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pishuonlain [190]
3 years ago
14

The graph below shows a quadratic function f(x) and an absolute value function g(x)

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for f(x) = g(x), which are described below:

x_{1} \approx -3.5 and x_{2}\approx 5

The x-values that are approximate solution of the equation f(x) = g(x) are x_{1} \approx -3.5 and x_{2}\approx 5, respectively.

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How does graphing the solution help you to be sure you have correct solution?
Vilka [71]

Answer:

It helps you see the visual move of what you were doing. If you weren't moving anything it would help you see if it is true or false. Say you put a dot on the origin (0,0), then you have to go (x+7,y+3) then moving it on a graph would help show you. So overall it's a visual help to people.

3 0
2 years ago
Read 2 more answers
How many gallons of a 30% salt solution must be added to 40 gallons of a 12% salt solution to obtain a 20% solution?
Sati [7]
Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is

40(12%) + x(30%) = (40 + x)(20%)

With the percents as decimals:

40(0.12) + x(0.3) = (40 + x)(0.2)

Simplifying, we have:

4.8 + 0.3x = 8 + 0.2x

Collecting the x terms on one side and the constants on the other:

0.1x = 3.2

And multiplying both sides by 10 to find x:

x = 32

So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
7 0
3 years ago
Will Mark Brainliest If Correct Answers! Need Some Help Please
djverab [1.8K]

Answer:

Step-by-step explanation:

a) 4x¹⁰ = 2² * x¹⁰

   64x² = 2⁶ *x²

GCF = 2² * x² = 4x²

b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)

                  =4x² *[ (x⁴)² - 4²]

                  = 4x² * (x⁴ + 4) (x⁴ - 4)

                  = 4x² * (x⁴ + 4)* [(x²)²- 2²]

                  =4x² * (x⁴ + 4) * (x² + 2)(x² - 2)

                 

7 0
3 years ago
How do you use the metric system?
baherus [9]

Answer:


The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.


8 0
3 years ago
Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando
qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not​ work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions =\dfrac{3}{12}=0.25

Using binomial probability formula, the probability of getting success in x trials is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

If two televisions are randomly​ selected, then the probability that both televisions work will be :-

P(0)=^2C_0(0.25)^0(0.75)^2=(0.75)^2=0.5625

The probability at least one of the two televisions does not​ work will be :-

P(x\geq1)=1-P(0)=1-0.5625=0.4375

6 0
2 years ago
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