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1 year ago

Write an equation of the graph:

1 answer:

5 0

1. To translate to the left, add to x.
The equation is: y = |x + 2|

2. To translate down, add to y.
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)

Hope this helps!

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There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$

ch4aika [34]

Answer:

Step-by-step explanation:

Given:

A = (a, 14-a)

P = (3a, a^2 +13a -11)

the slope of AP is 7

a > 0

Find:

Solution:

The slope of AP is ...

m = (Py -Ay)/(Px -Ax)

7 = (a^2 +13a -11 -(14 -a))/(3a -a)

14a = a^2 +14a -25

25 = a^2

a = √25 = 5 . . . . . the positive solution

The value of 'a' is 5.

_____

Check

The point A is (a, 14-a) = (5, 9).

The point P is (3a, a^2 +13a -11) = (15, 79)

The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.

6 0

1 year ago

Michael invests USD 20 000 at 9.6% p.a. compounded monthly.

alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

$A=P(1+\dfrac{r}{n})^{n.t}$

Taking log both sides :

$A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years$

Hence, this is the required solution.

5 0

2 years ago

An international cake competition attracted 50 bakers from around the world. The graph below shows the relationship between the

stepladder [879]

C . Nonlinear Association

4 0

2 years ago

The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

GREYUIT [131]

Answer:

Option A. about 100.5ft²

Explanation:

Since the bases must not be painted, their areas are not included in the calculation.

The surface to paint, of each pillar, is equal to the lateral area of a cylinder with he dimensions given.

The formula for the laeral area of a cylinder is:

$Lateral\text{ }area=2\pi \times radius \times height$

Substitute including the conversion factor to convert inches to feet:

$Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2$

7 0

2 years ago

15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck

nydimaria [60]

Answer:

a) true

Step-by-step explanation:

There are 13 heart-suit cards in a 52 card deck.

Since cards are returned to the deck after each pick, all of the 15 events are independent and have the same likelihood of occurring. Therefore, this experiment follows a binomial distribution with the following properties:

Number of events (n) = 15

Probability of success (Picking a heart) = 13/52 = 1/4

Probability of failure (Not picking a heart) = 39/52 = 3/4

In conclusion, the statement provided is true.

7 0

1 year ago