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bearhunter [10]
2 years ago
10

What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x y = 1

y = 6 - 4x 7x 6 = 1 -x 6 = 1 x 6 = 1.
Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

After putting the value of y from the second equation to the first equation, the resultant equation is x=5.

GIven:

The equations are:

3x + y = 1\\
y = 6 - 4x

It is required to put the value of y from second equation to the first equation.

<h3>How to solve equations?</h3>

The value of y from the second equation is,

&#10;y = 6 - 4x

Now, put this value of y in the first equation as,

3x + y = 1\\&#10;3x+(6 - 4x)=1\\&#10;3x+6-4x=1\\&#10;-x=-5\\&#10;x=5

Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is x=5.

For more details about equations, refer to the link:

brainly.com/question/2263981

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light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take f
Svet_ta [14]

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

8 0
2 years ago
Original price: $50; markdown: 2.2%; retail price:
larisa86 [58]
$50x2.2%
50x0.022=1.1
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4 0
3 years ago
Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0
3 years ago
i have been on this test like- forever trying to figure this out im horrible at math someone please help me-
ss7ja [257]

Answer:

Step-by-step explanation:

total cost = c

students = s

cost = 7

c = s*7

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7 0
3 years ago
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
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