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3 years ago

Which set of ordered pairs contains only points that are on the graph of the function y=12-3×?

Mathematics

1 answer:

irina [24]3 years ago

8 0

Y= 12 -3x so if you take x as 0 y=12 x=1 y=9 x=2 y=6

(0, 12) (1,9), (2,6) are on the graph

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Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)>0

marin [14]

The answer is x<2
-2x^5 + 14x^4 - 36x^3 + 52x^2 - 64x + 48=0

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3 years ago

Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

Can someone help me with this problem. I don’t know how to do volume.

densk [106]

Answer:

7.5in³

Step-by-step explanation:

1x5x1.5=7.5

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3 years ago

3.) You just deposited $3,000 into a savings account with 3% annual interest. How much will you have in total after 2 years?

Korvikt [17]

Answer:2,820

Step-by-step explanation:

multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000

6 0

3 years ago

What is the rule of a function of the form f(t)= a sin (bt+c) +d whose graph appears to be identical to the given graph?

olasank [31]

Answer:

Option A.

f(x) = -4*sin((1/3)*t + (π/6)) + 3

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or plotting tool.

The function is

f(t) = a*sin (b*t +c) + d

Please, see attached picture below.

By looking at the picture with all the possible cases, we can tell that the correct option is A.

The function has a period of T = 6π

Max . Amplitude = 7

Min . Amplitude = -1

7 0

2 years ago

Read 2 more answers