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lesantik [10]
3 years ago
10

6x + 5y = 16 −6x + 7y = 80

Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

The equation of the line in point-slope form is equal to

The equation of the line in standard form is equal to

step 1

Find the slope m

Let

step 2

convert to standard form

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What is the answer, explain
aniked [119]
The value is 100,000
7 0
3 years ago
Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?
bezimeni [28]
It is a decimal that does not terminate. 1/3 is equivalent to .3333333333 and so on. it never ends
4 0
3 years ago
Solve each equation (quadratic pattern)
dusya [7]

Answer:  x = 2

<u>Step-by-step explanation:</u>

2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}

********************************************************************************

Answer:  x = 0

<u>Step-by-step explanation:</u>

3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}

********************************************************************************

Answer:  No Solution

<u>Step-by-step explanation:</u>

4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}

********************************************************************************

Answer:  No Solution

<u>Step-by-step explanation:</u>

<u>9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}</u>

<u />

6 0
3 years ago
Which of the following disasters is typically not covered by property
Dima020 [189]

Answer: C

Step-by-step explanation: Typically flood insurance is not included. You can however individually buy flood insurance.

6 0
3 years ago
The distribution of cholesterol levels in teenage boys is approximately normal withnbsp mu equals 170 and sigma equals 30 ​(Sour
ddd [48]

Answer: 0.0336

Step-by-step explanation:

Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean :\mu= 170

Standard deviation : \sigma= 30

The formula for z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=225

z=\dfrac{225-170}{30}=1.83

The p-value =P(z>1.83)=1-P(z

=1-0.966375=0.033625\approx0.0336

The probability that a teenage boy has a cholesterol level greater than 225 =0.0336

4 0
3 years ago
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