for the function R(x)= x+4/x-3, find the values of x that make the function less than or equal to 0

Answers

Answer 1

Answer:

-4[tex]\leq[/tex]x<3

Step-by-step explanation:

1)Break this into 2 case, equal to 0 and and less than 0.

2)The number equals zero if its numerator is 0 which happens when x=-4.

3) A fraction is less than 0 it is negative. Negative fractions are either +/- or -/+,  so we have two subcases.

3a) For +/- the numerator is positive when x>-4 and denominator is negative when x<3. Putting those two together we have -4<x<3.

3b)For -/+ the numerator is negative when x<-4 and the denominator is positive when x>3 however those two values don't overlap.

4) Putting this together we have -4[tex]\leq[/tex]x<3


Related Questions

a rectanglr has a perimeter of 18 cm. its length is 5 cm greater than its width. find the dimensions.

Answers

L=7 w=2

First write an equation to find the dimensions. You know l=5+w and p=18. Using this you can create the equation:
18=2(5+w)+2w

The 2s come from there being 2 sides that are the length and 2 sides that are the width.

Next solve for w. Distribute the 2, then add the common terms, next subtract the 10 and divide by 4.
18=10+2w+2w
18=10+4w
8=4w
W=2

Now that you have the width you can do one if two things to find the length. Either use the equation p=2l+2w or l=5+w

P=2l+2w
18=2l+2(2)
18=2l+4
14=2l
L7

L=5+w
L=5+2
L=7

i put brainliest now can u help?

Answers

Answer:

Check my previous answer but here you go:

Step-by-step explanation:

-Chetan K

NO LINKS OR ASSESSMENT!!

Part 3: Domain and Range of Graphs​

Answers

Domain is the set of input valuesRange is the set of output valueFunction is passes the vertical line test#7

Domain:

- 1 ≤ x < 3 or x∈ [-1, 3)

Range:

-4 < y < 4 or y ∈ (-4, 4)

Function:

N0- doesn't pass the vertical line test#8

Domain:

- 4 < x < 3 or x∈ (-4, 3)

Range:

-2 ≤ y < 4 or y ∈ [-2, 4)

Function:

YES - passes the vertical line test

how much do you need to substract from 41/6 to make 6

Answers

Answer:

5

Step-by-step explanation:

If is wrong i'm sorry

A spaceship travels a 5^2 miles per hour and traveled for 5^18 hours.
Select the answer that represents how many miles the space shop traveled.

A. 5^16
B. 5^9
C. 5^20
D. 5^36

Answers

Answer:

The answer is D) 5^36

18x2= 36

I needed a new TV. I have been looking at ads. I found one that was on sale, from $324.99 to $299.99. I know they are having a 20% off sale next week but if this is a better deal I want to take it! What percentage off is the TV?

Answers

Answer:

I mean its 20% off that means you spend less money so you should wait for the deal next week if you want to save more money.

Step-by-step explanation:

If the diameter of a circle is increased by 6 centimeters, what is the increase in the circumference of the circle?

Answers

Answer: 12[tex]\pi[/tex] cm

Step-by-step explanation:

If the diameter of a circle increased by 6 centimeters it would be 12[tex]\pi[/tex] cm   because you still need to multiply 12 and [tex]\pi[/tex] to get your answer for the increase of the circumference.

27=3 raised to power (2x_1)​

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\[/tex]

Bases are equal. So, compare powers

2x - 1 = 3

Add 1 to both sides,

2x = 3+1

2x = 4

Divide both sides by 2

x = 4/2

x = 2

Suppose that f(x) = 3x + 5 and g(x) = -2x + 15
A: Solve f(x)=0
B:Solve f(x) < 0
C:Graph y = f(x) and y = g(x) and label the point that represents the solution to the equation f(x) = g(x)


In parts a-f use the following figure (graph shown in picture)

A: Solve g(x) = 20
B:Solve g(x) = 60
C: Solve g(x) = 0
D:Solve g(x) > 20
E: Solve g(x) _< 60
F:Solve 0 < g(x) < 60

In parts A and B, use the following figure (graph shown in picture)

A:Solve the equation f(x) = g(x)
B: Solve the inequality g(x) < f(x) _< h(x)

Answers

Answer:

wait I am looking for solution don't report me

answer in this linkhttps://www.chegg.com/homework-help/questions-and-answers/1-suppose-f-x-3x-5-g-x-2x-15-solve-f-x-0-b-solve-f-x-0-c-solve-f-x-g-x--d-solve-f-x-g-x--e-q84252438

Find the measure of the missing angles.

Answers

Answer:

x=63º

y=27º

Step-by-step explanation:

x+27=90º

x=63

What is negative 12 minus negitive 5 in kcc

Answers

Answer:

-7

Step-by-step explanation:

The problem is asking:

What is -12-(-5)

Remember that two minuses right next to each other turn it into a plus.

Therefore,

-12-(-5) = -7

luz Maria has $15. She buys a ticket to a movie and a smoothie. How much money does she have left?
Ticket:$9.50
Popcorn:$4.50
Smoothie:$2.85

what is the solution to the problem? show the equations you used to solve the problems

Answers

Answer:

15-9.5-2.85=2.65

they have $2.65 left

Step-by-step explanation:

What fraction represents a repeated number?

Answers

Answer:

1/3

Step-by-step explanation:

pls mark me brainliest :))

please help with maths​

Answers

Answer:

a) Modal class: Most frequent ages which is 28 so the modal class is 45 <= x < 55

b) Total Frequency = 120

120 / 2 = 60

Find where 60 lies when we add the frequencies.

It lies 25 <= x < 35

This section is worth 5 points of 25 total.
Find the least common multiple. Drag the item from the item bank to its corresponding match.
ITEM BANK: Move to go
5, 15, and 35
drag and drop answer here
105
8, 12, and 22
126
drag and drop answer here
264
3,7, and 18
drag and drop answer here
42
5,6, and 7
drag and drop answer here
10
3,6, and 7
drag and drop answer here
ge 1

Answers

Answer:

23457385629865309259545935

Step-by-step explanation:

Based on the average predictions of 50 economists, the U.S. gross domestic product (GDP) will expand by 2.5% this year. Suppose the sample standard deviation of their predictions was 2%. At the 10% significance level, test if the mean forecast GDP of all economists is less than 3%.
a. Select the null and the alternative hypotheses.

multiple choice 1
H0: μ = 3; HA: μ ≠ 3
H0: μ ≤ 3; HA: μ > 3
H0: μ ≥ 3; HA: μ < 3


b. Calculate the value of test statistic. (Round final answer to 4 decimal places.)



c. Find the p-value.

multiple choice 2
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025
0.025 p-value < 0.05
0.05 p-value < 0.10


d. At the 10% significance level, can we conclude that the mean forecast GDP of all economists is less than 3%?

multiple choice 3
No, since we do not reject H0.
No, since we reject H0.
Yes, since we do not reject H0.
Yes, since we reject H0.

rev: 10_13_2020_QC_CS-234700, 11_27_2020_Q

Answers

The null and hypothesis test; test statistic and the conclusion of the hypothesis are :

[tex] H_{0} : \mu\geq 3 ; H_{1} : \mu < 3[/tex]

Test statistic = -1.7678

Pvalue < 0.05

Yes, since we reject H0

The hypothesis :

[tex] H_{0} : \mu \geq 3 [/tex]

[tex] H_{1} : \mu < 3 [/tex]

The test statistic :

[tex]\frac{\bar{x} - \mu}{\frac{σ}{\sqrt{n}}}[/tex]

Substituting the values into the equation :

[tex]\frac{2.5 - 3.0}{\frac{2}{\sqrt{50}}} = -1.7678[/tex]

The Pvalue, using a Pvalue calculator ; 1 - tailed ; 10% level of significance (0.10) = 0.038

Hence, Pvalue < 0.05

3.) At 10% level of significance ;

We compare the Pvalue and the α

α = 10% = 0.10

Since, Pvalue < α (0.038 < 0.10) ; then the result is significant.

Therefore, the result is significant at α = 0.10

Learn more : https://brainly.com/question/25279120

What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?

Answers

Answer:

-18, -13, -8, -3

Next 3 terms are 2,7,12

Step-by-step explanation:

-18 + 5 =-13

-13+5 =-8

-8+5 =-3

-3+5 =2

2+5 =7

7+5 =12

Answer:add 5 each time

Step-by-step explanation:

2,7,12

what is the opposite of division

Answers

Answer:

multiplication

Step-by-step explanation:

hope this helps you!

Answer:

fusion, unification,attachment, connection etc.

Calculate the % loss
Cost price of an article =$28
Selling price of the article=$21

Answers

The % loss of your problem is 25%

The loss in percentage is 25%.

Given that,

Cost price of an article      = $28

Selling price of the article = $21

We know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Now  loss can be calculated by subtracting selling price from  cost price,

Therefore,

28 - 21 = 7

Hence there are loss of $7 in business,

Now to calculate percentage loss,

Divide loss by cost price then multiply with 100,

Then,

⇒ (7/28)x100

⇒ 25%

Learn more about the percent visit:

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please could someone answer!!

Answers

Answer:

0.310973

Step-by-step explanation:

Find T4, given the recursive formula Tn+1=T, * -2, where T1=5 and n=1,2,3,...
O 40
0-3
0-80
O-40

Answers

Answer:

gggggggg

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Tₙ₊₁ = Tₙ x (-2)

T₁ = 5

T₂ = 5 x -2 = -10

T₃ = -10 x -2 = 20

T₄ = T₃ x -2 = 20 x -2 = - 40

square root of 1,728 ratinal or irratinal​

Answers

Answer:

41

Step-by-step explanation:

2)
Jeffrey used
sugar did Jeffrey use
og of his bag of sugar to make some casses and out his bag of sugar to make tuomies. Hon such of his bag of
A)
12/25
ng
11
2
12
3

Answers

I really don’t know but I need the points

I need help only answer if you’re 100 percent think it’s right

Answers

Answer:

5 7/10

Step-by-step explanation:

pls mark me brainliest :))

Answer: 5 7/10

Step-by-step explanation: There are 10 lines between 5 and 6. Each line represents a tenth. Point A is located on the 7th line meaning the fraction point A represents is 5 7/10.

Explain how you can find 5 x 7,303 using expanded form.

Answers

Answer:

10605

Step-by-step explanation:

Marcus has a part-time job at the water park. He makes between $66.89 and $72.37 a day. Which is a reasonable amount of money that Marcus makes for working 4 days a week for 9 weeks?
A.
$2,487
B.
$250
C.
$2,369
D.
$2,641

Answers

D is the closest to the real answer so its D!

Does -a ? = (-a)?? Explain why or why not.

Answers

I think this is referring to exponents? No these are not equivalent. Because in the order of operations, exponents are evaluated before multiplication and a minus sign is like multiplying by -1. But if you remember, parentheses are evaluated before exponents are. So if you have -a ^2, you would get a negative answer, because you square a before multiplying by -1. But if you have (-a)^2, you end up with a positive number, because -1^2 is 1. If the exponent is odd, though, then you would get the same answer regardless, because (for example) -1 ^3 is -1. Hope this makes sense, let me know if I can clarify further!

Explanation:

Always remember that variables have coefficients (x is the same as 1·x or 1x).

Raising a base to either an odd or even exponent has particular rules when it comes to signs:

If you raise -a² = -a² because a has a coefficient of - 1.  This implies that -a² = -1a². Now, raising -a³ (odd exponent) still results in -a³ because you're only raising the base, a, to its exponent, and it doesn't include its coefficient of -1.  Hence, -a³ = -1a³ = -a³.

Also, (-a²) = -a² because once again, you're only raising the base, a, and not its coefficient (even if both are inside the parenthesis).

It will be different if the base is raised as follows:  

(-a)² = a² because the coefficient, -1, is included within the parenthesis. It is the same as (-1a)² = 1a² or a².(-a)³ = -a³ or -1a³ because it is an odd exponent, and if you raise a negative base to an odd exponent results in a negative value of the base.

The key is that the exponent outside the parenthesis will affect both the coefficient and its base, such as (-a)².

Hope this makes complete sense.


2. Railyn is saving for a laptop computer. She already has
$800 saved and plans to save $50 a week from her baby
sitting money. If the laptop she wants costs $1,150, how
many weeks will it take her to save enough to buy it?
a. Define the variable and represent the situation with
an equation.

Answers

x = number of weeks which is some positive whole number

50x = amount saved after x weeks, when saving $50 per week

50x+800 = add on the 800 she already has

The expression 50x+800 is the total money saved. We set this equal to the 1150 to set up the equation we're after

Answer:  50x+800 = 1150

TWO DVDs and one videocassette tape cost $72. One DVD and two videocassette tapes
cost $57. What is the price of each item?

Answers

Answer:

dvd cost 36 dollars

casette costs 10.5 dollars

you buy almond milk in 1 gallon containers one portion of waffles requires 2.5 oz of almond milk how many persons can be made with one container?​

Answers

Answer:

51

Step-by-step explanation:

1 gallon = 128 ounces

128/2.5 = 51.2

51 portions

Yw :D

51 persons can be made with one container.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

1 gallon = 128 ounces

We have 2.5 oz of almond milk.

So, the number of person who can have it

=128/2.5

= 51.2

Learn more about unitary method here:

https://brainly.com/question/22056199

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