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horsena [70]
3 years ago
8

Some one please help !!! How do I solve -1<-x/3<1

Mathematics
1 answer:
MArishka [77]3 years ago
4 0
- 1 < - x/3 < 1
1st. Multiply all parts by 3:

-3 < - 3x/3 < 3. Simplify the mid term:

-3 < -x <  3. Now multiply all terms by - 1. Note when you multiply by a negative number, you flip the inequality signs:

(-1)(-3) < (-1)(-x) < (-1)(3)

+3 > x> -3

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PLEASE HELP I NEED THIS ASAP<br> Find the vertex of y=x^2-7x+4
Goshia [24]

Answer:

\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

Step-by-step explanation:

y=x^2-7x+4\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=1,\:b=-7,\:c=4\\x_v=-\frac{b}{2a}\\x_v=-\frac{\left(-7\right)}{2\cdot \:1}\\\mathrm{Simplify}\\x_v=\frac{7}{2}\\\mathrm{Plug\:in}\:\:x_v=\frac{7}{2}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4\\

\mathrm{Simplify\:}\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4:\quad -\frac{33}{4}\\y_v=-\frac{33}{4}\\Therefore\:the\:parabola\:vertex\:is\\\left(\frac{7}{2},\:-\frac{33}{4}\right)\\\mathrm{If}\:a0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=1\\\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

6 0
3 years ago
This is pretty hard ​
dedylja [7]

Answer:

yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!

Step-by-step explanation:

7 0
3 years ago
A bottle of ketchup holds .946 letters. how many milliliters will the ketchup bottle hold
adoni [48]
The bottle will hold 946 milliliters if it holds .946 liters 
4 0
3 years ago
The amount that Jimmy paid for his meals the four days, $6.45, $21.38, $1.99, $7.99, $16, $0, $7.99, $18.95, $4.30, $10.35, $18.
ella [17]

Answer:

$7.99

Step-by-step explanation:

Arrange numbers in numerical order: $0, $1.99, $4.30, $6.45, $7.99, $7.99, $10.35, $16, $18.20, $18.95, $21.38.

Count how many numbers you have, 11.

11 is an odd number so, the number in the middle of the data set is the median.

Final answer: $7.99 is the median.

7 0
2 years ago
Is 3/4 bigger than 11/16?
worty [1.4K]
Yes because if you simplify 11/16 you would not get 3/4. Or a bwtter way is if you times 4 by 4 to get 16 as a denominator, then multiply 3 by 4 it equals more than 11/16.
5 0
3 years ago
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