MATHEMATICS HIGH SCHOOL

Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?

Answers

Answer 1

Answer:

Answer:

days ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

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If there is 1.8g of fat in 100ml,how many will be in 250ml

Answers

from 100ml to 250ml is an increase by a factor of 2.5. since the amount of fat is directly proportional to the total amount, the amount of fat should increase by a factor of 2.5 as well. therefore:
(1.8)(2.5) = 4.5

let me know if you have any questions!!!

Find the exponential function that satisfies the given conditions: Initial value = 31, increasing at a rate of 10% per year f(t) = 10 ⋅ 1.1t
f(t) = 31 ⋅ 1.1t
f(t) = 31 ⋅ 0.1t
f(t) = 31 ⋅ 10t

Answers

Option 2: $f(t) = 31.(1.1)^t$ is the correct answer.

Step-by-step explanation:

Let t be the independent variable time and f(t) be the function that will be used to represent the exponential growth

The general form of an exponential function is given by:

$y = a(1+r)^t$

Here

a is the initial value of the function while r is the growth rate

and t is the number of years

Given

Initial value = 31

Growth rate = 10% per year

We have to convert the growth rate in decimal

So,

$r = (10)/(100) = 0.1$

Putting the values in the general form

$f(t) = 31 . (1+0.1)^t\nf(t) = 31 . (1.1)^t$

Hence,

Option 2: $f(t) = 31.(1.1)^t$ is the correct answer.

Keywords: Functions, exponential functions

Learn more about functions at:

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What is the area of this regular polygon?A.311.15 m2

B.
622.3 m2

C.
3034.5 m2

D.
6069 m2

Answers

the right answer is C. what you have been given is base length and height for the seven triangles included in this geometric shape as you can see there are seven sides, and thus seven triangles in the entire heptagon. the formula will be: (base(height)/2)(7)= the area of the heptAGON. Area=the area of each of the triangles within the heptagon. since they all have the same dimensions, your equation will be (30*28.9/2)*7

In this shape you can form a triangle with a height of 30 and a base of 28.9
Area for this triangle would be A=(1/2)(28.9)(30) which is 433.5

Since this shape has 7 sides you can make 7 of these same triangles so you will have 7 triangles with the same area of 433.5

so take 433.5*7 to get 3034.5 which is answer "C"

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answers

Answer:

y= 3/4x-4

Step-by-step explanation:

y=mx+b to find the equation

Is it ever possible for the domain and range in a function to have different numbers of entries (for example, 3 domain entries to 5 range entries, or 2 range entries to 7 domain entries)? What happens when this is the case?

Answers

No , & More Than Likely If It Is To Happen It's Because The Domain Entry Repeated A Number Mulitiple Times

Final answer:

The number of entries in the domain and range of a function can be different. Some inputs in the domain may have the same output in the range, or some outputs in the range may have no corresponding inputs in the domain.

Explanation:

In a function, the number of entries in the domain and range can be different. This happens when there are multiple inputs that map to the same output or when there are outputs with no corresponding inputs.

For example, consider the function f(x) = $x^2$ . The domain can be any real number, but the range is only non-negative real numbers (including zero). So, there are more entries in the domain than in the range.

When this is the case, it means that some inputs in the domain have the same output in the range, or some outputs in the range have no corresponding inputs in the domain.

Learn more about Domain and Range here:

brainly.com/question/36903938

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which of the following linear equations when graphed on a coordinate grid has the steepest slope? a. y=1/4x-7, b. y=7/3x-2, c. y=9x+2/3 d. y=6x=5/9

Answers

C. 9x is keyword (m=slope which is 9)

A. has slope of 1/4

B. has slope of 7/3

D. has slope of 6

Therefore, C. has the highest slope.

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