Let f(x) = -2x -2. The graph of g(x) = f(x) + k is shown below. Identify the value of k.

Answer:

Degree: 5

Y-intercept: 12

Step-by-step explanation:

The given expression is

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

Since the factors are multiplying, we can analyse the degree of each factor and add them to find the degree of the polynomial.

The degree of the factor [tex]-(x+1)^2[/tex] is 2.

The degree of [tex](2x-3)[/tex] is 1

The degree of [tex](x+2)^2[/tex] is 2

Therefore the degree of the polynomial is 2+1+2=5

To find the y-intercept, we put x=0.

[tex]f(0)=-(0+1)^2(2(0)-3)(0+2)^2[/tex]

[tex]f(0)=-(-3)(4)=12[/tex]

The y-intercept is 12

Divide the total weight of granola by the weight of each bar.

768 ounces / 4 ounces per bar = 192

They can make 192 bars.

The answers are:

First box: 7 times the cube of the sum of x and 8

Second box: 8 added to the cube of 7x.

Third box: 8 added to 7 and x cubed.

Fourth box: the cube of the sum of 7x and 8.

We are given the expression and we need to macth to the correct verbal description, so we have:

First box:

[tex]7(x+8)x^{3}[/tex]

It's 7 times the cube of the sum of x and 8

Second box:

[tex](7x)^{3}+8[/tex]

We have that "7x" is cubed and then, added to 8, so,  it's 8 added to the cube of 7x.

Third box:

[tex]7x^{3}+8[/tex]

We have "7" times "x" cubed and added to 8, so it's 8 added to 7 and x cubed.

Fourth box:

[tex](7x+8)x^{3}[/tex]

We have "7x" added to 8, and the expression is cubed, so, it's the cube of the sum of 7x and 8.

Have a nice day!

Answer:

The measure of angle LMW is [tex]m\angle LMW=67\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK][/tex]

substitute the given values

[tex]65\°=\frac{1}{2}[arc\ MW+68\°][/tex]

[tex]130\°=[arc\ MW+68\°][/tex]

[tex]arc\ MW=130\°-68\°=62\°[/tex]

step 2

Find the measure of arc LK

we know that

[tex]arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°[/tex] -----> by complete circle

substitute the given values

[tex]164\°+62\°+68\°+arc\ LK=360\°[/tex]

[tex]294\°+arc\ LK=360\°[/tex]

[tex]arc\ LK=360\°-294\°=66\°[/tex]

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK][/tex]

substitute the given values

[tex]m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°[/tex]

Applying the inscribed angle theorem, the measure of angle LMW is found as: 67°.

According to the inscribed angle theorem, the measure of an inscribed angle is half the measure of the arc that is intercepted.

Given:

Find m(MK):

m(MK) = 2(m∠MLK) (inscribed angle theorem)

Substitute

m(MK) = 2(65°)

m(MK) = 130°

Find m(LK):

m(LK) = 360° - m(LM) - m(MK) (full circle)

Substitute

m(LK) = 360° - 164° - 130°

m(LK) = 66°

Therefore:

m∠LMW = 1/2[m(LK) + m(WK) (inscribed angle theorem)

Substitute

m∠LMW = 1/2[66° + 68°]

m∠LMW = 1/2[134°]

m∠LMW = 67°

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Answer: The graph is shifted 6 units to the right.

Step-by-step explanation:

It is important to remember that:

When [tex]f(x-k)[/tex], then the function is shifted "k" units to the right.

Knowing this and given the quadratic parent function [tex]y=x^2[/tex] and the function [tex]y-1=\frac{1}{2}(x-6)^2[/tex], you can observe that one of the transformations is the following:

[tex]f(x-k)[/tex]

Where:

[tex]k=6[/tex]

Therefore, you can notice that the effect is:

The graph is shifted 6 units to the right.

Answer:

1/26

Step-by-step explanation:

There's only 1 four of spades and only 1 six of diamonds.  So the probability is:

P = P(4 of spades) + P(six of diamonds)

P = 1/52 + 1/52

P = 1/26

The probability of selecting the four of spades or the six of diamonds from a standard 52-card deck is 1/26. This is determined by adding the probabilities of each individual card being drawn since they are mutually exclusive events.

The question asks about the probability of selecting a specific card from a standard 52-card deck. To find the probability of selecting either the four of spades or the six of diamonds, we recognize that these are two distinct events. Since there is one four of spades and one six of diamonds in a deck, and there are 52 cards in total, the probability of drawing the four of spades is 1/52 and similarly the probability of drawing the six of diamonds is also 1/52. These events are mutually exclusive, meaning they cannot happen at the same time, so we can simply add the two probabilities together to find the total probability:

Probability(four of spades or six of diamonds) = Probability(four of spades) + Probability(six of diamonds) = 1/52 + 1/52 = 2/52.

Therefore, the probability is 2/52, which can be simplified to 1/26.

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Answer:

False

Step-by-step explanation:

12 × 15 = 180

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 180

Answer:

180.

Step-by-step explanation:

Something wrong there. Mine says 180.

12 * 15 = 12*10 + 12*5

= 120 + 60

= 180.

I do not see an illustration.

Check the picture below.

recall the diameter is twice as long as the radius, thus d = 2r = 38.42 or rounded up to 38.

Answer:

5

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

= 24

sum of numbers without the two 2s

= 24 - 2(2)

= 20

average of other 4 numbers

= 20 ÷ 4

= 5

The average of the other four numbers is 5.

How to find the average?

The average of six numbers is 4. If the of two of those numbers is 2.

The total sum of the 6 numbers

= 4 ×6

= 24

The sum of numbers without the two 2s

= 24 - 2(2)

= 20

The average of other 4 numbers

= 20 ÷ 4

= 5

Hence, The average of the other four numbers is 5.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]g(x)=2^{x-1}+3[/tex]

This is a exponential function

The domain is the interval ----> (-∞,∞)

All real numbers

The range is the interval ----> (3,∞)

All real numbers greater than 3

The y-intercept of the function is the value of the function when the value of x is equal to zero

For x=0

[tex]g(0)=2^{0-1}+3[/tex]

[tex]g(0)=2^{-1}+3[/tex]

[tex]g(0)=\frac{1}{2} +3[/tex]

[tex]g(0)=3.5[/tex]

The y-intercept is the point (0,3.5)

using a graphing tool

The graph in the attached figure

Answer:

The first answer

Step-by-step explanation:

I took the test

i think this is the right one sorry if im wrong

Answer: The answers are:

row 1-  slope from P to Q = F/E

row 2- definition of slope

row 3- F´/E´ = F/E

I think that this is the correct picture was the correct one for your problem.

Answer:

it would be c beacuse i did the test so ya

Answer:

b

Step-by-step explanation:

so the bike costs $129, but she already has $24 saved, then she'll be saving $3 per week so let's take a peek at a table of those savings

week 1..................... total amount......... 24 + 3(1)

week 2..................... total amount......... 24 + 3(2)

week 3..................... total amount......... 24 + 3(3)

week 4..................... total amount......... 24 + 3(4)

week 5..................... total amount......... 24 + 3(5)

week w..................... total amount......... 24 + 3(w)

[tex]\bf \stackrel{\textit{total savings}}{s(x)}=\stackrel{\textit{initial amount}}{24}+\stackrel{\textit{weekly savings}}{3w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{cost of the bike}}{129}=24+3w\implies 105=3w\implies \cfrac{105}{3}=w\implies 35=w[/tex]

Answer:

24 + 3x = 129

35 weeks

Step-by-step explanation:

She already has 24 dollars saved, but will save 3 dollars every week. Use x to represent the number of weeks. In total she will save 129.

Solve for x using the equation:

24-24 + 3x = 129-24

3x = 105

3x/3 = 105/3

x= 35

Answer:

A

Step-by-step explanation:

Let's check each one-by-one.

a.

we know 3.79 liters is 1 gallon, so 4 liters IS NOT LESS THAN 1 gallon

THis is false.

b.

We know 1 feet is 0.30 meters, so definitely 1 foot is less than 1 meter.

This is true.

c.

we know around 28.35 grams is 1 ounce, so definitely 25 grams is less than 1 ounce.

THis is true.

d.

We know 1 km is approximately 0.62 miles so 10 km would be around 0.62*10 = 6.2 miles

So definitely 9 miles IS GREATER than 10 km.

THis is true.

So answer choice A is false, only.

Answer:

6 : 11

Step-by-step explanation:

the ratio 6 : 11 applies to all linear measure in the similar polygons

Both side lengths and perimeter are linear, hence

ratio of both is 6 : 11

Answer: X = 8 And Y = 5 "First Choice Letter A"

Step-by-step explanation: x + y = 13......x = 13 - y

2x - 3y = 1

2(13 - y) - 3y = 1

26 - 2y - 3y = 1

-2y - 3y = 1 - 26

-5y = -25

y = -25/-5

y = 5

x + y = 13

x + 5 = 13

x = 13 - 5

x = 8

so, x = 8 and y = 5

Answer:

-23

Step-by-step explanation:

Each term is 6 less than the past term. Hopw this helps!

There is no "standard" way to solve an exercise like this: you just have to eyeball the sequence and try to find/guess the pattern.

The most common (and easy!) examples are arithmetic or geometric sequence, where the difference or ratio between two consecutive terms is constant.

This is one of those cases: this is an arithmetic sequence, because you obtain every next term by subtracting 6 from the previous one:

[tex]a_1 = 7\\a_2 = a_1-6 = 7-6 = 1\\a_3 = a_2-6 = 1-6 = -5\\a_4 = a_3-6 = -5-6 = -11\\a_5 = a_4-6 = -11-6 = -17[/tex]

So, we can deduce

[tex]a_6 = a_5-6 = -17-6 = -23[/tex]

Answer:

9

Step-by-step explanation:

What you're going to do is

-take the area and divide it by the amount of sides (a square has 4)

36/4=9

Answer:

there is a SMALL DIFFERENCE in the mean number of stray cats placed in homes by a new leash on life animal clinic each week and the mean number of stray cats placed in homes by no ruff stuff animal each week

Step-by-step explanation:

i got it right lol

There is a small difference in the mean number of stray cats placed in homes.

We have given the mean of each distribution

The mean is the mathematical average of a set of two or more numbers that can be computed with the arithmetic mean method or the geometric mean method.

Therefore we can say that,

There is a small difference in the mean number of stray cats placed in homes by a new leash on life animal clinic each week and the mean number of stray cats placed in homes by no ruff stuff animal each week.

Therefore there is a small difference in the mean of each distribution.

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Answer:

Downwards.

Step-by-step explanation:

The coefficient of x^2 is negative (-3) so it opens downwards. All values of x will be 0 or negative.

Answer:

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y > 3x + 2

for (-2, -7) → x = -2, y = -7

-7 > 3(-2) + 2

-7 > -6 + 2

-7 > -4         FALSE

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

for (-1, -5) → x = -1, y = -5

-5 > 3(-1) + 2

-5 > -3 + 2

-5 > -1      FALSE

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

for (2, 8) → x = 2, y = 8

8 > 3(2) + 2

8 > 6 + 2

8 > 8       FALSE

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

for (2, 9) → x = 2, y = 9

9 > 3(2) + 2

9 > 6 + 2

9 > 8       TRUE

The volume is (area of cross-section) x (length) .

-- The cross-section is a triangle.  The area of a triangle is

Area = (1/2) (base) (height) .

In this one, the base is 9/4 m and the height is 3-1/3 m .

Area = (1/2) (9/4 m) (3-1/3 m)

Area = (1/2) (9/4) (10/3)

Area = 90/24 m² .

-- Volume = (area of cross-section) x (length)

Volume = (90/24 m²) x (7-1/3 m)

Volume = (90/24) x (22/3) m³

Volume = (1,980 / 72) m³

Volume = 27.5 m³  

Answer:

The area of triangle ABC is [tex]25\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of triangle ABC is equal to the area of triangle ABO minus the area of triangle ACO

see the attached figure to better understand the problem

step 1

Find the area of triangle ABO

The area is equal to

[tex]A=\frac{1}{2}(AO)(BO)[/tex]

substitute values

[tex]A=\frac{1}{2}(10)(5+2)=35\ cm^{2}[/tex]

step 2

Find the area of triangle ACO

The area is equal to

[tex]A=\frac{1}{2}(AO)(CO)[/tex]

substitute values

[tex]A=\frac{1}{2}(10)(2)=10\ cm^{2}[/tex]

step 3

Find the area of triangle ABC

[tex]35\ cm^{2}-10\ cm^{2}=25\ cm^{2}[/tex]

The statement that is always true is that supplementary and complementary angles are always adjacent angles.

The statement that is ALWAYS TRUE is (C) Supplementary and Complementary angles are always adjacent angles. Supplementary angles are two angles that add up to 180 degrees, while complementary angles are two angles that add up to 90 degrees. Adjacent angles are two angles that have a common vertex and a common side between them. So, it is always true that supplementary and complementary angles are adjacent angles because they share a common side.

Answer:

2^3/2

Step-by-step explanation:

The question is on formulae variation

Given T²=A³.....................the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

Making T subject of the formulae

T²=A³.............................square root both sides

T= √A³ OR    (A³)^1/2

if  the orbital period of planet Y is twice the orbital period of planet X then,

Y=2T

Y=2× √A³

Y=2×(A³)^1/2

Applying the laws of indices

Y=2×(A)^(3×1/2)

Y=2×(A)^3/2

Compare

A^3/2 and 2A^3/2

The mean distance increased by 2^3/2

Answer:

If Mr. Cooper decides to make a new scale drawing of the play set, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ⇒ the last answer

Step-by-step explanation:

* Lets study what is the meaning of the scale factor

- To find a scale factor between two similar figures

# Find two corresponding sides and write the ratio of the two sides.

# If you begin with the smaller figure, your scale factor will be less

  than one.

# If you begin with the larger figure, your scale factor will be greater

  than one

* Now lets solve the problem

- The rectangular sandbox, has a length of 5 feet and a width of

  7 feet

- On the scale drawing, the length of the sandbox is 2 inches

- The actual sandbox and the drawing sandbox are similar

∵ The length of the actual sandbox is 5 feet

∵ The drawing length is 2 inches

∵ 1 foot = 12 inches

∴ The scale factor is 2/(5 × 12) = 1/30

* That means each actual dimensions will multiply by 1/30 to find

  the drawing dimensions

∴ The drawing length of the sandbox = 5 × 12 × 1/30 = 2 inches

∴ The drawing width of the sandbox = 7 × 12 × 1/30 = 2.8 inches

* All of the dimensions in the old drawing will be multiplied by

 a factor of 1/30

1/2 inch

3 3/4

2

i know im 2 years late but hopefully this helps someone else

Answer:

32

Step-by-step explanation:

The face closest to us has 4 by 4 unit cubes which is 16 cubes.

There are 2 faces deep in the cubiod so the total is 32 unit cubes.

Answer:

The size of the cuboid is 32, or approximately 5.66 squared.

Step-by-step explanation:

First, find the dimensions of the cuboid.

(4)(4)(2)

Next, multiply the numerics (the values).

(4x4)x2 = 16x2 = 32

The cuboid's volume is 32, or about 5.66 squared.

Answer:

[tex]x+y>0[/tex]

[tex]x-y\leq 0[/tex]

Step-by-step explanation:

Given that the sum of x and y is greater than 0.

So we can write inequality [tex]x+y>0[/tex].

When y is subtracted from x, the difference is less than or equal to 0.

So the next inequality is [tex]x-y\leq 0[/tex].

Hence required system of inequalities that can be used to  solve for x and y is :

[tex]x+y>0[/tex]

[tex]x-y\leq 0[/tex]

Answer:

100% sure its A

Step-by-step explanation:

I took the test

Answer: I think the answer is the second box.

Step-by-step explanation: It says 20 males have watched the show. I hope I helped you. If I am wrong, tell me in a polite way. :D

Hello there! The answer is the second chart, or B.

To find the answer, look at the parts of the question.

Let's start in the beginning. Note how it says "Of the 80 participants, 30 were male and 50 were female". This means that, looking at the options, in the "total" row, there should be a value for "30" by male, "50" by female and 80 at the bottom. This means that it cannot be A since this option says that there were 80 females and 80 males and 160 total, or C since it says there are 80 males and 55 females with a total of 135.

Next, it says that 45 have watched the show and 35 have not. If you look at the options left B and D, the only one the has these numbers for have and have not watched is B, making this the correct answer.

I hope this helps and have a great rest of your day! :)