If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

Answers

Answer 1

Answer: x - 7

Step-by-step explanation:

f(x) = -3x - 5

g(x) = 4x - 2

Solve:

f(x) + g(x)

= -3x - 5 + 4x - 2

= x - 5 - 2

= x - 7


Related Questions

Given: {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function? Explain.

Answers

Answer:

No

Step-by-step explanation:

(-1,2) and (0,2) have the same y value. Functions cannot share the same y value

The relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.

Given that,  {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function is to be specified.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the relation  {(−2, 3), (−1, 2), (0, 2), (−2, 9)}
(−2, 3), (−2, 9) are two pairs that show two images of one pre-image that why it is not a  function.

Thus, the relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.

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If we have an effect, would error variance go away?

Answers

No, the presence of an effect does not necessarily imply that error variance will go away.

Why could not error variance go away?

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Where is the head-quarter of Microsoft Corporation?

Answers

Answer:

A straight angle.

Step-by-step explanation:

Answer:

The Headquater of Microsoft Corporation is somewhere in the Redmond Area in Washington, USA\(.\)

Explore more:

Do you know something more about Microsofts?

The founder of Microsoft is Bill Gates and Paul Allen. With this, Bill Gates became the youngest billionaire of all time.

Hope you have seen the logo. It was designed by Paul Allen.

The 'O' is known as Blibbet in the logo of Microsoft.

As the name says, Microsoft is a leading global company made for developing softwares and applications.

a school cafeteria wants to find out what combinations of food and beverage students are ordering. the results are represented in the two-way table below: food pizza hamburger salad water 11 7 23 beverage slurpee 18 19 5 soda 28 12 14 of all the students, what is the probability that a student ordered a hamburger and a slurpee?

Answers

0.5 is the probability that a student ordered a hamburger and a slurpee, in the school cafeteria where students are ordering food and beverage.

Marginal total of hamburger=7+19+12= 38

Total no. of students who ordered hamburger and slurpee= 19

Total 157 students out of which 38  ordered a hamburger.

We can see that 28 of the total students order pizza as well as soda.

The probability that a student also ordered a soda is given as =

Number of Students who ordered hamburger and slurpee/Total number of students who ordered a hamburger

=19/38

=0.5

The probability that a student ordered a hamburger and a slurpee is 0.5.

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Evaluate

4 / 5/6
Give your answer as a mixed number in its simplest form.

Answers

If we evaluation the expression 4 ÷ 5/6, the result is  \(4\frac{4}{5}\).

How to evaluate an expression?

Given that;

4 ÷ 5/6Evaluation = ?

4 ÷ 5/6

4/1 ÷ 5/6

First, we flip the numerator and denominator of the second fraction and changing the operation to multiplication

4/1 × 6/5

( 4 × 6 ) / ( 1 × 5 )

24 / 5

\(4\frac{4}{5}\)

Therefore, if we evaluation the expression 4 ÷ 5/6, the result is  \(4\frac{4}{5}\).

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Lila orders 5 dozen chocolate-covered strawberries. There is an $8.00 shipping fee, and the total cost is $85.50.
Explain the steps used to find an arithmetic solution to this problem, as well as the steps used to find an algebraic solution to this problem.

How do they compare?

Answers

5 / 85.50 - 8.00 is the answer. 17.10 - 8.00 so in conclusion the answer is $9.10

What type of polynomial is P(X)=1-2x^2+3x+2x^5

Answers

That is a polynomial itself because it is more than a 3 terms. This terms include an operation to be classified as “term”

How long does it take a man to travel 6 km if his speed is 3 km/h?
PLEASE SHOW WORK!

Answers

Answer:

2 hours

Step-by-step explanation:

6/3=2

It would take him 2 hours.

6 km / 3km/h = 2 hours

hope this helped

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?

Answers

Answer:

y = -3

Step-by-step explanation:

Left and down are there for you to subtract and right and up are there for you to add.

Since you would need to get the y-coorindate, you would need to subtract 8 from 5 to get to -3.

Answer:

-3

Step-by-step explanation:

Hope it helps.

Jack has $65 to spend on art supplies. He needs to buy an easel that costs $18. He also wants to buy some canvases that cost $11 each
Which of the following inequalities represents the amount of money Jack can spend if he buys n canvases?
A:65 >(line underneath sign)18 + 11n
B:65 > 18 + 11n
С:65 < (line underneath sign) 18 + 11n
D:65 < 18 + 11n

Answers

Answer:

C

Step-by-step explanation:

Jack can spend less than or equal to. So C is correct.

The inequality represents the given situation is 65 ≥ 18 + 11n will be correct thus, option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Total budget = 65

Total spent = 18 + 11n  where n is the number of canvases.

Total spent ≤ total budget

18 + 11n ≤ 65

Hence "The inequality represents the given situation is 65 ≥ 18 + 11n will be correct".

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12-8 +4+ [(6+2) -3] 2х3

Answers

240

Step-by-step explanation:

12-8+4+[(6+2)-3]2×3

= 4+4[(6+2)-3]2×3

= 8[(6+2)-3]2×3

= 8[(8)-3]2×3

= 8[5]2×3

= 8[5]6

= 40(6)

= 240

A triangle has an area equal to:
3a2+2a-12
Which of the following could possibly be the height of the triangle?
1)3a-1
2)3a+2
3)a-1
4)4a

Answers

I think its D

Explanation:

Identify a pair of overlapping congruent triangles in the
diagram. Then use the given information to write a proof
to show that the triangles are congruent.
Proof
Given: AC = BC, LA = LB

Identify a pair of overlapping congruent triangles in thediagram. Then use the given information to write

Answers

Answer:

overlapping congruent triangles:

ΔACE ≅ ΔBCD

Proof:

given: AC ≅ BC, angle A ≅ angle B

angle ACB ≅ angle BCA by the reflexive property

ΔACE ≅ ΔBCD by the ASA triangle congruence property

Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector. Find BG ​

Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector.

Answers

Answer:

BG = 25

Step-by-step explanation:

The circumcentre is equally distant from the triangles 3 vertices, then

BG = CG = 25

Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k

Answers

Answer: Step-by-step explanation:

f(x)=ax^2→g(x)=a(x-h)^2+k

The horizontal shift depends on the value of h. The horizontal shift is described as:  

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Hence, in the question above, Horizontal Shift: Right h Units

The vertical shift depends on the value of k. The vertical shift is described as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Therefore, in the question above, Vertical Shift: Up k Units

 

The description of the transformation from the graph with respect to the given graph should be explained below.

Description of the transformation:

Since

\(f(x)=ax^2\)

And, \(g(x)=a(x-h)^2+k\)

Now here horizontal shift based on the value of h. The horizontal shift should be like

g(x)=f(x+h) - The graph should be shifted to the left h units.

And,

g(x)=f(x−h) - The graph should be shifted to the right h units.

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Paul works at a local grocery store. He worked 15 hours this week. Last week he worked 2.5 times as many hours as he worked this week. How many hours did Paul work last week?

Answers

Answer:

37.5 hours

Step-by-step explanation:

15 x2.5 = 37.5

Please help me✋............

Please help me............

Answers

Answer:

yes it is

Step-by-step explanation:

Subtracting a number is the same as adding its opposite (also called its additive inverse). To subtract you can rewrite the subtraction as adding the opposite and then use the rules for the addition of real numbers.

4
On a farm
the number of cows and the number of sheep are in the ratio 9:2
the number of sheep and the number of goats are in the ratio 8 : 2
There are 50 goats on the farm.
How many cows are there on the farm?

Answers

Answer:

900

Step-by-step explanation:

There are 50(8/2) = 200 sheep.

So, there are 200(9/2) = 900 cows.

I only have 10 minutes. Will give brainliest

I only have 10 minutes. Will give brainliest

Answers

The value of x for the length A'E' of the similar shape A'B'C'D'E' is equal to 6⅔.

What are similar shapes

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other.

The side A'E' corresponds to the side A'E' and also E'D' corresponds to the side ED so;

(7). A'E'/AE = E'D'/ED

x/10 = 6/9

x = (10 × 6)/9 {cross multiplication}

x = 20/3

x = 6⅔

Therefore, the value of x for the length A'E' of the similar shape A'B'C'D'E' is equal to 6⅔

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One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square units. Find the length of the longer base.

Answers

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

Which of the following statements should the salesperson use if he wished to ignore the objection?
a. "I think I might be able to explain that better to you after showing you this diagram."
b. "I think you have a point there; do you have any idea how we can improve that situation?"
c. "That's true. It does have a shorter shelf life, but that hasn't really been a problem. It is so popular it never gets to stay on the shelf that long anyway."
d. "Where did you hear that? Your source must have erroneous information."
e. "As I was saying, . . . "

Answers

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:

Answers

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Which of the following refers to the cost associated with getting a statement of the property value when buying a home? a. Appraisal b. Discount c. Inspection d. Origination.

Answers

The statement of the property value appraises or estimates the market value of the home.

Correct response:

A. AppraisalReasons

A statement of a property value is a document that details the worth of a

property.

It is a prerequisite to provide an estimate of a property such as a real

estate, during taxation, financing or sales listing.

The process of developing an idea of the market value of a house or real estate is known as land valuation, property valuation, or real estate appraisal.

Therefore, the term that refers to the cost associated with getting a statement of the property value when buying a home is option A. Appraisal

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The correct option for the given statement is Appraisal

Appraisal refers to the cost associated with getting a statement of the property value when buying a home.

What is appraisal?

An appraisal is a professional examination of real or personal property to determine its market value. An appraisal is an unbiased professional opinion of a home's value and is used whenever a mortgage is involved in buying, refinancing, or selling that property.The authorized appraiser must have a designation from a regulatory body governing the jurisdiction of the appraiser. Appraisals are typically used for insurance and taxation purposes or to determine a possible selling price for an item or property.

From the above definitions it is clear that Appraisal is known as the cost associated with getting a statement of the property value when buying a home. Hence the correct option is (A) Appraisal.

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Lisa also cleans windows on the weekend. She charges $10 a window plus a $5 flat supply fee, regardless of the size of the window. Write the total charge, c, of a cleaning job as a function of the number of windows (w).

Answers

Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

What was the steps to find this answer?

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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Which is the simplified form of the expression?

Which is the simplified form of the expression?

Answers

Yes, you are correct...! Happy to help

Can anyone find the perimeter of these

Can anyone find the perimeter of these

Answers

The perimeter of the triangles are 12m and 16.2m.

What is the perimeter?

Perimeter is a term used in geometry to refer to the total distance around the outside of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is commonly used to describe the "outer boundary" or "circumference" of a shape

According to the given information:

In the first triangle ABC, given that AB=5m and ∠B=53°.

By using trigonometric function,

sin 53° = \(\frac{opp}{hyp}\)

0.7986 = \(\frac{AC}{5}\)

AC = 3.993 ≈ 4

Cos 53° = \(\frac{adj}{hyp}\)

0.601 = \(\frac{CB}{5}\)

CB = 3.005 ≈ 3

Perimeter = 3+4+5 = 12m

In the second triangle ABC, given that AC=4.5m and ∠B=42°.

By using trigonometric function,

sin 42° = \(\frac{opp}{hyp}\)

0.6691 = \(\frac{4.5}{AB}\)

AB = 6.725 ≈ 6.7

cos 42° = \(\frac{BC}{AB}\)

0.7431 = \(\frac{BC}{6.7}\)

BC = 4.97 ≈ 5

Perimeter = 5+6.7+4.5 ≈ 16.2

The perimeter of the two triangles are 12m and 16.2m

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Jerry was working as a sacker at a grocery store where he made 9 dollars an hour. On Monday he worked 7 hours and on Tuesday he worked 2 hours. How much money did Jerry make in those 2 days?

Answers

Answer:

$252

Step-by-step explanation:

Answer:

81 dollars

Step-by-step explanation:

(7*9) + (2*9) = 81 dollars

11. Make Sense and Persevere The sum of four
consecutive integers is –18. What is the greatest
of these integers?

Answers

Answer:

-3

Step-by-step explanation:

4n+ 6 = -18

4n=-24

n = -6

-6,-5,-4,-3

largest is -3

Answer:

\(\displaystyle -3\)

Step-by-step explanation:

\(\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}\)

Hence, you have your answer.

I am joyous to assist you at any time.

Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.

Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.

Answers

Answer:

390 seniors

Step-by-step explanation:

13/20=.65

600x .65=390

390 would plan to go to college

PLEASE HELP ILL GIVE BRAINLIEST

PLEASE HELP ILL GIVE BRAINLIEST
PLEASE HELP ILL GIVE BRAINLIEST
PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

1) y\(\leq \)3/5x-5

2) y>2x+5

3) x<-5

4) y≥2/5x-2

5) y≤x-2

6) y>7/4x+2

7) y≤x

8) y≥-3x+4

9) y>-4

10) y>-x-4

11) y≥8/3x-4

12) y>3/2x-5

Step-by-step explanation:

So, you first need to identify the y-intercept, which is the constant in the inequality. Then, you would need to identify the slope of the line through rise over run. Finally, examine the shaded region to determine the inequality of the equation.

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