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3 years ago

F(x)=2x²+3x-4 what if the function is: f(√2)

Mathematics

2 answers:

Vanyuwa [196]3 years ago

4 0

$f(x)=2x^2+3x-4 \\ \\f(\sqrt{2})=2 \cdot (\sqrt{2})^2+3 \cdot \sqrt{2}-4 = 2\cdot 2+3\sqrt{2}-4=4+3\sqrt{2}-4=3\sqrt{2}$

7nadin3 [17]3 years ago

3 0

$f(x)=2x^2+3x-4\\\\f(\sqrt2)=2(\sqrt2)^2+3\sqrt2-4\\\\f(\sqrt2)=2*2+3\sqrt2-4\\\\f(\sqrt2)=4+3\sqrt2-4=3\sqrt2$

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The greatest integer that satisfies the inequality 1.6−(3−2y)<5

Cerrena [4.2K]

Solve the inequality 1.6-(3-2y)<5.

1. Rewrite this inequality without brackets:

1.6-3+2y<5.

2. Separate terms with y and without y in different sides of inequality:

2y<5-1.6+3,

2y<6.4.

3. Divide this inequality by 2:

y<3.2

4. The greatest integer that satisfies this inequality is 3.

Answer: 3.

6 0

3 years ago

Taxes on house assessed at 64,000 are 1500 a year. If the assessment is raised to 85000 and tax rate did not change how much wou

larisa86 [58]

1992.1875
1500/64000= 0.0234375
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6 0

3 years ago

How heavy a load (pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? Here are data from student

statuscvo [17]

Answer:

a. (29526.192 , 32155.808)

b. (29673.9301 , 32008.0699)

Step-by-step explanation:

on calculation, we find that sample mean = 30843 and sample standard deviation = 3018.504, and n=20

Sample Mean = 30841

SD = 3000

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 670.8204

alpha (a) = 1 - 0.95 = 0.05

z critical value for 95% confidence interval:

z(a/2) = z(0.025) = 1.96

Margin of Error (ME) = z(a/2) x SE = 1314.808

95% confidence interval is given by:

Sample Mean +/- (Margin of Error) = 30841 +/- 1314.808

= (29526.192 , 32155.808)

2)when std dev of population is not known, we use sample's, but we have to use t instead of z

Sample Mean = 30841

SD = 3018.504

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 674.958

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown

t(a/2, n-1 ) = 1.7291

Margin of Error (ME) = t(a/2,n-1)x SE = 1167.0699

90% confidence interval is given by:

Sample Mean +/- (Margin of Error)

30841 +/- 1167.0699 = (29673.9301 , 32008.0699)

4 0

3 years ago

I need serious answers ppl keep putting those links

ohaa [14]

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

7 0

3 years ago

Lincoln invested $440 in an account paying an interest rate of 5\tfrac{7}{8}5 8 7 % compounded continuously. Robert invested $

Sidana [21]

Answer: $34

Step-by-step explanation:

5 0

3 years ago