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nika2105 [10]
4 years ago
15

Write x squared + 2x-8 in the form (x + m) squared + n where m and n are integers.

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
7 0
Let F(x) = x^2 + 2x -8

Adding 1 and - 1 at equation

F(x) = x^2 + 2x + 1 - 1 -8

Rewrinting the first 1 = 1^2

F(x) = x^2 + 2x + 1^2 - 1 - 8

Now look:

x^2 + 2x + 1^2 = ( x + 1)^2

Then,

F(x) = (x + 1)^2 -1 -8

F(x) = (x + 1)^2 -9

This is the answer !

If us to want.

(x + 1)^2 -9 = ( x+1)^2 - 3^2

= ( x+ 1 -3).(x +1 +3)

= ( x - 2).(x +4)

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Describe how to find the average rate of change between x=3 and x=5 for the function f(x)= 3x^3+2
Anastasy [175]

Answer:

We'll use the traditional "slope" formula, evaluating

\frac{f(5) - f(3)}{5-3}

To find f(5), plug in x = 5 to f(x).

3(5)^3 + 2 = 377

Same thing for f(3)

3(3)^3 + 2 = 83

So

\frac{377-83}{5-3} = \frac{294}{2} = 147

5 0
3 years ago
Write the ratio 1.6 : 4 as a fraction in simplest form, with whole numbers in the numerator and denominator.
skad [1K]
1.6 : 4

1.6 is also equal to 8/5

therefore,

8/5 : 4

(8/5)/4

**get the reciprocal of the denominator (4) which is equal to 1/4**

(8/5)*(1/4)

(8/4)*(1/5)

2*(1/5)

2/5

two fifth is the answer
7 0
3 years ago
Add the two expressions<br> 14.2x + 3 and 2.5x - 6
FrozenT [24]
<span>14.2x +3 and 2.5x -6
Group common terms: 14.2x + 2.5x =
Group common terms: 3+ (-6)=
The result of each one will equal your final answer. 
16.7x -3

Hope this helps... just remember to always collect common terms first. </span>
5 0
3 years ago
Heeeellllppppppp it’s math
vitfil [10]

Answer:

32

Step-by-step explanation:

angel A= AngelC ( due to isosceles triangle)

now,

angel A+ Angel B + Angel C = 180° ( sum of the three angles of triangle is 180°)

74°+angle B+ 74° = 180°

148° + Angel B = 180°

angel B = 180° - 148°

therefore, Angel B = 32

3 0
3 years ago
Read 2 more answers
Help me please i need help please
AnnyKZ [126]

Answer:

good luck

Step-by-step explanation:

4 0
3 years ago
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