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Allushta [10]
3 years ago
9

Solve for x. 0 ≤ 3x – 6 ≤ 18

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0
Add six to both sides which gives you

6 ≤ 3x ≤ 24

Then divide through by 3

2 ≤ x ≤ 8
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What is the focus of the parabola? <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B2%7D%20-x%2B3" id="Te
OlgaM077 [116]
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
 the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)
3 0
3 years ago
Read 2 more answers
Find the slope of the line drawn below
Marysya12 [62]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-2}{1-1} = \frac{-5}{0}

Since division by zero is undefined then the slope of the line is undefined

4 0
3 years ago
Evaluate the expression 5(8y+3r-5z) if r=3,y=5/8,and z=2
snow_lady [41]
First you plug in the missing values
5(8×5/8+3×3-5×2) = 20
3 0
3 years ago
A number is not an interger.What type of number can it be?
EleoNora [17]
If it is not an integer, it would have to be a decimal.
4 0
3 years ago
What is the rounding or compatible number<br><br> of 256+321
Nana76 [90]
<span>Compatible </span>numbers for 256...
1. Rounded to the nearest hundred = 200
2. Rounded to the nearest tens place = 260

Compatible numbers for 321...
1. Rounded to the nearest hundred = 300
2. Rounded to the nearest tens place = 320

I hope this helps! :)


4 0
3 years ago
Read 2 more answers
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