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NISA [10]
4 years ago
12

Jane evaluates x2 – 3x + 5 for x = –2 below. Step 1: (–2)2 –3(–2) + 5 Step 2: = –4 + 6 + 5 Step 3: = 7 What, if any, was Jane’s

mistake?
Mathematics
1 answer:
Serhud [2]4 years ago
8 0

Answer:

The jane's mmistake is

(-2)^{2}=(-2)*(-2)=4

Step-by-step explanation:

It has to x^{2} -3x+5\\x=-2\\(-2)^{2}-3(-3)+5\\4+6+5=15

You might be interested in
Let f(x)=3x2+2x−3. What is f(3)?
Annette [7]

Answer:

f(3) = 30

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² + 2x - 3

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(3) = 3(3)² + 2(3) - 3
  2. Exponents:                          f(3) = 3(9) + 2(3) - 3
  3. Multiply:                               f(3) = 27 + 6 - 3
  4. Add:                                     f(3) = 33 - 3
  5. Subtract:                              f(3) = 30
4 0
3 years ago
What is the area of the paper used to wrap a can of soup if the can is 11 cm tall and has a diameter of 7.5 cm. Show all formula
Dimas [21]

Notice that a can is a cylinder, which is basically two circles and one rectangle. Now, the question wants area of this rectangle.

You know the width of the rectangle (or the paper), which is 11cm. How do you find the length then?

Notice that the length of the rectangle is also the circumference of the circles. From here, use C = πd where C is circumference and d is diameter. The d is given, which is 7.5 cm. Depending on the question, π can be 3.14, 22/7 or the actual pi.

multiply π and 7.5cm and you get the circumference. Multiply this to 11cm and you get area of the rectangle.

6 0
3 years ago
A bottle holds 24 ounces of water. It has x ounces of water in it. What does 24 - x represent in the situation?
Misha Larkins [42]
It represents the ounces of water that the bottle can still hold.
4 0
3 years ago
Read 2 more answers
The lengths of lumber a machine cuts are normally distributed with a mean of 100 inches and a standard deviation of 0.3 inch. ​(
ki77a [65]

Answer:

a) 0.345

b) 0.005

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 0.3

We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(length greater than 100.12 ​inches)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.3}) = P(z > 0.4)

= 1 - P(z \leq 0.4)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.655 = 0.345 = 34.5\%

b) Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{41}} = 0.0468

P(length greater than 100.12 ​inches for the sample)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.0468}) = P(z > 2.564)

= 1 - P(z \leq 2.564)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.995 = 0.005

8 0
4 years ago
Plz solve all:<br><br> 4x+3−9x=<br><br> 5+3.2n−6−4.8n=<br><br> 2y−5(y−3)<br><br> −1/2(8b+3)+3b=
pashok25 [27]

Answer:

4x+3−9x= 3-5x

5+3.2n−6−4.8n= -1.6n-1

2y−5(y−3)= -3y-15

−1/2(8b+3)+3b= -1b-1.5

Step-by-step explanation:

Add the numbers with the variables.

4x-9x= -5x

Then add the rest of the equation to it.

3-5x

Again, add the numbers with the variables and simplify the others.

3.2n- 4.8n= -1.6n

5-6= -1

That leads to....

-1.6n-1

Distribute the 5 into the parenthesis.

2y-5y- 15

Now, subtract the variables.

-3y-15

Distribute into the parenthesis.

-4b+(-1.5)+ 3b

Add the variables together.

-1b-1.5

6 0
3 years ago
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