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2 years ago

What is the y-intercept for all graphs of the form y=ab^x (where b is not 0)

1 answer:

4 0

The y-intercept is the value of y when x=0. Anything raised to the power of zero equals one so:

y=ab^0 is equal to:

y=a

So the y-intercept will be a for any equation of the form y=ab^x, or if you prefer it will always be the point (0,a)

You might be interested in

Domino’s Pizza charges $5.99 per medium pizza and a $4 delivery fee. Which function best represents the total price depending on

scZoUnD [109]

Answer:

It should be 5.99x+4, where x is the number of pizzas ordered.

8 0

2 years ago

a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e

Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer

5 0

2 years ago

On Rocko's 6th birthday, he was 3 feet, 10 inches. On Rocko's 11th birthday, he was 4 feet, 8 inches, How many inches per year w

enyata [817]

2 inches per year bc it’s over 5 years and he grew 10 inches and 10/5 is 2

5 0

2 years ago

Someone help me ASAP 10 points each

tia_tia [17]

Answer:

Step-by-step explanation:

4 0

1 year ago

Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups

natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

find the amount of lemonade that's left expressed in cups

5 glasses * 2 cups = 10 cups

16 cups - 10 cups = 6 cups.

There are 6 cups of lemonade left.

Step 2

find the amount of lemonade that's left expressed in quarts:

4 cups = 1 quart.

(6 cups divided by 4 cups will equal the quarts.)

6/4=1.5

6 cups = 1.5 quarts.

There are 1.5 quarts of lemonade left.

Step 3

find the amount of lemonade that's left expressed in gallons

4 quarts = 1 gallon.

(1.5 quarts divided by 4 quarts will equal the gallon)

1.5/4=0.375

1.5 quarts = 0.375 gallon.

There is 0.375 gallon left of lemonade.

6 0

2 years ago