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3 years ago

28 points and will mark you brainliest if you answer allll

Mathematics

1 answer:

devlian [24]3 years ago

4 0

Explanation:

M is the slope of the equation, basically how much the line goes up or down each unit. To calculate the slope, we divide the rise over the run or

$\frac{y1-y2}{x1-x2}$

B is the y-intercept or when the line crosses the y-axis.

1. We can see the line moves 1 unit up every 3 units right. The line crosses the y-axis at (0,-4)

m = 1/3

b = -4

2. We can see the line goes 3 units down every 2 units right. The line crosses the y-axis at (0,4)

m = -3/2

b = 4

3. We can see the line goes 1 unit down every 4 units right. The line crosses the y-axis at (0,4)

m = -1/4

b = 4

4. We can see the line goes 1 unit down every 4 units right. The line crosses the y-axis at (0,2)

m = -1/4

b = 2

5. We can see the line goes 1 unit down every 1 unit right. The line crosses the y-axis at (0,1)

m = 1

b = 1

You might be interested in

you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are n

Juli2301 [7.4K]

<h3>Answer: n = 9</h3>

========================================================

Explanation:

Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get

30+n = 30+0 = 30
n/3 = 0/3 = 0
sqrt(n+16) = sqrt(0+16) = 4

The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.

So we can't use n = 0.

Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.

If n = 9, then,

30+n = 30+9 = 39
n/3 = 9/3 = 3
sqrt(n+16) = sqrt(9+16) = 5

We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.

7 0

3 years ago

What is the solution of the inequality -6x-17greater or equal to 8x+25

Masja [62]

-6x -17 ≥ 8x + 25

Subtract 8x from each side:

-14x -17 ≥ 25

Add 17 to each side:

-14x ≥ 42

Divide each side by 14 :

-x ≥ 3

Change the signs. (Multiply each side by -1.)
That's when you have to flip the inequality symbol.

x ≤ -3

6 0

3 years ago

Read 2 more answers

Step by Step explanation of Vertex Form of f(x)=x^2-6x-40

NISA [10]

A quadratic in vertex form reads as

(x - a)² + b

where (a, b) is the vertex.

To get the given quadratic in this form, complete the square:

x² - 6x - 40 = x² - 6x + 9 - 49 = (x - 3)² - 49

Or, work backwards by expanding the vertex form and solving for a and b :

(x - a)² + b = x² - 2ax + a² + b

So if

x² - 6x - 40 = x² - 2ax + a² + b,

then

-2a = -6 → a = 3

a² + b = -40 → b = -49

6 0

3 years ago

Whichwhich would you measure using inches? A. length of a pen B. height of a flagpole C. length of a cross-country race course D

Taya2010 [7]

Answer:

The length of a pen.

Step-by-step explanation:

A length of a pen is around three inches and is reasonable but all of the others are way too big and can be measured in feet or miles.

3 0

3 years ago

Please help :)))) ( attachment )

Anastaziya [24]

Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2

This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that

g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2

So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).

Here's proof of both claims

-----------------------------------------

Proof of Claim 1:

f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6

-----------------------------------------

Proof of Claim 2:

h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2

5 0

4 years ago