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3 years ago

2) The sum of 5x and 2x is at least 14

Mathematics

2 answers:

Semmy [17]3 years ago

6 0

Answer:

Step-by-step explanation:

if it is less than 14 then the big side of the arrow would be facing the 14

lina2011 [118]3 years ago

5 0

Answer:

Step-by-step explanation:

5x + 2x > 14= x>2

5x + 2x < 14= x<2

5x + 2x ≤ 14= x≤2

5x + 2x ≥ 14= x≥2

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If angle 0 is in quadrant I, what is the value of

Brilliant_brown [7]

Answer:

$the \: answer \: is \: c \: = - \frac{ \sqrt{14} }{5}$

Step-by-step explanation:

$\sin^{2}0 + ( \frac{ \sqrt{11} }{5} ) ^{2} = 1( \sin^{2}0 + \cos^{2} 0 = 1)$

${ \sin }^{2}0 + \frac{11}{25} = 1 \\ { \sin }^{2}0 = \frac{14}{25}$

$\sin0_{1} = - \frac{ \sqrt{14}}{5} while \sin0_{2} = \frac{ \sqrt{14} }{5}$

Therfore theta is QI
Therfore sin theta >0
$therefore \: \sin0 = \frac{ \sqrt{14} }{5}$

4 0

2 years ago

Write an equation perpendicular to x-4y= 20 that passes through the point (2, -5)

KIM [24]

4(x -2) +(y +5) = 0 . . . . . an equation

4x +y = 3 . . . . . . . . . . . . the equation in standard form
___
A graph can be seen at
https://www.desmos.com/calculator/3ct9gfxclj

5 0

3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

How many terms are in expression 9+14d+5w+7

tamaranim1 [39]

9514 1404 393

Answer:

Step-by-step explanation:

The terms are separated by addition/subtraction symbols. There are 4 terms.

With parentheses around each term, you have ...

(9) + (14d) + (5w) + (7) . . . . 4 terms

_____

The two constant terms can be combined to give an expression with 3 terms:

14d +5w +16

4 0

2 years ago

Jason is planning to travel to Philadelphia to Orlando. His destination is 1,010 miles one way. If he flies, he can get a one-wa

Marysya12 [62]

A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.

3 0

3 years ago