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cricket20 [7]
2 years ago
10

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
3 0

Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

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A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
s344n2d4d5 [400]

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

6 0
2 years ago
Solve the system of equations algebraically.
andrew11 [14]

Answer: d. (17, 20)

Step-by-step explanation:

We have the following system of equations:

x-3y=8 (1)

5x-4y=5 (2)

Isolating x from (1):

x=\frac{8+3y}{4} (3)

Substituting (3) in (2):

5(\frac{8+3y}{4})-4y=5 (4)

Isolating y:

\frac{40}{4}+\frac{15 y}{4}-4y=5 (5)

10-5=4y-\frac{15 y}{4} (6)

y=20 (7)

Substituting (7) in (1):

x-3(20)=8 (8)

Isolating x:

x=17 (9)

Hence, the correct option is d. (17, 20)

8 0
2 years ago
Help meeeee_ 3+4x+7= what
kari74 [83]

Answer:

10+4x

Step-by-step explanation:

COmbine like terms

4 0
2 years ago
Read 2 more answers
From 12,000 graphing calculators produced by a​ manufacturer, an inspector selects a random sample of 550 calculators and finds
maria [59]

Answer:

131

Step-by-step explanation:

Using proportion,

If Out of 550 calculators = 6 are defective,

Then out of 12000 calculators = ? are defective

\frac{12000 calculators}{550calculators} * 6

= 21.8 * 6

= 130.8 ≈ 131

∴ Approximately 131 calculators are defective

3 0
3 years ago
You might need:
Over [174]

Answer: dont know

Step-by-step explanation: dont know

8 0
2 years ago
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