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My name is Ann [436]
3 years ago
6

Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

x=(-12,0)

y=(0,3)

Step-by-step explanation:

<u><em>x-intercept</em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

x=4y-12

x=4(0)-12

x=-12

<u><em>y-intercept </em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

-4y=-12-x

y=-\frac{-12-x}{4}

y=-\frac{-12-(0)}{4}

y=\frac{12}{4}

y=3

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Help please!10 points
laila [671]

Answer:

The equation of the line is y = 3x + 3

Step-by-step explanation:

Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.

The equation of a line is always in y = kx+b form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).

We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.

y = 3x+3

Hope this helped!

3 0
3 years ago
Read 2 more answers
Which equation has no solution?
konstantin123 [22]

Answer:

B) 4x-5-3x=x+5 has no solution.

Step-by-step explanation:

A) 4x+4=4-4x

4x-(-4x)+4=4

4x+4x+4=4

8x+4=4

8x=4-4

8x=0

x=0/8

x=0

------------------

B) 4x-5-3x=x+5

4x-3x-5=x+5

x-5=x+5

x-x-5=5

-5=5

no solution.

------------------------

C) 4x+15-9x=5x+15

4x-9x+15=5x+15

-5x+15=5x+15

-5x-5x+15=15

-10x+15=15

-10x=15-15

-10x=0

x=0/-10

x=0

------------------------

D) 4x+2-x=4+3x-2

3x+2=3x+4-2

3x+2=3x+2

infinitely many solutions.

8 0
2 years ago
The square of even numbers are even number .show?​
natima [27]

Answer:

. It’s because a prime factor of all even numbers is 2. Therefore the prime factors of all even squares includes two, therefore, the square must be even.

3 0
2 years ago
Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode an
Romashka [77]

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

<em>90, 90</em>, <u>93</u>, <em>94 ,96</em>

Median = 93

Mode

<em>96, </em><u>90</u><em>, 94, 93, </em><u>90</u><em> </em>

Mode = 90

Range:

96 - 90 = 6

Range = 6

8 0
2 years ago
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