Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)

Answer:

The correct answer is:

Part A: 6 Seconds

Part B: 3 Seconds

Step-by-step explanation:

The given equation is:

⇒  [tex]h(t) =-16t^2+96t[/tex]

Part A:

When h(t) = 0,

⇒ [tex]-16t^2+96t=0[/tex]

On taking "t" as common, we get

⇒ [tex]t(-16t+96)=0[/tex]

⇒ [tex]-16t+96=0[/tex]

On adding "16t" both sides, we get

⇒ [tex]-16t+96+16t=0+16t[/tex]

⇒                      [tex]96=16t[/tex]

⇒                        [tex]t=\frac{96}{16}[/tex]

⇒                        [tex]t=6 \ Seconds[/tex]

Part B:

When [tex]\frac{dh(t)}{dt} =0[/tex]

⇒ [tex]\frac{d}{dt}(-16t^2+96t)=0[/tex]

⇒          [tex]-32t+96=0[/tex]

On adding "32t" both sides, we get

⇒ [tex]-32t+96+32t=0+32t[/tex]        

⇒                      [tex]96=32t[/tex]

⇒                        [tex]t=\frac{96}{32}[/tex]

⇒                        [tex]t=3 \ Seconds[/tex]

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units

Answer:

165

Step-by-step explanation:

In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.

According to the question

Select 3 books to bring on vacation from a group of 11 books.

By using combinations formula

[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]

[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]

= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]

Cancelling out 8! from denominator and numerator

= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]

= 165

Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

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Answer:

continuous

Step-by-step explanation:

Since the function d=45t can have numbers in between and time is constantly happening, he does not hop, or skip at 1 second, then 5 seconds...he is continuously traveling, so time = 1 sec, 1.1 sec., 1.1000001, 1.000002, etc. time does not stop therefore if you graphed this, you would connect the dots, therefore, it is continuous

Answer: x= -2/3y+5/3

Step-by-step explanation:

Let's solve for x.

3x+2y−5=0

Step 1: Add -2y to both sides.

3x+2y−5+−2y=0+−2y

3x−5=−2y

Step 2: Add 5 to both sides.

3x−5+5=−2y+5

3x=−2y+5

Step 3: Divide both sides by 3.

3x/3=-2y+5/3

x= -2/3y+5/3

Answer:

$7194

Step-by-step explanation:

Given the following

Principal = $6600

Time = 9months = 9/12 year

Rate R = 12%

Interest = PRT/100

Interest = 6600*9/12 * 12/100

Interest = 66*9

Interest = $594

Amount on the borrowers check  = principal + interest

Amount on the borrowers check = 6600 + 594

Amount on the borrowers check = $7194

Answer:

.

Step-by-step explanation:

Slope = change in Y / change in x

Slope = (-7 - 2) / (-3 - -3)

Slope = -9/0

Because the change in x = 0, the slope is undefined.

The answer is the slope is  undefined.

Answer:

d. y = 3x + 5

Step-by-step explanation:

plug x = 2 in the equation y = 3x +5

y = 3*2 + 5

y = 11

so x = 2, y = 11

we know d is the correct statement

Answer:

your question and is d option

Answer: One solution

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

they intersect at 1 point

Answer:

4

Step-by-step explanation:

Delta math

The measure of K to the nearest degree is 4°.

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given ΔJKL,

j = 7.9 inches, k = 2 inches, l = 9.8 inches

to find the measure of angle K,

we can calculate the angle by cosine law,

cosK = (j² + l² - k²)/(2.j.l)

cosK = (7.9² + 9.8²  - 2²)/(2*7.9*9.8)

cosK = 154.45/154.81

K = cos⁻¹(0.99748)

K = 4.067⁰ ≈ 4°

Hence angle K is 4°.

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The total Judy saved was £200. Moreover, if she spends £172 on Christmas presents, she will have £28 left.

If you observe the pictogram, two squares are equivalent to £20. This means one square is equivalent to £10. Based on this, let's determine the total she saved every month.

To find out the total money she will have in this situation is equivalent to the total of money she saved - £172 she spent.

Note: This question is incomplete because the pictogram is missing, here I attach the missing section.

Learn more about money in: https://brainly.com/question/2696748

Answer:

i think d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

.....................

9514 1404 393

Answer:

  17 square units

Step-by-step explanation:

There are several ways you can divide this figure into areas that are easily computed.

One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...

  A = (1/2)bh

  A = (1/2)(6)(8) = 24 . . . . square units

The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.

Then the area of the shaded part is ...

  A = 24 - 7 = 17 . . . . square units

Answer:

if it is correct put me a crown please please please if u like my answer hhahahahh ehhehegegg hohohohooh thanks for points

Step-by-step explanation:

4 x 1 = 4

Answer:

2/3 ..................

Answer:

wut can u explain it like more plz

Step-by-step explanation:

Answer:

21 beads

Step-by-step explanation:

15.75 divided by 0.75 = 21

sorry im late hope this helps out :) <3

Answer:

[tex]6[/tex]

12....................may be

Answer:

[tex]t = 4b + 10c[/tex]

Step-by-step explanation:

Given

1 bag = 4 doughnuts

1 carton = 10 doughnuts

Required

Determine the amount of doughnuts in b bags and c cartons

If 1 bag contains 4 doughnuts, then b bags contain 4b doughnuts

If 1 carton contains 10 doughnuts, then c cartons contain 10b doughnuts

So, the total (t) is calculated by adding up the amount of doughnuts in the cartons and the bags:

i.e.

[tex]t = 4b + 10c[/tex]

Step-by-step explanation:

Clearly, there is a common difference between the monthly employment rates:

8.7% - 8.9% = -0.2%

8.5% - 8.7% = -0.2%

8.3% - 8.5% = -0.2%

a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:

y = -0.2x + 9.1, where x = 1 would be October 2011.

January 2013 is 16 months after October 2011, so:

y = -0.2(16) + 9.1

y = 5.9%

b) To find when the unemployment rate will be zero, we set the equation equal to zero:

0 = -0.2x + 9.1

-0.2x = -9.1

x = 45.5 months

So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.

Answer:

your answer will be

A)(6,10)

B)(2,12)

C)(4,4)

Step-by-step explanation:

hope this helps

have a nice day/night ^_^

Answer:

-4

Step-by-step explanation:

If a = -4 then you can eliminate hte -4x and 4x by adding them, you get 0x, so you eliminate the x variable

Answer:

12.5 mils per hour

Step-by-step explanation:

can I get brainliest

First for the average divide 75 /6 and the answer is ur average