Mathematics College

Solve the inequality. Define the solution set using numbers and symbols.

[tex]\frac{x+17}{x^2 +3} \geq 4[/tex]

Answers

Answer 1

(x + 17) / (x ² + 3) ≥ 4

x + 17 ≥ 4 (x ² + 3)

4x ² - x - 5 ≤ 0

(4x - 5) (x + 1) ≤ 0

The left side is equal to 0 when either

4x - 5 = 0   or   x + 1 = 0

x = 5/4   or   x = -1

For x < -1, we have both x + 1 < 0 and 4x - 5 < 0, so their product is positive and there are no solutions to the inequality in this interval.

For -1 < x < 5/4, we have x + 1 > 0 and 4x - 5 < 0, so their product is negative.

For x > 5/4, we have both x + 1 > 0 and 4x - 5 > 0, giving a positive product and thus no additional solutions.

The solution set is then the second interval, but including the endpoints since that makes the expression on the left equal to 0:

-1 ≤ x ≤ 5/4

Related Questions

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can take 36 pictures in 4.5 seconds. Evaluate the expression (36 divided by 4.5)/(24 divided by 3.75) to find out how many times faster your friend's camera is than your camera. *

Answers

Answer:

1.25

Step-by-step explanation:

use the equation given

Brianna makes a model of the Eiffel Tower for a school project. Her model is 25 centimeters wide at the bottom
If Brianna used a scale of 1 centimeter for every 5 meters, how vide is the actual Efe Towet?

Answers

The actual Eiffel Tower is 125 meters wide .

What is Multiplication?

Along with addition, subtraction, and division, multiplication is one of the four basic arithmetic operations. In mathematics, multiplication is the repeated addition of groups of equal size.

Here given, Brianna makes a model of the Eiffel Tower for a school project.

It is also given that the model is 25 cm wide at the bottom and Brianna used a scale of 1 centimeter for every 5 meters.

By multiplication, we can find the actual length of Eiffel tower

Here 1 centimeter for every 5 meters.

So, 25 centimeter means (5×25) = 125 meters.

Therefore, the actual length of the Eiffel tower is 125 meters.

Learn more about multiplication here,

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"Correct question is "Brianna makes a model of the Eiffel Tower for a school project. Her model is 25 centimeters wide at the bottom

If Brianna used a scale of 1 centimeter for every 5 meters, how wide is the actual Eiffel Tower?"

Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?

A.
4m + 15 ≥ 35

B.
4m + 15 > 35

C.
4m – 15 ≥ 35

D.
4m + 15 ≤ 35

Answers

Answer:

A

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is

15 + 4m ≥ 35

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

We have,

His goal for this week is to run a minimum of 35 miles.

So far this week, he has already run 15 miles.

The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.

15 + 4m ≥ 35

4m = number of m miles run in 4 days.

Thus,

The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is

15 + 4m ≥ 35

Learn more about inequalities here:

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x = -11 + 7y
5x + 2y = -18

Answers

Answer:

x = -4

y = 1

(-4,1)

Step-by-step explanation:

x = -11 +7y

5x + 2y = -18

This is a Substitution problem, so you put x = -11+7y into 5x+2y = -18

5(-11 +7y)+2y = -18

5(-11) = -55

5(+7y) = 35y

-55+35y+2y = -18

Now you add 35y and 2y which gives you 37y

-55+37y = -18

Now you add +55 from -55 and -18

37y = 37

You divide each side by 37 so that y = 1

Now you plug y(1) into the equation x = -11+7y

x = -11+7(1)

-11+7 = -4

x = -4

simplify \sqrt{25a^2}

Answers

Answer:

Step-by-step explanation:

Sqrt(25a^2)

Sqrt((5a)^2)

5a

What is the following product?​

Answers

Answer:

C. [tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = 2.749459274

[tex]\sqrt[6]{432}[/tex] = 2.749459274

[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = [tex]\sqrt[6]{432}[/tex]

A field hockey field is rectangular. Its width is 54.88 meters, and its perimeter is 289.76 meters. Find the length of the field.

Answers

Answer:

90 PLEASE MARK ME BRAINLLIEST

Step-by-step explanation:

289.76-54.88-54.88=180/2=90

Perimeter is the sum of the length of the sides used to make the given figure. The length of the field is 90 meters.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

Given that the width of the field is 54.88 meters and the perimeter of the field is 289.76 meters. Therefore, we can write the perimeter as,

Perimeter = 2(Length + Width)

289.76 meters = 2(Length + 54.88 meters)

289.76meters / 2 = Length + 54.88 meters

144.88metes = Length + 54.88 meters

Length = 144.88 meters - 54.88 meters

Length = 90 meters

Hence, the length of the field is 90 meters.

Learn more about perimeter here:

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what is the value of the expression 9+n/3-6 when n= 12

Answers

Answer:

The answer is 7.

Step-by-step explanation:

I have used an Online Algebra calculator to check my answer with so this answer is 100% correct.

PLEASE MARK BRAINLIEST.(THE CROWN ON THE LOWER RIGHT- HAND SIDE OF ANSWER.)

I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Congruency,

Two angles and one side, so the answer is

=> AAS Congruency Criterion.

6 x + 11 y = 29
x + 2 y = 5​

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

x= 5-2y

6x + 11y = 29

6( 5 - 2y ) + 11y = 29

30 - 12y + 11 y = 29

-y = -1

y = 1

x + 2y = 5

x = 5 - 2y

x = 5 - 2

x = 3

B gn nonnegotiable BMI Brock chambers k cancel j click chilling connect m BLM

Answers

Answer:

what?

Step-by-step explanation:

free points...thanks?

Evaluate: (35 + 25)2 + 3

Answers

Answer:

123

Step-by-step explanation:

Answer:

(35+25)2+3

=(60)2+3

=120+3

=123

GUYS WHAT'S EBO ISHEK FROM IS QHAT​

Answers

Answer: yes anazing splenddi

Step-by-step explanation:

TSolve the system of equations below by graphing. What is the solution rounded to the nearest tenth? (–1.1, 3.2) (0.2, 2.8) (0.7, –4.2) (2.7, 0.1)

Answers

Answer:  Answer:The solution to the given system of equations is (2.8,0.1)

Step-by-step explanation: I got it correct on the Unit Test

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

First to answer get brainliest

Answers

A. $105

B. $105.63

C. $105.66

D. $105.88

Answers

Answer:

C 105.66

Step-by-step explanation:

Answer:

105.66

Step-by-step explanation:

help me please someone i’m stressing out rn :(

Answers

Answer:

Step-by-step explanation:

b i hope thate helps

Quadrilaterals and other polygons

Answers

Answer:

B

Step-by-step explanation:

I got B too and I got it right on my test

There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the math team?

Answers

I am not sure but I will try
8:5

Answer:

Step-by-step explanation:

5:8

f(x)=-2x+4
what is x when f(x)=-8

Answers

f(-8)=-2(-8)+4
f(-8)=16+4
f(-8)=20

Answer:

20

Step-by-step explanation:

f(x) = -2 (x) + 4 (substitute x for the given value)

f(x) = -2 (-8) + 4 (multiply -2 and -8)

f(x) = 16 +4 (add 16 and 4)

f = 20

WILL MARK BRAINLIST!!!

Sabrina's average speed was 8 miles per hour during the first half of her bike ride. She increased her average speed to 16 miles per hour during the second half of her bike ride. What percentage represents the increase in Sabrina's average speed during her bike ride?

A. 50%

B. 80%

C. 100%

D. 200%​

Answers

D. 200%

if 8 is a whole (100%) and 16 is twice of that, you can conclude that her speed increased by 200%

x+2/4=3/8 Solve for x pls!!

Answers

Answer:

x= [tex]\frac{1}{2}[/tex] or 0.5

Step-by-step explanation:

Answer:

x = - 1/8 (Decimal Form: -0.125)

Step-by-step explanation:

1/2=2/4=4/8 so subtract 1/8 to get 3/8

Which of the following equations is not a true statement?

-5 + 6 = -1
7 - (-3) = 10
-9 - (-4) = -5
-7 - 10 = -17
PLEASE ANSWER FAST IM IN A HURRY

Answers

Answer: -5 + 6 = -1
Explanation: The correct answer for that equation should be 1 not -1

Answer:

It's not correct statement

Step-by-step explanation:

-5 + 6 = -1

PLZ HELP ME !!!!

Evaluate cot 45° without using a calculator by using ratios in a reference triangle. Will mark Brainliest.

Answers

Answer:

90°

BC ITS CORRECT

Step-by-step explanation:

HOPE THIS HELPS

A scooter travels 30 feet in 2 seconds at a constant speed.
The distance the scooter travels in 1 second is
feet. The distance the scooter travels in 3 seconds is
feet. The distance the scooter travels in 4 second is
feet. The distance the scooter travels in 5 second is
feet.

Answers

Answer:

The scooter travels 15 feet in 1 second

The scooter travels 45 feet in 3 seconds

The scooter travels 60 feet in 4 seconds

The scooter travels 75 feet in 5 seconds

Step-by-step explanation:

First, let's find the number of feet the scooter travels in 1 second

(30 : 2) ÷ 2 = 15 : 1

Now that we have the unit rate, we can easily find the answers to the other questions.

(15 : 1) x 3 = 45 : 3

(15 : 1) x 4 = 60 : 4

(15 : 1) x 5 = 75 : 5

I Hope That This Helps! :)

please help me !!!! ill give brainly

Answers

Answer:

The answer is choices A.

Solutions:

m - 6 1/4 = 9 3/8

-3 1/8 - 6 1/4 = 9 3/8

Which of the following uses the reciprocal property to rewrite
16/24 = 56/x?

1: 24/16 = x/56
2: 24/x = 56/24
3: 24/16 = 56/x
4: 16/24 = x/56​

Answers

Answer:

1

Step-by-step explanation:

All you do is flip the numbers and you get 24/16 = x/56

Hope I helped :)

HELLPP PLEASE

After becoming sick, a patient sees a doctor who determines the most likely cause is an allergic
reaction and prescribes an antihistamine. The patient returns home and stops burning candles and
incense for the next week while taking the medication. By the end of the week, the patient is feeling
better and is telling all his friends how wonderful the medication was at relieving his symptoms. This
is an example of

1. confounding, as there is no way to tell whether it was the medication that alleviated his
symptoms

2. convenience sampling since he only stopped burning candles and incense because it was easy

3.a double-blind experiment since neither he nor the doctor really knew what was wrong

4. bias since he wanted to feel better

Answers

Answer:

I think it is 1, but I am not 100%

Step-by-step explanation:

Since he stopped the meds at the same time he stopped what couldve been his cousin his reaction to begin with, you can prove if it was medication only.  

Andrew makes $1 for
every bag of cans he
recycles. He has $2 in
his piggy bank. What
equation represents
the amount of money
Andrew has in his
account from recycling
bags of cans?

Answers

Answer:

1 + $1 = 2

Step-by-step explanation:

I think

1x = 2
It should be along the lines of this since the expression doesn’t specify how many bags he recycled. I’m not entirely sure in my answer but I hope it helped you somewhat.

Use the distributive property to write an expression that is equivalent to 8(7+x).

Answers

Answer:

56+8x

Step-by-step explanation:

Answer: 56 + 8x

Explanation: Multiply the 8 by the 7, then the 8 by the x. (8)(7) + (8)(x) Therefore the answer is 56 + 8x. This is called distributive property

Hope this helps! :)

12-5=88=5-12 emilyscarlett

Answers

Answer:

thx for da points :D

Step-by-step explanation:

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