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Agata [3.3K]
2 years ago
10

1. In 2011, Molly and Jerry both went to

Mathematics
1 answer:
True [87]2 years ago
6 0

Answer:

2017

Step-by-step explanation:

Molly goes every 2 years

Jerry goes every 3 years

LCM(2,3) = 2 x 3 = 6

2011 + 6 = 2017

The answer is 2017

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Find the area of the triangle. Figure is not drawn to scale. Show your work. (Image attached)
Zolol [24]

Answer: 13.8cm^2

Step-by-step explanation:

The area of a triangle can be calculated with the formula:

A_{(triangle)}=\frac{b*h}{2}

The base of the triangle is "b" and the height of the triangle is "h",

In the figure you can observe that the base and the height of the triangle are:

b=6.9cm\\h=4cm

Knowing these values, you can substitute them into A_{(triangle)}=\frac{b*h}{2}.

Therefore, the area of the triangle is:

A_{(triangle)}=\frac{(6.9cm)(4cm)}{2}

A_{(triangle)}=13.8cm^2

4 0
2 years ago
M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
AlexFokin [52]

Answer:

  • x ≠ 5

Step-by-step explanation:

<u>Given</u>

  • m(x) = 1/x
  • f(x) = 2x - 10

<u>Composite function</u>

  • m(f(x)) = 1/ (2x - 10)

<u>The denominator can't be zero</u>

  • 2x - 10 ≠ 0
  • 2x ≠ 10
  • x ≠ 5

5 0
2 years ago
The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?
nata0808 [166]

Answer:

(1,1)

Step-by-step explanation:

we have

y=-2x+3 ----> equation A

y=x ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

<u><em>Verify</em></u>

Substitute the value of x=1 and y=1 in each equation and analyze the result

<em>Equation A</em>

1=-2(1)+3

1=1 ---> is true

so

The ordered pair satisfy the equation A

<em>Equation B</em>

1=1 ---> is true

so

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

5 0
2 years ago
Read 2 more answers
I need help. Basically, I need to figure out the dependent and independent value of a function.
Rama09 [41]

Answer:

  • x = log(y/4)/log(1.0256)
  • your answer for y=12 is correct

Step-by-step explanation:

The question is asking you to solve ...

   y = f(x)

for x. (In other words, find the inverse function.)

You already did this using a constant for y. Do the same thing with y instead of the constant.

  y = 4(1.0256^x)

  y/4 = 1.0256^x . . . . . . . divide by 4

  log(y/4) = x·log(1.0256) . . . . . take logs

  log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x

Now, you have a model for x in terms of y, which is what the question is asking for.

  x = log(y/4)/log(1.0256) . . . . . . . exact expression

When y=12, this is ...

  x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks

_____

This is a linear equation in log(y), so can be written as such:

  x = 91.0912·log(y) -54.8424 . . . . . approximate expression

6 0
3 years ago
An ant looks up to the top of a tree at an angle of elevation of 40 degrees. If the ant is 30 feet from the base of the tree, wh
Alborosie
For the answer to the question above, this is a right triangle problem using the tangent function. 
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
5 0
3 years ago
Read 2 more answers
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