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dem82 [27]
11 months ago
13

According to the graph, what is the factorization of x - 5x + 6? y=x2.5x + 6 5 A. (x - 3)(x-2) B. (x+3)(x - 2) C. (x-3)(x + 2) O

D. (x + 3)(+ 2) E PREVIOUS

Mathematics
1 answer:
8_murik_8 [283]11 months ago
6 0

Given:

To find the factorization of the graph,

x^2-5x+6

By factorization, we get

\begin{gathered} x^2-2x-3x+6 \\ x(x-2)-3(x-2) \\ (x-3)(x-2) \end{gathered}

Hence option a) is the correct answer.

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Round 845,152 to the nearest ten thousand.
VMariaS [17]

Answer:

850000

Step-by-step explanation:

0\/4,round down.

5/\9,round up

8 0
3 years ago
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Karl is putting a frame around a rectangular photograph. The photograph is 12 inches long and 10 inches wide, and the frame is t
Gnesinka [82]
Answer:Area=Length x breadth
Area=12 x10 = 120in^2

Step-by-step explanation:

4 0
2 years ago
PLS PLS HELP FAST. Given an isosceles triangle with a leg length of 12. Determine the length of the hypotenuse.
dolphi86 [110]

Answer:

12*sqrt(3)

Step-by-step explanation:

since it is isosceles its angles are 45, 45, 90, therefore the hypotenuse is 12*sqrt(3).

3 0
3 years ago
The sum of the first number cubed and the second number is 500 and the product is a maximum.
soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

x^3+w=500

We can then express y as:

w=500-x^3

We can express their product as:

x(500-x^3)=500x-x^4

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}

Then we solve for the value of x where f'(x) = 0.

\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}

Then we use x = 5 to solve for the second number, w.

\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}

Therefore, the two numbers are 5 and 375.

3 0
1 year ago
A woodworking company handcrafts two types of birdhouses. One is large and the other is small. Both types of houses go through t
Softa [21]

Answer:

44 large houses and 16 small housed should be sold per month to obtain the best returns

Step-by-step explanation:

Let x denotes large bird houses and y denotes small bird houses.

We are given that  Both types of houses go through two technicians; first a shaper and then a painter

The large house requires two hours of the shaper's time and and then a painter.

The small house requires one hour of the shaper's time and two hours of the painter's time.

We are given that The shaper has 104 hours and the painter has 76 hours of time available this month.

So, 2x+ y \leq 104

x+2y \leq76

x \geq 0

y \geq 0

Plot the lines on the graph

Refer the attached graph

The boundary points of feasible region are :

(0,0),(0,38),(44,16),(52,0)

Profit on the large house is $6 and on the small house is $11.

So, P=6x+11y

At(0,0)

P=0

At(0,38)

P=6(0)+11(38)=418

At (44,16)

P=6(44)+11(16)=440

At(52,0)

P=6(52)+11(0)=312

So, The company gets the best returns at(44,16)

So, 44 large houses and 16 small housed should be sold per month to obtain the best returns

5 0
3 years ago
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