If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

Step-by-step explanation:

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Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Answer:

[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]

General Formulas and Concepts:

Multivariable Calculus

Cylindrical Coordinate Conversions:

Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²

Plane z = 2

Step 2: Find Volume Pt. 1

Find bounds of z.

∴ 0 ≤ r ≤ 2√3

Step 2: Find Volume Pt. 2

∴ 0 ≤ θ ≤ 2π

Step 3: Find Volume Pt. 3

∴ 2 ≤ z ≤ √(16 - r²)

Step 4: Find Volume Pt. 4

∴ the volume of the region is found with the integral above.

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Learn more about multivariable calculus: https://brainly.com/question/17203772

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Topic: Multivariable Calculus

Unit: Triple Integral Applications

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

first you need to know that the the sum of the co-interior angle is  180 degree and the sum of the opposite side of  parallelogram is always equal.

now x+140=180(being co - interior angle)

or, x= 180-140

therefore, x =40 degree

y= 140 degree because sum of the opposite side of  parallelogram is always equal.

x= z=40 degree (sum of the opposite side of  parallelogram is always equal.

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Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

B

Step-by-step explanation:

Answer:

I'm  so sorry I did not mean to answer! Ignore my response

Step-by-step explanation:

Answer:

0.1739 = 17.39% probability of a successful call.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The odds of making a sale on a single call are 4 to 19.

This means that in 4 + 19 = 23 calls, 4 are successful.

What is the probability of a successful call?

[tex]p = \frac{4}{23} = 0.1739[/tex]

0.1739 = 17.39% probability of a successful call.

the answer is 4,13 of the perimeter

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

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Answer:

Step-by-step explanation:

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Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

Answer:

55

Step-by-step explanation:

all of the angles in a triangle ALWAYS add up to 180 degrees.

do the math.

Answer:

B

Step-by-step explanation:

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

Answer:

The area of triangle is 384 inches².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 32 inches × 24 inches.

multiply,

Area of triangle = 1/2 × 768 inches ²

Divide, we get

Area of triangle = 384 inches ²

Therefore, The area of triangle is 384 inches².

Answer:

x=00

Step-by-step explanation:l

nnm

Step-by-step explanation:

quadratic formula

-b+-√b^2

2a

-2+-√2^2-4×1×-16

2×1

-2+-√68

2

either

x= 3.125

or

x= -5.125

Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1