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WINSTONCH [101]

3 years ago

12

Determine whether the given value is a discrete or continuous variable. People are asked to state how many times in the last mon

th they visited their family doctor.

1 answer:

exis [7]3 years ago

8 0

Discrete because they replies can only be integer

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Susan has $65 in her savings account. Her friend coco has &119 in her savings account. Susan plans to add $23 per week. How

uranmaximum [27]

Answer:

After 10 weeks, Susan will have $295 and CiCi will have $259.

Step-by-step explanation:

Susan: y= 65+23x

CiCi: y = 119+14x

65+23(6)=203

119+14(6)=203

After 6 weeks, Susan and CiCi will both have $203 in their accounts.

65+23(10)=295

119+(14)(10)=259

Therefore, After 10 weeks, Susan will have $295 and CiCi will have $259.

4 0

3 years ago

Given B(17,5), C(11, -3), D-1, 2), and<br> E(x, -6), find the value of x so that BC || DE.

son4ous [18]

Answer:

$x=-7$

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.
Two lines are perpendicular if their slopes are negative reciprocals.
And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

We want to find the value of x such that $\overline{BC}\parallel\overline{DE}$ .

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

$m=\frac{-3-5}{11-17}$

Subtract:

$m=-8/-6=4/3$

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

$m=\frac{-6-2}{x-(-1)}$

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

$\frac{4}{3}=\frac{-6-2}{x-(-1)}$

Solve for x. Simplify the right:

$\frac{4}{3}=\frac{-8}{x+1}$

Cross multiply:

$4(x+1)=-8(3)$

Multiply on the right:

$4(x+1)=-24$

Divide both sides by 4:

$x+1=-6$

Subtract 1 from both sides:

$x=-7$

So, the value of x is -7.

And we're done!

6 0

3 years ago

Castor brought 6 3/4 small carrot cakes to share with 26 students in his class. Did Castor bring enough for each student to have

Artemon [7]

Yes that is correct 27 pieces
------------
26 students

3 0

4 years ago

Help please! i'm in class and i have 10 mins left. :)

pickupchik [31]

Answer:

3:8

Step-by-step explanation:

i will gadit

that only

5 0

3 years ago

Any help I don’t really understand this

DENIUS [597]

Comment
The point is how to remove the brackets when a minus sign is on the left hand side. A second problem is how to get all the terms on one side over to the other.

Step One
Remove the brackets on the left side. This is an absolutely necessary step in the rest of your mathematical studies. What was done in this step affects all three terms on the inside of the brackets. Minus signs are real bad things to misuse. Study carefully how to change the signs when multiplying by a minus.

Rule a minus sign outside the brackets, when multiplied by anything inside the brackets, change the <span>sign to the opposite of what it was</span>.

-20 + 4x + 5x^2 = 20 - 7x^2

Comment
Before doing the last step, look at the answers. Two of them are 40. That is the answer for 20 and -20 when transferred. It's 40 which is a plus. So you should be transferring from left to right.

Step Two
Transfer from left to right.
-20 + 4x + 5x^2 = 20 - 7x^2 Add 20 to both sides.
4x + 5x^2 = 20 + 20 - 7x^2 Subtract 4x from both sides.
5x^2 = 40 - 7x^2 - 4x Subtract 5x^2 from both sides
0 = 40 - 7x^2 - 5x^2 - 4x
0 = 40 - 12x^2 - 4x Now you have to put them in the right order.

0 = 40 - 4x - 12x^2 <<<<< Answer

8 0

4 years ago