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3 years ago

Let f(x)=x2+10x+29 . What is the minimum value of the function?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

6 0

(-5, 4)

You can get this by finding the vertex at -b/2a for x value and plugging in to find the y value.

solniwko [45]3 years ago

5 0

Answer:

It's just 4

Step-by-step explanation:

Did the test~

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A large waterfall is managed so that a minimum of 110,000 cubic feet of water per second sec) fow over the fals. Find the minimu

Liula [17]

Answer:

9.504×10⁹ ft³

Step-by-step explanation:

We are told the amount of water in cubic feet per second. We need it in cubic feet per hour, then multiply that amount by 24 to get the cubic feet of water that falls in a 24-hr period. Converting the seconds to hours:

$\frac{110,000ft^3}{sec}*\frac{3600sec}{1hr}$

The seconds label cancels out leaving us with a label in cubic feet per hour. That number, NOT in scientific notation (we'll do that at the end) is:

396000000 cubic feet per hour.

Multiply that by 24 and you get:

9504000000 cubic feet or

9.504×10⁹ cubic feet

5 0

3 years ago

A cerise box has a height of 32 centimeters. It has a base with an area of 160 square centimeters. What is the volume, in cubic

Nonamiya [84]

Answer:

5,120 cm³

Step-by-step explanation:

Volume = Base area × height

Base area = 160 cm²

Height = 32 cm

Vol. = 160 × 32

= 5,120 cm³

7 0

3 years ago

Divide 3983 /4 give quotient and remainder

alukav5142 [94]

Answer:

quotient = 995

remainder = 3

Step-by-step explanation:

4 0

2 years ago

34 divided 5323 in simple form

joja [24]

The value when 34 is divided by 5323 is 0.00639.

<h3>What is division?</h3>

It should be noted that division simply means the opposite of multiplication. It represents the way numbers are combined in order to make new numbers.

The steps include:

1: Take the dividend's first digit starting from the left in step one. Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

4: Decrease the dividend's subsequent digit (if present).

5: Carry out Step 4 again.

In this case, 34 divided 5323 will be 0.00639. It should be noted that this illustrates a decimal.

Learn more about division on:

brainly.com/question/25289437

#SPJ1

7 0

1 year ago

Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

Let ​ f(x)=x2+10x+29 ​. What is the minimum value of the function?

Let f(x)=x2+10x+29 . What is the minimum value of the function?