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mars1129 [50]
2 years ago
6

Determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square

Mathematics
1 answer:
posledela2 years ago
3 0

Step-by-step explanation:

(Ax² + Bx + C)²

= (Ax² + Bx + C)(Ax² + Bx + C)

= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².

By Comparing Coefficients, we have:

A = 1

2AB = 6

2AC = 7

2BC = a

C² = b

Solving them we get A = 1, B = 3 and C = 3.5.

Therefore a = 2BC = 2(3)(3.5) = 21,

b = C² = (3.5)² = 12.25.

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2. The rectangular floor of a garage has an area of 198 square feet. Andy knows that the floor is 7
Charra [1.4K]

Answer:

length = 18 ft

Step-by-step explanation:

Let w = width

L = w+7

Area = l*w

198 = (w+7) (w)

Distribute

198 = w^2 +7w

Subtract 198 from each side

0 = w^2 +7w -198

Factor

What 2 numbers multiply to -198 and add to 7

18* -11 = -198

18+-11 = 7

0=(w+18) (w-11)

Using the zero product property

w+18 =0  w-11=0

w= -18   w=11

We cannot have negative width  so w=11

We want the length

l = w+7

l = 11+7 = 18

6 0
2 years ago
A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs.
meriva

Answer: slope and x-intercept

4 0
2 years ago
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a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina
irakobra [83]
40 liters.....30% is yellow tint
0.30(40) = 12 liters are yellow

if u add 6 liters....(12 + 6) = 18 liters are now yellow...and since u added 6 liters, ur total mixture is now 46 liters.
18/46 = 0.39 = 39% <===
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3 years ago
Enjoy points cuz I lost my Crown :(​
djverab [1.8K]

Answer:

You know what :)

Step-by-step explanation:

I feel bad so if you ever need help you can ask me! :)

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3 years ago
Read 2 more answers
1. What are two numbers that multiply to make -24 and sum to make -5?
charle [14.2K]
1) -8 and 3
because -8+3= -5 and -8x3=24
2) -8 and -5
because -8-5=-13 and -8x-5=40
8 0
3 years ago
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