Express the equation in the form Y= mx+b by solving for Y. -2x-y=10

A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models

Vlad1618 [11]

So the function is

$\\ \rm\rightarrowtail y=4.5x^2$

As we know

x²≥0
x≥0

hence domain is

$\\ \rm\rightarrowtail D_f\in R$

Least value of function is at x²=0 i.e 0

Hence range:-

$\\ \rm\rightarrowtail R_f\in [0,\infty)$

6 0

2 years ago

If log 2 = a and log 5<br> b then<br> log<br> 32/125

sveta [45]

Answer:

log(32/125)

=log32 - log125 [log(x/y)=log(x) - log(y)]

=log(2)^2 - log(5)^3

=2log2-3log5 [log(x)^p=p log x]

=2a-3b

4 0

3 years ago

Lesson 7.4 Identify Parts of Expressions Please help!!!!!!!

bulgar [2K]

1.)
The term (2+8) is the amount of fabric Ali bought. You know this because in the problem, it says that she buys “2 white pieces and 8 blue pieces”

2.)
The terms of the equation are
k and 2f

These are the terms because they are separated by the addition sign

3.) $36
You would first find rate per sand which. To find this, you would do:
9/2
This will give you
4.5. Now, you multiply that by 4. That gives you 36.

4.) The skateboard costs 150

How?
30 is 20% of the price. 20x5=100. So, to find the total amount, you would multiply 30 by 150.

5.) About 50 miles an hour.
You always put distance over time. If you do:
400/8
You get the average rate of 50

6.) 5n

How?
Well, there are five cents in every nickel. So, to find out how many pennies, you would multiply the amount of nickels by 5.

Have a good night :)

5 0

3 years ago

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{l}$ ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = $\frac{12}{cos70}$ ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0

3 years ago

The dot plots show rainfall total for several spring storms in highlands areas an lowlands areas what is the median rainfall for

tankabanditka [31]

*See attached picture showing the dot plots referred to

Answer:

16mm

Step-by-step Explanation:

Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.

Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.

From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.

Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.

8 0

3 years ago

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