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Leto [7]
3 years ago
7

The equation of a line is given below. 6x -4y = 24. Find the x-intercept and the Y-intercept then use them to graph the line

Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

x intercept is 4 and the y intercept is -6

Step-by-step explanation:

x-int:

6x=24

x=4

y-int:

-4y=24

y=-6

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Answer in slope intercept form (y = Mx + b)
denpristay [2]
The answer is y= 1x + 12

5 0
2 years ago
Write as a fraction or mixed number in simplest form. Show all work please
Gemiola [76]
First you gotta change it to a fraction, which would be 6/10 because it's in the tenths place. Now simplify it, which would be 3/5. 
4 0
2 years ago
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operators $138 per day and general laborer
prisoha [69]

Answer:

L = 2,

O = 31

Step-by-step explanation:

First using the givens, write out some formulas.

Heavy equipment operators = O

General laborers = L

  • O + L = 33
  • 138O + 87L = 4044

Now use substitution, it doesn't matter which one you substitute.

  • O = -L +33
  • 138( -L + 33 ) + 87L = 4044

Distribute and solve for L.

  • -138L + 4554 + 87L = 4044
  • -138L - 87L = 4044 - 4554
  • -225L = -510
  • L = -510/-225
  • L = 2

L = 2, meaning number of laborers employed is 2.

Now plug 2 = L into one of the original equations.

  • O + L = 33
  • O + 2 = 33
  • O = 33 - 2
  • O = 31

O = 31, meaning number of heavy equip. operators employed is 31.

4 0
3 years ago
HELPPPP PLEASEEE!!! I NEED HELPP
zhenek [66]

Answer:

≥≤ are used when the number is less/greater or equal than some thing.

>< are used when a number is strictly less/greater than some thing.

1) a number x is less than 0 or at least 3

A number x is less than 0 is written as: x < 0.

x is at least 3 is written as: x ≥ 3.

Then we can write the statement as:

x < 0  ∨ x ≥ 3.

where ∨ means "or"

2) a number x is less than or equal to 4 and greater than -1

x less than or equal to 4 is written as: x ≤ 4

x is greater than -1 is written as: x > - 1.

We can write the statement as:

-1 < x ≤ 4

3) a number x is less than 8 and greater than or equal to 5

x is less than 8 is written as: x < 8

x is greater than or equal to 5 is written as: x ≥ 5.

Then the statement can be written as:

5 ≤ x < 8,

6 0
2 years ago
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