All categories

3 years ago

What is the solution of the following inequality? 3x^2−8x>11

1 answer:

3 0

3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > -(-8) +/- √((-8)² - 4(3)(-11))
 2(3)
x > 8 +/- √(64 + 132)
 6
x > 8 +/- √(196)
 6
x > 8 +/- 14
 6
x > 8 + 14 x > 8 - 14
 6 6
x > 20 x > -6
 6 6
x > 3.33 x > -1

You might be interested in

Find the scale factor please.

torisob [31]

Answer:

5/2

Step-by-step explanation:

The scale factor for linear measures, such as perimeter, is the square root of the scale factor for areas. The ratio of larger area to smaller is ...

... 75/12 = 25/4

so the ratio of the larger perimeter to the smaller is ...

... √(25/4) = 5/2

3 0

4 years ago

How do you do number 13

monitta

Roots: ( -2/5 , 0 ) ( 1 , 0 )

Domain: x∈ R

Maximum: ( 3/10 , 49/ 20 )

Vertical intercept: ( 0 , 2 )

(you can also download the app photomath the app is really helpful)

7 0

3 years ago

Please help, this is timed. 50 points for each answer. What is the difference quotient of f(x)?

egoroff_w [7]

x travels from -5 to 5

y stays constant at 8

Quotient is given by y/x

Hence our answer is .

$\\ \sf\longmapsto \dfrac{8}{h}$

Here h can't be 0 as it makes the diction undefined.

$\\ \sf\longmapsto \dfrac{8}{h},h\neq 0$

Option B

4 0

2 years ago

No one has answered this one

krek1111 [17]

Answer:

$\displaystyle x = \frac{25\sqrt{2}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [cosine]: $\displaystyle cos(45^\circ) = \frac{x}{25}$
[Multiplication Property of Equality] Multiply 25 on both sides: $\displaystyle 25cos(45^\circ) = x$
Rewrite: $\displaystyle x = 25cos(45^\circ)$
Evaluate: $\displaystyle x = \frac{25\sqrt{2}}{2}$

7 0

3 years ago

Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the four angles formed

vitfil [10]

We have
angle 1= $72 degrees$

see the attached picture to better understand the problem

we know that
Vertical angles are congruent
 $angle1=angle3 \\ angle2=angle4$

and

adjacent angles are supplementary
 $angle2+angle1=180 \\ angle3+angle4=180$

if the measure of one of the angles is $72$ degrees and straight lines equal $180$ degrees you have to
subtract $72$ from $180$
so
$angle 2=180-72 \\ angle 2=108 degrees$

therefore
$angle 3=amgle 1 \\ angle 3=72 degrees$

$angle 4=amgle 2 \\ angle 4=108 degrees$

the answer is

the measures of the other three angles are
$108, 108 and 72 degrees$

5 0

3 years ago

Read 2 more answers