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grin007 [14]
3 years ago
6

Transform this equation to slope-intercept form: 6x + 4y = 8

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
 as the given equation is
6x+4y=8
 so your giong to find the value of Y

<span>4y=-8 -6x
</span>finding y
so for this divide by 4 on both sides
y= 8/4 - 6x/4
y = (-6/4)x + 8/4
 y=<span> -3/2x + 2 is the slope intercept form
 hope it helps</span>

JulsSmile [24]3 years ago
3 0
Basically, ur just solving for y

6x + 4y = 8...subtract 6x from both sides
4y = -6x + 8....now divide both sides by 4
y = (-6/4)x + 8/4...reduce
y = -3/2x + 2 <=== slope intercept form
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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent
nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck  = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

percentage\ cost = \frac{(100-x)}{100}\times Original\ cost

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

34000 = \frac{(100-x)}{100}\times 40000

34000 = (100-x)\times 400                    (\frac{40000}{100}=400)

Using cross multiplication rule.

(100-x)=\frac{34000}{400}

85=100-x

x = 100-85

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0
3 years ago
What is 1,708/6 simpliphed
Marina86 [1]

Answer:

854/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 1708 and 6 is 2

Divide both the numerator and denominator by the GCD

1708 ÷ 2

6 ÷ 2

5 0
3 years ago
Question is worth 25 points what is 15 squared?
makkiz [27]
The answer is 225
15•15=225
7 0
4 years ago
Write an expression that includes the numbers 2,4,and 5, has a Value of 50, and includes one set of parentheses.
Ivanshal [37]
I do not know............
5 0
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