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3 years ago

6

Mr. Davis divided his money in the ratio 4:6 between James and Brett. James got the smaller amount of $540. How much did Brett r

eceive? How much in total was the money?

1 answer:

sattari [20]3 years ago

3 0

Answer:

$810

LMK if you need an explanation.

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what is the equation of the line shown below? Give your answer in slope-intercept form. (5,4) (-4,-5)

Lynna [10]

Answer:

y = 1x + -1 or y = x - 1

Step-by-step explanation:

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3 years ago

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Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca

arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

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3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

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3 years ago

The diameter of a baseball is approximately 3 inches. What is its volume? Round your answer to the nearest whole number.

OLga [1]

Answer:

I am not sure, but i think it is A

Step-by-step explanation:

8 0

2 years ago

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An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found

lidiya [134]

-16t^2+400=0

16t^2=400

take square root on both sides.

$\sqrt{16t^2} =\sqrt{400}$

4t=20

t=20/4

t=5

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3 years ago