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LiRa [457]
3 years ago
5

Factor the expression. 8g^3+10g^2-12g-15

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

Step-by-step explanation:

8g^{3} + 10g^{2} - 12g - 15

2g^{2}(4g + 5) - 3(4g + 5)

(2g^{2} - 3)(4g + 5)

(g - \frac{\sqrt{6}}{2})(g + \frac{\sqrt{6}}{2})(4g + 5)

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Answer:

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Step-by-step explanation:

6 0
2 years ago
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The product of (x+2) (x-3) is​
Aloiza [94]

Answer:

<h2>x{}^{2} - x - 6</h2><h2 />

Step-by-step explanation:

(x + 2)(x - 3)

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

x(x - 3) + 2(x - 3)

Calculate the product

{x}^{2}  - 3x + 2x - 6

Collect like terms

{x}^{2}  - x - 6

Hope this helps..

Best regards!

5 0
3 years ago
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Humans have a normal body temperature of 98.6 F A temperature, x, that differs from normal by at least 2°F is considered unhealt
Romashka-Z-Leto [24]

Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2  

Step-by-step explanation:

Since, the normal temperature = 98.6° F

Also, the temperature that differs from normal by at least 2°F is considered unhealthy.

If the temperature is x degree F,

Then, we have two conditions,

Condition 1 : x > 98.6,

The difference between 98.6 and x = x - 98.6

Then the inequality be,

x - 98.6 ≥ 2

Condition 2 : x < 98.6

The difference between 98.6 and x = 98.6 - x

Then the inequality be,

98.6 - x ≥ 2

3 0
3 years ago
Megan and her sister are planning their
Yuri [45]

Answer:  y = 12.50x + 45

Step-by-step explanation:

if x is the number of hours  and you pay $12.50 per hour then we can come up the expression 12.50x

You will be charge $45 as an initial fee so it will be 12.50x + 45 and that has to equal the total cost which is y.

y = 12.50x + 45

7 0
3 years ago
In the figure,ABC is a right-angled triangle.PQ=24cm,PR=45cm and T is a point on QR such that PT丄QR.Find PT.
snow_tiger [21]

RQ² = RP² + PQ²

RQ² = 45² + 24²

RQ² = 2025 + 576

RQ² = 2601

RQ = 51

PT/PR = PQ/RQ

PT/45 = 24/51

PT = (24/51) × 45

PT = (8/17) × 45

PT = 360/17

8 0
3 years ago
Read 2 more answers
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