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ICE Princess25 [194]
2 years ago
8

Given the function f(x) = 8x^2-3x+2 Calculate the following values

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
7 0

1) \text{ } f(-2)=8(-2)^{2}-3(-2)+2=\boxed{40}\\\\2) \text{ } f(-1)=8(-1)^{2}-3(-1)+2=\boxed{13}\\\\3) \text{ } f(0)=8(0)^{2}-3(0)+2=\boxed{2}\\\\4) \text{ } f(1)=8(1)^{2}-3(1)+2=\boxed{7}\\\\5) \text{ } f(2)=8(2)^{2}-3(2)+2=\boxed{28}

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a construction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut w
lapo4ka [179]

Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process.  First, convert the whole number "9" into a fraction by giving it a denominator of "1".  It should look like 9/1.  Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.

Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5.  It's just a matter of multiplying across the math sentence.  Multiply the numerators (9x3) and the denominators (1 x 5).  Your new fraction should be 27/5.  This is your answer in the improper fraction format.

You can create other formats depending on the expected answer.  For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5.  This can be further converted into 5.4 if you need your answer in decimal form.


4 0
3 years ago
Please help! answer each column (question in picture) for brainliest
Inga [223]

Answer:

See attachment

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Add the equations 4x−4y =-2 and −9x4y=-3
goblinko [34]

Answer:-5x-8y=-5

Step-by-step explanation:

add right sides of equation and even them with result of adding right sides of equation

4x-4y-9x-4y=-2-3

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6 0
2 years ago
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
9( 2k + 3 ) + 2 = 11 ( k- y )
Mashcka [7]
9(2k+3)+2=11 (k-y) 
k=-11/7 y+ -29/7
8 0
3 years ago
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