Given the function f(x)= x^2 + 3x-4 determine the average rate of change of the function over the interval −8≤x≤−1.

24*43x22*8x67x890x10*3x6*1x8*1

lukranit [14]

Answer:

1032x176x67x890x30x6x8

1032×176×67×890×30×6×8x^6

1.56^13×x^6

4 0

3 years ago

At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati

Ganezh [65]

Answer:

$y=7x-513$

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=7$ ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

$61=7(82)+b$

$61=574+b$

$b=-513$

substitute

$y=7x-513$

4 0

3 years ago

Use the laws of Sines and law of cosines to find missing dimensions

Andrei [34K]

Answer:

A) ERROR

B) ∠C = 26°

Step-by-step explanation:

Houston, We have a problem!!! too much information

If we had a legit triangle, the law of sines would hold

19/sin138 = 8/sin20

28.395 = 23.390

as this is NOT an equality, the triangle does not exist as described.

IF it did, we'd get different results depending on which set we used

∠F = 180 - 138 - 20 = 22°

Law of sines

19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = 10.63697...

or

8/sin20 = DE/sin22 ⇒ DE = 8sin22/sin20 = 8.762211...

If we attempt to use Law of cosines

DE² = 19² + 8² - 2(19)(8)cos22 = 11.9639...

so really none is correct because we attempt to use trig calculations to a non-triangle.

12) AC² = 15² + 19² - 2(15)(19)cos120

AC = 29.51270...

29.51270 / sin120 = 15/sinC

C = arcsin(15sin120/29.51270) = 26.1142... 26°

6 0

3 years ago

Read 2 more answers

15 x sin(30)=?/15 x 15

Delicious77 [7]

Answer:

The exact value of

sin

(

30

)

sin(30) is

1

2

12.

15

⋅

1

2

15⋅12

Combine

15

15 and

1

2

12.

15

2

152

The result can be shown in multiple forms.

Exact Form:

15

2

152

Decimal Form:

7.5

Mixed Number Form:

7

1

2

712

Step-by-step explanation:

8 0

2 years ago

Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16

uysha [10]

Answer:

they both has 7 slides and the presentation had a duration of 28 seconds

Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

x=6

so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

2(6)+16

2x6=12 12+16=28 so both of their presentations were 28 seconds

6 0

2 years ago