
4 =area of larger / 9
Multiply each side by 9
4*9 = 36
The area of the larger is 36 units^2
Answer:
The interval notation of the inequality x < -3 is:
a) (-3, +0)
b) (-00, -3)
c) (-00,-3]
Please help me now!
Well, we know that she could only bend her knee 30 degrees from the start.
And after six weeks of therapy, she can bend it 108 degrees.
So that means: 108 - 30 = 78 degrees more.