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3 years ago

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics

2 answers:

Keith_Richards [23]3 years ago

5 0

Answer:

impossible for me

Step-by-step explanation:

nydimaria [60]3 years ago

4 0

Wait what ? i don’t get it

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Hi can some please help?

Oduvanchick [21]

So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
Use the power rule to get:
4X^2-13X+3.
Now solve for X when f(x)=0. This is because when the slope is 0, it is either a minimum or a maximum(I'm assuming you know this)
Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
Thus our potential X values for max and min are X=1,X=4,X=3(You don't want to forget the ends of the bounds!)
Plugging these value in for f(x), we get
f(1)=2.833
f(3)=-8.5
f(4)=1.667
Thus X=1 is the max and X=3 is the min.
So max:(1,2.833)
min:(3,-8.5)

Hope this helps!

3 0

2 years ago

Which statement is correct? 1. A horizontal line has no slope. 2. A vertical line has a slope of zero. 3. A line that rises from

arsen [322]

Answer:

A line that rises from left to right has a positive slope

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

PLEASE HELP ASAP

Nat2105 [25]

A leg of a right triangle can never be greater then the hypotenuse

this formula will tell you if it's a valid right triangle
${?}^{2} + {?}^{2} = {?}^{2}$
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.

THE STEPS:
${3}^{2} + { \sqrt{7}^{2} } = {4}^{2}$
$9 + {2.65}^{2} = 16$
${2.65}^{2} = 7$
$9 + 7 = 16$
ANSWER: $\sqrt{7}$

5 0

2 years ago

Algebra: Probability

RoseWind [281]

Answer:

$qurtile1 = (\frac{n + 1}{4})th \: item \\ = (\frac{15 + 1}{4})th \: item \\ = 4th \: item \\ quartile1 = 10 \\ now \\ quartile2 =( \frac{n + 1}{2})th \: item \\ = ( \frac{15 + 1}{2})th \: item \\ = 8th \: item \\ quartile2 = 18 \\ again \\ quartile3 = 3( \frac{n + 1}{4})th \: item \\ = 3( \frac{15 + 1}{4})th \: item \\ = 12th \: item \\ quartile3 = 40$

8 0

2 years ago