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3 years ago

What is the maximum value of the function f(x) = -x2 + 4?

Mathematics

1 answer:

xenn [34]3 years ago

8 0

Answer:

-x2+4=-x=4-2=2

-x=2

x= -2

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In yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller tha

hichkok12 [17]

Answer:

The number of students in the class is 21

Step-by-step explanation:

The first thing to consider is Andy.

Let x be the number of students who are taller than Andy.

Then the number of the rest students, excluding Andy, is 4x, according to the condition.

So, the total number of students in the class is (x + 4x + 1), or 5x+1.

Next, consider Violetta.

Let y be the number of students who are shorter than Violetta.

Then the number of the rest students, excluding her, is 3y, according to the condition.

So, the total number of students in the class is (y + 3y + 1), or 4y+1.

We see, that the number of students in the class MINUS one is a multiple of 4 (four) and of 5 (five), at the same time.

So, the number of students in the class is EITHER 20+1 = 21 OR 40+1 = 41, if consider couple of minimal values.

But 41 is excluded by the condition, leaving a UNIQUE ANSWER:

The number of students in the class is 21.

6 0

2 years ago

Joan gets $1,000 paycheck each month. She saves $50 from each paycheck. What percent of her paycheck does Joan save?

kirill [66]

Answer:

The percentage of paycheck Joan saves is 5% .

Step-by-step explanation:

Given as :

The paycheck that Joan gets each months = x = $1,000

The money that Joan saves from each paycheck = y = $50

Let The percentage of paycheck Joan saves = z%

Now, According to question

The percentage of paycheck Joan saves = $\dfrac{\textrm money that Joan saves from each paycheck}{\textrm total paycheck money}$ × 100

Or, z = $\dfrac{y}{x}$ × 100

Or, z = $\dfrac{50}{1000}$ × 100

Or, z = 5%

So, The percentage of paycheck Joan saves = z = 5%

Hence,The percentage of paycheck Joan saves is 5% . Answer

3 0

2 years ago

Find the surface area of the cylinder.

timofeeve [1]

$\bf \textit{surface area of a cylinder}\\\\
SA=2\pi r(h+r)~~
\begin{cases}
r=3.5\\
h=12
\end{cases}\implies SA=2\pi (3.5)(12+3.5)
\\\\\\
SA=7\pi (15.5)\implies SA=108.5\pi$

4 0

3 years ago

A and B are independent events. P(A)=0.80 and P(B)=0.10. what is P(A and B)?

vaieri [72.5K]

You multiply them so it would be 0.08

8 0

3 years ago

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Add. Express your answer in simplest terms. 1/5+2/3

DedPeter [7]

Y0ou find a common denominatior, in this case is 15.... then multiply whatever u had to get the denominator 15 times the top number, so 3/5 + 10/15 = 13/15

4 0

2 years ago

Read 2 more answers