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seropon [69]
3 years ago
7

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
8 0

Answer:

x = - 2

Step-by-step explanation:

Angelina_Jolie [31]3 years ago
3 0

Answer:

x = - 2

Step-by-step explanation:

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4, hence

x² + 4x + 4 = 0 ← This is a perfect square in the form

(x + a)² = x² + 2ax + a²

Hence 2a = 4 ⇒ a = 2, thus

(x + 2)² = 0

x+ 2 = 0 ⇒ x = - 2 ( 2 equal roots )

Value of x = - 2

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Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
Charra [1.4K]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - 2x² + 4x - 2

To find the y- intercept set x = 0

f(0) = 0 + 0 - 2 = - 2 ← y- intercept

The equation of the axis of symmetry is of the form x = c

where c is the value of the x- coordinate the line goes through.

Given the equation in standard form

with a = - 2, b = 4 then the axis of symmetry is

x = - \frac{b}{2a} = - \frac{4}{-4} = 1

Equation of axis of symmetry is x = 1

8 0
3 years ago
Read 2 more answers
If 3a+4a=14, and b+6b=21, then 7(a+b) =<br><br> Help and show work!
den301095 [7]
Hello!

You have to find what a and b are

3a + 4a = 14
b + 6b = 21

Lets do a first

3a + 4a = 14

Combine like terms

7a = 14

Divide both sides by 7

a = 2

Now lets do b

b + 6b = 21

Combine like terms

7b = 21

Divide both sides by 7

b = 3

Put a and b into the third equation

7( 2 + 3) = 

Do what is in parenthesis first

7(5) = 

Multiply

35

The answer is 35

Hope this helps!
8 0
3 years ago
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Write the equation. 5 more than a number times 2 is 2
suter [353]

(5 +n)\cdot2 = 2

3(2 -n) > 7

8 0
3 years ago
What is y = -1 + 4 written in standard form?<br> WN
lubasha [3.4K]

Answer:

y=3

Step-by-step explanation:

Using the formula, write in standard form.

hope i helped :) !! brainliest !?

8 0
3 years ago
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The pre image STU has undergone a type of transformation called a rigid transformation to produce the imagine VWX . Compare the
pshichka [43]
I think they all apply (tick all the statements) since a rigid transformation doesn’t affect the shape of the triangle simply it’s position.
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