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3 years ago

Solve the equation for 5x^2-4x=6

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

Answer:

x = (4 + 2√34)/10, x = (4 - 2√34)/10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10

Multiply: x = (4 ± √(16 + 120))/10

Simplify: x = (4 ± 2√34)/10

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Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y=mx+b represents Dave’s weekly

eduard

Answer:
Dave makes $350

Explanation:
In order to find this answer, we must first establish the equation for his earnings.
We use slope intercept form:
y = mx + b,
where m = slope and b = y-intercept.

Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation to get the following: 
y = 0.1x + 200.

Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350.

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3 years ago

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Researchers ask a random sample of 1,001 adults nationwide whether they favor or oppose the legalization of marijuana. Fifty-fiv

natima [27]

Answer:

b. It will decrease by a factor of 2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The lower end of the interval is given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}}$

The upper end of the interval is given by:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}}$

The length of the interval is the subtraction of the upper end by the lower end, so it is:

$L = 2z\sqrt{\frac{\pi(1-\pi)}{n}}$

This means that the length is inverse proportional to the square root of the size of the sample.

So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.

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3 years ago

Seven squared equal seven times

bulgar [2K]

7 squared equals 7 times 7

8 0

3 years ago

What is mode and rang

abruzzese [7]

Answer:

The mode is the number that is repeated most often, but all the numbers in this list appear only once, so there is no mode. The largest value in the list is 7, the smallest is 1, and their difference is 6, so the range is 6.

Step-by-step explanation:

give that other guy a brainliest

3 0

3 years ago

NEED HELP QUICK!!

sashaice [31]

Answer:

Y = negative x + 9

Step-by-step explanation:

Find the equation of the line for side S-

m= 4-1/1-4 = 3/-3 = -1

The Gradient is -1

Since parallel lines share the same gradient, it should be either of the first two options.

We can see side Q shares the same gradient: 3-6/6-3= -1

Find the equation of the line of side Q-

y-y1= m(x-x1)

y-6= -1(x-3)

y-6=-x+3

y= -x+9

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3 years ago

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