Give the equation of the line which is perpendicular to y = 5x + 6 and goes through the point (- 15, 2)​

Answer:

See below

Step-by-step explanation:

Ravi will get:

50,000x(2/(2+3))=50,000x(2/5)=20,000

Rani will get:

50,000x(3/(2+3))=50,000x(3/5)=30,000

Answer:

0.65c + 0.95h

Step-by-step explanation:

For every 'c' pieces of candy it will cost 0.65

For every 'h' bag of chips it will cost 0.95.

Answer:

vertex = ( -6 , -3 )

focus = [tex](-\frac{97}{16} ,-3)[/tex]

axis of symmetry = y = -3

directrix = x = [tex]-\frac{95}{16}[/tex]

GRAPH :

Answer:

= -2/x^3

Step-by-step explanation:

Possible derivation:

d/dx(d/dx((x^2 + 2 x - 1)/x))

Distribute 1/x through x^2 + 2 x - 1:

= d/dx((d/dx(2 - 1/x + x)))

Differentiate the sum term by term and factor out constants:

= d/dx((d/dx(2) - d/dx(1/x) + d/dx(x)))

The derivative of 2 is zero:

= d/dx(0 - d/dx(1/x) + d/dx(x))

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.

d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):

= d/dx(0 - -1/x^2 + d/dx(x))

The derivative of x is 1:

= d/dx(0 - -1/x^2 + 1)

Differentiate the sum term by term:

= d/dx(1) + d/dx(1/x^2)

The derivative of 1 is zero:

= d/dx(1/x^2) + 0

Simplify the expression:

= d/dx(1/x^2)

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -2.

d/dx(1/x^2) = d/dx(x^(-2)) = -2 x^(-3):

Answer:  = -2/x^3

Answer:

182 cubic feet

Step-by-step explanation:

(7 x 4)/2 to get the area of triangle

than times 13 to get the volume

Answer:

The graph of the new function would be steeper than the first one.

Step-by-step explanation:

y= mx +c, where m is the gradient and c is the y-intercept. Note that in this form, the y term is the only term on the left-hand side of the equation and its coefficient is 1.

Since the two equations are in the slope-intercept form, we can easily identify their gradients from the coefficient of x.

The gradient of the first graph is 3, while that of the new function is 4.

The gradient of a graph is how steep it is, or the change of y with respect to x. Also when we are given a linear graph without its equation, we can find its gradient using the formula:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

This formula can also be written as

[tex]\boxed{ slope = \frac{rise }{run} }[/tex]

These formulas imply that the gradient is the looking at how much the y- coordinate changes with respect to x. The term 'gradient' and 'slope' have the same meaning and is used interchangeably here.

Given that the new function has a greater slope, it has a greater change in y with respect to x than the first graph. Thus, we see a steeper graph when y= 3x +1 is changed to y= 4x +1.

The y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.

In the attached graph, the first graph is represented by the red line while the graph of the new function is in blue.

Answer:

$366,510

Step-by-step explanation:

Answer:

$366,510

explanation: I got 100

Answer:

Rahim is 14 and his father is 42.

Step-by-step explanation:

Let F be Rahim's father's age and R is Rahim's age.

We learn that:

F = 3R  [Rahim's father's age is 3 times as old as him]

and

F + R = 56  [their sum is 56]

----

We have 2 equations and two unknowns, so we should be able to find the answers.

Rearrange the second equation to:  F = 56 - R

The use that definition of F in the first equation:

F = 3R

(56-R) = 3R

Then we can find R:

56-R = 3R

4R = 56

R = 14

Since R=14 and F + R = 56,

F + R = 56

F + 14 = 56

F = 42

Check

Does F=3R?

42 = 3(14)?  YES

Does F + R = 56?

42 + 14 = 56?  YES

Rahim is 14 and his father is 42.

Answer: A, C, D

Step-by-step explanation:

1) AD=BD must be true because the angle bisector drawn from the vertex angle of an isosceles triangle is the perpendicular bisector of the base.

2) AC=CD does not need to be true because angles ADC and CAD do not need to be congruent.

3) This must be true by the definition of an angle bisector.

4) This must be true because angles CDA and CDB are both right angles.

5) This does not need to be true because triangle ADC does not need to be isosceles.

Answer:

Step-by-step explanation:

Because the rest of the birds will fly away from the fence.

Answer:

37.68

Step-by-step explanation:

ayo

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Answer:

The answer is 37.68

Step-by-step explanation:

I took the test! :)

Answer:

8950

Step-by-step explanation:

Answer:

The top graph represents y = x-6.

Step-by-step explanation:

The graph is a translation 6 units down and the slope is 1.

Step-by-step explanation:

I hope this helps.........

Answer:

(-3,-6)

Step-by-step explanation:

Answer:

She completed 75% of the trip

Step-by-step explanation:

375 miles of 500 miles= 375/500

375/500=0.75

0.75 x 100=75%

Answer:

-40

Step-by-step explanation:

Given function:  f(x) = 2x - 2

f(5) means: substitute x = 5 into the function:

⇒ f(5) = 2(5) - 2

⇒ f(5) = 10 - 2

⇒ f(5) = 8

Given function:  g(x) = -2x + 1

g(3) means: substitute x = 3 into the function:

⇒ g(3) = -2(3) + 1

⇒ g(3) = -6 + 1

⇒ g(3) = -5

Therefore,

f(5) · g(3) = 8 · -5 = -40

f(5):-

[tex]\\ \rm\rightarrowtail 2(5)-2[/tex]

[tex]\\ \rm\rightarrowtail 10-2[/tex]

[tex]\\ \rm\rightarrowtail 8[/tex]

g(3)

[tex]\\ \rm\rightarrowtail -2(3)+1[/tex]

[tex]\\ \rm\rightarrowtail -6+1[/tex]

[tex]\\ \rm\rightarrowtail -5[/tex]

So

Answer:26.44%

Step-by-step explanation:

Answer:

It will take 12.5 days for Alejandra to catch up with Javier and they both will have travelled 800m

Step-by-step explanation:

Alejandra "catching up" implies that they will both have travelled the same distance

Therefore,

Let y represent the distance when Alejandra will catch up with Javier

Since both equations have the same y-value (distance):

24x+500 = 12x+650

24x - 12x = 650 - 500

12x = 150

x = 12.5

It will take 12.5 days for Alejandra to catch up with Javier

Next, put the amount of time into any of the 2 equations to find what the distance is:

24x + 500 = y

24 (12.5) + 500 = y

y = 800

800m is the distance travelled when Alejandra catches up with Javier

Answer:

[tex]\frac{77}{2}[/tex] or 38 [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it occupies

The complete statement is: First, break the irregular polygon into shapes whose area you can find using familiar formulas. The sum of these areas is the area of the polygon.

An irregular polygon contains several familiar shapes.

So, the first thing to do is to break the polygon into smaller shapes

Then calculate the areas of these shapes

Lastly, add the areas of the shapes to get the area of the irregular polygon

Hence, the area of an irregular polygon is the sum of the areas of the shapes that make up the irregular polygon

Read more about areas at:

https://brainly.com/question/24487155

Answer:

18.99

Step-by-step explanation:

I just know the answer sorry. Hope this helps you a little.

Answer:

a. n < k + 1

Step-by-step explanation:

Multiple linear regression model is used for analyzing the linear relationship between the independent variables and dependent variable. It is used when there is the need to predict the relationship of a variable based on the values of two or more other variables. These variables could be nominal, ordinal, or interval/ratio level variables.

Some assumptions of multiple linear regression analysis are:

i.  There must be a linear relationship between the outcome variable and the independent variables.

ii. The residuals are normally distributed.

iii. That the independent variables are not highly correlated with each other.

The assumption that there are no exact linear relationships among the independent variables in a multiple linear regression model fails if n < k + 1.

Answer:

B

Step-by-step explanation:

took the assignment

The ellipse is obtained by slicing the cone at an angle. Then the correct option is B.

A shape made up of a surface and a round cone intersecting. A conic section is sometimes a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the surface with regard to the conical.

The ellipse is obtained by slicing the cone at an angle that passes through the surface of the cone.

Then the correct option is B.

More about the conic section link is given below.

https://brainly.com/question/22105866

#SPJ2

Answer:

Hello, My name is Anastasiya

184.32 cubic centimeter is the  volume of the can.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that A tuna can is a right circular cylinder with a radius of 4.25 centimeters.

Height of the can is 3.25 centimeters

The volume of the cylinder = πr²h

We have to substitute the values of r and h

volume of the cylinder = 3.14×4.25²×3.25

= 184.32 cubic centimeter

Hence, 184.32 cubic centimeter is the  volume of the can.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Answer: No it is not still true

Step-by-step explanation: Remote is short for remotely which means combine of shapes so with out that word it would be wrong