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Elina [12.6K]
3 years ago
15

The product of 2x^2+6x-8 and x+3 in standard form

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

2x³ + 12x² + 10x - 24

Step-by-step explanation:

(2x² + 6x - 8)(x + 3)                         Distribute

2x³ + 6x² + 6x² + 18x - 8x - 24      Combine like terms

2x³ + 12x² + 10x - 24                      This expression is in standard form

If this answer is correct, please make me Brainliest!

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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
4 - 3x = 8 - 4x Plz answer this question
timurjin [86]

Answer:x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−3x=8−4x

4+−3x=8+−4x

−3x+4=−4x+8

Step 2: Add 4x to both sides.

−3x+4+4x=−4x+8+4x

x+4=8

Step 3: Subtract 4 from both sides.

x+4−4=8−4

x=4

8 0
3 years ago
Read 2 more answers
A new car dealer offered to sell her demonstrator model for 90% of the retail price. If the sale price was $9,750, what was the
Rainbow [258]
The answer would be 10833.3 
4 0
3 years ago
Read 2 more answers
Laura spent 4/3 of her savings on a new CD which equivalent fraction shows the amount Laura spent? 1/9, 2/8, 1/3, or 2/3
Sholpan [36]
Round 4/3 to the nearest half you should come up with 2/3
7 0
3 years ago
Hey can you please help me posted picture of question:)
VLD [36.1K]
Answer:
The roots are:
\sqrt{10} - 5 and -\sqrt{10} - 5

Explanation:
First, we will need to expand the bracket on the left and then put teh equation i standard form which is:
ax² + bx + c = 0

This can be done as follows:
(x+5)² = 10
(x)² + 2(x)(5) + (5)² = 10
x² + 10x + 25 - 10 = 0
x² + 10x + 15 = 0

By comparison, we can find that:
a = 1
b = 10
c = 15

Now to get the roots, we would need to use the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = \sqrt{10} - 5
or x = - \sqrt{10} - 5

Hope this helps :)

3 0
3 years ago
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