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Kisachek [45]
3 years ago
9

Find two integers whose sum is -12 and product is 35

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

-7 and -5

Step-by-step explanation:

-7 and -5 added together are -12, and their product is 35.

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Select the correct answer. Consider functions f and g.
vlabodo [156]
C) 1 b =-2. D) 7 f(-2) = 3(-8) - 2. -5 x=6
y. 4(y + 1) = x. If (x, y) is the solution to
the system of equations.
5 0
2 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
jeyben [28]

Answer:

D) y=(x-3)^2-3

Step-by-step explanation:

The first step is to find the vertex.

Start with getting your coefficients:

a = 1, b = -6, c = 6

plug them into the equation x = -b/2a

6/2

x = 3

Plug that back into the original equation to get y = -3

The vertex is going to be (3, -3)

The equation for Vertex Form is given by f (x) = a(x - h)^2 + k

(a) being the coefficient in front of the x^2

(h) being the first point on the vertex   (h,k) ({3},-3)

(k) being the second point on the vertex    (h,k) (3,{-3})

y=(x-3)^2-3

5 0
3 years ago
Read 2 more answers
g Farmer Violet wants to enclose one 990 square foot rectangular area of land using fencing. One side will use special fencing c
saw5 [17]

Answer:

Sides of the rectangular area:

x =  30  f

y =  33  f

Step-by-step explanation:

Let´s call   x  and y the sides of the rectangular area

A = x*y  = 990          y  = 990/x

The function cost is:

C = Costs ( sides x)  + costs ( sides y )

Cost of sides x    =  12*x +  10x

Cost of sides y    =  10*y  +  10 *y   =  2*10*y  = 20*y

C = 12*x + 10*x + 20*y =  22*x  + 20*y

The function cost as function of x is:

C(x)  = 22*x + 20*(990/y)  =  22*x  +  19800/x

Tacking derivative on both sides of the equation:

C´(x)  = 22  + [ - 19800/x²]

C´(x) = 0       22  - 19800/x²  =  0

Solving for x

22*x²  - 19800  =  0

22x²  =  19800

x² =  19800/22 =  900

x₁,₂ = ± 30        We dismiss negative root ( we never have negative lenghts)

Then     x =  30 f

And  y  =  990 / 30      y  = 33  

To see if x = 30 is a minimum for function C(x) we evaluate the second derivative.

C´´(x) = 2*x* 19800/x⁴      

C´´ (x) = 39600/x³    so C´´ is always greater than 0 then C (x) has a minimum at x = 30

Sides of the rectangular area are:

x  =  30

y  =  33

6 0
3 years ago
Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0
3 years ago
Simplify the expression 2⋅(3+5−1)⋅2.
Over [174]

\huge\text{Hey there!}

\mathsf{2 \bullet (3 + 5 - 1) \bullet 2}

\mathsf{= 2 \times (3 + 5 - 1) \times 2}

\mathsf{= 2(3 + 5 - 1)(2)}

= \mathsf{2(8 - 1)(2)}

\mathsf{= 2(7)(2)}

\mathsf{= 14(2)}

\mathsf{= 28}


\huge\textsf{Therefore, your answer should be: }

\huge\boxed{\frak{28}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


<h3>
~\frak{Amphitrite1040:)}</h3>
8 0
2 years ago
Read 2 more answers
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