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DaniilM [7]
2 years ago
6

What are the factors of 2x2 + 3x – 54? Select two options. 2x – 9 2x – 6 2x + 6 x – 6 x + 6

Mathematics
1 answer:
andrew-mc [135]2 years ago
8 0

Answer:

2x − 9 and x + 6

Step-by-step explanation:

2x² + 3x − 54

Factor using the AC method.

2 × -54 = -108

Factors of -108 that add up to 3 are +12 and -9.

Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.

Therefore, the factors are x + 6 and 2x − 9.

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Osvoldo has a goal of getting at least 30\%30%30, percent of his grams of carbohydrates each day from whole grains. Today, he at
Alchen [17]
Hi there! Osvoldo did not meet his goal.

(In my answering I suppose you mean 30%, 220 grams of carbohydrates and 55 grams of whole grains, if this is incorrect, please let me know)

Today Osvoldo ate 220 grams of carbohydrates.
10 % of 220 is 22 (divide by 10), and therefore 30 % of 220 is 22 * 3 = 66. 

If at least 66 grams of Osvoldo's total consumption consisted of whole grains, he would have met his goal. However, he only ate 55 grams of whole grains (which is less than 66), and therefore he did not meet his goal.
8 0
2 years ago
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Which graph represents the function f(x) = (x – 5)2 + 3?
goblinko [34]
The function
f(x)=(x-5)^2+3
describes a parabola with vertex = (5, 3).

The graph of the function is attached.

4 0
2 years ago
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Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st
Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)  

b) n=523 rounded up to the nearest integer  

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=530 represent the sample mean for the sample  

\mu population mean

s=70 represent the sample standard deviation  

n=48 represent the sample size (variable of interest)  

Confidence =95% or 0.995

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

The degrees of freedom are df=n-1=48-1=47

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,47)".And we see that z_{\alpha/2}=2.01  

Now we have everything in order to replace into formula (1):  

530-2.01\frac{70}{\sqrt{48}}=509.692  

530+2.01\frac{70}{\sqrt{48}}=550.308  

So on this case the 95% confidence interval would be given by (509.592;550.308)  

Part b

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (a)  

Assuming that \hat \sigma =s

And on this case we have that ME =6msec, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (b)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (b) we got:  

n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523  

So the answer for this case would be n=523 rounded up to the nearest integer  

3 0
2 years ago
I need help with econ! please download the word file to see the pictures. Figure: Wireless Mouse Market) According to the graph
Brrunno [24]

Answer:

ok hold on ima do it step by step

7 0
2 years ago
Answer plz. Zzzzxxzzz
Bezzdna [24]

Answer:

m= -12

Step-by-step explanation:

-15m-30=-12m+6

-3m=36

m=-12

7 0
1 year ago
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