Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.ax + bx - c = 0

Answers

Answer 1

Answer: $ax+bx-c=0 \ \ \ |+c \nax+bx=c \n(a+b)x=c \ \ \ |/ (a+b), a+b \not= 0 \n\boxed{x=(c)/(a+b)}$

Answer 2

Answer: $ax+bx-c=0\nx(a+b)=c\nx=(c)/(a+b)$

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Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = $(h)/(w)$

Since, total number of hours worked in a week = 20

Equation will be,

20 = $(h)/(w)$

h = 20w

Part (B).

Per hour earning of Hector = $\frac{\text{Total earning}}{\text{Number of hours worked}}=(210)/(20)$

$(m)/(h)=10.5$

m = 10.5h

Which expression can be used to model the phrase “the sum of three and a number”? 3+x x-3

Answers

Answer:

3+x

Step-by-step explanation:

“the sum of three and a number”

Frame an expression for the given statement

Expression contains variables and operators like add, subtract , multiply and divide

LEt the unknown number be x

Sum represents the addition of two numbers

Sum of three and a number means the addition of 3 and number x

So the expression become 3+ x

a=3+b. That is a reasonable expression, because a= the sum of 3 and b, an unknown number.

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, point, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units

Answers

Answer:

The radius is 4 units long.

Step-by-step explanation:

The given equation is

$(x-0.5)^(2) +(y-3.5)^(2) =16$

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

$r^(2) = 16\nr=√(16)\n r=4$

Therefore, the radius is 4 units long.

The gradient of the graph shown and given in its simplest form

Answers

Answer:

1/2

Step-by-step explanation:

Gradient=∆x/∆y

m=(0--1.5)÷(0-3)

m=1/2

What is 16.403 round to the nearest tenth?

Answers

Well, since there is a 0 in the hundredths place, the 4 in the tenths place would stay the same! Ignore the 3.
Your answer:16.4
I hope this helps!

16.4 is 16.403 rounded to the nearest tenth because tenths are the number right after the decimal point and if the number right after it is 5 or above you round the place above up. If the tenths are below 5 you round down.

What is the positive root of the equation x ^2 + 5x = 150?

Answers

the awnser I came out with is x=10,-15

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