Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

Answers

Answer 1
Answer:

Answer:

(1)/(2)

Solution,

Letthepointsbe AandB

A(-4,1)------>(X1,y1)

B(2,4)---------->(x2,y2)

Now,

Gradient:

(y2 - y1)/(x2 - x1)

(4 - 1)/(2 - ( - 4))

(3)/(2 + 4)

(3)/(6)

(1)/(2)

Hopethishelps...

Goodluck on your assignment...

Answer 2
Answer:

Answer:

1/2

Step-by-step explanation:


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Find the factored form of 18n+12

Answers

factored: 6(3n+2)

6 is the greatest common factor of 18n and 12 so you change it to distributive property by factoring it to 6(3n+2)
if you distribute 6(3n+2) you get 18n+12

How can i factor 27+12

Answers

= 27 + 12
3 is common in both of them so
= 3 (9 + 4)
The answer is 3(9+4).
Firstly look for the highest number which goes into both of them:

1 goes into both of them
3 goes into both of them and is the highest so we use this one.

Next write a 3 outside a set of brackets:
3(\ )

Then, the point of these brackets is that you times everything inside them by 3 so in order to get the numbers inside, you divide both by 3.

27 / 3 = 9
12 / 3 = 4

So now put these back into the brackets and you're done:

3(9+4)

Try to factorise 18+12 now to make sure you understand.

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.

Answers

Answer:

8x^3+1 is the answer.

Step-by-step explanation:

Here we know that

(a+b) (a^2-ab+b^2) = a^3+b^3

here we have a =2x and b =1

on plugging these values we get

a^3+b^3=(2x)^3+(1)^3\n8x^3 +1

The answer is 2x because the evasion is (2x)3+(1)3. 3 times 1 is 3. so it is (2x)3+3. you more the 3 next to the 2x over and now it id 2x+3-3.2x

Which statement about the polynomial function in this graph is true

Answers

Answer:

Option: A is the correct answer.

A.  The degree is odd and the leading coefficient is positive.

Step-by-step explanation:

Clearly from the graph of the polynomial function we see that both the ends of the graph are  in the opposite directions.

This means that the degree of the polynomial is odd.

( Since in even degree polynomial both the ends are in the same direction )

Also, the leading coefficient of the polynomial is positive.

Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:

when x → -∞     p(x) → -∞

and when x → ∞   p(x) → ∞

The degree is odd and the leading coefficient is positive.

PLEASE HELP ME?? 10 POINTS?! HELP ASAP.

Answers

Answer:

Last graph (D)

Step-by-step explanation:

f(x)=x(x-2)(x+4)

Find the zeros:

f(x)=0\iff x(x-2)(x+4)=0\iff x=0\ \vee\ x-2=0\ \vee\ x+4=0\n\n\boxed{x=0}\ \vee\ \boxed{x=-2}\ \vee\ \boxed{x=-4}

A graph with that x-intercepts is the last graph.

The second and third graphs are graphs of the quadratic function.

We have the function third degree (graph A and D).

Help me its due today

Answers

Answer:

$14.85

Step-by-step explanation:

Answer:

14.85

Step-by-step explanation:

15% of $99

15% = 0.15

"Of" is another way of saying multiply

So...

0.15 x 99

14.85

Victoria will pay $14.85 as a 15% tip of 99 dollars.