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3 years ago

Translate to the inequality a number is at least 8 the answer is _,_,_ (use x the variable)

1 answer:

7 0

X≥8
So x has to be at the VERY LEAST 8, so it can be 8, that's what the line under the greater than sign equals, but it can't be less than 8 so you would need the greater than sign not the less than

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What is the exact distance from (-5,1) to (3,0).

Ilya [14]

Answer:

The distance between the two points is $\sqrt{65} \ \text{units}.$

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

$\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

$\bullet \ \ \ (x_1, y_1), (x_2, y_2)$

This assigns a name to our points:

$x_1 = -5$
$y_1 = 1$
$x_2 = 3$
$y_2 = 0$

Therefore, we can plug these into the formula and solve:

$d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}$

Therefore, the distance between the two points is $\sqrt{65} \ \text{units}$ .

5 0

2 years ago

Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 44 inches wide and the second

Yuliya22 [10]

One piece of paper is 44 and the other is 33

she can cut each strip where it is 11 inches in width

4 0

3 years ago

Justine and her cousin Natalie are picking out snacks at the corner store for movie night. Natalie spends $5.30. Justine spends

Kitty [74]

Answer:

34.45

Step-by-step explanation:

11÷2 = 5.5

so 5.5x5.30 = 29.15 + 5.30 = 34.45

8 0

3 years ago

Given that g(x) = x^5 - 5x^4 + 10x^3 - 10x^2 + 5x - 1, find g^-1(x).

Ivan

First Factor.

$(x-1)^5 = x^5 -5x^4+10x^3 -10x^2+5x-1$

$g(x) = y = (x-1)^5$

Find inverse by solving for 'x'

$x-1 = y^{1/5} \\ \\ x = y^{1/5} +1 \\ \\ g^{-1} (x) = x^{1/5} + 1$

7 0

3 years ago

Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with yo

wolverine [178]

If you pick 3, you end up with 1 after getting to 10 then 5 then 16 then 8 then 4 then 2 then 1.
If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1.
From my observations and testing I am quite sure that you are correct

6 0

2 years ago