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3 years ago

Please help! I don't understand this.

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

1) 7

2) 49

3) 56

4) 9

5) 91

Step-by-step explanation:

For the day blanks, you just multiply the number of weeks by 7.

For the week blank, you divide 63 by 7

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How many solutions are possible for a system of equations containing exactly one linear and one quadratic equation? (Select all

galina1969 [7]

Remember that a quadratic equation is a parabola. The equation is of the type y = Ax^2 + Bx + C

A linear equation is a straight line. The equation is of the type y = MX + N

The soluction of that system is Ax^2 + Bx + C = MX + N

=> Ax^2 + (B-M)x + (C-N) = 0

That is a quadratic equation.

A quadratic equation may have 0, 1 or 2 real solutions. Those are all the possibilitis.

So you must select 0, 1 and 2.

You can also get to that conclusion if you draw a parabola and figure out now many point of it you can intersect with a straight line.

You will realize that depending of the straight line position it can intersect the parabola in none point, or one point or two points.

6 0

3 years ago

Look at the figure find the value of x for which l || m

Orlov [11]

Answer:

x=5

Step-by-step explanation:

19x and its vertical angle are equal. Lets call that angle y

<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5

8 0

3 years ago

Lily drove 354 miles in 6 hours. On average, how fast did she drive in hours per mile?

vagabundo [1.1K]

Answer: $\dfrac{1}{59}\ \text{hours per mile}$

Step-by-step explanation:

Given : Distance traveled by Lily= 354 miles

Time= 6 hours

Then,

$\text{LIly's rate in hours per mile}=\dfrac{6\text{ hours}}{354\text{ mile}}\\\\=\dfrac{1}{59}\ \text{hours per mile}$

Hence, the required speed of Lily = $\dfrac{1}{59}\ \text{hours per mile}$

3 0

3 years ago

The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associ

Vinvika [58]

Answer:

The probability of the system being down in the next hour of operation is 0.3.

Step-by-step explanation:

We have a transition matrix from one period to the next (one hour) that can be written as:

$T=\left[\begin{array}{ccc}&R&D\\R&0.7&0.3\\D&0.2&0.8\end{array}\right]$

We can represent the state that system is initially running with the vector:

$S_0=\left[\begin{array}{cc}1&0\end{array}\right]$

The probabilties of the states in the next period can be calculated using the matrix product of the actual state and the transition matrix:

$S_1=S_0\cdot T$

That is:

$S_1=S_0\cdot T= \left[\begin{array}{cc}1&0\end{array}\right]\cdot \left[\begin{array}{cc}0.7&0.3\\0.2&0.8\end{array}\right]= \left[\begin{array}{cc}0.7&0.3\end{array}\right]$

With the inital state as running, we have a probabilty of 0.7 that the system will be running in the next hour and a probability of 0.3 that it will be down.

7 0

3 years ago

13. If AC = 16, DE = 8 and BE = 6, find AE. Please show all work

ollegr [7]

Answer:

AE = 4

Step-by-step explanation:

Use the formula

AE*EC = DE*EB

Since we don't know AE or EC, let AE = x and then EC will = 16 - x. The formula then becomes

x(16 - x) = 8(6)

$16x-x^2=48$

Getting everything on one side and setting it equal to 0 will allow us to factor for x:

$x^2-16x+48=0$

Factoring that gives you that

x = 4 and x = 12. That means that one of those sements has a length of 4 and the other has a length of 12. AE is shorter so it's 4 and EC = 12

5 0

3 years ago

Please help! I don't understand this.​

Please help! I don't understand this.