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3 years ago

7

How can you determine if a function is linear or nonlinear from the graph of the function???

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the </span>graph<span> of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1.</span>

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You can buy 5 cans for green beans at the village market for 3.70. You can buy 10 of the same cans of beans at sams club for 4.1

il63 [147K]

the rate for 5 cans for $3.70 is 0.74

the rate for 10 cans for $4.10 is 0.41

so the better buy is 10 cans for $4.10 at sams

4 0

3 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

L has $200. Ty has 30% more than Lu and twice as much as Ali. How much money do they have altogether? (PLEASE SHOW STEPS!)

saul85 [17]

30% of 200=60 200+60= 260
Ty has £260
£260 x 2= £520

200+260+520= £980

Answer £980

I hope this is right :D

5 0

3 years ago

If the height is 12 inches and the diameter is 16 inches, what is the volume?

tigry1 [53]

Answer:

V = πr²h

V = π(8)^2×12 r = ½diameter= 16/2=8

V = 64π×12

V= 64 × 3.14 ×12

V = 2,411.52 cubic inches.

Hope it helps!

4 0

2 years ago

If you have 3 pieces of bread and you feed your black slave 1 bread for all 5 of them so they can be alive how many pieces of br

kati45 [8]

Answer:

,,

Step-by-step explanation:

,,

3 0

3 years ago