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Tcecarenko [31]
3 years ago
7

Which the following expressions is equivalent( a + b)(a-b)?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

Step-by-step explanation:

(a+b)(a-b)=a^2-b^2

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PLEASEEEE HURRY
nika2105 [10]

Answer:

22

Step-by-step explanation:

The y values increase by 2 every time so 18+2=22

8 0
3 years ago
11. Let f(x) = 2x² + 7x + 5
Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0
3 years ago
The length of a rectangle is 12cm and the area is 96cm what is the width
Paladinen [302]
The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
3 0
3 years ago
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
sergij07 [2.7K]

Answer:

a) sample size is 40

Step-by-step explanation:

(a)

\sigma=4 minutes

Margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance \alpha= 0.05 for 95% level of significance

For 95% confidence interval z_{\frac{\alpha}{2}}=1.96 from standard deviation table

Sample size required, n

n=\left (\frac{z_{\frac{\alpha}{2}}\cdot \sigma}{E} \right )^{2}=\left (\frac{1.96\cdot4}{75/60} \right )^{2}=39.337984

Rounding off, n=40

Sample size =40

Keywords:

95% confidence, sample size, Wall Street Journal

3 0
3 years ago
Evaluate (a + b)2 for a = 2 and b= 3.
aniked [119]

Answer:

10

Step-by-step explanation:

a = 2 and b= 3

(a + b)2

(2 + 3)2

10

7 0
2 years ago
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