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Vanyuwa [196]
3 years ago
14

Can somebody help me out with the question

Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

Answer:

(-3.5,1)

PLEASE PICK AS BRANLIEST

Evgen [1.6K]3 years ago
3 0

Answer:

Step-by-step explanation:

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boyakko [2]

B is the answer

Expand factors

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Answer!

6 0
2 years ago
Write the ordered pair for a point that is 9 units to the left of the origin and lies on the x-axis.
natulia [17]
(((((((((-9,0)))))))))
8 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
3 years ago
Classify each function. (a) y = x − 3 x + 3 root function logarithmic function power function trigonometric function rational fu
Studentka2010 [4]

Answer:

a) rational

b) rational

c)exponential

d) power function

e) polynomial function of degree 6

f) trig function

Step-by-step explanation:

Functions can be classified by the operations they contain. Remember the following functions:

  • Power function has as its main operation of an exponent on the variable.
  • Root function has as its main operation a radical.
  • Log function has as its main operation a log.
  • Trig function has as its main operation sine, cosine, tangent, etc.
  • Rational exponent has as its main function division by a variable.
  • Exponential function has as its main operation a variable as an exponent.
  • Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.

Below is listed each function. The bolded choice is the correct type of function:

(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3

(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function

(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function

(d) y = x^5 trigonometric function power function exponential function root function logarithmic function

(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6

(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function

3 0
3 years ago
One week a computer store sold total of 36 computers and external drives. The revenue from these sales were $23490. If computers
yarga [219]

Answer:

X = 18

Y = 18

Step-by-step explanation:

first make two equation like

x + y = 36

1180x + 125y = 23490

from equation one we have

y = 36- x

put in second equation

1180x + 125 (36-x) = 23490

1180x + 4500-125x = 23490

1055x = 23490-4500

x = 18990/1055

x = 18

put this x value in equation 1 to find y value

18+ y = 36

y = 36-18

y = 18

5 0
3 years ago
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