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ycow [4]
3 years ago
11

Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x

+ 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)
ty
Mathematics
1 answer:
Paul [167]3 years ago
7 0
These functions are expressed in the factored form: what this means is that say for the first one y=(x-4)(x-1)(2+x)(3+x) ... when x=4, the first bracket becomes 0. Same for x=1, x=-2, x=-3 ... 

If you were to graph this, you would see that the function's line interesects the x-axis at these points... when x=4, when x=1, etc etc.

Thus, take a look at the zeroes of the graph. At which x points do they interscet the x-axis? You can determine the equation of your graph by this.
You might be interested in
Which of the following equations is written in standard form ? A. 2.5x+3=12 B. -10x-3=1 C. 2x+3=12 D. 5x+5y=10
muminat
D. 5x+5y=10

The other 3 could be simplified further and have no y value.

Hope that helps
8 0
2 years ago
Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
John earns $25 per hour as a part-time firefighter. If John works 30 hours per week, how much does he earn that week?
Tanzania [10]

Answer: $750

Step-by-step explanation:

So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.

25=1

?=30

then we can cross multiply which is

\frac{25(30)}{1}=750

so the answer is John earns $750 a week.

8 0
3 years ago
Write a linear equation in standard form that crosses (4, -3) and (-2, 9): 
kirill115 [55]
Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4)  => y=-2×+5
D is the line asked
Slope: -1/3 
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
8 0
3 years ago
2 + − 1 ( − ) + 7 ( 2 − )
olasank [31]

Answer:

Step-by-step explanation:

15

3 0
3 years ago
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