x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6 3 7 What are the vertex and range of the function?

Answers

Answer 1

The vertex is the turning point of a function while the range is the interval of the value of the function thus vertex of the given function is at (-4,0) while the range is [0,6].

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given function,

x f(x) −5 1 −4 0 −3 1 −2 2 −1 3 0 4 1 5 2 6

The graph of this function has been plotted below,

The vertex is the point where the function is changing its sign of slope or turning point.

It is clear that at (-4,0) it is changing its slope of sign therefore (-4,0) will be the vertex.

The range is the interval where the function exists since the given function goes from y = 0 to y = 6 so  [0,6] will be the range of the function.

Hence "The vertex is the turning point of a function while the range is the interval of the value of the function thus vertex of the given function is at (-4,0) while the range is [0,6]".

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X F(x) 5 1 4 0 3 1 2 2 1 3 0 4 1 5 2 6 3 7 What Are The Vertex And Range Of The Function?

Related Questions

Jared sells jewelry online. He can make 25 necklaces from 375 beads. Yesterday he made 21 necklaces. How many beads did Jared use to make necklaces yesterday

Answers

The number of beads he used to make 21 necklaces is 315 beads.

How to find the number of beads Jared use to make necklaces?

He sells jewellery online. He can make 25 necklaces from 375 beads.

This means Jared uses 375 beads to make 25 necklaces.

Yesterday he made 21 necklaces.

Therefore, the number of beads he used to make the 21 jewellery can be calculated as follows:

Hence,

25 necklaces = 375 beads

21 necklaces = ?

cross multiply

number of beads used to make the necklaces = 21 × 375 / 25

number of beads used to make the necklaces = 7875 / 25

Therefore,

number of beads used to make the necklaces = 315

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Please asnwer corrrectly and if you could explain or not

Answers

Answer:

y = 4·0.5^x

Step-by-step explanation:

If x is increased by 1, y is multiplied by 0.5.

x | y

0 | 4

1 | 4·0.5

2 | 4·0.5·0.5

3 | 4·0.5·0.5·0.5

The US postal charges $.34 for the 1st ounce and $.23 for each additional ounce. use inequality to find the maximum number of whole ounces that can be mailed for $8.27

Answers

Answer:

Explanations:

The charges for the first ounce = $0.34

Charges for each additional ounce = $0.23

Let the number of additional ounces be n

The maximum total charges = $8.27

The inequality that represents the given illustration is:

0.34 + 0.23n ≤ 8.27

0.23n ≤ 8.27 - 0.34

0.23n ≤ 7.93

n ≤ 7.93 / 0.23

n ≤ 34.48

Maximum number of whole ounces = Number of additional ouces + Initial ounce

Maximum number of whole ounces = 34.48 + 1

Maximum number of whole ou

Express the trig ratios as fractions in simplest form.Drop down menu: (a) are equal (b) are not equal

Answers

ANSWER

[tex]\begin{gathered} \sin O=\frac{34}{35} \\ \\ \cos N=\frac{34}{35} \\ \\ \text{ They are equal.} \end{gathered}[/tex]

EXPLANATION

We want to express the trigonometric ratios as fractions in the simplest terms.

The trigonometric ratios SOHCAHTOA for right triangles for sine and cosine are:

[tex]\begin{gathered} \sin\theta=\frac{opposite}{hypotenuse} \\ \\ \cos\theta=\frac{adjacent}{hypotenuse} \end{gathered}[/tex]

Therefore, for the given triangle, we have that:

[tex]\begin{gathered} \sin O=\frac{34}{35} \\ \\ \cos N=\frac{34}{35} \end{gathered}[/tex]

As we see from the equations above, the sine of O and the cosine of N are equal.

A pool fills up 3 gallons of water in one minute. How many pints does it fill in one minute?

Answers

In this problem we have to use the convertion factor that is equal to 1 so:

[tex]\frac{1gal}{8pn}=1[/tex]

so we can made the transormation:

[tex]3\text{gal}\cdot\frac{8pn}{1\text{gal}}=24pn[/tex]

So in one minute it fills 24 pints

Omar and Zina Aboud found that the dealers cost of the base price was $16.558.16 and the dealer's options cost was $611.60. The consumer paid the $476.00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price.

Answers

We want to calculate the sticker price. The sticker price is given by the formula

[tex]\text{sticker price = base }price+\text{ options + destination charge}[/tex]

We are told that the destination charge is 476. We should determine the base price and the options to find the price sticker.

We are told that the dealer's cost of the base price is 92% of the pase price. So we have the equation

[tex]16558.16=\frac{92}{100}\cdot\text{base price}[/tex]

so if we divide both sides by 92 and multiply by 100 we get

[tex]\text{base price = }16558.16\cdot\frac{100}{92}=17998[/tex]

Now, applying the same principal for the options, we have

[tex]611.60=\frac{88}{100}\text{options}[/tex]

which means that

[tex]\text{options}=611.6\cdot\frac{100}{88}=695[/tex]

Replacing these values in the original equation we have that

[tex]\text{sticker price = }17998+695+476=19169[/tex]

so the sticker price would be 19169

A student buys 5 books for $47.85. If all of the books are the same price, the cost of each book is

Answers

Answer: $9.57

Step-by-step explanation: 47.85/5 = 9.57. Therefore each book costs $9.57.

Please help me with this question

Answers

Step-by-step explanation:

substitution means to use one equation to express one variable only in terms of the other variable and constants.

let's use

6f + 11b = 317

for that purpose.

6f = 317 - 11b

f = (317 - 11b)/6

now we use that my substituting "f" by its identical expression in b in the second equation :

7(317 - 11b)/6 + 5b = 221

to avoid handling fractions we multiply everything by 6 :

7(317 - 11b) + 30b = 1326

2219 - 77b + 30b = 1326

893 - 47b = 0

893 = 47b

b = 893/47 = 19 cents

f = (317 - 11b)/6 = (317 - 11×19)/6 = (317 - 209)/6 =

= 108/6 = 18 cents

a piece of fudge is 18 cents.

a piece of bubble gum is 19 cents.

evaluate the expression 12x-3y when x is -1/4 and y is 3

Answers

Answer:

-12

Step-by-step explanation:

plug in and solve

1. 12(-1/4) - 3(3)

2. -12/4 - 9

3. -3 - 9

4. -12

2. The design of the Trieste was based on the design of a hot air balloon built by Auguste Piccard, Jacques's father. In 1932, Auguste rode in his hot-air balloon up to a record-breaking height.A. Auguste's ascent took 7 hours and went up 51,683 feet. Write a relationship y = kx to represent his ascent from his starting location.B. Auguste's descent took 3 hours and went down 52,940 feet. Write another relationship to represent his descent. C. Did Auguste Piccard end up at a greater or lesser altitude than his starting point? How much higher or lower?

Answers

ANSWER

A. y = 7383.3x

B. y = 17646.7x

C. Lesser altitude; 1257 feet

EXPLANATION

A. We want to write a proportional relationship between the time it took him to ascend and the total height he reached:

y = kx

where x = time taken

y = distance (height reached)

k = constant of proportionality

We have to find k for the relationship.

So, we have that:

[tex]\begin{gathered} 51683\text{ = k }\cdot\text{ }7 \\ \Rightarrow\text{ k = }\frac{51683}{7} \\ k\text{ = }7383.3\text{ ft/hr} \end{gathered}[/tex]

This constant of proportionality (between distance and time) is called speed.

Therefore, the relationship for his ascent is:

y = 7383.3x

B. For his descent, we also have to find k in:

y = kx

We have that:

[tex]\begin{gathered} 52940\text{ = k }\cdot\text{ 3} \\ k\text{ = }\frac{52940}{3} \\ k=\text{ }17646.7\text{ ft/hr} \end{gathered}[/tex]

Therefore, the relationship for his descent is:

y = 17646.7x

C. To find out if he reached a greater or lesser altitude than his starting point, we have to subtract his altitude during ascent from his altitude during descent.

If the value is positive then he ended up at a lesser altitude but if it is negative, he ended up on a greater altitude.

That is:

52940 - 51683

= 1257 feet

Since it is positive, that means that he descended more feet than he ascended and so, he ended up at a lesser altitude than his starting point, 1257 higher.

Leonard is 68 years less than quadruple Sheldon's age. In 12 years, Leonard's age will be 24 years less than two times Sheldon's age. What are their 2 ages?

Answers

Sheldon is 16 4/7 years old, while Leonard is 21 1/7.

We are given the correlations between two numbers in this sort of query, specifically the data when their ages are contrasted now and in the future.

Let x represent Leonard's age.

We can infer Sheldon's age from the question as being 4x - 68.

The following equation results from the question:

x + 12 = 2((4x - 68) + 12) - 24

Fix x,

=> x + 12 = 2(4x - 68 + 12) - 24

x + 12 = 2(4x - 56) - 24

x + 12 = 8x - 112 - 24

x - 8x = -136 - 12

-7x = - 148

x = 148 / 7 or 21 1/7

Now, simply multiply 4x by 68 to get Sheldon's age.

=> 4x - 68

=> 4 * 148/7 - 68

=> 592/7 - 68

=> 116/7 or 16 4/7

Leonard is therefore 21 1/7 years old, while Sheldon is 16 4/7.

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What is the slope of the line that passes through the points (4, -2) and (4, 10)?
Write your answer in simplest form.

Answers

The slope of the line that passes through the points (4, -2) and (4, 10) is 0. The slope of a line is 0 if it is horizontal. This function is constant.

What is slope?

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

If a line rises from left to right, it is said to be growing. The slope is upward, or m>0.

If a line slopes downward from left to right, it is diminishing. The slope, m0, is negative.

The slope of a line is 0 if it is horizontal. This function is constant.

A line's slope is ambiguous if it is vertical.

In other terms, the rise is (y2 y1) = y. The rise of a road between two points is the difference in the altitude of the road at those two sites, say y1 and y2. The run, or (x2 x1) = x, is the difference in distance from a given point measured along a level, horizontal line for relatively small distances where the Earth's curvature may be disregarded. Here, the ratio of the altitude change to the horizontal distance between any two places on the line is used to define the slope of the road between the two points.

In mathematical language, slope m of the line is

slope = [tex]\frac{x-x1}{y-y1} =\frac{4-4}{-2+10} = 0[/tex]

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Which function is the inverse of fix) = V5767O A.(-40) =3622 + 2. for = > 0O B.1-1(0) =652 + 2, for = ≥ 0O C.+ 2. for I > 0O D.f-11) = 6522. for r > 0

Answers

Given:

The function is

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]

Required:

Find the inverse of the function.

Explanation:

The given function is:

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]

Put

[tex]f(x)=y[/tex][tex]y=\frac{\sqrt{x-2}}{6}[/tex]

Interchange x and y.

[tex]x=\frac{\sqrt{y-2}}{6}[/tex]

Take the square on both sides.

[tex]x^2=\frac{y-2}{36}[/tex][tex]\begin{gathered} 36x^2=y-2 \\ y=36x^2+2 \end{gathered}[/tex]

Substitute

[tex]y=f^{-1}(x)[/tex][tex]f^{-1}(x)=36x^2+2[/tex]

Final Answer:

Option A is the correct answer.

The answer to which situation is best estimated by -7? How can you estimate decimal amounts?A The temperature falls 1.9°F from 4.3°F.B A hot air balloon rises 4.1 meters from the ground and then rises 2.3 meters more.C A submarine goes 3.8 feet below the surface of the ocean and then goes 2.5 feet farther downD The amount of money Sarah has after she buys milk for $3.85 and bread for $2.45.

Answers

Answer:

C A submarine goes 3.8 feet below the surface of the ocean and then goes 2.5 feet farther down

Explanation:

Option A

[tex]\begin{gathered} 4.3^0F\approx4^0F \\ 1.9^0F\approx2^0F \\ \text{Estimated change in temperature=}4^0F-2^0F=2^0F \end{gathered}[/tex]

Option B

[tex]\begin{gathered} 4.1\text{ meters}\approx4\text{ meters} \\ 2.3\text{ meters}\approx2\text{ meters} \\ \text{Estimated change in the balloons's height}=4-2=2\text{ meters} \end{gathered}[/tex]

Option C

[tex]\begin{gathered} -3.8f\exponentialE et\approx-4\text{ feet} \\ -2.5f\mathrm{e}et\approx-3\text{ feet} \\ \text{Estimated change in depth=}-4-3=-7\text{ feet} \end{gathered}[/tex]

Option D

[tex]\begin{gathered} \$3.85\approx\$4 \\ \$2.45\approx\$2 \\ \text{Change in the amount Sarah has=-}\$4-\$2=-\$6 \end{gathered}[/tex]

The situation that is best estimated by -7 is Option C.

. Find the slope and y-intercept of the line shown below.to10-8--10-8-6-4-2.co6-4-2---2--4--6--8--10-yX4 6 8 10

Answers

Solution:

Given the graph:

Using two points on the line to find the slope, m:

[tex]\begin{gathered} (0,-1),(5,-2) \\ \\ x_1=0,y_1=-1,x_2=5,y_2=-2 \\ \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex][tex]\begin{gathered} m=\frac{-2-(-1)}{5-0} \\ \\ m=-\frac{1}{5} \end{gathered}[/tex]

Thus, the y-intercept and slope, m of the line respectively are:

[tex][/tex]

6A. Solve h(0)=100-16(0) to the 2nd power and What does the output represent 6B. Solve h(2)=100-16(2) to the 2nd power and does our equation predict that the ball has to hit the ground at 2 seconds. Explain

Answers

I think is confused

6A.- h(0) = 100 - 16(0)^2

= 100 - 0

h(0) = 100

h(0) = 100 ft

The result is the value starting height 100 ft

6B.- h(2) = 100 - 16(2)^2

h(2) = 100 - 64

h(2) = 36 ft

No, the equation does ot predict that the ball is going to hit the ground after 2 seconds because the height was 32 ft, that is the height necessary to hit the ground.

find the coordinates of of the point at -270 degrees on circle radius 3.6 centered at the origin

Answers

Answer: [tex](0, 3.6)[/tex]

Step-by-step explanation:

When rotating -270 degrees, which is the same as 90 degrees, we are going to the topmost point of the graph.

Since the radius is 3.6, this point has coordinates [tex](0, 3.6)[/tex].

State the number of possible real zeros and turning points of f(x) = x^7 – 6x^6 + 8x^5. Then determine all of the real zeros by factoring. 1) 7 real zeros and 6 turning points; 0, 2, and 42) 7 real zeros and 6 turning points; 0, –2, and –43) 6 real zeros and 5 turning points; 0, 2, and 44) 6 real zeros and 5 turning points; 0, –2, and –4

Answers

Step 1

The given equation is

[tex]f(x)=x^7-6x^6+8x^5[/tex]

Required: To find the real zeroes by factorization and the turning points.

Step 2

Find the number of real zeroes

[tex]\begin{gathered} x^7-6x^6+8x^5=0 \\ x^5\mleft(x-2\mright)\mleft(x-4\mright)=0 \\ x^5=\text{ 0} \\ x\text{ = 0 five times} \\ ^{}or\text{ } \\ x-2\text{ = 0} \\ x=\text{ 2} \\ or \\ x-4=0 \\ x=\text{ 4} \\ \text{Therefore, there are 7 real zeroes} \end{gathered}[/tex]

Step 3

Find the number of turning points.

[tex]f^{\prime}(x)\text{ = }7x^6-36x^5+40x^4[/tex][tex]\begin{gathered} As\text{ se}en\text{ from the differential, the number of turning points is found by subtracting 1 from the highest power of the function.} \\ \text{Hence, the number of turning points = 7-1 = 6} \\ \text{There are 6 turning points} \end{gathered}[/tex]

Therefore, there are 7 real zeroes and 6 turning points; 0, 2 and 4

The answer is option A

points on the coordinate plane below which point would lie on both the x-axis and the y-axis ___thats the question

Answers

We see that the unique point that lie on both the x-axis and the y-axis is the pont (0,0)!

Sequence: 0, 4, 8, 12,...
Find the 18th term.

Answers

Answer:

68

Step-by-step explanation:

Mathew deposits 400800.00 kina with the bank which offers 5½% interest per annum. calculate the interest earned after four years if it is compounded annually?

Answers

Solution

For this case we can use the following formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A= future value, P= present value= 400800.00

r= 5.5%=0.055, n =1 , t= 4 years

n= represent the number of times that the interest is compounded each year =1 for this case

Replacing we got:

[tex]A=400800\cdot(1+\frac{0.055}{1})^{4\cdot1}=496520.92[/tex]

then we can find the interest in the following way:

[tex]I=A-P=496520.92-400800=95720.919[/tex]

pls help this is due today and i have no idea what i am doing
(this isnt math but i didnt see music)

Why is it important for musicians to transcribe music?
Why do you think Beethoven’s story is unique (special)?
What are some ways that we can get better at active listening?
Below is a picture of a musical staff. What is a musical staff? What do the top lines and the bottom lines represent?
an image showing both staffs
What is a musical form? How does it make music more interesting?

Answers

Answer: look at explanation

Step-by-step explanation:

1. It helps you learn and listen to minor details in music better.

2. He had a handicap (partially deaf/deaf) but still managed to overcome and lay his mark in the music world.

3. Pay attention, eye contact, listen, pay attention to nonverbal cues, and show that you are listening

4. A foundation on which notes are drawn on. The lines represent a sound in music. A musical form is the structure of musical compositions. It makes music more interesting because it makes it organized and not jumbled up.

What is the equation of the line that contains the points ( -1 , 1 ) and ( 5 , -3) ?

Answers

ANSWER:

[tex]y=-\frac{2}{3}x+\frac{1}{3}[/tex]

STEP-BY-STEP EXPLANATION:

The equation of the line in its slope and intercept form is as follows:

[tex]\begin{gathered} y=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}[/tex]

The slope can be calculated as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Replacing the points (-1 , 1) and (5 , -3) :

[tex]m=\frac{-3-1}{5-(-1)}=\frac{-4}{5+1}=-\frac{4}{6}=-\frac{2}{3}[/tex]

Now, we calculate the value of b, with the help of the slope and the point (-1,1)

[tex]\begin{gathered} 1=-\frac{2}{3}\cdot-1+b \\ b=1-\frac{2}{3} \\ b=\frac{1}{3} \end{gathered}[/tex]

Therefore, the equation would be:

[tex]y=-\frac{2}{3}x+\frac{1}{3}[/tex]

A sequence of positive integers with 2020 terms is called an FT sequence if each
term after the second is the sum of the previous two terms. For example, if the
first two terms of an FT sequence are 8 and 7, the sequence would begin
8,7,15, 22, 37,.... For some positive integer m, there are exactly 2415 FT sequences
where the first two terms are each less than 2m and the number of odd-valued
terms is more than twice the number of even-valued terms. What is the value of m?

(A) 21
(B) 69
(C) 115
(D) 35
(E) 105

Answers

The value of m will be 35.

Consider the FT 0, 1, 1, 2, 3, 5, 8, 13, 21, 24,45,.......

The numbers are arranged in order of even, odd, odd, even, odd, odd, even, odd, odd, even,.......

Hence, the loop contains 3 elements. If the number of terms is 2020 terms, then we have 673 loops + 1 element. (That is 3* 673 +1 = 2020) The last element will start the new loop and it is an even number.

In the other hand with 2019 terms, we have number of odd = 2* number of even. But the last term is even. That makes number of odd < twice number of even and it contradicts with the condition.

However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.

Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.

Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and error.

Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater

than 30.

When m = 33, we get 332 + 33 × 32 = 2145.

When m = 34, we get 342 + 34 × 33 = 2278.

When m = 35, we get 352 + 35 × 34 = 2415, as required.

Hence, Answer: (D)

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7 John and Raul both bought the same style bike from a store. On
Wednesday, John purchased the bike at a 20% discount off the original
price. On Friday, Raul bought the bike for off the original price.
Part A-Who received the greater discount on the bike? Show your work.

Part B-If John saved $24, what was the original price of the bike? Show
your work.

Use words, numbers and/or pictures to show your work.

Answers

John recieved the greater discount and the original price of the bike is $120

John purchased the bike at a 20% discount off the original

price.

Let the price of the bike be x

The price at which John purchased the bike is x - 20% of x

= x - (20/100)x

=(80/100)x

Raul brought the bike at original price.

Raul's cost price is x

x is greater than (80/100)x

Raul purchased at a greater price than John, so the greater discount is recieved by John.

John got discount = (20/100) x

He saved = $24

(20/100)x = 24

20x =2400

x = 2400/20

x = 120

The original price is $120

Therefore, John recieved the greater discount and the original price of the bike is $120

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A rectangle is 4 inches long and 2x inches wide. The value of the perimiter is equal to the value of the area

Answers

When a rectangle has a perimeter equal to the area and is 4 inches long and 2x inches wide, the value of x is 2.

What is the rectangle's perimeter?The sum of the lengths of a rectangle's four sides is referred to as its perimeter.A rectangle's perimeter is equal to 2(L + W).where W denotes the rectangle's width and L denotes its length.

GIVEN:

The perimeter (in inches) of a rectangle with dimensions of 4 inches long by 2 inches wide equals the area (in square inches) specified in the question.Rectangle perimeter (P) equals 2x plus 2L.Rectangle area (A) equals LW

As per the stated circumstance,

P = A LW = 2W+2L 2x(4) = 2(2x)+2(4) (4) 8x = 4x +8 4x = 8 x=2

HENCE,The value of x is 2 when a rectangle has a perimeter equal to the area, is 4 inches long, and is 2x inches broad.

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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2D) y = 2

Answers

Answer

B) y = 3

Step-by-step explanation

Given the system of equations:

[tex]\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}[/tex]

Isolating x from equation 1:

[tex]\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}[/tex]

Substituting equation 3 into equation 2 and solving for y:

[tex]\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}[/tex]

Answer:

y=3

Step-by-step explanation:  

Got it right :/

Describe the
transformation from the
graph of of to the graph
of g.

Answers

In the picture, there is table with functions. g(x)=-f(x)

The graph of g is negative 1 times of graph of f.

Given that,

In the picture, there is table with functions.

We have to find the transformation from the graph of f to the graph g.

The table has functions with the numbers.

x values as -2,-2,0,1

Function f(x) as 4,1,0,1

Function g(x) as -4,-1,0,-1

The f(x) function we can write as

f(x)=x²

And the g(x) function we can write as

g(x)=-x²

Therefore, g(x)=-f(x)

The graph of g is negative 1 times of graph of f.

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A gardening shop receives a shipment of 12 crates of plants. Each crate contains 18 plants. A worker displays all the plants on 24 shelves with the same number of plants on each shelf. How many plants are displayed on each shelf?
A. 6
B. 16
C. 9
D. 36
Thanks!

Answers

Answer:16

Step-by-step explanation:

4to the fitth power times 4 negative 7 expnent

Answers

Answer:

-16,777,216

Step-by-step explanation:

4 to the fifth power =1024

-4 to the seventh power = 16, 384

1024 × -16, 384 =

- 16,777,216

4^5 x 4^-7 = 4^(5 + -7) = 4^-2 = 1/(4^2) = 1/16 [= 0.0625 if you want a decimal answer]
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