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Simora [160]
3 years ago
10

What are the solutions of the equation? c-^2-10c=0

Mathematics
1 answer:
damaskus [11]3 years ago
7 0
<span>Simplifying c2 + 10c = 0 Reorder the terms: 10c + c2 = 0 Solving 10c + c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(10 + c) = 0 Subproblem 1Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0 Subproblem 2Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Solutionc = {0, -10}</span>
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1. Which of the following equations would NOT contain the point (4,12)?
vodka [1.7K]

Answer:

the answer is b hope this helps :)

6 0
3 years ago
If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?
xz_007 [3.2K]
<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0
3 years ago
Assume the rate of inflation is 5​% per year for the next 2 years. What will be the cost of goods 2 years from​ now, adjusted fo
kirza4 [7]
The equation for inflation is
A = P*(1+r)^t
which is an exponential growth equation (if r > 0). If r < 0, then we have deflation.

where...
A = final price after t years
P = initial starting price
r = rate of inflation in decimal form 
t = number of years

In this case, 
A = unknown (we're solving for this)
P = 280 is the starting price
r = 0.05 is the decimal form of 5%
t = 2 years

We will plug these three pieces of info into the formula to get...
A = P*(1+r)^t
A = 280*(1+0.05)^2
A = 280*(1.05)^2
A = 280*(1.1025)
A = 308.70

Answer: 308.70 dollars
7 0
4 years ago
In Jamie's town, there are 42,812 adults and 12,358 children. About how many more adults than children are in Jamie's town?
Kipish [7]

Answer:

30454

Step-by-step explanation:

subtraction on a calculator

42812-12358=30454

4 0
3 years ago
Help!!!!! PLease show all work!! 
Sophie [7]
I believe the answer is B because you have to do the Vertical Line Test.<span />
8 0
3 years ago
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