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2 years ago

If f(x) = -22 - 2x -1, then f(x+1) = -x? - 2x - 4?

Mathematics

1 answer:

Helga [31]2 years ago

6 0

Answer:

f(x+1) = -21 -2x-4

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the function f(x) = -22-2x-1

f(x+1) = -22 -2( x+1) -1

= -22 -2x-2-1

= -2x -21 -4

f(x+1) = -21 -2x-4

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago

What is the slope of this

Sveta_85 [38]

Answer:

Step-by-step explanation:

x = (0.5,0)

y= (0,-3)

slope = 2

5 0

2 years ago

Which expression is equivalent to (7x+9y)2

Arada [10]

Answer:

$49x^2+126xy+81y^2$

Step-by-step explanation:

Use the square of a binomial theorem

$(a+b)^2$ = $a^2+2ab+b^2$

Now expand the given equation:

$(7x+9y)^2=49x^2+126xy+81y^2$

Hope this helps :)

Have a great day!

6 0

2 years ago

The managers of franks snack shack buys hamburgers in packages of 30 and hamburger buns in packages of 24. He cannot buy part of

Andreas93 [3]

Answer:

He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24

Step-by-step explanation:

First we have to calculate the least common multiple (LCM) of 24 and 30

We will calculate the LCM of 24 and 30 by prime factorization method

24 = 2*2*2*3 = $2^{3} * 3^{1}$

30 = 2*3*5 = $2^{1} *3^{1}* 5^{1}$

LCM = $2^{3}* 3^{1}*5^{1}$

LCM = 120

So number of hamburger buns = 120

Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30

4 0

2 years ago

NEED HELP !! There are 16 ounces in 1 pound . How many 12-ounce servings are in 36 pounds of dog food ? PLEASSSEEDE

dedylja [7]

There are (3) 12 ounce servings of dog food

7 0

3 years ago

Read 2 more answers