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2 years ago

PLEASE HELP WITH THOROUGH EXPLENATION PLS .Which equation represents the line that passes through points (0, 6) and (2, 0)?

Mathematics

1 answer:

Ivanshal [37]2 years ago

3 0

Answer:

y=-3x+6

Step-by-step explanation:

(y2-y1)/(x2-x1)

(0-6) / (2-0)

0-6= -6

2-0= 2

-6/2= -3

slope is -3

so now we have y=-3x+b

in the coordinates (0,6) it means if x is 0 then y is 6. so the y-intercept is 6.

Therefore the equation would be y=-3x+6

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What is the factored form of the function f(x)=x^3+8x^2+5x−50?

Inga [223]

Answer:

the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function $f(x)=x^3+8x^2+5x-50$

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

$f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0$

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of $x^3+8x^2+5x-50$ by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: $x^2+10x+25$

The equation $x^2+10x+25$ can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0

4 years ago

HELP ASAP I WILL MARK YOU BRAINLYEST PLEASE HURRY!!!!

Sidana [21]

X = 180 - 60 - 80
x = 40

hope it helps

3 0

3 years ago

Read 2 more answers

Which statement is true about the graphs x = 2 and y=4?

AlladinOne [14]

The statement A is true

This is because the coordinate intersection would be, naturally, when x = 2 and y = 4

4 0

3 years ago

The temperature at Sunrise is 50F. Each hour, the temperature rises 5F. Write an equation that models the temperature Y, in degr

Lesechka [4]

Answer:

(5x) + 50 = y

Step-by-step explanation:

(5x) + 50=y

multiply the number of hours (x) that go by by 5.

then add 50.

5 0

3 years ago

A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries wil

klio [65]

Answer:

The probability that you test exactly 4 batteries is 0.0243.

Step-by-step explanation:

We are given that a new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found.

Suppose that 90% of all batteries have acceptable voltages.

Let the probability that batteries have acceptable voltages = P(A) = 0.90

So, the probability that batteries have unacceptable voltages = P(U) = 1 - P(A) = 1 - 0.90 = 0.10

Now, the probability that you test exactly 4 batteries is given by the three cases. Firstly, note that batteries will be tested until two acceptable ones have been found.

So, the cases are = P(AUUA) + P(UAUA) + P(UUAA)

This means that we have tested 4 batteries until we get two acceptable batteries.

So, required probability = (0.90 $\times$ 0.10 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.90 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.10 $\times$ 0.90 $\times$ 0.90)

= 0.0081 + 0.0081 + 0.0081 = <u>0.0243</u>

<u></u>

Hence, the probability that you test exactly 4 batteries is 0.0243.

3 0

3 years ago