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makkiz [27]
3 years ago
15

If f(x)=l 2x-4 l, find f(-7).

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

f(-7) = 18

Step-by-step explanation:

Add AbS in calculator

or

2(-7) = -14 (AbS) -> 14

-4 -> (AbS) = 4

14+4 = 18

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The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph
Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

f(x)=x^3

The translation of a function is defined as

g(x)=f(x+a)+b

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

g(x)=f(x+4)+(-2)

g(x)=(x+4)^3-2              [\because f(x)=x^3]

y=(x+4)^3-2

Therefore option B is correct.

8 0
3 years ago
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How to write a polynomial in standard form
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Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.

Let's look at an example which I provided in the image attached.

In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the <em>x</em>.

This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.

So, you look at the degree of each term and then write each in term in order of degree from greatest to least (descending order).

5 0
3 years ago
A display of pens has 8 hooks. Each hook can hold 3 packages of pens and there are 3 pens in each package. If the display is com
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(8×3)×3=78
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Steel prices were $4.30 per foot and increased 10%. What is the new price ?
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