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3 years ago

5 less than a number is equivalent to 1 more than three times the number

Mathematics

1 answer:

kifflom [539]3 years ago

6 0

Answer:

x-5=3x+1 (x=-3)

Step-by-step explanation:

5 less (_-5)

than a number (x)

is equivalent to (=)

1 more than (+1)

than three times the number (3x)

combine them all to get x-5=3x+1

extra:

add 5 to each side x=3x+6

subtract x from each side 0=2x+6

subtract 6 from each side -6=2x

divide each side by 2 -3=x

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I don't understand all three. What am I supposed to do and what is the answer?

AlladinOne [14]

Answer:

Step-by-step explanation:

The Domain means all possible values that x can be.

The range is the outcomes you get when you plug in the domain.

For each function, choose values for x.

Then solve

The outcome you get is f(x)

F(X) is an easier way of saying y,

If its easier this way, in terms of y, the equations would be y=-4x, y=x+6, and y=3x+2. You would solve these as you solve linear equations!

Ordered pair of [x,f(x)]

Lets Start!

x | -4x | f(x)

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -4(-2) | 8 (-2,8)

-1 | -4(-1) | 4 (-1,4)

0 | -4(0) | 0 (0,0)

1 | -4(1) | -4 (1,-4)

2 | -4(2) | -8 (2,-8)

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {8,4,0,-4,-8}

Domain and Range of entire function- All real numbers

x | x+6 | f(x)

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -2 + 6 | 4

-1 | -1 + 6 | 5

0 | 0 + 6 | 6

1 | 1 + 6 | 7

2 | 2 + 6 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,5,6,7,8}

Domain and Range of entire function- All real numbers

x | 3x + 2 | f(x)

-2 | 3(-2) + 2 | 4

-1 | 3(-1) + 2 | -1

0 | 3(0) + 2 | 2

1 | 3(1) + 2 | 5

2 | 3(2) + 2 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,-1,2,5,8}

Domain and Range of entire function- All real numbers

Hope i helped, Brainliest would be appreciated.

Have a nice day!

-Aadi x

3 0

3 years ago

Solve for X, square root 2x = square root x+5

inessss [21]

X = 5
Move the variable then cells to like terms and simplify

4 0

2 years ago

Help is needed please hurry

denpristay [2]

Step-by-step explanation:

step 1. Where is the original equation? let's assume it is y = x^2

step 2. to shift to the right 3 places replace x with x - 3 and to shift 4 down subtract 4 from the equation

step 3. y = (x - 3)^2 - 4.

4 0

3 years ago

Use algebraic methods to prove that the given function has an x-intercept that is equal to its y-intercept. In your final answer

Llana [10]

Given the function, y = x/( x^2 – 1)

Add x and subtract x from (x^2 – 1) to make it a complete square

y = x/(x^2 + x – x – 1)

y = x/[x(x + 1) – 1(x + 1)]

y = x/[(x – 1)(x + 1)]

In order to find the y -intercept, we set x = 0

When x = 0

y = 0/[(0 – 1)(0 + 1)]

y = 0.

Therefore, the y-intercept is zero.

In order to find the x -intercept, we set y = 0

When y = 0

0 = x/[(x – 1)(x + 1)]

The only way the product of a division will be zero is if the numerator is zero

So, if x/[(x – 1)(x + 1)] = 0

x = 0

Therefore, the x-intercept is also zero.

Since both x- intercept and y- intercept equal zero,

Then, the given function has an x-intercept that is equal to its y-intercept

5 0

3 years ago

Read 2 more answers

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

Jobisdone [24]

Answer:

Area of the polygon = 59 in²

Explanation:

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

Therefore:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

1- getting the area of the upper triangle:

We have:

base of triangle = 7 in

height of triangle = 6 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*7*6=21$ in²

2- getting the area of the side triangle:

We have:

base of triangle = 4 in

height of triangle = 5 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*4*5=10$ in²

3- getting the area of the rectangle:

We have:

length of rectangle = 7 in

width of rectangle = 4 in

Therefore:

Area of rectangle = length x width = 7 x 4 = 28 in²

4- getting the total area of the polygon:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

Therefore:

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

4 0

3 years ago