The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.

An exponential function with a base of 1/2 has been vertically compressed by a factor of 3/4 and reflected in the x-axis. It's a

joja [24]

We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.

7 0

3 years ago

Picture above ^^^^^^^

Nitella [24]

Answer:

Step-by-step explanation:

Since this is a test/hw, I'll give a hint.

This problem at first can seem a bit difficult with q's and power's everywhere.

But let's take a step backward. A power is when your mutiplying something by itself again and again.

Ex: 3^3=3 times 3 times 3

But what if we had something liiiike this:

(3^3)2

In this case its now

(3 times 3 times 3)^2, so its "techinicaly" (27)^2. And you would a fairly large number, which I'm to lazy to solve. But that's not the point.

We've seen what a power is deconstructed, and what a power is. Because my explantion probably confused you more than it helped, I'll give an example.

(2^2)^2=(2 times 2)^2=(4^2=16=2^4

However, there is a shorter way to solve it.

(2^2)^2=2^(2 times 2)=2^4

Hope this helps.

8 0

2 years ago

Please assist me with these problems using the 45-45-90 relationship triangles

TiliK225 [7]

Answer:

see below

Step-by-step explanation:

side opposite 90 angle = x $\sqrt{2}$

sides opposite 45 angle = x

the multiplication and division by $\sqrt{2}$ should be self explanatory

1. x = 5, y = 5

2. v = 10, u = 10

3. x = $\sqrt{10}$ , y = $\sqrt{5}$

4. m = 5, n = $\frac{5\sqrt{2} }{2}$

5. a = $\frac{3\sqrt{2} }{2}$ , b = $\frac{3\sqrt{2} }{2}$

6. a = $\frac{3\sqrt{2} }{2}$ , b = $\frac{3\sqrt{2} }{2}$

5 0

3 years ago

Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd functi

Alexus [3.1K]

The type of transformation that preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x) is vertical translation.

<h3>What is vertical translation?</h3>

Vertical translation of a graph is done by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.

The vertical translation is the movement of the curve along the y-axis by a certain number of units without altering the function's shape or domain.

The function's form is preserved in the case of vertical translation.

Learn more about Vertical Translation here:

brainly.com/question/4397823

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7 0

1 year ago

Part A

labwork [276]

An algebraic expression is one that consists of both number(s) and an alphabet(s). The required answers are:

i. Distance from Chenoa's house to the coffee shop = 6.0 miles

ii. Distance from coffee shop to Chenoa's school = 1.5 miles

iii. Distance from Chenoa's house to her school = 7.5 miles

An algebraic expression is one that consists of both number(s) and an alphabet(s). The alphabet is referred to as the unknown whose value has to be determined.

In the given question, let the distance from the coffee shop to Chenoa's school be represented by y.

So that;

The distance from Chenoa's house to the coffee shop = (2y + 3) miles.

The total distance from Chenoa's house to her school = 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = $\frac{3}{2}$

= 1.5

The distance from the coffee shop to Chenoa's school is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

= 6

The distance from Chenoa's house to the coffee shop is 6 miles.

And,

5y = 5(1.5)

= 7.5

The total distance from Chenoa's house to her school is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

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5 0

2 years ago