Find the minimum value of the function

Answer:

9 full pieces.

Step-by-step explanation:

In order to solve this we have to divide the total feets of wood that Jessie has, by the size of the pieces that Jessie needs:

[tex]\frac{8}{\frac{7}{8} }\\\frac{\frac{8}{1} }{\frac{7}{8} }\\\frac{8*8}{7*1}\\\frac{64}{7} =9.14[/tex]

Since Jessie will be able to cut 9.14 pieces of wood, he will have only 9 full pieces, so the total amount of pieces that he would be able to cut will be 9.

The correct answer is B. y = -1/3x + 2

Sorry if I am wrong, but I believe that this is the correct answer.

Answer: the answer is too low i really hope this hepls

Step-by-step explanation:

Answer:

The correct option is C

Step-by-step explanation:

From the given figure it is noticed that the coordinates of point B are (-5,-7).

If a figure is reflected across x = 1, then

[tex](x,y)\rightarrow (1-(x-1),y)[/tex]

[tex](x,y)\rightarrow (2-x,y)[/tex]

So the coordinates of B after reflection across x = 1 are

[tex](-5,-7)\rightarrow (2-(-5),-7)[/tex]

[tex](-5,-7)\rightarrow (7,-7)[/tex]

If a figure is reflected across y = -3, then

[tex](x,y)\rightarrow (x,-3-(y+3))[/tex]

[tex](x,y)\rightarrow (x,-6-y)[/tex]

So the coordinates of B after reflection across x = 1 followed by reflection across y= -3 are

[tex](7,-7)\rightarrow (7,-6-(-7))[/tex]

[tex](7,-7)\rightarrow (7,1)[/tex]

Therefore the coordinates of the reflection image of B after both reflectionsthe are (7,1) and option C is correct.

The correct given equation is:

v = [3 (h + 1)^2.5 + 580 h – 3] / 10 h

So to solve for the instantaneous velocity at t = 1, we must set h = 0. However we cannot do that since h is in denominator and a number divided by a denominator is infinite. Therefore we must set h to something almost zero. In this case, h = 0.0000001, so that:

at t = 1

v = [3 (0.0000001 + 1)^2.5 + 580 (0.0000001) – 3] / 10 * 0.0000001

v = 58.75 ft/s

The question is asking for the instantaneous velocity of a car at t = 1 second, which would normally be found by differentiating the position function. However, due to potential typos in the provided equation, the instantaneous velocity cannot be calculated directly.

The problem asks for the instantaneous velocity of the car at time t = 1 second. To find the instantaneous velocity, we would typically take the derivative of the position function with respect to time. However, the given equation v = 3(h+1)2.5 + 580h - 3 ave 10h appears to have some issues, possibly due to typos, and cannot be processed as is. In general, if the average velocity function over time h was given correctly, we would evaluate the derivative of that function at h = 0 to find the instantaneous velocity at t = 1 second.

Answer:

4. g(x)=-x+9

Step-by-step explanation:

The correct answer is actually g(x)=-x+9. Just took the text. XD

Answer-

[tex]g(x)=-x+9[/tex]

Solution-

The given function is,

[tex]f(x)=x+9[/tex]

Given that g(x) is the reflection of f(x) over y-axis.

The reflection of the point (x, y) across  the y-axis is the point (-x,y).

So, in case of reflection over y-axis the sign of only x-coordinate is changed and y-coordinate remains same.

So changing the sign of x in f(x) will yield its reflection over y-axis i.e g(x)

Therefore, g(x) is,

[tex]g(x)=-x+9[/tex]

Answer with Step-by-step explanation:

Let x be the cost of 1 pen and y be the cost of 1 pencil

8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10

8x+7y= 3.37  -----------------(1)

and 5x+11y= 3.10  -----------------(2)

equation (1)×5-equation(2)×8

5(8x+7y)-8(5x+11y)=3.37×5-3.10×8

40x+35y-40x-88y= -7.95

-53y = -7.95

y= 0.15

Putting y=0.15 in equation (1), we get

8x+7×0.15=3.37

8x+1.05=3.37

8x=2.32

x=0.29

Hence, Cost of 1 pen=$ 0.29

Cost of 1 pencil= $ 0.15

Answer:

y = 1/3x - 2

Step-by-step explanation:

Answer:

–5 with multiplicity 2 and 0 with multiplicity 4

Step-by-step explanation:

I just got it wrong on edge 2020

The real square roots of 0.0625 are -0.25 and 0.25, as both of these numbers squared equal 0.0625.

The student has asked to find all the real square roots of 0.0625. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we're looking for a number which, when squared, equals 0.0625.

To find this, we can recognize that the square root of 0.0625 could be thought of in fraction form as the square root of 625/10000, which simplifies to the square root of 625 divided by the square root of 10000. This reduces to 25/100 because 625 is a perfect square (25 * 25) and 10000 is also a perfect square (100 * 100). Therefore, the principal square root of 0.0625 is 0.25.

However, since every positive number has two square roots, one positive and one negative, and because the square of both -0.25 and 0.25 gives 0.0625, we conclude that the real square roots of 0.0625 are -0.25 and 0.25.

Answer:

2 1/2 for $6.25

Step-by-step explanation:

Hello

the unit price is the price that you pay for a unit of product, you must find each unit price and compare

the unit price is given by

[tex]Unit\ price = \frac{amount\ paid}{number\ of\ products} \\[/tex]

Step 1

find each unit price

1).2 for $5.08

[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 5.08}{2}\\\\Unit\ price =2.54[/tex]

unit price =2.54 $

2).5 for $12.70

[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 12.7}{5}\\\\Unit\ price =2.54[/tex]

unit price =2.54 $

3) 1/2 for $1.27 2

[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 1.27}{0.5}\\\\Unit\ price =2.54[/tex]

unit price =2.54 $

4) 2 1/2 for $6.25

[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 6.25}{2.5}\\\\Unit\ price =2.5[/tex]

unit price =2.5 $

Step 2

define

Now, we can define that the unit price of 2 1/2 for $6.25 is different to the others.

2.5 ≠ 2.54

Have a great day

To find the probability of not drawing a blue marble from the bag, one must divide the number of non-blue marbles by the total number of marbles, resulting in a probability of 3/4

The question asks to find the probability of not drawing a blue marble from a bag that contains 8 red marbles, 3 blue marbles, and 1 green marble. The total number of marbles is 8 + 3 + 1 = 12. The probability of not drawing a blue marble (P(not blue)) is the number of marbles that are not blue divided by the total number of marbles. This is (8 red + 1 green) / 12 total marbles. Calculated, the probability is 9/12, which simplifies to 3/4

The estimate should be set Approximately $200 per month aside for vacation or travel expenses.

It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.

Given that  $2300 is spent on vacations or travel each year.

It is known that 12 months in a year

= 2300/12

we can round 2300 to 2400 because it is an estimatation value and divide by 12

= 2400/12

= 200

Thus, an approximation of $200 each month.

The estimate should be set Approximately $200 per month aside for vacation or travel expenses.

Learn more about estimation here:

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I will just answer the problem about Pin numbers because the other questions lack other given values.

a. How many different pin numbers are there?

There are 26 letters in total and 10 numbers in total (including zero), therefore the total number of different pin numbers are:

Total possible = 26 * 26 * 10 * 10 * 10

Total possible = 676,000 different pins

b. What is the probability a pin number selected at random ends in 000

The total possible numbers with ending of 0 0 0 is:

Possible numbers = 26 * 26 * 1 * 1 *1

Possible numbers = 676

Therefore the probability is:

Probability = 676 / 676,000

Probability = 0.001 = 0.10%

c. What is the probability a pin number selected at random begins with AA?

The total possible numbers starting with A A is:

Possible numbers = 1 * 1 * 10 * 10 * 10

Possible numbers = 1000

Therefore the probability is:

Probability = 1000 / 676,000

Probability = 1.48 x 10^-3 = 0.148%

The options that are equivalent to the given function are;

Option A

Option B

Option E

The correct options are;

A) f(x) = [tex]162^{x/4}[/tex]

B) f(x) = (3∜2[tex])^{x}[/tex]

C) f(x) = [tex]9\sqrt[4]{2^{x} }[/tex]

D) f(x) = [tex]162^{4/x}[/tex]

E) f(x) = [tex](3(2^{1/4}))^{x}[/tex]

We are given the function; f(x) = [tex](\sqrt[4]{162})^{x}[/tex]

Now, when we have something like; [tex]\sqrt[b]{2}^{a}[/tex]

This expression can also be expressed as; [tex]2^{a/b}[/tex]

Therefore our function can also be expressed as; f(x) = [tex]162^{x/4}[/tex]

Option A; This is correct because it is equal to our function gotten

Option B; f(x) = (3∜2[tex])^{x}[/tex]

From earlier, we will have;  (3 × [tex]2^{1/4}[/tex][tex])^{x}[/tex]

Now, 3 can also be expressed as [tex]81^{1/4}[/tex]

Thus, we now have;

([tex]81^{1/4}[/tex] × [tex]2^{1/4}[/tex][tex])^{x}[/tex]

Factorizing out the 1/4 exponent gives;

(81 × 2[tex])^{x/4}[/tex]

⇒ = [tex]162^{x/4}[/tex]

This is same with our function and it is correct

Option C; f(x) = (9∜2[tex])^{x}[/tex]

This is similar to our equation in option B which was correct but the difference here is 9 instead of 3 and clearly this option is not correct.

Option D; f(x) = [tex]162^{4/x}[/tex]

This is not the same with our function and so it is wrong

Option E; f(x) = [tex](3(2^{1/4}))^{x}[/tex]

As seen in option B;

3 can also be expressed as [tex]81^{1/4}[/tex]

Thus, we now have;

;([tex]81^{1/4}[/tex] × [tex]2^{1/4}[/tex][tex])^{x}[/tex]

Factorizing out the 1/4 exponent gives;

(81 × 2[tex])^{x/4}[/tex]

⇒ = [tex]162^{x/4}[/tex]

This is same with our function and it is correct

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