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3 years ago

How do I solve this

Mathematics

2 answers:

S_A_V [24]3 years ago

5 0

Answer:

30 hours

Step-by-step explanation:

h- hours worked t-total amount you get

your equation: 5h+130=t

your friend's: 6h+100=t

you worked the same number of hours, so

5h+130=6h+100

-h=-30

h=30

bagirrra123 [75]3 years ago

4 0

Answer:30

5x+130=6x+100

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+130=6x+100

Step 1: Subtract 6x from both sides.

5x+130−6x=6x+100−6x

−x+130=100

Step 2: Subtract 130 from both sides.

−x+130−130=100−130

−x=−30

Step 3: Divide both sides by -1.

−x

−1

−30

−1

x=30

Answer:

x=30

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What is the range of the function f(x) = 2x1 – 3?

Vinil7 [7]

Answer:

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Step-by-step explanation:

First I would like to do is to show you how to find the domain of the function.

The domain is the set of all x values or input values that are going to make our function true.

The graph of this linear function i.e f(x) = 2x1 – 3 will be a straight line where for all the values of x (whether positive or negative) there is a point on this function that has a y value.

So, for every input of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest), there will always be an output. There will be no breaks on the graph.

So, the domain of this function will be all real numbers.

Or D = ( -∞, +∞ )

In order to determine the range, we must know that for every input value of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest, there will be always be the value of y (output) of this function that can be any real number. So, the set of all the possible values of y will be the range of the function.

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Keywords: Domain, Range, Real Number

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3 years ago

A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degre

ladessa [460]

The height of the triangle is 8root3 meters.

We have given that,

A tree breaks due to a storm and the broken part bends,

So that the top of the tree touches the ground making an angle of 60 degrees with the ground.

The distance between the feet of the tree to the point where the top touches the ground is 16m.

Let the Height of the Tree =AB+AD

and given that BD=8 m

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.

Now, in △ABD

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the same triangle

$tan(30)=AB/BD\implies 8/\sqrt{3}$

<h3>What is the height of the triangle?</h3>

Height of the tree=AB+AD

$=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }$

$=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m$

Therefore the height of the triangle is 8root3.

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3 years ago

In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? O

AlladinOne [14]

Answer:

C. 16 : 22

Step-by-step explanation:

Given:

Apple trees = 16
Orange trees = 22
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Ratio of apples trees to orange trees:

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2 years ago

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Morgarella [4.7K]

Answer:

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Step-by-step explanation:

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