Find the equation of the exponential function represented by the table below,
X.Y
0 4
1 8
2 16
3 32

Answers

Answer 1

Answer:

Graph the exponential function.

[tex]y=-3(8)^{x}[/tex]

Step-by-step explanation:

to make a sketch of this graph. We're gonna make a table of values. I think that's probably our best route. So we'll do a couple negative values, but I'm gonna actually start at 08 to 0. Power zero. And I'm sorry. 80 parts one and one times negative. Three is negative. Three eight to the first. Power is eight and eight times negative. Three is negative. 24 8 X squared is 64 64 times negative. Three is on negative. 192. Okay, I think that's plenty. E to the negative. First power is 18 and 1/8 times negative. Three is negative. 3/8 and eight to the negative. To power is 1 64th times negative. Three is negative. 3 60 force. Okay, I think we can see where that's going. Is getting really close to zero. So as faras my graph here, I'm gonna focus on the fourth quadrant, I think. All right. So we got our X and y axis here. We're starting at 01 and to and we'll also do negative one. And negative two aren't horizontally, vertically. I do. I want to scale this whole the way to 1 92 I guess I will. Um, so whatever it is scaled by, maybe twenties. Yeah, let's do that. 20 40 60 8120 40 60 8200. So there's negative. 200? Um, negative. 1 80 Negative 1 60? Nope. That's not right. Because I scaled by twenties didn't. So this is actually negative. 1 60 This one's negative. 1 20 This one's negative. 80. And this is negative. 40. There we go. All right now a plot. These points to negative 1 92 is practically to 200 one. Negative. 24 is all the way over here. Zero negative three is practically on the X axis The way I have this, and same with those fractional values. They're practically on the X axis. So let's start almost parallel to the X axis because it's never actually touch step than its we don't ever. Slowly and then it starts going down rapidly, decreasing in value to the point where it's almost vertical, but it never will get vertical, so there's a decent sketch of y equals negative three times eight to the power of acts


Related Questions

explain whether each equation is a linear equation.

Answers

Answer:

3. Not linear

4. Linear

Step-by-step explanation:

3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.

4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.

Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?

Answers

184 students said their favorite color was blue. 77% of 800 is 616, then you subtract 800-616 and get 184.

The number of students whose favorite color was blue is 184.

WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.

We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.

Consider x be the number of students who chose blue as their favorite color.

Therefore, the number of students who chose red is;

77% of 800

= 77/100 × 800

= 616

To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.

Therefore:

x = Total number of students surveyed - Number of students who chose red

x = 800 - 616

x = 184

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice

Answers

Answer:

Step-by-step explanation:

1/3 of the original

Step-by-step explanation:

one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x - 4|?

Answers

Answer:

right... C.

Step-by-step explanation:

Each letter in this equation represents a unique digit. If U stands for 8 and the
other numbers used are 1 through 4, what is one possible answer?

Answers

Answer:

4x2=8

Step-by-step explanation:

This equation is simple and easy cause its base sick math

N is an integer and -2

Answers

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

(a). The solution is [tex]n > 6[/tex]

(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

Inequality:

(a). The given inequality is;

                  [tex]15n > 12n+18[/tex]

Now we have to solve inequality,

                    [tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]

(b).  Inequality is [tex]-2 < n+3\leq 4[/tex]

  Now we have to solve inequality,

                    [tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]

So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

Learn more about the inequality here:

https://brainly.com/question/24372553

What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)

Answers

Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

Which angle is supplementary to 6

Answers

Answer: Angle 3

Step-by-step explanation:

Can anyone solve this correctly?

Answers

Answer:

115.5

Step-by-step explanation:

area of the square: (20-7) x 7 = 13x7 = 91

area of triangle: 7x7 / 2 = 49/2 = 24.5

total area = 91+24.5

= 115.5 in

I'm not sure, but I'm guessing it's this.

The figure1 can be transformed to create figure 2 using a single transformation which transformation can be used to accomplish this

Answers

The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.

The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

Find out more on transformation at: https://brainly.com/question/1462871

on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*

Answers

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

Find the surface area

Answers

Answer:

B.

Step-by-step explanation:

6x3=18

18x4=72

3x3=9

9x2=18

72=18=90

A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air

Answers

Using the relation between velocity, distance and time, it is found that:

The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.

What is the relation between velocity, distance and time?


Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b + v_w = \frac{48}{3}[/tex]

[tex]v_b + v_w = 16[/tex]

Her flight home against the wind took 4 fours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b - v_w = \frac{48}{4}[/tex]

[tex]v_b - v_w = 12[/tex]

Adding the two equations:

[tex]2v_b = 28[/tex]

[tex]v_b = 14[/tex]

[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]

Hence:

The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

please help with 1 or 2 i’ll mark brainly

Answers

Answer:

700 cubic centimetersDisagree. Volume does not depend on slant height.

Step-by-step explanation:

Cavalier's Principle tells you that the slant figures with the same base area and height have the same volume, regardless of the amount of offset.

__

1.

The volume of the oblique cylinder is the same as the volume of the right cylinder: 700 cubic centimeters.

__

2.

Disagree. Both the volume formula for the pyramid and Cavalier's Principle tell you that the volume is not a function of the slant height.

solve:
. [tex]6q^{2} - 17q + 12[/tex]
. [tex]8s^{2} + 2s - 15[/tex]

Answers

For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;

[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]

[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]

[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]

[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]

Now, turning to the second equation ;

[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]

[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]

[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]

[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

I am assuming you want to factor these expressions.

6q^2 - 17q + 12

We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.

Theses are -9 and -8 so we write:

= 6q^2 - 9q - 8q + 12

= 3q(2q - 3) - 4(2q - 3)

= (3q - 4)(2q - 3)

If you want the solution of this expression = zero they are q = 4/3, 3/2.

8s^2 + 2s - 15

8 * -15 = -120.   -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)

= 8s^2 + 12s - 10s - 15

= 4s(2s + 3) - 5(2s + 3)

= (4s - 5)(2s + 3)

If you want the solution of this expression = zero they are s = 5/4, -3/2.

Can someone please help me out with this question? ​

Answers

Answer:

B and B

Step-by-step explanation:

For the first problem, the range is simply the data set rearranged from smallest to largest.

For the second problem, you just have to cross multiply each variable in order to expand the equation and get an answer.

The answer for that one is [tex]12x^{3} -42x^{2} +8x+55[/tex]

Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?

Answers

Answer: Deshi will have 302 marbles  and Elaheh will have 519.

Step-by-step explanation:

Deshi's Marbles will subtract 125.

427 - 125 = 302.

Elaheh's Marbles will add 125.

394 + 125= 519.

A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm

Answers

Answer:320 cubic cm

Step-by-step explanation:  if you  multiply 16x20m  you get 320  cm

A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.

Work out the probability that the 2 marbles taken from the bag are the same colour.

Give your answer as a fraction.

Answers

Answer:

Total number of marbles in the bag is 3 + 4 = 7.

The problem asks for the probability of (RR) or (BB).

It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from

Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

y=2x+b

Step-by-step explanation:

this is the second part of my homework
pls help me if u can :)

Answers

Answer:

no 4. radius is x

no 5. radius is a

no 6. radius is y

Step-by-step explanation:

have no idea about tangents

Solution 4 :-

Tangent = RYPoint of tangency = RRadius = XT

Solution 5 :-

Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT

Solution 6 :-

Radius = YSSecant = TUTangent = ST

Important terms to keep in mind :-

Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.

Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.

Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.

Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.

Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.

Secant : A line segment joining exactly two points of a circle is known as secant.

Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

parts of an algebraic expression separated by plus or minus signs are

Answers

Answer:  called tthe term of an algebraic expression.

Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.Terms of an algebraic expression:Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

27x+9y+3 name the coefficients

HIRRY AND HELP

Answers

Answer: 27 and 9

Step-by-step explanation:

Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.

Hello!

Please remember that

A coefficient is a number before a variable.

What is a variable?

A variable is a letter (like x)

So a coefficient is basically a number before a letter (like 27x)

Hence, the coefficients are

[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

complete the proof, word bank at the bottom HELP PLEASE LOL

Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW

Answers

Answer:

Step-by-step explanation:

3) Definition of supplementary angles

4) Consecutive interior angles converse

5) Alternate interior angles

6) AA similarity

what is the first step of the following division problem?

Answers

option A

hope it's correct and really helps...!!!

Answer: the answer is A i got 100% on my

test

Step-by-step explanation:

There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?

Answers

Answer:

There are 160 books in this section of the library

Step-by-step explanation:

to solve this problem you need to set up a ratio.

since there are 7 times Malay books the number of Tamil books, you can say that

x = # of Tamil books

7x = # of Malay books

next, you know that there are 56 Malay books so you can substitute.

7x = 56

x = 56/7

x = 8

x = # of Tamil books

8 = # of Tamil books

now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.

56 + 8 = 4/10 of the total books

64 = 4/10 of total books

if you call the total books T you can make this equation:

64 = 4/10T

64 * 10/4 = T

160 = T

Help this is due in 15 mins!

Answers

Answer:

Area of the rectangle = 20 square units

Area of left triangle = 8 square units

Area of right triangle = 6 square units

Area of whole figure = 34 square units

Step-by-step explanation:

Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.

Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.

The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.

To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.

Hope this helps! :)

Answer:

Rectangle's area;

Length: 4

Width: 5

Formula for area of rectangle;

A = L*W

Replace values:-

A = 4(5)

A = 20.

Left triangle's area;

Base = 4

Height: 4

Formula for area of triangle;

A = BH x 1/2

Replace values:-

A = 4(4) x 1/2

A = 16 x 1/2

A = 16/2

A = 8.

Right triangle's area;

Base = 3

Height: 4

Formula for area of triangle:

A = BH x 1/2

Replace values:-

A = 3(4) x 1/2

A = 12 x 1/2

A = 12/2

A = 6.

Add all the areas we've found so far to get the figure's total area:

20 + 8 + 6

= 34.

What is the surface area of the box?

Answers

Answer:

54cm²

Step-by-step explanation:

2(3x6) + 2(6x1) + 2(3x1)

= 54cm²

The area of the triangle is 22.4 cm2. Calculate the length, b, of the longest side of the triangle. 97° 3.7 cm a b​

Answers

Answer:

Step-by-step explanation:

y=-3х +6
у= 9
What is the solution to the system of equation

Answers

Answer:

The answer to your problem is x=-1,y=9

Step-by-step explanation:

(-1,9)

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