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stepladder [879]
3 years ago
8

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f+ g)(x).

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0

Answer:

B

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

3x+1+x2-6 = x2+3x-5

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Use the distributive property to solve the equation 28-(3x+4)=2(x+6)+x. Show your work.
Gre4nikov [31]

Answer:

x=2

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

We need to use the distributive property for the right side.

28−3x−4=(2)(x)+(2)(6)+x)

28−3x−4=2x+2+x

−3x+24=3x+12

From here we need to subtract 3x from both side.

−3x+24−3x=3x+12−3x

6x+24=12

Transfer +24 on the right side.

6x=12−24

6x=−12

Finally, divide both sides by −6

6x/-6 = -12/-6

x=2

6 0
2 years ago
What are the two solutions of 2x^2 = -X^2 - 5x - 1?
Sidana [21]

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

6 0
3 years ago
A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?
dimulka [17.4K]

Answer:

C

Step-by-step explanation:

From the given coordinates

A(6, 0), B(0, 0) then AB = 6 - 0 = 6

B(0, 0), C(0, 8) then BC = 8 - 0 = 8

To calculate AC use Pythagoras' theorem on the right triangle formed

AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100

Take the square root of both sides, hence

AC = \sqrt{100} = 10

Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C

5 0
3 years ago
Please help me i will give brainliest *image
Alika [10]
7.5 Devide 30 by 4 and it is 7.5 that is how much she saved
8 0
3 years ago
Read 2 more answers
I need help. <br><br> solve for k.<br> 881 = k - (-243)<br> k=?
DedPeter [7]

Answer:

638

Step-by-step explanation:

1. Isolate the variable 881 = k - (-243)

                                  -243         -243

2. combine like terms 881 - 243 = k

3. answer 638

5 0
3 years ago
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