5x - 47< 3(12x - 108) – 2​

Answer:

y = 4[2]^x

Step-by-step explanation:

One possible model for this function is the exponential y = a(b)^(kx).  Notice that if x = 0, y = a, and so, from the graph, we see that a = 4.

Then we have the exponential y = 4(b)^(kx).  Substitute 8 for y and 1 for x:

8 = 4(b)^(k), or 2 = b^k.

Then y = a(b)^(kx) becomes y = 4(b)^(kx) = 4[b^k]^x = 4[2]^x = y

The desired function is y = 4[2]^x.

Check this out.  Does the point (0, 4) satisfy this function?

Is 4 = 4[2]^0 true?  YES, it is.

Is 8 = 4[2]^1 true?  Is 8 = 4(2) true?  YES, it is

Answer:

4.0616 seconds approximately

Step-by-step explanation:

We are looking for how long it takes the ball to hit the ground. h is 0 then.

So we are looking to solve -16t^2+64t+4=0

Divide both sides by -4 to make the numbers a little simpler to work with.

4t^2-16t-1=0

You could aim for completing the square or quadratic formula here.

I'm going for quadratic formula.

a=4

b=-16

c=-1

So the discriminant=b^2-4ac=(-16)^2-4(4)(-1)=16^2+16=16(16+1)=16(17)=272

You could have just put (-16)^2-4(4)(-1) into your calculator.

The quadratic formula says to do:

-b plus or minus square root (discriminant)

-------------------------------------------------------------

                             2 times a

=

16 plus or minus sqrt(272)

-------------------------------------

                   8

=(approximately)

16 plus or minus 16.4924

-----------------------------------

                  8

=

16+16.4924                            16-16.4924

----------------             or            ----------------

        8                                          8

=

32.4924                                  -0.4924

-------------                 or              -----------

     8                                               8

=

4.0616                    or             -0.062

So the baseball hits the ground 4.0616 seconds approximately after the ball has been hit.

Answer: 2 plus or minus square root of 17 end root over 2

Answer:

Chromosome is made up of DNA tightly coiled many times around proteins.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

= 26x3 − 12x2 + 5x + 7

Step-by-step explanation:

Use the FOIL method to multiply the two binomials. Then distribute the negative sign. Finally, order like terms from highest degree to lowest degree and combine.

(2x3 − 3x + 11) − (3x2 + 1)(4 − 8x)

= (2x3 − 3x + 11) − (12x2 − 24x3 + 4 − 8x)

= 2x3 − 3x + 11 − 12x2 + 24x3 − 4 + 8x

= 2x3 + 24x3 − 12x2 − 3x + 8x + 11 – 4

= 26x3 − 12x2 + 5x + 7

Answer:

-3/4

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)

    = (-1-2)/(4-0)

    = -3/4

For this case we have that by definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Where the roots are given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

We have the following equation:

[tex]x ^ 2-3x-2 = 0[/tex]

Then, according to the definition, the values are:

[tex]a = 1\\b = -3\\c = -2[/tex]

Answer:

[tex]a = 1\\b = -3\\c = -2[/tex]

Answer:

The values of a, b, and c in the quadratic equation are:

[tex]a=1\\b=-3\\c=-2[/tex]

Step-by-step explanation:

The general form of a quadratic equation is as follows

[tex]ax^2 + bx +c[/tex]

Where a, b and c are real numbers that represent the coefficients of the quadratic equation and [tex]a \neq 0[/tex]

In this case we have the following quadratic equation

[tex]x^2 - 3x - 2[/tex]

Therefore, notice that:

[tex]a=1\\b=-3\\c=-2[/tex]

Area is in square units.

Square the scale factor: 4^2 = 16

The area is 16 times the original area.

Answer:

-2

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx +b where m is the slope and b is the y intercept

y = -2x+4

The slope is -2 and the y intercept is 4

Answer:

Because the sectors are of equal size, each sector has the same probability of happening.

So for every number, you have a probability of 0.2 of it appearing.

Because you have three odd numbers, the probability to land on an odd number on each spin is 0.6. You can also say that the probability to not have an odd number is 0.4.

So what is the probability to have 0 odd number in two spins?

What is the probability to have 1 odd number in two spins? You can have one odd number on the first or one odd on the second spin, that is why we add the probabilities.

What is the probability to have 2 odd numbers in two spins?

To verify if we did a good job, we add all the probabilities. We should get 1.

.

So to slide your bars, you slide them up to the number I gave you for each case.

Hope this helps!

The likelihood of spinning a 3 on an equal-segment spinner is 1/5 per spin. When spun twice, the probability of getting 3 both times is 1/25. The variable x, which represents how many times 3 is spun, can therefore be 0, 1, or 2.

Your inquiry is related to probability.

Each spin of the spinner is an independent event. This means that the result of the first spin does not influence the result of the second spin. Since the spinner is equally likely to land on any of the 5 sectors, the probability of it landing on 3 (or any given number) is 1 out of 5 or 1/5.

Since the spinner is spun twice, we multiply these probabilities together to find the total probability of spinning a 3 both times. Therefore, the total probability of spinning a 3 twice would be (1/5) * (1/5) = 1/25.

Thus, the variable x, representing the number of times 3 is spun in these two attempts, can be 0, 1, or 2. These are the possible outcomes.

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Answer:

The slope is 4 and the y-intercept is 12.

Answer:

The slope is 4, and the y-intercept is 12.

Step-by-step explanation:

In the given graph consider to coordinates of line:

(-3,0), (-2,4)

Slope of the of line can be calculated by using formula:

[tex](x_1,y_1) , (x_2,y_2)[/tex]

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

[tex]m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4[/tex]

And the equation of the line can be given as:

[tex](y-y_1)=m(x-x_1)[/tex]

m = slope of the line

[tex](y-0)=4\times (x-(-3)[/tex]

[tex]y=4x+12[/tex]

Slope intercept form of line:

[tex]y=mx+c[/tex]...

c = intercept on y axis

On comparing equation line with slope intercept form

y=4x+12

y=mx+c

m = 4, c = 12

The slope is 4, and the y-intercept is 12.

Answer:

750 households

Step-by-step explanation:

45+57+18=120

45/120=3/8

(3/8)*2120= 750 households would support.

Hope I helped.

Evelyn can serve nine friends with her three apples if she gives each friend 1/3 of an apple by performing a simple multiplication of the number of apples, which is 3, by the reciprocal of 1/3.

Evelyn has three apples and wants to serve each friend 1/3 of a whole apple. To find out how many friends she can serve, we must divide the total number of apples (which is 3) by the fraction each friend receives (which is 1/3).

We perform the division by multiplying the total number of apples by the reciprocal of 1/3, which is 3. So, 3 apples x3 gives us 9. Therefore, Evelyn can serve nine friends.

Understanding fractions can be made easier by relating them to everyday examples. Say, if you have a whole pie, then one-third of this pie represents a slice that is one out of three equal parts of the pie. Knowing that four quarters make one dollar can also make it easy to grasp that four quarters (or four 1/4s) make a whole, just like four 1/4s of a pie would make a full pie.

Answer:

[tex]\large\boxed{y=\dfrac{2}{3}x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

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

We have the points:

(0, 4) → y-intercept (b = 4)

(3, 6)

Substitute:

[tex]m=\dfrac{6-4}{3-0}=\dfrac{2}{3}[/tex]

Finally we have the equation:

[tex]y=\dfrac{2}{3}x+4[/tex]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-2}{0+3}[/tex] = [tex]\frac{2}{3}[/tex]

note the line crosses the y- axis at (0, 4) ⇒ c = 4, hence

y = [tex]\frac{2}{3}[/tex] x + 4 ← in slope- intercept form

OR

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{2}{3}[/tex] and (a, b) = (3, 6), hence

y - 6 = [tex]\frac{2}{3}[/tex](x - 3) ← in point- slope form

Answer:

6m

Step-by-step explanation:

for every one meter there's 100 cm so 600cm = 6m

There are 100 cm in 1 m this means that to find how many meters are in cm you would divide 600 by 100

600 / 100

6 m

There are 6 meters in 600 centimeters

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

C)

Step-by-step explanation:

The first thing you want to do is add x to both sides (add one positive x-tile):

2x+5=-x-1

+x       +x

2x+x+5=-x+x-1

combine like terms

3x+5=-1

Hello!

The first step you would want to do here is distribute the -3 to inside the parentheses. This can be done by multiplying -3 by what's inside the parentheses. This would make the original equation become:

y + 1 = -3(x - 5)

y + 1 = (-3 * x) - (5 * -3)

Then, complete the multiplication inside the parentheses to get:

y + 1 = -3x + 15

Now, subtract both sides by 1 to isolate the y on the left side.

y + 1 - 1 = -3x + 15 - 1

Therefore, your final answer is:

y = -3x + 14

(it can also be f(x) = -3x + 14, y and f(x) are the same thing in this case)

Hope this helped!

The equation in point - slope form can be written in the form of linear function as y = -3x + 14.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation in point - slope form as -

y + 1 = - 3(x - 5)

We can write the equation as the linear function as -

y + 1 = -3(x - 5)

y + 1 = -3x + 15

y = -3x + 15 - 1

y = -3x + 14

Therefore, the equation in point - slope form can be written in the form of linear function as y = -3x + 14.

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Probabilities are used to determine the chance of events

The value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75

The given parameters are:

[tex]\mathbf{P(A) = 0.50}[/tex]

[tex]\mathbf{P(B) = 0.40}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.15}[/tex]

The required probability is calculated using:

[tex]\mathbf{P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)}[/tex]

So, we have:

[tex]\mathbf{P(A\ or\ B) = 0.50 + 0.40 - 0.15}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.75}[/tex]

Hence, the value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75

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Answer:0.75

Step-by-step explanation:

did it

The measure of angle A in the right triangle with sides a=76.4 ft and b=39.3 ft can be found using the tangent function and is approximately 62 degrees when rounded to the nearest degree.

To find the measure of angle A in a right triangle with given sides a=76.4 ft and b=39.3 ft, we can use trigonometric functions. Since side a is opposite to angle A and side b is adjacent to angle A, we will use the tangent function, which is the ratio of the opposite side to the adjacent side. The formula to find the angle is angle A = tan∑(a/b).

Plugging in the values, we get:

angle A = tan∑(76.4/39.3)

By using a calculator, we find:

angle A = tan∑(1.9435) ≈ 62 degrees

Rounded to the nearest degree, the measure of angle A is approximately 62 degrees.

Answer:

16

* usually means multiplication

If you have an open circle there instead, please inform me.

Step-by-step explanation:

* usually means multiplication

If you had an open circle there, please let me know.

Find h(10) and then multiply that answer to itself.

h(10)=6-10=-4

So the answer is -4*-4=16

Answer:

= 48 ways to order a 2-course meal.

Step-by-step explanation:

Number of appetizer choices = 8

Number of main course choices = 6

Number of possible combinations of appetizer and main course

= 6 x 8

= 48 ways to order a 2-course meal.

The number of ways is an illustration of selections and arrangements

There are 48 ways to order a two-course meal

The given parameters are:

[tex]\mathbf{Appetizer = 8}[/tex]

[tex]\mathbf{Main = 6}[/tex]

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 6 ways of selecting the main courses.

So, the number of ways (n) is:

[tex]\mathbf{n = Appetizer \times Main}[/tex]

This gives

[tex]\mathbf{n = 8 \times 6}[/tex]

[tex]\mathbf{n = 48}[/tex]

Hence, there are 48 ways to order a two-course meal

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Answer:

The slope is -1

Step-by-step explanation:

(-5 - 3)/(2 - [-6]) = -8/8 = -1

Answer:

-32x

Step-by-step explanation:

Combine like terms (terms with the same amount of variables).

First, subtract 7x from 15x:

15x - 7x = 8x

Next, subtract 40x from 8x:

8x - 40x = -32x

-32x is your answer.

~

Answer:

B) 54 inches

Step-by-step explanation:

2*3 = 6

3*3 = 9

A= l*w

6*9=54

Answer:

b 54 inches^2

Step-by-step explanation:

2 inches by 3 inches  gets scaled by 3

it becomes 2*3   by 3*3

6 inches by 9 inches

The area is

A = l*w

A = 6*9

A = 54 inches^2

Answer:line a would have a y intercept of three and a slope of 1/2. Line b would have a y intercept of negative one and a slope of 3/2

Step-by-step explanation:line a would start at 3 on the y axis and move up one to the right two. Line b would start at -1 on The y axis and move up three to the right two

The system of equations y=1/2x + 3 and y= 3/2x -1 can be represented as two lines on a graph, the intersection of which indicates any common solution.

The system y=1/2x + 3 and y= 3/2x -1 represents two linear equations. These two equations can be graphed out onto the x and y-axis. The first equation y=1/2x + 3 will have a slope of 1/2 and y-intercept of 3, and the second equation y= 3/2x -1 will have a slope of 3/2 and y-intercept of -1.

To graph the first equation, start at the point (0,3) on the y-axis. From there, as the slope is 1/2, for every 2 units you move to the right on the x-axis, you will move 1 unit up on the y-axis.

To graph the second equation, start at the point (0,-1) on the y-axis. As the slope is 3/2, for every 2 units you move to the right on the x-axis, you will move 3 units up on the y-axis.

These lines intersect at their solution, if one exists, that is a common point on both lines.

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Answer:

(1.6, -1.6)

Step-by-step explanation:

We have the following system of equations:

[tex]y=1.5x - 4[/tex]

[tex]y=-x[/tex]

We have the following system of equations:

To solve the system substitute the second equation in the first one and solve for x

[tex]y=1.5x - 4[/tex]

[tex]-x=1.5x - 4[/tex]

[tex]4=2.5x [/tex]

[tex]2.5x =4[/tex]

[tex]x =\frac{4}{2.5}[/tex]

[tex]x = 1.6[/tex]

Now replace the value of x in one of the two equations and solve for y

[tex]y=-x[/tex]

[tex]y=-1.6[/tex]

The solution is:

(1.6, -1.6)

Answer:

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

Step-by-step explanation:

Options 2 and 3  are discarded because those are traslations to up and down.

Now, the point (0,0) is in the function [tex]f(x)=x^{2}[/tex] and after being traslated it needs to be (3,0). The option [tex]g(x)=(x+3)^{2}[/tex] doesn't satisfice that because the image of 3 is 36 and needs to be 0. On the other hand, [tex]g(x)=(x-3)^{2}[/tex] is the only option that contains the point (3,0) so it is the correct answer.

Answer..

D) g(x) = (x − 3)2

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

we have

[tex]10x^{2} y^{-2}[/tex]

we know that

[tex]10x^{2} y^{-2}=10\frac{x^{2}}{y^{2}}[/tex]

Substitute the value of x=-1 and y=-2 in the expression

[tex]10\frac{(-1)^{2}}{(-2)^{2}}[/tex]

[tex]10\frac{1}{4}[/tex]

[tex]\frac{10}{4}[/tex]

Simplify

[tex]\frac{5}{2}=2\frac{1}{2}[/tex]

Answer:

Pairs (0, 14) and (10, 0)

Answer:

Step-by-step explanation:

In this question we have to find the two points that can be joined to best draw the line in best fit.

From the given graph we can see if we join (0, 13) and (10, 0) then other ordered pairs given will be equal in numbers on both the sides of the line.

Therefore, by definition of these are the points which can be joined to draw a line which best fit the scatter plot.

Answer:

I believe its true

Answer:

Square root 9x + 7 + square root 2x = 7

Step-by-step explanation:

Square root 9x + 7 + square root 2x = 7, if i could put the square root symbol in I would.

Hope my answer has helped you and if not i'm sorry.