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Leto [7]
3 years ago
10

Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1, -1).

Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Answer:

  y = 2x +1

Step-by-step explanation:

The given line is in "slope-intercept" form, where the slope is the coefficient of x, 2, and the intercept is the added constant, 3. The parallel line will have the same slope, but its constant will be different. We can find the constant by putting the given point into an equation with the constant as the unknown:

  y = 2x + b

  -1 = 2(-1) +b . . . substitute for x and y

 2 -1 = b . . . . . . add 2

  1 = b

So the equation for the parallel line is ...

  y = 2x + 1

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PLSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWER THIS
postnew [5]

Step-by-step explanation:

(a.y^{3} +3y^{2} -3 ) = (ay^{2} +(4a+3)y +4(4a+3))(y-4) +64a+45

so A = 64a +45

(2y^{3} -5y+a =(2y^{2} +8y +27)(y-4) +108 +a

so B = 108 +a

2A-B=0--> 2(64a+45)-108-a=0--> a =18/127

7 0
3 years ago
10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.
erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

p = \frac{4}{6} = 0.6667

10 normal six sided dice are thrown.

This means that n = 10

Find the probability of obtaining at least 8 failures.

This is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951

P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867

P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174

Then

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0
3 years ago
Solve kx + 7 = 4 for x.
Leya [2.2K]

Answer:

4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ricardo spends 2 2/3 hours practicing soccer on
ladessa [460]

Answer:

10 7/12 hours

Step-by-step explanation:

so we have to multiply 2 2/3 twice since he does that many hours for 2 days. We then have to multiply 1 3/4 three times since he does that many hours for 3 days. Lets first convert 2 2/3 into a mixed fraction. 2 2/3 = 3 times 2 =6 +2=8 over 3. 1 3/4=4 times 1=4+3=7 over 4. 8/3 times 2 equals 16/3 which eqials

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5 1/3 and 5 1/4. 5+5=10 but the fractions are not the same. Therefore, we need to make it to a common denominator. 4 times 3 equals to 12 so 4/12 plus 3/12 equals 7/12. Final answer equals to 10 7/12.

3 0
3 years ago
I need help figuring out the slope to these points Y=-x-4
mash [69]

Answer:the slope is -1

Step-by-step explanation:

Comparing them equation to

y=mx+c where m is there slope

y=-x-4 the slope is -1

8 0
3 years ago
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