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3 years ago

Given f(x)=x^2 - 6x + 8 and g(x) = x - 2, solve f(x) = g(x) using a table of values.

1 answer:

5 0

Set the two functions equal to each other and solve for x

x^2-6x+8=x-2
-x. -8 -x-8
x^2-7x=-10
x(x-7)=-10
x=-10 x-7=-10
+7 +7
x=-10 & x=-3

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The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries

EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is 0.43.

Step-by-step explanation:

Given:

Probability of ordering fries is, $P(F)=0.32$

Probability of ordering cheese sandwich is, $P(S)=0.76$

Probability of ordering both sandwich and fries is, $P(F\cap S)=0.65$

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as $P(F\cup S)$ .

Now, using addition theorem of probability, we get:

$P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43$

Therefore, probability of ordering cheese sandwich or fries is 0.43.

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3 years ago

Two million three hundred and twenty thousand five hundred and two as a number

dem82 [27]

2,320,502 <=== Two million, three-hundred and twenty thousand five hundred and two

6 0

3 years ago

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A company that makes hair-care products had 7000 people try a new shampoo. Of the 7000 people, 40 had a mild allergic reaction

olasank [31]

Answer:

5.72

Step-by-step explanation:

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3 years ago

A. 5 B. 5.5 C. 6 D. 5[2

34kurt

Answer is D 5]2 that's wut I know

8 0

3 years ago

What is the factored form of x^3 -1

lianna [129]

Answer:

The factored form of x^3 -1 will be:

$x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)$

Step-by-step explanation:

Given the expression

$x^3-1$

Rewrite 1 as 1³

$=x^3-1^3$

$\mathrm{Apply\:Difference\:of\:Cubes\:Formula:\:}x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)$

$x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)$

$=\left(x-1\right)\left(x^2+x+1\right)$

Thus, the factored form of x^3 -1 will be:

$x^3-1^3=\left(x-1\right)\left(x^2+x+1\right)$

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3 years ago