Use the y- and x-intercepts to write the equation of the line. x- intercept (-6,0), y - intercept (0,-8)

Answer:

\(y=-\frac{3}{2}\)

Step-by-step explanation:

\(\text{y = kx where k is a constant.}\)

\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)

Answer:

C. 60

Step-by-step explanation:

They are alternate interior angles

Answer: value of x is 60 degrees

Step-by-step explanation:

alternative interior angles are equal.

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

​for such more question on height

https://brainly.com/question/23377525

#SPJ8

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

it would be 2.8 / 8 cause if you convert 168 minutes an hour to 2.8 so yeah

Answer:

i am not sure but i think its 2/75/100

Step-by-step explanation:

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

To know more about unitary method visit:

brainly.com/question/28276953

#SPJ1

It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.

Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.

Find out more about the Federal Trade Commission

at brainly.com/question/31315566

#SPJ4

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Answer:

8

Step-by-step explanation:

ok so this is just the first one but i think you use a variable for what you are trying to find out, and well call this x and then u subtract the variable from the product of the rate and the amount, and once you have it, you multiply it but its own conjugate so then u use the binomial that you get to create a function, and you can graph it if you want, and u can use the apothem (the formula involves cos, so you might need a calculator) of the polygon created on your graph to find the domain, which you will then get the 4th root of, which is your answer. anyway, i believe this is what it is, but i may be wrong. hope this helps!

Answer:

r  =  42,32 ft

h  = 84.8 ft

Step-by-step explanation:

We are going to apply Lagrange multipliers method

The greatest space   means  maximum volume

V(cage)  =  Vol. of the cylinder + volume of the hemisphere

V(cylinder )  = π*r²*h

V(sphere) = (4/3)*π*r²   ⇒  V(hemisphere) = (2/3)*π*r³

V(cage) =  π*r²*h  +  (2/3)*π*r³

Associated costs:

Costs =  cost of cylinder  + cost of hemisphere

Area of the cylinder  =  Lateral area   ( no bottom no top)

Area of the cylinder  =  2*π*r*h

Area of hemisphere  =  2*π*r²

A(r,h)  =   2*π*r*h  +  2*π*r²

C(r , h ) =  10* 2*π*r*h  + 20* 2*π*r²    C(r , h ) =  20*π*r*h  + 40*π*r²

4500 = 20*π*r*h  + 40*π*r²

20*π*r*h  + 40*π*r² -  4500  =  0         20*π*r*h  + 40*π*r² -  4500 = g(r,h)

V(cage) =  π*r²*h  +  (2/3)*π*r³

δV/δr  =  2*r*π*h  + 2*π*r²                       δg(r,h)/δr  =   20*π*h + 80*π*r

δV/δh  =  π*r²                                            δg(r,h)/δh =   20*π*r

δV/δr  = λ*  δg(r,h)/δr

2*r*π*h  + 2*π*r² =  λ* 20*π*h + 80*π*r

2*r*π* ( h + r )  =  20*π*  λ* ( h + 4*r)

r* ( h + r )  = 10*λ* ( h + 4*r)                        (1)

δV/δh  = λ*  δg(r,h)/δh

π*r²  =  20*λ*π*r        r  =  20*λ                  (2)

20*π*r*h  + 40*π*r² -  4500 = 0                 (3)

We need to sole the system of equation 1 ; 2 ; 3

r = 20*λ   plugging that value in equation  1

20*λ ( h  +   20*λ  ) =  10*λ* ( h + 4*r)  

2( h  +  20*λ  ) =   ( h + 4*20*λ)  

2*h  + 40*λ  =  h + 80*λ

h  = 40*λ

20*π*r*h  + 40*π*r² -  4500 = 0  

20*π*20*λ*40*λ  + 40*π+400λ²  - 4500  = 0

16000*π*λ²  +  16000*π*λ²  = 4500

32000*π*λ² = 4500

320*π*λ² = 4500

λ² = 4500/1004,8               λ² = 4.48          λ  = 2.12

Then

r  =  20* λ         r  =  42,32 ft

h  = 40* λ         h  = 84.8 ft

Answer:

x = 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

7 divided by 1/4

then you get you answer

=28

hoped this helped, have a good day! c:

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!

we know that

Looking at the table

interval 5 to 6 --------> average rate of change is -11

the difference between consecutive intervals is -2

so

6 to 7 ---------> -11-2=-13

7 to 8 ---------> -13-2=-15

8 to 9 ------> -15-2=-17

9 to 10 -----> -17-2=-19

therefore

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

Learn more on Simplifying an expression here: https://brainly.com/question/723406

SPJ2

Answer:

True

\(\textrm{Range of arcsin(x) is } \left[-\dfrac{\pi }{2},\:\dfrac{\pi }{2}\right]\)

Step-by-step explanation:

The maximum value of sin(x) is 1 and occurs when x = \(\dfrac{\pi}{2}\)

The minimum value of sin(x) is - 1 and occurs when x = \(-\dfrac{\pi}{2}\)

If we taken the inverse of sin(x) which is arcsin(x) then the range should be the x value range for sin(x) i.e. \(\left[-\dfrac{\pi }{2},\:\dfrac{\pi }{2}\right]\)

Answer:

The order, least to greatest, is:

Lemon, Cherry, Grape.

Step-by-step explanation:

Adding all these values up, we get to 1. This means that the smallest values will be the least likely and the highest values will be the most likely.

With the numbers 0.2, 0.16, and 0.64, we can sort these by value.

0.16 is the smallest.

0.2 is the next biggest

and 0.64 is the largest number.

So, the order is Lemon, Cherry, Grape.

Hope this helped!

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

Learn more about coordinates at:

https://brainly.com/question/17206319

#SPJ1

The f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

An exponential graph is a type of graph that represents an exponential function. An exponential function is a mathematical function in which a constant base is raised to a variable exponent. The general form of an exponential function is: y = a * bˣ.

A graph is a visual representation of data or information that allows us to quickly and easily understand patterns, trends, and relationships. Graphs are used to present information in a way that is easy to interpret and understand.

In the given question,

The function that represents the exponential graph given that (0, 1) and (4, 81/16 ) are points that lie on the graph is:

f(x) = (3/2)ˣ

To verify that this is the correct function, we can substitute x=0 and x=4 into the function to see if the corresponding y-values match the given points on the graph.

When x=0, f(0) = (3/2)⁰ = 1, which matches the point (0, 1).

When x=4, f(4) = (3/2)⁴ = 81/16, which matches the point (4, 81/16).

Therefore, f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

To know more about exponential graph, visit:

https://brainly.com/question/9834848

#SPJ1

The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

Learn more about outcome here:

https://brainly.com/question/32037007

#SPJ1

Answer:

1600 Rupees

Step-by-step explanation:

20 divided by 100 times 8000 will give you 1600 so the carpet costed him 1600

In ∆ABC,

Angle A = 60°

Angle B = 45°

The measurement of Angle C.

We know that the sum of all the interior angles of a triangle is 180°.

Angle A + Angle B + Angle C = 180°

By putting the respected values, we get

60° + 45° + Angle C = 180°

or, 105° + Angle C = 180°

By transposition method, we get

Angle C = 180° - 105°

Angle C = 75°

The measurement of Angle C is 75°

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ1

Answer:

Chris has $ 72, Michael has $ 24, and Nicole has $ 17.

Step-by-step explanation:

Given that Nicole, Chris and Michael have a total of $ 113 in their wallets, and Nicole has $ 7 less than Michael, while Chris has 3 times what Michael has, to determine how much each one has, the following calculation must be performed:

Nicole: M - 7

Michael: M

Chris: 3M

3M + M + M -7 = 113

5M - 7 = 113

5M = 113 + 7

5M = 120

M = 120/5

M = 24

Michael: 24

Nicole: 24 - 7 = 17

Chris: 24 x 3 = 72

So Chris has $ 72, Michael has $ 24, and Nicole has $ 17.

Answer:

Yes.

Step-by-step explanation:

Divide 430/17 and you get around 25, signifying the correct answer is right in the middle of Hailey's estimation.

Answer:

m=8-4/6-2

m=1

y-4=1(x-2)

y=x+2

Answer:

(x + 3)(x - 15)

Step-by-step explanation:

To factor the expression x^2 - 12x - 45, we need to find two numbers that multiply to -45 and add to -12. Let's use the method of decomposition to find these two numbers:

x^2 - 12x - 45

We need to find two numbers that multiply to -45 and add to -12. Let's try -15 and 3:

x^2 - 12x - 45 = x^2 - 15x + 3x - 45

Now we can group the first two terms and the last two terms:

x^2 - 15x + 3x - 45 = x(x - 15) + 3(x - 15)

We can see that both terms have a common factor of (x - 15), so we can factor this out:

x(x - 15) + 3(x - 15) = (x + 3)(x - 15)

Therefore, the expression x^2 - 12x - 45 can be factored as (x + 3)(x - 15).

Refer to the attachment ^-^

Hope Helpful ~

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

For more questions on Rational .

https://brainly.com/question/30339525

#SPJ8

Answer:

84.78

Step-by-step explanation:

The full area of the circle without the cutout is 113.04

The cutout sector is 28.26

So that would make our final answer 84.78

by subtracting 28.26(cutout) from 113.04(full circle)

(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360

The equation of the straight line joining A to B is y = (1/2)x + 3, the equation of the straight line joining B to C is y = (1/2)x + 3, and A, B, and C are collinear.

What are collinear points?

Collinear points are three or more points that lie on the same straight line. In other words, if three points A, B, and C are collinear, then there exists a straight line that passes through all three points. To determine if three or more points are collinear, we can find the slope of the line that passes through any two of the points. If the slope is the same for all possible pairs of points, then the points are collinear. Otherwise, they are not collinear.

a) To find the equation of the straight line joining A to B, we can use the slope-intercept form of the equation of a line:

y = mx + b

where m is the slope of the line, and b is the y-intercept.

The slope of the line passing through A and B is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (-8, -1) and (x₂, y₂) = (-4, 1).

m = (1 - (-1)) / (-4 - (-8)) = 2/4 = 1/2

To find the y-intercept, we can use the point-slope form of the equation of a line:

y - y₁ = m(x - x₁)

where (x₁, y₁) = (-8, -1) and m = 1/2.

y - (-1) = (1/2)(x - (-8))

y + 1 = (1/2)(x + 8)

y = (1/2)x + 3

Therefore, the equation of the straight line joining A to B is y = (1/2)x + 3.

b) To find the equation of the straight line joining B to C, we can use the same method:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (-4, 1) and (x₂, y₂) = (12, 9).

m = (9 - 1) / (12 - (-4)) = 8/16 = 1/2

Using point-slope form with the point (x₁, y₁) = (-4, 1) and slope m = 1/2:

y - 1 = (1/2)(x - (-4))

y - 1 = (1/2)x + 2

y = (1/2)x + 3

Therefore, the equation of the straight line joining B to C is y = (1/2)x + 3.

c)  From the equations of the lines joining A to B and B to C, we can see that both lines have the same slope of 1/2. This implies that the three points A, B, and C are collinear, i.e., they lie on the same straight line.

To know more about collinear points visit:

brainly.com/question/24244967

#SPJ1