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sweet-ann [11.9K]
2 years ago
10

Help me , i need fast​

Mathematics
1 answer:
MAVERICK [17]2 years ago
7 0
I have a feeling it B but I don’t know maybe C
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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
List the next four multiples of 3/5
zlopas [31]
What is the rule? Then i will know how to it
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2 years ago
9. Belinda makes 5 gallons of fruit punch per day. How many gallons will she make in a week?​
kow [346]

Answer:

35 gallons

Step-by-step explanation:

one week = 7 days

5 gallons per day

one week = 7 days * 5 gallons

= 35 gallons in a week

3 0
2 years ago
1. Demonstrate the validity of the following identities by means of truth tables: (5 pts each) a. DeMorgan’s theorm for three va
ollegr [7]

Answer:

All the three statements presented are indeed valid and satisfy the De Morgan's theorem.

Step-by-step explanation:

The truth tables are presented in the attached images.

a) The statement (X + Y + Z)' = (X'Y'Z') has its proof in the first image attached.

b) The statement (XYZ)' = (X' + Y' + Z') has its proof in the second image attached.

c) The statement (X + YZ) = (X + Y)(X + Z) has its proof in the third image attached.

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3 years ago
Teddy is selling cookie dough and popcorn for a fundraiser. Cookie dough is $10 and popcorn is $6. Teddy sold 87 items for a tot
raketka [301]
Teddy sold 64 containers of cookie dough
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3 years ago
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