Assume y=x²+3x+6. what is the avg rate of change of y with respect to x as x changes from -4 to -2

Options... 1.<F 2.<MFE 3.EFD Plz answer

hoa [83]

Answer:

Angle F, or 1; see below

Step-by-step explanation:

When two triangles are congruent, everything about them is equal. Angle C is congruent F because they are in the same position on the triangle.

3 0

3 years ago

Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni

N76 [4]

Answer:

The shortcuts is

Divide number of units by 100

Step-by-step explanation:

From the question we are told that

insulin u-100 is $L = 100 \ unit /mL$

From the data given above we see that

100 units of insulin u-100 is contained in 1 mL

So 1 unit of u-100 is contained in x mL

=> $x = \frac{1}{100} \ mL$

This means that a unit of insulin u-100 occupies $x = \frac{1}{100} \ mL$

So we can represent a single unit of insulin u-100 as $\frac{1}{100} \ mL$

Now if 1 unit of insulin u-100 is represented as $\frac{1}{100} \ mL$

Then y unites of insulin u-100 is represented as z

So

$z = \frac{y}{100} \ mL$

From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100

6 0

3 years ago

What is 41/19 to the nearest tenth

olga2289 [7]

Answer:

2.2

Step-by-step explanation:

41/9 is 2.15789473684

since you need it to the nearest tenth, just get rid of the other numbers past the five, you will then have 2.15

since you are looking for the nearest tenth, you need to look at the 2nd number after the decimal place to determine whether it rounds up or down. ( a helpful rule is 5 or above, give it a shove. 4 or below, leave it alone. because the 2nd digit is 5 you need to give the 1 a shove and turn it into a 2. Since you gave the 5 a shove, you need to get rid of that 2nd digit in your answer.

FINAL ANSWER: 2.2

6 0

3 years ago

Read 2 more answers

Compare the perimeter and area of the original figure to the perimeter and area of the reduced figure using the scale factor. A

Serggg [28]

Answer:

- The scale factor is one-half

- The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle

-The area of the reduced figure is (1/2)^2 = 1/4 times the area of the original figure

Step-by-step explanation:

The ratio of the length of the original rectangle to that of the reduced rectangle is 6 to 3, or a factor of 1/2. The ratio of the width of the original rectangle to that of the reduced rectangle is 2 to 1, or, again, a factor of 1/2. So, because this ratio of 1/2 is constant, we know the total scale factor is 1/2, making B correct.

The perimeter of a rectangle is: $P=2l+2w$ , where l is the length and w is the width. The perimeter of the reduced figure is: P = 2 * 3 + 2 * 1 = 6 + 2 = 8 units. The perimeter of the original figure is: P = 2 * 6 + 2 * 2 = 12 + 4 = 16 units.

Notice that 16 * (1/2) = 8, which means that the perimeter of the scale-factored, reduced rectangle is "the product of the scale factor (which is 1/2) and the perimeter of the original rectangle (which is 16)". So, C is correct.

The area of a rectangle is: $A=lw$ , where l is the length and w is the width. The area of the reduced figure is: A = 3 * 1 = 3 units squared. The area of the original figure is: A = 6 * 2 = 12 units squared.

Notice that 12 * (1/4) = 3, which means that E is correct, but D is wrong.

Hope this helps!

4 0

3 years ago

Read 2 more answers

Solve this problem y=.01(x-50)2 +30

wolverine [178]

Answer: x = 5y - 100

Step-by-step explanation:

6 0

3 years ago