3z2 - 2z + 8
-
(10z2 +7z - 12)

Answers

Answer 1

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction


Related Questions

twice a number k plus the quantity s minus 2

Answers

Answer:

2k+s-2

im assuming

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.

f(x) = x^3 + 2x, [-1,1]

Answers

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Free brainliest timmmmmmme :)


What is 2+2?
A. 69
B. 420
C:666
D:21

PLEASE HELP WORTH 4 POINTS

Answers

Answer:

2+2=4

Step-by-step explanation:

lol tell me the subject and ill research and give u n answer

What is 20 divided by 740 with remainder

Answers

Answer:

37 R0

Step-by-step explanation:

740/20=37, so there is no remainder.

I hope this helps you! Have a great day c:

Dividing 20 by 740 gives us remainder 20 and quotient 0.

To find the result of 20 divided by 740 with a remainder,

Perform the division and take note of the quotient and remainder.

20 ÷ 740 = 0 with a remainder of 20.

Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,

with a divisor indicating how many parts we want to split it into.

The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.

20 divided by 740, we are trying to find out how many times 740 can fit into 20.

Since 740 is much larger than 20, it cannot fit even once.

So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.

However, there is a remainder of 20.

The remainder represents the portion of 20 that cannot be evenly divided by 740.

It is what remains after we have divided the dividend by the divisor as many times as possible.

Therefore, 20 divided by 740 is 0 with a remainder of 20.

learn more about remainder here

brainly.com/question/29019179

#SPJ2

What percent is:
45 of 36

Answers

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?

Answers

Answer:

15.29 i think

Step-by-step explanation:

18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.

Answers

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

PLS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYYY! PLS AND TY! :D

Answers

Answer: Kell would be making more money in 19 hours.

Step-by-step explanation:

If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!

An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1

Answers

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

The function h(x) = 2x – 8+ 1 is a transformation of the parent function f(x) = x. Select all the statements that describe a key feature of function h.​

Answers

Answer:

1

4

5

Step-by-step explanation:

Will mark as brainless if you answer correctly

Answers

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

determine the slope of the line that passes through each pair of points (3,8) and (1,5)

Answers

Answer:

3/2

Step-by-step explanation:

The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.

Answers

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

-413.4=-15.9n please help

Answers

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

I WILL REWARD BRAINLIEST OKAY IM BEGGING YOU HELP ME

IN THAT PHOTO WHAT ARE THE X AND Y INTERCEPTS!?! WAIT DON'T LOOK AT THE PHOTO YET!!

PLEASE LOOK AT THIS EXAMPLE:

X intercept: ( ), ( )
Y intercept: ( ), ( )

NOW LOOK. AT THE PHOTO PLEASE!!​

Answers

Answer:

X-intercept: -10

Y-intercept: -45

(-10),(-45)

Step-by-step explanation:

Hop this helped, Have a Wonderful Day!!

when a pendulum swings, at which point is potential energy highest?

Answers

The bottom. Mark Brainliest

i need more help i'm so bad at this subject z/4 - 1/2 = 9? pls steps and test

Answers

answer: x=38

Step-by-step explanation:

hope I help you

You have 1 pounds of egg whites
You need 8 oz to make one serving of meringue
How many servings can you make?

Answers

Answer:

2 servings

Step-by-step explanation:

1 pound is 16 ounces

2 servings because 16oz is 1 pound

HELP PLEASE the second one is a match question

Answers

Answer:

1)Coefficient

2)Dividend

3) Quotient  

Step-by-step explanation:

David has available 40 yards of fencing and wishes to enclose a rectangular area.

Answers

Answer:

5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.

Step-by-step explanation:

yes

rationalise the denominator 1/√20

Answers

Answer:

1/10

Step-by-step explanation:

uf no me dij hi g go be h in go i

Step-by-step explanation:

Given:

1/√20

The denominator = 20

We know that

The rationalising factor of a is a. To rationalise the denominator of 1/√20, we multiply this by √20/√20.

1/√20

→ (1/√20) * (√20/√20)

→ [1(√20)]/[(√20)(√20)]

→ (√20)/√(20×20)

→ √20/20 Ans.

Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?

Answers

Answer:

store C

Step-by-step explanation:

if you divide 7.56 by 7 it'll be $1.08 per candy bar.

PLEASE HELP ASAP

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

10) m: 6

    b: 5

    y= 6x +5

12)  m: -2

     b: -1

     y= -2x-1

14)  m: 1

     b: 0

     y= x

Step-by-step explanation:

The slope-intercept form is the form y=mx+b

m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.

Remember the slope is "rise over run", so, the difference in y over the difference in x.

b is the y-intercept. You can find it by looking at where the line crosses the y-axis.

Hope this helps you out!

Find all whole numbers m such that m and 5m+1 are prime numbers.

Answers

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.

Answers

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

The function t= 21.55 cos (pi/6(m-7)) + 43.75 models the average high temperature in degrees Fahrenheit each month

Answers

Answer:

B - 8

Step-by-step explanation:

Answer:

answer is letter b 8

Step-by-step explanation:

Allan wanted to become a machine salesperson. He was offered a job that paid him $40,000 a year plus a commission of $300 for every machine he sells. If Allan made &50,800 last year, how many machine did he sell?

Answers

Answer:

36

Step-by-step explanation:

50800-30000=10800/300=36

:)

An item that cost $220 has been marked up by 15% since last year. However, a person can buy the item for a 25%
employee discount. How much will the employee pay?

Answers

Answer:189.75

Step-by-step explanation: 220 * 0.15 = 33

220 + 33 = 253

253 * 0.25 = 63.25

253 - 63.25 = 189.75

At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?

Answers

Answer:

4:5

Step-by-step explanation:

The ratio will be 60 : 75

When simplified becomes 4:5

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