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Andrews [41]
3 years ago
10

Find the product. (3p – 7)(3p + 7)

Mathematics
2 answers:
hram777 [196]3 years ago
8 0
(3p - 7)(3p + 7) =
(3p × 3p) + (3p × 7) + (-7 × 3p) + (-7 × 7) =
9p^2 + 21p - 21p - 49
= 9p^2 - 49

Therefore, answer would be D.
aleksandrvk [35]3 years ago
3 0

Answer:

Step-by-step explanation:

to multiply the two factors we can use the concept of FOIL

so when we multiply the (3p – 7)(3p + 7)

we get

(3p -7)(3p + 7) = 3p.3p+3p.7-3p.7-7.7

9p^2-21p+21p-49 (cancel the 21p)

9p^2-49

correct option is D.

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If △ABC≅△XYZ, SELECT ALL THE CORRECT STATEMENTS. There will be MORE than one right answer.
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4 years ago
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A restaurant is having a deal for Valentine's day and is offering a 4-course meal for $27.00. If there is a sales tax of 8 perce
jonny [76]

Answer:

$29.26

Step-by-step explanation:

27/100=0.27

0.27*8=2.16

27.00+2.16=29.16

hope this helps!

6 0
3 years ago
Princeton caught 42 fish this summer, which is 70% of the number of fish his friend Trenton caught. How many fish did Trenton ca
yulyashka [42]
42 is 70% of fish Trenton caught......lets let x stand for Trenton's fish
" is " means equals....turn percent to decimal
42 = 0.70x
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3 0
3 years ago
find the side lengths of each triangle. I can't figure out the formula. awnsers with work would be most helpful. Im having most
34kurt

18. (if you needed it)

The triangle is an equilateral triangle, it has 3 congruent/equal side lengths and 3 congruent angles.

To find "z", you can set the sides equal to each other (you can just do two sides since they are all suppose to be the same lengths)

z + 5 = 4z - 4     Subtract z on both sides

5 = 3z - 4    Add 4 on both sides

9 = 3z        Divide 3 on both sides

3 = z

Plug this into one of the sides

z + 5

3 + 5 = 8       Each side is 8


[proof]

z + 5

3 + 5 = 8


4z - 4

4(3) - 4

12 - 4 = 8


3z - 1

3(3) - 1

9 - 1 = 8




19. This is an isosceles triangle, which is a triangle that has 2 congruent sides and 2 congruent angles. (The red tick marks shows that the sides are the same/equal)

Since the 2 sides are the same length, you can set them equal to each other to find "x":


2x + 6.8 = 8x + 1.4         Subtract 2x on both sides

6.8 = 6x + 1.4      Subtract 1.4 on both sides

5.4 = 6x              Divide 6 on both sides

0.9 = x


Now that you know x, you can find the sides:

2x + 6.8

2(0.9) + 6.8

1.8 + 6.8 = 8.6


8x + 1.4

8(0.9) + 1.4

7.2 + 1.4 = 8.6


The two side lengths are 8.6


5 0
4 years ago
An investment counselor calls with a hot stock tip. he believes that if the economy remains​ strong, the investment will result
anzhelika [568]

Answer: $ 16,000 profit

Step-by-step explanation:

Given the following :

Profit when economy is strong = 50,000

Profit when economy is moderate = 10,000

Loss when economy goes into recession = 50000

Resulting probabilities of the three probable occurrences are:

Probability of strong economy; p(strong) = 30/100 = 0.3

Probability of moderate; P(moderate) = 60/100 = 0.6

Probability of recession; P(recession) = 10/100 = 0.1

Expected profit :

Summation of the product of each probability and its accompanying profit or loss.

P(strong) × profit of strong = 0.3 × 50000 = 15000

P(moderate) × profit of moderate = 0.6 × 10000 = 6000

P(recession) × loss on recession = 0.1 × 50000 = 5000 = - 5000 ( loss)

Expected profit :

$(15,000 + 6000 - 5000) = $16,000 profit

5 0
3 years ago
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