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Dimas [21]
3 years ago
12

A scatter plot containing the point (10,7) has the regression equation yˆ=−x−3

Mathematics
1 answer:
MrRa [10]3 years ago
5 0
I got lettter C but im not %100 sure tho
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Write the following number as ratios of integers
s2008m [1.1K]

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let x=7.\overline{6}. We want to cut the 0.\overline{6} bit off completely, so let's create the scalpel that'll let us do that. If x=7.\overline{6}, then we can also say that 10x=76.\overline{6}. Maybe I was lying a bit: the x is our real scalpel here, and 10x is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting x off of 10x) leaves us with:

10x-x=76.\overline{6}-7.\overline{6}\\9x=69

The operation was a success! We can now simply divide either side by 9 to find x = 69/9, which, when reduced by dividing the numerator and denominator by 3, gives us x=23/3

7 0
3 years ago
What is 45.67 in expanded form? 40+5+0.6+0.07 or 40+0.5+0.06+0.007 or 40+5+0.6+0.007 or 4+5+0.06+0.007?
polet [3.4K]
It's right .
40+5+0.6+0.07

8 0
3 years ago
Mary borrowed $6000 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan was $7
daser333 [38]
4.17




Step by step : I don’t know if it’s right but I did $6000 x 3 cause he did it for 3 year and then it came up to $18,000 then I did what is the percentage of 750$ in $18,000 and got 4.17
3 0
3 years ago
1. What is the extraneous solution of √x−3 + x = 9?
Sunny_sXe [5.5K]

Answer:

1. x = 12

2. 3∛4 feet.

Step-by-step explanation:

1. We are given the equation of x as \sqrt{x - 3} + x = 9 and we have to find the extraneous solution of the equation.

Now, \sqrt{x - 3} + x = 9 ............. (1)

⇒ \sqrt{x - 3} = 9 - x

Squaring both sides we get,

⇒ x - 3 = 81 - 18x + x²

⇒ x² - 19x + 84 = 0

⇒ x² - 12x - 7x + 84 = 0

⇒ (x - 12)(x - 7) = 0

⇒ x = 12 or 7.

Now, putting x = 12 in the equation (1) we get,

\sqrt{12 - 3} + 12 \neq   9

Again, putting x = 7 in the equation (1) we get,

\sqrt{7 - 3} + 7 = 9

Therefore, x = 12 is an extraneous solution of this equation. (Answer)

2. The volume of a cube with side lengths a ft. is given to be 108 ft³.

So, a³ = 108

⇒ a = 3∛4 feet.

Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)

3 0
3 years ago
A man steps out of a plane at a height of 4,000m above the ground falls 2,000m very quickly and then opens his parachute and slo
Mumz [18]

Answer:

Step-by-step explanation:

A man steps out of a plane at 4,000m of height above the ground.The point at which he jumps out of the plane would make a good reference point. However, if his acceleration is going to change as a result of him opening his parachute 2000m above the ground, a good reference point would be there. Keep in mind though, that his velocity at that instant would need to be known for it to be useful- otherwise the airplane reference point would be just as good with appropriate modeling....

7 0
3 years ago
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