If f(x) = 5x + 3 and g(x) = x – 4, then f(x) + g(x) =

Answer: B. (0,-10)

(I got it right in the exam review.)

Answer:

The answer is B.

Step-by-step explanation:

Answer:

complete the question please

Step-by-step explanation:

Answer: The musical group sold  60%of the white hats and  70%of the black hats.

A greater percentage of  black hats were sold.

Step-by-step explanation: to answer this question we have to divide the number of hats sold by the number of total hats for each case.

Then, we have to multiply that result by 100, to obtain the result in percentage form.

White Hats: (120/200) x 100 =60%

Black hats: (210/300) x 100= 70%

The musical group sold 60%of the white hats and 70%of the black hats.  

A greater percentage of black hats were sold. (Since 70 > 60 )

Answer:

0.9876

Step-by-step explanation:

Given a normal distribution :

Mean(m) of distribution = 5V

Standard deviation (sd) = 0.02 V

Lower voltage specification = 4.95

Upper voltage specification = 5.05

Using the Zscore formula :

(x - m) / sd

x = 4.95

(4.95 - 5) / 0.02

-0.05 / 0.02 = -2.5

P(Z ≤ -2.5) = 0.0062

x = 5.05

(5.05 - 5) / 0.02

0.05 / 0.02 = 2.5

P(Z ≤ 2.5) = 0.9938

P(Z ≤ 2.5) - P(Z ≤ -2.5)

0.9938 - 0.0062 = 0.9876

Answer:

In fraction form: 1/25

In percent: 4%

Step-by-step explanation:

Step-by-step explanation:

The width of each interval is Δx = (4−1)/6 = 1/2.

a) Evaluate the function at the beginning and end of each interval.

f(x) = 7√(ln x)

f(1) = 7√(ln 1) = 0

f(1.5) = 7√(ln 1.5) ≈ 4.4573300

f(2) = 7√(ln 2) ≈ 5.8278823

f(2.5) = 7√(ln 2.5) ≈ 6.7006153

f(3) = 7√(ln 3) ≈ 7.3370295

f(3.5) = 7√(ln 3.5) ≈ 7.8348826

f(4) = 7√(ln 4) ≈ 8.2418702

Calculate the area of each trapezoid.

T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325

T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031

T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244

T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112

T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780

T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882

The total area is therefore:

T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882

T = 18.139337

b) Evaluate the function at the midpoint of each interval.

f(1.25) = 7√(ln 1.25) ≈ 3.3066651

f(1.75) = 7√(ln 1.75) ≈ 5.2365230

f(2.25) = 7√(ln 2.25) ≈ 6.3036165

f(2.75) = 7√(ln 2.75) ≈ 7.0404861

f(3.25) = 7√(ln 3.25) ≈ 7.5996115

f(3.75) = 7√(ln 3.75) ≈ 8.0477348

Calculate the area of each rectangle.

M₁ = (3.3066651) (1/2) = 1.6533325

M₂ = (5.2365230) (1/2) = 2.6182615

M₃ = (6.3036165) (1/2) = 3.1518082

M₄ = (7.0404861) (1/2) = 3.5202431

M₅ = (7.5996115) (1/2) = 3.7998057

M₆ = (8.0477348) (1/2) = 4.0238674

The total area is therefore:

M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674

M = 18.767318

c) Simpson's rule can be calculated as:

S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]

S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]

S₆ = 18.423834

Answer:

   3x^2

 ———

 28

Step-by-step explanation:

1 .             x^2

Simplify   ——

           7

2.  3   x2

 — • ——

 4   7

3.            3

Simplify   —

           4

4.3   x2

 — • ——

 4   7

The difference in speed is 45-30 = 5 centimeters per second.

5 centimeters per second x 3 seconds = 15 centimeters.

They were 15 centimeters apart

Answer: I tried and I think the answer is a

Step-by-step explanation:

Answer:

2 cartons of eggs and 3 bags of English muffins

Step-by-step explanation:

2x12 = 24 and 3x8= 24

Answer:

x^2-y^2

Step-by-step explanation:

positive x * positive x = x^2

positive y * negative y = -y^2

Answer:

[tex]x^{2}[/tex]-[tex]y^{2}[/tex]

Step-by-step explanation:

(x+y)(x-y)

Use Foil

x(x-y)=[tex]x^{2}[/tex]-xy

y(x-y)=xy-[tex]y^{2}[/tex]

Combine

[tex]x^{2}[/tex]-xy+xy-[tex]y^{2}[/tex]

-xy and xy cancel each other out so our final answer is

[tex]x^{2}[/tex]-[tex]y^{2}[/tex]

The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin

Answer: (-1,7)

The coordinates of the image of the point P(7, 1) after 90° rotation about the origin is P'(-1, 7).

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

One of the transformation is Rotation.

Rotation is the type of transformation where the image is the resultant of transformation made by rotation to a certain degree.

A point (x, y) when rotated 90° counterclockwise results in another point (-y, x).

Here the given point is (7, 1).

After rotation through 90°, the point is (-1, 7).

Hence the image has the coordinates (-1, 7).

To learn more about Transformations, click on the link given below :

https://brainly.com/question/18065245

#SPJ2

Answer:

Graphs

Step-by-step explanation:

Answer:

1000 (one thousand)

Step-by-step explanation:

Answer:

5,000,000/5,000 = 1000

Step-by-step explanation:

Take 5 million and divide by 5 thousand like so and you'll come out with 1000. Also, this is an easy one to plug into a calculator.

Answer: 315 miles

Step-by-step explanation:

let onward speed = x mph, then distance = 7x

return speed = (x+18) mph, (same) distance = 5(x+18)

equating the two,

7x = 5(x+18)

2x = 90 ==> x = 45 mph

so distance = 7*45 = 315 miles

Answer:

(x - 1) (x + 3) (x + 5)

Step-by-step explanation:

The constant at the end (-15) can only be factored into 1, 3 and 5, assuming integers. Then, you only have to choose which one of these gets the minus sign.

I'm not sure if this approach will work in general, but it works for this one.

Answer:

60%

Step-by-step explanation:

NWEA2020 Mom Helped Meh

Answer:

60%

Step-by-step explanation:

Im good with a scientific calulator.

Answer:

False

Step-by-step explanation:

Absolute value is always positive no matter what you do.

I have attached an image for you so you can understand it better.

Hope I helped!

Answer:

-27 - 6y

Step-by-step explanation:

Answer:

C and F

Step-by-step explanation:

Those two just work, that simple

Answer:

5x - 11

Step-by-step explanation:

Step 1: Write out expression

2(x + 8) + 3(x - 9)

Step 2: Distribute

2x + 16 + 3x - 27

Step 3: Combine like terms (x)

5x + 16 - 27

Step 4: Combine like terms (constants)

5x - 11

Answer:

First question is B

Second question is also B :)

Step-by-step explanation:

If the function is translated 2 units down and 1 unit to the left. Then the function will be f(x) = |x + 1| - 2

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function is f(x) = |x|.

If the function is translated 2 units down and 1 unit to the left. Then the function will be

f(x) = |x + 1| - 2

The graph is shown below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

9 meters

Step-by-step explanation:

189 divided by 21 is 9 (:

Answer:

9m

Step-by-step explanation:

To find the width of a rectangle given area and length all you need to do is take your area (189 in this case) and divide it by your length. (In this case 21.)

Here's our equation:

189 ÷ 21 = 9

(remember the meters squared is important if you're finding area. This doesn't apply in our case as we're only finding the width. To be more clear the "m² and/or m^2")

9m is your answer.

Hope this helps and have a nice day!

Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%

Step-by-step explanation:

8% of 5000 = 400

6% of 200 = 120

Answer:

c-179.18

Step-by-step explanation:

hope this helps

Answer:555

Step-by-step explanation:558 +3