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lesya [120]
2 years ago
8

Help with math work

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Answers for different section are given below;

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

   f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                      f(x) = -1 (x² + 4x - 6)

                      f(x) = -1 (x² + 4x) + 6

      Thus, first block contains -1 and second block contains 4.

     

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

                 f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

                 f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

                 f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

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Solve negative 5 over 2, the whole multiplied by x minus 5 equals negative 55.
astraxan [27]

Answer:

-24

Step-by-step explanation:

-  \frac{5}{2} x \:  - 5 = 55

Multiply through by the denominator (that is, 2)

= 2 \times ( -  \frac{5}{2} x) \:  - 5(2) = 55(2)

=  - 5x - 10 = 110

Collect like terms

- 5x \:  = 110 +10

- 5x = 120

Divide through by - 5x

\frac{ - 5x}{ - 5}  =  \frac{120}{ - 5}

x =  - 24

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yKpoI14uk [10]
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X+y=5 <br> 3x-y=7 <br> solve this equation
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2 years ago
What is the y-value in the solution to this system of linear equations?
Karolina [17]

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = 2 , y = -4

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3 years ago
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