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tensa zangetsu [6.8K]
4 years ago
14

Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2

Mathematics
1 answer:
Debora [2.8K]4 years ago
6 0

Answer:

x=1 and x=0

Step-by-step explanation:

We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.

We know that:

x^2 + x – 2 =  2x – 2

x^2 - x = 0

Factorizing:

x(x-1) = 0

Therefore, the solution to the system of equation is x=1 and x=0.

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What is x if f ( x) = 23?
musickatia [10]

In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:

y=23.

That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.

Usually functions of x are expressed in terms of x, such as:

f(x) = x^2

6 0
3 years ago
Given the quadratic function y=5x^2−2x identify a, b and c.
saw5 [17]
Work shown above! Answer is
a = 5 b = -2 c = 0

6 0
3 years ago
Read 2 more answers
Can someone please help<br> me complete<br> the table
Lady bird [3.3K]

Answer:

Step-by-step explanation:

-2, 1, 2, 4

7 0
3 years ago
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott
Andreyy89

Answer:

(15.8495,16.2505)  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16.05 ounces

Standard Deviation, σ = 0.2005 ounces

We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.

Empirical rule:

  • It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
  1. It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Confidence interval:

\mu \pm 2\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

16.05 \pm 2(\frac{0.2005}{\sqrt{4}} ) = 16.05 \pm 0.2005 = (15.8495,16.2505)

4 0
3 years ago
171 +727 round it or compatible numbers to estimate the sum
djyliett [7]
171 is rounded to 200 as it is closest to 200 than 100
and 727 is rounded to 700 as it is closest to 700 than 800
when we add 200 and 700 we get the answer 900
The sum of 171 and 727 is:
171 + 727 = 898
and 898 is rounded to 900 as it is closest to 900 than 800.

8 0
4 years ago
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