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3 years ago

A line has a y-intercept of -4 and a slope of 0. What is its equation in slope intercept form?

Mathematics

1 answer:

N76 [4]3 years ago

4 0

Answer:

y = -4

The graph would look like a straight line going across the graph, crossing -4 on the y-axis.

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Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d

qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0

2 years ago

Please show work on how you got the answer

Maurinko [17]

Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28

3 0

3 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

lutik1710 [3]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, N = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

$P(\text{Sum}=5)=\frac{4}{36}=\frac{1}{9}$

Let X = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled n = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable X follows a Binomial distribution with parameters n = 180 and p = $\frac{1}{9}$ .

The expected value of X is:

$E(X)=np$

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

$E(X)=np\\=180\times \frac{1}{9}\\=20$

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

8 0

3 years ago

Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour.

Anika [276]

Answer:49/8

Step-by-step explanation:7/8 times 7 is 49/8

6 0

2 years ago

Read 2 more answers

Solve inequalities.

grigory [225]

Answer:

10. 7n - 1 < -8

Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:

7n - 1 (+1) < - 8 (+1)

7n < - 8 + 1

7n < - 7

Isolate the variable, n. Divide 7 from both sides:

(7n)/7 < (-7)/7

n < -7/7

n < -1

n < -1 is your answer.

11. 3 > -7v + 4v

Combine like terms, then isolate the variable, v. First, add -7v and 4v together.

3 > (-7v + 4v)

3 > (4v - 7v)

3 > (-3v)

Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:

(3)/-3 > (-3v)/-3

3/-3 > v

-1 < v

v > -1 is your answer.

4 0

2 years ago