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2 years ago

Number 2: (look at pivture) 10 point

Mathematics

2 answers:

emmainna [20.7K]2 years ago

5 0

Answer:

I think it should be A.

Step-by-step explanation:

The first arrow represents 2, and the second arrow represents subtracting -3 from it, represented as -(-3). This means that the first part of the equation is 2 - (-3). Now you have to solve it. When subtraction is modeled like this with a negative number, it actually means addition. This means that the answer should be as simple as 2+3 because there were two negative signs. 2+3=5, so A should be the answer.

PolarNik [594]2 years ago

3 0

Answer:

Step-by-step explanation:

Because the arrow is going 2 in the right direction...so you have to have the 2 in the equation...

and the reason it equals 5 instead of a (-) number is because of the KCC rule

so basically the equation is 2+3

or if you don't want the long way just look at all of the equations...only one of the have a 2 in it so it is automatically the correct answer

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Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as fa

IRISSAK [1]

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)

The Fourth-day ride will be=1.5*1.5(1.5x)

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

5 0

2 years ago

Garvey's Electronic store is having a storewide sale. For a television set with a regular price of x dollars, a 15 percent disco

ratelena [41]

With the equation:
0.15 x = 30
x = 30 : 0.15 = $200
A regular price of TV is $200.
Which could not be used to determine x ( we shall plug in the value 200 ):
A ) 0.15 * 200 = 200 - 30
30 ≠ 170
B ) 0.85 * 200 = 200 - 30
170 = 170 ( correct )
C ) 200 - 0.15 * 200 = 200 - 30
200 - 30 = 200 - 30
170 = 170 ( correct )
D ) 0.15 * 200 = 30
30 = 30 ( correct )
Answer:
A ) 0.15 x = x - 30

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3 years ago

Help ASAP!!!!!!!!!!!!

zepelin [54]

Answer:

x is greater than or equal to -4

Step-by-step explanation:

I am not sure if I have to graph as well so I will just solve the inequality.

3x-12 greater than or equal to 7x+4

+12 +12

3x is greater than or equal to 7x+16

-7x -7x

-4x is greater than or equal to 16

-4x/-4 16/-4

x is greater than or equal to -4

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2 years ago

(a) Determine a cubic polynomial with integer coefficients which has $\sqrt[3]{2} + \sqrt[3]{4}$ as a root.

Keith_Richards [23]

Answer:

(a) $x\³ - 6x - 6$

(b) Proved

Step-by-step explanation:

Given

$r = $\sqrt[3]{2} + \sqrt[3]{4}$$ --- the root

Solving (a): The polynomial

A cubic function is represented as:

$f = (a + b)^3$

Expand

$f = a^3 + 3a^2b + 3ab^2 + b^3$

Rewrite as:

$f = a^3 + 3ab(a + b) + b^3$

The root is represented as:

$r=a+b$

By comparison:

$a = $\sqrt[3]{2}$

$b = \sqrt[3]{4}$$

So, we have:

$f = ($\sqrt[3]{2})^3 + 3*$\sqrt[3]{2}*\sqrt[3]{4}$*($\sqrt[3]{2} + \sqrt[3]{4}$) + (\sqrt[3]{4}$)^3$

Expand

$f = 2 + 3*$\sqrt[3]{2*4}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4$

$f = 2 + 3*$\sqrt[3]{8}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4$

$f = 2 + 3*2*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4$

$f = 2 + 6($\sqrt[3]{2} + \sqrt[3]{4}$) + 4$

Evaluate like terms

$f = 6 + 6($\sqrt[3]{2} + \sqrt[3]{4}$)$

Recall that: $r = $\sqrt[3]{2} + \sqrt[3]{4}$$

So, we have:

$f = 6 + 6r$

Equate to 0

$f - 6 - 6r = 0$

Rewrite as:

$f - 6r - 6 = 0$

Express as a cubic function

$x^3 - 6x - 6 = 0$

Hence, the cubic polynomial is:

$f(x) = x^3 - 6x - 6$

Solving (b): Prove that r is irrational

The constant term of $x^3 - 6x - 6 = 0$ is -6

The divisors of -6 are: -6,-3,-2,-1,1,2,3,6

Calculate f(x) for each of the above values to calculate the remainder when f(x) is divided by any of the above values

$f(-6) = (-6)^3 - 6*-6 - 6 = -186$

$f(-3) = (-3)^3 - 6*-3 - 6 = -15$

$f(-2) = (-2)^3 - 6*-2 - 6 = -2$

$f(-1) = (-1)^3 - 6*-1 - 6 = -1$

$f(1) = (1)^3 - 6*1 - 6 = -11$

$f(2) = (2)^3 - 6*2 - 6 = -10$

$f(3) = (3)^3 - 6*3 - 6 = 3$

$f(6) = (6)^3 - 6*6 - 6 = 174$

For r to be rational;

The divisors of -6 must divide f(x) without remainder

i.e. Any of the above values must equal 0

<em>Since none equals 0, then r is irrational</em>

3 0

2 years ago

The price of a technology stock has dropped to $9.53 today. Yesterday's price was $9.60. Find the percentage decrease. Round you

Law Incorporation [45]

0.70% i believe is the answer :)

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2 years ago