f(x) = 2x² + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f – g)(x).
A. (f – g)(x) = –6x3 + 4x2 + 4x – 2
B. (f - g)(x) = 6x + 4x – 2
C. (f - g)(x) b= 6x? – 4x² - 4x + 8
D. (f - g)(x) = –6x2 + 4x2 + 4x – 8

Answer:

x = -2 and y = -21

Step-by-step explanation:

Given equations are :

\(y=15x+9\ .....(1)\\\\y=\dfrac{x}{2}-20\ ....(2)\)

From equation (1) and (2)

\(15x+9=\dfrac{x}{2}-20\\\\15x-\dfrac{x}{2}=-20-9\\\\\dfrac{29x}{2}=-29\\\\x=-2\)

Put the value of x in equation (1)

y = 15(-2) + 9

= -30 + 9

y = -21

So, the solution of the equations are (-2,-21).

Answer:

X⁶

Step-by-step explanation:

x⁹/x³

= x⁹-³

= x⁶ is the answer

Answer:

E. \(x^{6}\)

Step-by-step explanation:

To divide two fractions we subtract the power of second expression from the first one:

\(x^{(9-3)} = x^{6}\)

Answer:

Try A

Step-by-step explanation:

I did it myself, and the first one I did, which was A, all had the same slope, so I think it is A.

Answer:

yes no what yes no what yesp

Answer:

A

Step-by-step explanation:

An acute angle is an angle that is less than 90 degrees.

Answer:

Step-by-step explanation:

A

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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The critical value for a two-tailed test at the 0.05 significance level is 1.96.

The null hypothesis is that there is no difference in the proportion of men and women intending to vote for Donald Trump, and the alternative hypothesis is that there is a difference.

The test statistic is given by:

z = (p1 - p2) /√[(p×(1-p)×(1/n1 + 1/n2),

where p = (x1 + x2) / (n1 + n2) and x1 and x2 are the number of successes in samples 1 and 2 respectively, and n1 and n2 are the sample sizes of samples 1 and 2 respectively.

In this case, x1 = 120, x2 = 132, n1 = 250, and n2 = 240.

Plugging these values into the equation gives us z = 0.906.

Since the test statistic does not exceed the critical value, we fail to reject the null hypothesis. That is, there is not convincing evidence that there is a difference in the proportion of all men and the proportion of all women in this city who intended to vote for Trump at the 0.05 significance level.

Therefore, the critical value for a two-tailed test at the 0.05 significance level is 1.96.

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The coefficient of the term 8x² is 8 and the exponent is 2 and the coefficient of the term -2x is -2 and the exponent is 1.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = abˣ  in mathematics, where x is the independent variable

From the expression, a is the coefficient, x is the exponent, and b is the variable

For the term,  y = abˣ, compared with the general equations;

abˣ = 8x²

a = 8 and x = 2

This indicates that the term's coefficient is 8 and its exponent is 2.

Similarly for the second term -2x

So the coefficient of the term -2x is -2 and the exponent is 1

Hence, the coefficient of the term 8x² is 8 and the exponent is 2 and the coefficient of the term -2x is -2 and the exponent is 1.

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Answer:

57327392393629324

Step-by-step explanation:

Answer:

Hello,

Answer D

Step-by-step explanation:

Each value of the graph, y=f(x) is multiplied by 2

Red graph has for eqution y=2*f(x) or y/2=f(x)

Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

Answer:

12x

Step-by-step explanation:

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

To answer this question, we need to perform a hypothesis test to determine whether the sample data supports the claim that the variance in the number of patients seen per day is equal to 10.

The null hypothesis is that the variance is equal to 10:

H0: \(\sigma^2 = 10\)

The alternative hypothesis is that the variance is not equal to 10:

Ha: \(\sigma^2 \neq 10\)

The level of significance is set at 0.10. To calculate the test statistic, we first need to find the sample variance. Using the formula for the sample variance, we get:

\(s^2 = (\sum(x_i - mean)^2)/(n-1) = (104.22)/8 = 13.03\)

The test statistic is calculated as follows:

\(t = (s^2 - 10)/(10/\sqrt{9}) = (13.03 - 10)/(1) = 3.03\)

We can now use Table 3 from Appendix B to determine whether the test statistic is significant at the 0.10 level of significance. Looking at the critical values for a two-tailed test with 8 degrees of freedom and a significance level of 0.10, we find that the critical value is ±2.306. Since our test statistic of 3.03 is greater than 2.306, we reject the null hypothesis.

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

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Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

39

Step-by-step explanation:

12+2×12+3

12+24+3

36+3

39

PEMDAS

Answer:

35%

Step-by-step explanation:

\(Principal = 2500\\\\Simple\:Interest = 3500\\\\Time = 4 \:years\\\\Rate = ?\\\\Rate = \frac{100 \times Simple \: Interest }{Principal \times Time}\\\\Rate = \frac{100 \times 3500}{2500 \times 4} \\\\Rate = \frac{350000}{10000}\\\\ Rate = 35 \%\)

\(S.I = \frac{PRT}{100}\\\\ 100S.I = PRT\\\\\frac{100S.I}{PT} = \frac{PRT}{PT} \\\\\frac{100S.I}{PT} = R\)

Answer:

35%

Step-by-step explanation:

I REALLY HOPE I HELPED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

 ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                PEACE!

Answer:

Rotation

Step-by-step explanation:

We have the equation as;

The general equation of a straight line is the form;

where m is the slope and b is the y-intercept

From the equation given, the slope is -5

Mathematically, when two lines are parallel, the slope of the two lines are equal

So we have the slope of the second line as -5

The equation of the second line

the correct answer is No

Step-by-step explanation:

it's not equal

Answer:

\(\frac{1}{3}\neq\frac{3}{3}\)

Step-by-step explanation:

The two numbers are different

Answer:

\(x=70\)

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

\(\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}\)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

70

Step-by-step explanation:

Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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Answer:2  hope this helps it was right on my test

Step-by-step explanation: it was right on the test i took

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

Answer:

A

Step-by-step explanation:

if you feel cold your body will tell your brain or give feedback to make you think or say its cold

Since K is the midpoint of JL the distance between JK should be the same KL

solve the equation for X

To find the value of JL, use the value of x and add both JK and JL

1 pound is 16 ounces. So, 7 * 16 = 112 ounces

Answer:

112 ounces

Step-by-step explanation: