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3 years ago

Please help 20 points

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

Use the horizontal line test.

If any 2 points along the curve of F(x) touch a horizontal line, then the inverse is NOT a function.

This is because if 2 points share the same 'y' value in F(x), then they would share the same 'x' values in the inverse function. This is not allowed for a function.

For the given curve, it passes the horizontal line test. Therefore the inverse IS a function.

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If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

$\angle EFG=\angle EFH+\angle HFG$

$18x+11=(5x+1)+(62)$

$18x+11=5x+63$

Isolate variable terms.

$18x-5x=63-11$

$13x=52$

Divide both sides by 13.

$x=\dfrac{52}{13}$

$x=4$

The value of x is 4.

$\angle EFH=(5x+1)^\circ$

$\angle EFH=(5(4)+1)^\circ$

$\angle EFH=(20+1)^\circ$

$\angle EFH=21^\circ$

Therefore, the measure of ∠EFH is 21°.

8 0

3 years ago

What digit (s) can be in the ones place of a number that has 5as a factor

slavikrds [6]

If 5 is a factor of the number, then its ones place is either a 5 or a zero.

7 0

2 years ago

You plan to cut 2 pieces of pipe, each 37 centimeters long from a piece of pipe that is 1 meter long. How much pipe will you hav

I am Lyosha [343]

Answer:

There will be 26 centimeters of pipe left.

Step-by-step explanation:

1 meter = 100 centimeter

Two 37 centimeter pipes = Total of 74 centimeters used

100 - 74 = 26 centimeters of pipe left

6 0

3 years ago

Read 2 more answers

This question is worth 20 points if someone answers it!

Nostrana [21]

The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).

<h3>What are equations?</h3>

The equation is actually a relationship between the numbers and the variables.

To calculate the number of the tourists in the third week we will put the value 3 in every function:

$f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30$

So we can see that the function third h(x) numberville city is having a maximum number of tourists.

The solution of f(x)=h(x) will be calculated as:

$x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2$

Hence the solution of f(x)=h(x) will be x(5,2).

To know more about equations follow

brainly.com/question/2972832

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6 0

2 years ago

Find the area of the figure above. use 3.14 for π. do not round your answer

professor190 [17]

Answer:

Step-by-step explanation:

Alright, lets get started.

This is the combination of three figures semi circle, rectangle and triangle.

We will find the area of each figure and will add them.

The radius of the circle is half of the diameter, so radius is 6.

Area of semi circle will be : $\frac{1}{2} \times 3.14 \times 6^2$

Area of semi circle is : 56.52

Area of rectangle is: $length \times width$

So, area of rectangle is: $40\times 12=480$

Area of triangle is : $\frac{1}{2}\times base\times height$

So, area of triangle is : $\frac{1}{2} \times 12\times 5=30$

Adding all these three areas, the area of above figure will be:

[tex]Area = 56.52+480+30

Hence Area is 566.52............... Answer

6 0

3 years ago