2 years ago

Plssssss ASAP I need the answer

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

5 0

Answer:

a to b: 8

b to c: -4

c to d: -27.59

Step-by-step explanation:

Average rate of change just means slope!

I used y2-y1/x2-x1

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15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).

damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0

3 years ago

What is ( √2 - √3 )² =

allochka39001 [22]

just use FOIL (First, Outer, Inner, Last).

( √2 - √3 ) X ( √2 - √3 )

First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3

and then add them together.

2 - √6 - √6 + 3
5 - 2(√6)

The answer is 5 - 2(√6) .

4 0

3 years ago

Read 2 more answers

How long did it take for Troy’s toy truck to accelerate at 1.2 m/s² from 0.40 to 0.80 meters per second? A. 33 s B. 0.33 s C. 3.

givi [52]

Answer:

i dont knnow

Step-by-step explanation:

5 0

2 years ago

The flagpole casts a 8 foot shadow as shown in the table.At the same time, the oak tree casts a 12 foot shadow.How tall is the o

just olya [345]

Do you have the height of the flagpole?

8 0

3 years ago

On a baseball field, the pitcher’s mound is 60.5 feet from home plate. During practice, a batter hits a ball 195 feet at an angl

Dominik [7]

The problem is modelled in the diagram below

We will use the cosine rule to find x

x² = 60.5² + 195² - [2×60.5×195×cos(32°)]
x² = 3660.25 + 38025 - [23595 × cos(32)]
x² = 41685.25 - 19683.50019
x² = 22001.74981
x = √22001.74981
x = 148.33 feet (rounded to 2 decimal place)

Note: the cosine rule is shown in the second diagram below

5 0

3 years ago