Answer:
[tex]\displaystyle \frac{x^2+3x+2}{1-x}<0[/tex]
Step-by-step explanation:
Rational Inequality
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
[tex](x-a)(x-b)<0[/tex]
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
[tex](x+2)(x+1)<0[/tex]
Operating:
[tex]x^2+3x+2<0[/tex]
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
[tex]\mathbf{\displaystyle \frac{x^2+3x+2}{1-x}<0}[/tex]
The solution to the inequality (-2,-1)U(1, ∞) is (-2, ∞)
Inequality
An inequality is an expression used to show the relationship between two or more numbers and variables.
A rational inequality is an inequality that contains a rational expression.
Given the inequality (-2,-1)U(1, ∞).
The solution to the inequality is (-2, ∞)
Find out more about Inequality at: https://brainly.com/question/24372553
A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is A'Reana's weekly allowance?
Given :
During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50.
To Find :
How much is Reana's weekly allowance.
Solution :
Let, allowance is x.
Then by given conditions :
37.50 = x - ( 10 + x/2 + 7.50 )
37.50 = x/2 - 17.50
x/2 = 55
x = $110
Therefore, Reana's weekly allowance is $110.
Hence, this is the required solution.
Thurman put $90 into an account that pays 4.4% interest, compounded quarterly. According to the rule of 72, approximately how long will it take for his money to double?
Answer:
Number of Years to Double= 15.65
Step-by-step explanation:
Giving the following information:
Interest rate= 0.044/4= 0.011
Annual compound interet rate= (1.011^4) - 1= 0.4473
The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/4.473
Number of Years to Double= 15.65
Answer: 16.4
Step-by-step explanation: A p a x
through: (-1.-5). slope - 3 what is the slope intercept form of the equation
Answer:
y= -3x+2
Step-by-step explanation:
[tex]y - ( - 5) = - 3(x - ( - 1)) \\ y + 5 = - 3x - 3 \\ y = - 3x + 2[/tex]
Please help me ): it's not that hard
Answer:
5<14
Step-by-step explanation:
Find the composite function (please help)
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Composite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
Step 2: Find Composite Function
Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8Evaluate: (f o h)(x) = 2(12 - 5x) + 8Distribute 2: (f o h)(x) = 24 - 10x + 8Combine like terms: (f o h)(x) = -10x + 32And we have our final answer!
Cooper took a math quiz last week. There were 76 problems on the quiz and Cooper answered 75% of them correctly. How many problems did Cooper get correct?
Answer:
57 problems
Step-by-step explanation:
Total number of problems = 76
Percentage of problems answered correctly = 75%
The number of problems Cooper got correctly =
75% of 76
= 75/100 × 76
= 57 problems
Cooper got 57 problem correctly
CAN SOMEONE HELP WITH THIS HELP ME PUT IT IN ORDER
Answer:
A then B then C (smallest)
Step-by-step explanation:
Bigger side bigger angle across from it
In a certain year, according to a federal agency, the median net worth of people under age 35 was $13,900. The median net worth of those from 35 to 44 was $69,600. Round to the nearest whole number.
Part 1 out of 2
About how many times as great was the net worth of those from 35 to 44 as compared to those under 35?
The net worth of those from 35 to 44 was about
times greater than those under 35.
tel now
Answer:
The net worth of those from 35 to 44 was about 5 times greater than those under 35.
Step-by-step explanation:
69,600 divided by 13,900 is around 5.
A tennis racket costs $100 and is 30% off right now at
Sports Academy. The sales tax is 5.5%. What is the final
cost of the tennis racket?
Help :)
Answer:
73.85
Step-by-step explanation:
30% off of 100 is 30$
100-30=70
5.5% of 70 is 3.85
70+3.85=73.85
Find the surface area of the two following figures. Show all your work.
Answer:
First shape: 366 in^2
Second shape: 376 in^2
Pretty sure these are correct, hope this helps!
PLEASE HELP FAST!!!!! ILL MARK BRAINLIEST!!!!!
Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for
babysitting. She wants to earn at least $80 this week. The linear inequality shown in the
graph represents this situation, where x is the number of hours she works at the grocery
store and y is the number of hours she babysits. Which ordered pair is a solution of the
linear inequality?
Weekly Earnings of
at Least $80
10
8
6
Time Babysitting (W
4
X
2
6
8
10
4
Time Worked at
Grocery Store (h)
O (2,7)
O (3,6)
O (8,3)
(6,2)
Answer:
c
Step-cby-step explanation:
hope it helps give me crown pls
The ordered pair is a solution of the linear inequality would be; (8,3)
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We are given that Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for babysitting. She wants to earn at least $80 this week.
Let x is the number of hours she works at the grocery store and y is the number of hours she babysits.
The linear inequality shown in the graph represents this situation as;
10x + 8y ≥ 80
Therefore, the ordered pair is a solution of the linear inequality would be;
(8,3)
Learn more about inequality ;
brainly.com/question/14164153
#SPJ2
What is the volume of the box when x=6
The volume of the box is 216 units
what is 84×3(45+2×4÷6)90
Answer:
1050840
Step-by-step explanation:
PEMDAS
multiply 2 and 4 and then divide by 6: 1.3 and then add 45: 46.3
then multiply 46.3 and 90: 4167. Then multiply 84 and 3: 252. Then multiply 4167 and 252: 1050840
Nathan walked 10/10 of a mile and sarah walked 19/20 of a mile.who walked a greater distance?
Answer:
Nathan
Step-by-step explanation:
Select the correct answer.
Factor each polynomial function. Based on these factors, which polynomial's graph crosses the x-axis at only one point?
Answer: f(x)=x^3-7x^2+3x-21
Step-by-step explanation: I took the test
Answer:
The correct answer is:
f(x)=x^2-7x^2+3x-21
Step-by-step explanation:
I got it right on the Edmentum test.
Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x.
Given f(x)=2^x and g(x)=f(x-2)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.
Answer:
4.3
Step-by-step explanation:
Answer:
4.3 would be your scientific answer
Step-by-step explanation:
:) let me know if i help if not ill give you your points back
Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection. What is the total number of action figures in Savannah's collection?
Answer:
She has a total of 300 action figures.
Step-by-step explanation:
19 : 100 = 57 : x
x = 100/19 * 57
x = 300
A class of 25 students went to a zoo.The total admission cost for the 25 students was $56.25.The admission cost was the same for each student. What is the admission cost for 1 student
Answer:
2.25USD$ Per Student
Step-by-step explanation:
Please mark me brainliest :) I need it to rank up :)
PLEASE HELP ME!!!!!!
Answer:multiply 470 by 3
Step-by-step explanation:
Since the rate has been solved and it is 470 you multiply 470 by 3 to find out how far it traveled in 3 hours.
Answer:
3rd choice
Step-by-step explanation:
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?
Group of answer choices
1.Joan has too many squares for a 9-foot-by-9-foot quilt and not enough squares for a 10-foot-by-10-foot quilt.
2.Joan has too many squares for a 10-foot-by-10-foot quilt and not enough squares for an 11- foot-by-11-foot quilt.
3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.
4.Joan has too many squares for a 12-foot-by-12-foot quilt and not enough squares for a 13-foot-by-13-foot quilt.
Answer:
3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.
Step-by-step explanation:
Given that:
Joan sewed 115 fabrics for her new quilt and each fabric square was 12 by 12 inches, suppose no fabric square was cut or folded, the largest quilt Joan could make was an 11-foot-by-11-foot quilt but not enough squares for a 12- foot-by-12-foot quilt.
Find the values of the variables.
X = ____.
Y = ____.
Please help! I’ll give brainliest to whoever answers first!
Answer:
x = 16 y = 22.627 (or 16[tex]\sqrt{2[/tex])
Step-by-step explanation:
cos(45) = 16/y
y = 16/cos(45)
y = 22.627
tan(45) = 16/x
x = 16/tan(45)
x = 16
*this can also be found because we know this is a right triangle with two angles of 45 degrees. This means that both sides will be equal so x will be 16 and the diagonal will be 16 root 2 (22.627)
During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.
Answer:
0.75 inches of snow
Step-by-step explanation:
During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.
12 hours = 9 inches of snow
1 hour = x
Cross Multiply
12 hours × x = 1 hour × 9 inches
x = 9/12
x = 0.75 inches
Therefore, 0.75 inches of snow fell at each hour.
Please help!!
31=x/3+10
Answer:
403
Step-by-step explanation:
31 = x/3 + 10
31 = (x + 30)/3
93 = x + 30
x = 93 - 30
x = 63
I need help with #3, I'll mark brainliest!
Answer:
Step-by-step explanation:
285
Answer:
Company P's total cost is $285
Step-by-step explanation:
Graphed rates of changes and the lowest point was (2375, 285).
What is 6,384 times 745
Answer:
4756080
Step-by-step explanation:
I hope this helps you
Need help ASAP! Anyone know?
Answer: x= 29°
Step-by-step explanation: Add angles D and C. Subtract from 180.
58/2 = 29
HELP! What is the solution to the following system of equations?
Answer:
it is 2,4
Step-by-step explanation:
The point that they meet is 2,4 . It means X+ is 2 and Y+ is 4 .
You can write a as their meet point . you should answer like this a(2,4) .
Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? 25 ÷ 5 The estimated quotient is
Answer:
The quotient is 6.
Step-by-step explanation:
Given two fractions are:
[tex]29\dfrac{1}{5}[/tex]
and
[tex]4\dfrac{6}7[/tex]
To find:
The quotient of
[tex]29\dfrac{1}{5}\div 4\dfrac{6}7[/tex]
Solution:
Formula to convert mixed fraction to a fraction:
[tex]p\dfrac{q}{r} = \dfrac{p\times r+q}{r}[/tex]
Using the above formula to rewrite the given mixed fractions:
[tex]29\dfrac{1}{5}[/tex] can be written as:
[tex]\dfrac{29\times 5+1}5\\\Rightarrow \dfrac{146}{5}[/tex]
[tex]4\dfrac{6}7[/tex] can be written as:
[tex]\dfrac{4\times 7+6}{7}\\\Rightarrow \dfrac{34}{7}[/tex]
Now dividing:
[tex]\dfrac{\frac{146}{5}}{\frac{34}{7}}\\\Rightarrow \dfrac{146\times 7}{5\times 34}\\\Rightarrow \approx 6[/tex]
Therefore the quotient is 6.
Answer:
Round the numbers to estimate the quotient.
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Which numbers should be used?
✔ 29
÷
✔ 5
The estimated quotient is
✔ 5 4/5
Step-by-step explanation:
I NEED HELP ASAP!!! PLEASE AND THANK YOU!! WILL MARK BRAINLIEST!!!!
Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games.
y = 40x − 25 and y = 35x − 5
(x = total games and y = amount earned)
Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?
Yes, Beth is correct.
No. She did not find the correct intersection point.
No. She only estimated and did not find the exact values.
No. She interpreted the solution of (4, 135) incorrectly.
Answer:d
Step-by-step explanation:
Should be 4 games not 135
Answer:
D. No. She interpreted the solution of (4, 135) incorrectly.
Step-by-step explanation:
Three friends bought 4, 6, and 8 books.
This table shows the cost of the books.
Number of Books 4 6 8
Cost ($) 30 45 60
What is the constant of proportionality?
A. 2
B. 7.5
C. 15
D. 30
Answer:
B:7.5
Step-by-step explanation:
since 4 goes with 30, 6 goes with 45, and 8 goes with 60, you can see that 60-45 is 15 and 45-30 is 15 as well so the constant is 15, but the number of books is going up by two so the constant there is 2. So divide 15 by 2 and the answer would be C: 7.5.
Answer:
B. 7.5
Step-by-step explanation:
I just took the test on k-12 and it was correct.