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Fittoniya [83]
3 years ago
7

Factor: 2a^2-ab-6b^2

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Rewrite the expression as

2a^2-4ab+3ab-6b^2

Factor 2a from the first two terms and 3b from the last two:

2a(a-2b)+3b(a-2b)

Factor a-2b

(a-2b)(2a+3b)

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Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?
kherson [118]

Answer:

0.50 cent per ounces

Step-by-step explanation:

0.50 cent per ounces

8 0
2 years ago
Suppose f is a continuous function on [-2, 2) such that
Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

a. f(c)=0 for some c in (-2,2).

According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.

b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

f(2)-2

-1-1=-3  lower limit

f(-2)+2

1+2=3 higher limit

according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.

The final answer is then 2. a and b only.

4 0
3 years ago
What number should be added to 95 to get a sum of 73
agasfer [191]
95 + x = 73
95 + -22 = 73
x= -22
The answer is -22.
5 0
3 years ago
Decide whether quadrilateral JKLM is a rectangle, a rhombus, or a square. More than one answer may apply!
NARA [144]

Answer:

Square.

Step-by-step explanation:

given J(-4,2) || K(0,3) || L(1,-1) || M(-3,-2)

given below the visual answer.

OR

you can find the distance of coordinate to coordinate:

Distance of JK

√(-4-0)² + (2-3)²

√17

Distance of KL

√(0-1)²+(3--1)²

√17

Distance of LM

√(1--3)²+(-1--2)²

√17

Distance of MJ

√(-3--4)²+(-2-2)²

√17

All sides are similar of √17 , so its a square.

4 0
2 years ago
Read 2 more answers
1. Find the perimeter.<br> 13 yd<br> 14 yd<br> 7 yd<br> 18 yd
nikdorinn [45]

Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

13 + 14 + 7 + 18 = 52

4 0
3 years ago
Read 2 more answers
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