If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)

Answer:

the answer is 32 when simplified.

Step-by-step explanation:

the answer is: D

Answer:

if you simplify it the answer will be

Step-by-step explanation:

D. 32

Answer:

x=8

Step-by-step explanation:

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Answer:

{8,4}     can you mark as brainliest

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Answer:

16.67%

Step-by-step explanation:

i think it B

okkkkkkkkkkkkkkkkkkk

Answer:

The answer is C

I hope this helped.

Answer:

42,996

Step-by-step explanation:

3*16+4*25+2*33=48+100+66=214

Answer:

k=12

Step-by-step explanation:

y varies inversely as the square root of x

\(y=\frac{k}{\sqrt{x} }\)

for some non-zero constant k

y=6 and x=4

\(6=\frac{k}{\sqrt{4} } \\k=12\)

Answer:

-7.66

Step-by-step explanation:

divide 2 by 3 to get a decimal.

We have the next function to find the solutions:

Then, the amount after 7 hours is 3323 grams, and after 60 hours is 241 grams.

Answer:

2) B). Minimize 7S + 9C

3) D) . 3S + 4C ≤ 500

4) B). S + C ≥ 150

5) C) $1150

Step-by-step explanation:

The company makes two types of balls, the balls and their costs are written below:

Soccer ball, S = $7

Cork ball, C = $9

Production time of each ball:

Soccer ball = 3 hours

Cork balls = 4 hours

2) To find the objective function.

Since the cost of each soccer ball is $7 and S balls are produced, the total cost of soccer balls is 7S.

Similarly, the cost of each cork ball is $9 and C balls are produced, total cost is 9C.

The objective function maximize profits and minimizes losses. Here, the objective for this linear programming model is to fulfil the given production requirements at a minimum cost.

Therefore the objective function here is: Minimize 7S+9C

3)The constraint equation for the production hours.

To produce one soccer ball, 3 hours are needed, i.e 3S, to produce one Cork ball 4 hours are needed, i.e 4C.

Since we are given a maximum productin time of 500 hours, the constraint equation for the production hours would be:

3S + 4C ≤ 500

4) Since we are told the combined production quantity for these two balls must be at least 150 units, the constraint equation for the combined production quantity is:

S + C ≥ 150

5)Since each soccer ball costs $7, 100 soccer balls would cost:

7*100 = $700

Similarly, since each Cork ball costs $9, 50 cork balls would cost:

9*50 = $450

Therefore the total cost of production would be:

$700 + $450 = $1,150

Note: Question number 1 isn't a question, it's an expression.

The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.

In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Baking soda needed for a full sheet cake =  8 x 0.65 = 5.2 tablespoons

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Problem 1

--------------------

Explanation:

Let's plug 8 into f(x)

\(f(x) = \frac{x+3}{x^2-4x-21}\\\\f(8) = \frac{8+3}{8^2-4(8)-21}\\\\f(8) = \frac{8+3}{64-32-21}\\\\f(8) = \frac{11}{11}\\\\f(8) = 1\\\\\)

Repeat for g(x)

\(g(x) = \log_{4}(x)\\\\g(8) = \log_{4}(8)\\\\g(8) = \frac{\log(8)}{\log(4)}\\\\g(8) = \frac{\log(2^3)}{\log(2^2)}\\\\g(8) = \frac{3*\log(2)}{2*\log(2)}\\\\g(8) = \frac{3}{2}\\\\\)

I used the change of base formula in the third step.

Lastly, we subtract the results like so

\((g-f)(x) = g(x) - f(x)\\\\(g-f)(8) = g(8) - f(8)\\\\(g-f)(8) = \frac{3}{2} - 1\\\\(g-f)(8) = \frac{3}{2} - \frac{2}{2}\\\\(g-f)(8) = \frac{3-2}{2}\\\\(g-f)(8) = \frac{1}{2}\\\\\)

========================================================

Problem 2

--------------------

Explanation:

Through trial and error (I recommend the rational root theorem), you should find that the roots of R(x) are:  -1, 3, and 8

We'll only focus on positive x values. So we focus on the roots 3 and 8.

It turns out that the R(x) curve dips below the x axis when x is between 3 and 8. When x > 8 is when R(x) is positive and goes upward forever. This represents when the company is making money.

The company does make money when x is between 0 and 3; however, this is a short timespan compared to the other interval. So it's much more effective and realistic to say that the company makes money after 8 days.

In other words, yes the company makes money between day 0 and day 3, but from day 3 to day 8 is when the company loses money. Ultimately the company is profitable again when it's beyond day 8.

A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Answer:

im pretty sure it is 2

Step-by-step explanation:

Answer:

3x2−2x+6/x2

Step-by-step explanation:

have a great day <33333

The probability that a randomly chosen high school student who took the SAT in 2015 will have a mathematics SAT score of more than 700 points is 5.8%.

The distributed samples can be solved using the z-score formula:

We can set with mean  and standard deviation, the z-score of a measure X is given by:

\(Z=\frac{X-u}{sd}\)

The Z-score defines how many standard deviations will be measured from the mean. After finding the Z-score, we should see the z-score table and find the p-value included with this z-score.

This p-value is the probability of the value measuring smaller than X, that is, the percentile of X. by Subtracting 1 from the p-value, we get the probability of the value of the measure is greater than X.

In this problem, we have that:

u=511 sd=120.

This is 1 subtracted by the value of Z when X = 700.

\(Z=\frac{X-u}{sd}\\\\Z=\frac{700-511}{120}\)

Z=1.575.

Z=1.575 has a p-value of 0.942

1 - 0.942 = 0.058.

5.8% probability that a randomly chosen high school student who took the SAT in 2015 will have a mathematics SAT score of more than 700 points.

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Subtract 7 from both sides. Subtract 7 from 23 to get 16. Divide both sides by 4. Divide 16 by 4 to get 4.

According to the symmetric property, if one geometric form is congruent to another, the second shape is likewise congruent to the first. The symmetric property of congruence states that for all angles A and B, if AB A B then BA B A.Transitive Property of Congruence. “If two shapes are congruent to the third shape, then all the shapes are congruent to each other,” asserts the transitive property of congruence.

We can solve an equation by applying the four equality properties: addition, subtraction, multiplication, and division. To get the value of an unknown variable, we simply add, subtract, multiply, or divide both sides of an equation.

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Answer:

Figure 4.

Step-by-step explanation:

It is figure 4 because they are equal length away from each other.

Answer: 3x + 4c + 11

Step-by-step explanation: Combine like terms.

Answer:

it will be $.60

Step-by-step explanation:

divide 90 by 6 and get 15. multiply 4 by 15 and get 60!

4 ounces would be 0.60 cents

Answer:

The answers are:

a) I expect the mean to be larger

b) Mean = 7.2 mg/kg

   Median = 3.65 mg/kg

Step-by-step explanation:

Writing out the distribution for clarity:

0.8 1.9 2.7 3.4 3.9 7.1 11.9 26.0

a) I expect the mean to be larger because from the distribution, the median (middle number) will be less than 4 ( 0.8 1.9 2.7 | 3.4 3.9 | 7.1 11.9 26.0) and the mean will be greater because, from the distribution of the numbers, it is expected to be greater than 4, which the median does not attain.

b) Mean: is a measure of central tendency, that is the average of all the numbers in a distribution. It is calculated by adding up all the number in the distribution and dividing by the number of terms, as follows:

\(Mean (\bar x) = \frac{0.8 + 1.9 + 2.7 + 3.4 + 3.9 + 7.1 +11.9 + 26.0}{8} \\\bar x = \frac{57.7}{8} \\\bar x = 7.2\ mg/kg\)

∴Mean = 7.2 ( to one decimal place)

Median: This is the middle term in a distribution. When the number of distribution is odd, the middle term is picked, or when even, the average of the two middle terms is taken after arranging the numbers in ascending or descending order. This is shown as follows:

0.8 1.9 2.7 3.4 3.9 7.1 11.9 26.0 (two middle term boldened)

\(\therefore Median = \frac{3.4 +3.9}{2} \\Median = \frac{7.3}{2}\\Median = 3.65\ mg/kg\)

Answer:

Quadrilateral

Step-by-step explanation:

The other ones don't fit

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

Answer:

1x - 19683

Step-by-step explanation:

(I have to assume you meant to simplify the equation)

27 to the third power can also be written as: 27 * 27 * 27

That equals 19683

So the equation would be: 1x - 19683

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer: $54 / 3 = $27 for each girl

Step-by-step explanation:

Answer:

33 : 15 : 6

Step-by-step explanation: