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seraphim [82]
3 years ago
11

50 points if you answer correctly

Mathematics
2 answers:
Andrei [34K]3 years ago
4 0

Answer:

1. D. 15

2. A. 3

3. A. c= 6g+5

4. A. All real numbers

5. D

                                         

                                     

rewona [7]3 years ago
3 0

Answer:

f(3) =  {3}^{2}  + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15

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PLS HELP ILL GIVE BRAINLIEST
inysia [295]
<h3>Answer:   14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

  • a = 12
  • b = -11
  • c = -5

This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

  • L = length = 4x-5
  • W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0
2 years ago
12/15= /5 write the equivalent fraction
viktelen [127]

Answer:

24/30

48/60

96/120

Step-by-step explanation:

5 0
3 years ago
I need to know what the answer is?<br>is it x,y,z,or w?​
andrew-mc [135]

Answer:

Y

Step-by-step explanation:

5 0
3 years ago
Evaluate: ab when a = 2 and b=4
worty [1.4K]

Answer:

8

Step-by-step explanation:

ab = 2 * 4 = 8

7 0
2 years ago
Read 2 more answers
If you were to move use the substitution method to solve the following system choose the new equation after the expression equiv
yanalaym [24]

Solve x+4y = 13 for x by subtracting 4y from both sides.

We end up with x = -4y+13.

Since x and -4y+13 are the same, we can replace every x in the first equation with -4y+13

2x-3y = -29

2( x ) - 3y = -29

2( -4y+13 ) - 3y = -29 ... x is replaced with -4y+13

The answer is choice B

8 0
3 years ago
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