Given:
The compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].
To find:
The solution for the given compound inequality
Solution:
We have, compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].
For [tex]2x-3 < 7[/tex],
Add 3 on both sides.
[tex]2x < 7+3[/tex]
[tex]2x < 10[/tex]
Divide 2 on both sides.
[tex]x< 5[/tex] ...(i)
For [tex]5-x \leq 8[/tex],
Subtract 5 from both sides.
[tex]-x \leq 8-5[/tex]
[tex]-x \leq 3[/tex]
Divide both sides by -1. So, the sign of inequality is changed.
[tex]x \geq -3[/tex] ...(ii)
Using (i) and (ii), we get the solution of given compound inequality as
[tex]x \geq -3[/tex] and [tex]x< 5[/tex]
Therefore, the correct option is D.
The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2
Answer:
I think it's b I don't know for sure though
Step-by-step explanation:
I don't know for sure tho
Using inverse function concepts, the correct option is:
B. Domain: x < -2 Range: y> 3
--------------------------
The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.A similar problem is given at https://brainly.com/question/24603090
In 2016, the cost of 2 ounces of pure gold was $2,640. Determine the cost for 1, 3, and 4 ounces of gold.
19, 85, and 182 i am cool YEE YEE BRAINLYEEST PLES
Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
A. The function shown on the graph has a smaller rate of change and lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
C. The function shown on the graph has a greater rate of change and a higher starting point.
D. The function shown on the graph has a greater rate of change, but a lower starting point.
The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
What is the rate of change of function?The rate of change of function is the change in the value of the function with respect to x value.
rate of change of function f(x)= df(x)/dx= f'(x)
Here the function given in the question is y=2x-5
rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2
the starting point of the function f is y-intercept of the function.
the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
y= 2x-5
⇒y= 2*0-5
⇒y= -5
The starting point of function is -5.
Given the graph has slope = |y-intercept| / |x intercept|
= 4/1 =4
rate of change of graph = slope of graph= 4
similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
The y-intercept of the graph= the starting point of the graph= -5
Therefore the function in the graph has a higher rate of change as well as a higher starting point.
From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
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The Student Council at High School A held a Student Body President election. There are 940 students in enrolled and 625 students voted for a Student Body President. Approximately what percentage of the student body voted for Student Body President?
Answer:
66.49
Step-by-step explanation:
A coffee shop sold 72 large cups of coffee on Monday. Each large cup of coffee cost $4.35.
What was total cost of the large cups of coffee sold by the coffee shop on Monday?
Answer:
314 large cups
Step-by-step explanation:
72x4.35=313.2
Answer:
The total amount of Large coffee cups sold should equal to 313.2
Step-by-step explanation:
4.35 x 72 = 313.2
Write an algebraic expression to model the unknown number problem.
the product of a number and fifteen
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Which statements are true? Select that all apply.
You can replace ‘a number’ with a variable to represent an unknown value.
The product means the result of adding two numbers.
Product means the result of multiplying two numbers.
The coefficient is 15.
In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.
Answer:
A. You can replace ‘a number’ with a variable to represent an unknown value.
C. Product means the result of multiplying two numbers.
D. The coefficient is 15.
E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.
Step-by-step explanation:
EDGE 2020
The algebraic expression to model that "the product of a number and fifteen" is 15x, where x represents the unknown number. The statements A, C, and D are true.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The algebraic expression to model the unknown number problem "the product of a number and fifteen" is 15x, where x represents the unknown number.
From the given options, the following statements are true:
A. You can replace ‘a number’ with a variable to represent an unknown value.
C. Product means the result of multiplying two numbers.
D. The coefficient is 15.
B. is false because the product means the result of multiplying two numbers, not adding them.
E. is not necessarily true for all cases. The product of a number and a variable can be represented in different ways depending on the context and convention, such as using a dot or parentheses.
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What is 5-(n-4)=3(n+2)?
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
Which of the following quantities are inversely proportional? WILL GIVE BRAINIEST
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
Answer:
option 1
option 3
option 4
Step-by-step explanation:
Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.
option 1:
Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.
option 2:
The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.
option 3:
Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.
option 4:
If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.
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Helpppp meee with this math
Given the equation 2
Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)
Group of answer choices
x = 9, solution is not extraneous
x = 11, solution is extraneous
x = 9, solution is extraneous
x = 11, solution is not extraneous
Answer:
its none
Step-by-step explanation:
Aaron is baking cookies. The recipe uses 2 cups of flour to make 30 cookies. If Aaron wants to make 40 cookies, how many cups of flour should he use
plz answer asap.
Step-by-step explanation:
30 cookies = 2 cups
1 cookie = 2/30 cups = 1/15 cups
40 cookies = 1/15 × 40 = 8/3 cups
Solve for x^2+x=5 for the exact values of x.
Answer this please for 20 point PLEASE HURRY
Answer:
the picture is not clear if I zoom it it is blurr
Which situation can be represented by this equation?
170 +2.5x= 325 - 4x
Answer:
The second one is the answer.
Step-by-step explanation:
J originally contained 170 fl oz (170) +(2.5x) being filled at a rate of 2.5 fl oz per min. = T originally contained 325 fl oz of water (325) - (4x) drained at a rate of 4 fl oz per minute.
170 + 2.5x = 325 -4x
Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?
Plz Help me I don't understand-ish
Answer:
22%
Step-by-step explanation:
Answer:40
Step-by-step explanation:0.65 to percent
0.65x100=65%
which is 65/100x80=52 students choose mat
and 15/100x80=12 students choose science
so 40 more students choose math over science
6. Audrey's monthly car payment is $350 and
she needs to save at least $35 each month for
gas. If Audrey is paid $17.50 an hour, write
and solve an inequality to represent the
number of hours she must work in a month to
pay for her car payment and gas.
The number of hours she must work in a month to pay for her car payment and gas is 22 hours
What is inequality?inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.
$350 + $35 = $385
Audrey makes $17.50 an hour. Set up equality to find the number of hours she must work to pay for her car payment and gas.
17.50x > 385
(17.50x)/17.50 > 385/17.50
x > 22
Therefore, Audrey must work at least 22 hours to pay for her car payment and gas.
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BRAINLY
If an object is in motion and experiences no other forces it will stay in motion.
Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000
signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page
holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?
Answer:
P = t - f
Step-by-step explanation:
First we need to find how many pages in total she needs so 1,000/80 - 12.5 so 13 pages. Then 380/80 4.75 of a page filled so subtract that from 12.5 to get 8 pages left to fill.
let p = pages left to fill
let T = total pages needed
let F = pages already filled
x-8=-15 solve for x
Answer:
x=-7
Step-by-step explanation:
x-8=-15
add eight to both sides since it's negative
Pls help me! (10 points) thank yoy
the function is f(×) is square root
3x= 5+7x solve for x
Answer:
x = -5/4
Step-by-step explanation:
3x= 5+7x (subtract 7x from both sides)
3x - 7x = 5
-4x = 5 (divide both sides by -4)
x = 5/(-4)
x = -5/4
this is really annoying. the notification thing keeps saying that I got messages but when I click on it there's nothing. I've gone to my inbox and everything but nothing is there and idk what to do lol
Answer:
THAT HAPPENS TO EVERYONE I PROMISE SO DONT BE ANNOYED
Step-by-step explanation:
I GET ANNOYED THO TOO
Answer: ikrrrrrrr
Step-by-step explanation:
Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?
0
1
–13 + 4i
–13 - 4i
The value of n that makes the equation [tex](13 + 4i) + n = 0[/tex] true is (d) -13 - 4i.
The equation is given as:
[tex](13 + 4i) + n = 0[/tex]
Remove brackets
[tex]13 + 4i + n = 0[/tex]
Subtract 13 from both sides
[tex]13 - 13 + 4i + n = 0 - 13[/tex]
Evaluate like terms
[tex]4i + n = - 13[/tex]
Subtract 4i from both sides
[tex]4i -4i + n = - 13 -4i[/tex]
Evaluate like terms
[tex]n = - 13 -4i[/tex]
The equation cannot be further simplified.
Hence, the value of n is (d) -13 - 4i
Read more about complex equations at:
https://brainly.com/question/7130449
Answer:
first one D (–13 - 4i)
second B (1)
on egde
Step-by-step explanation:
question:
$9.27 for 48 oz
Answer:
what all does it ask
Step-by-step explanation:
Why is x = 6 a solution to the proportion StartFraction 192/36=32/x?
Answer:
C
Step-by-step explanation:
When you cross multiply 192 times 6 it equals 1152 and if you multiply 32 times 36 you get 1152 and 1152 is equal to 1152.
Simplify this radical.
84
O 2/21
O 2742
4v21
O 4/42
[tex] \sqrt{84} = 2 \sqrt{21} [/tex]
Thus the first one is the correct answer...
Done.....♥️♥️♥️♥️♥️
1 point
What is 3V45 expressed in simplest radical form?
a. 615
b. 2715
c. 9/5
d. 515
b
Ο Ο Ο Ο
d
Answer:
The simplest radical form is [tex]9\sqrt{5}[/tex] ⇒ (c)
Step-by-step explanation:
To simplify any square root;
Factorize the number under the root using prime numbersTake out the root any number repeated twice as one numberExamples:
1. Simplify [tex]\sqrt{8}[/tex]
factorize 8 using prime numbers
8 = 2 × 2 × 2, then [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]
Take two of 2 out the root, then [tex]\sqrt{8}=2\sqrt{2}[/tex]
2. Simplify [tex]\sqrt{18}[/tex]
factorize 18 using prime numbers
18 = 2 × 3 × 3, then [tex]\sqrt{18}=\sqrt{(2)(3)(3)}[/tex]
Take the two 3 out the root, then [tex]\sqrt{18}=3\sqrt{2}[/tex]
Let us simplify [tex]3\sqrt{45}[/tex]
∵ 45 = 3 × 3 × 5
∴ [tex]3\sqrt{45}=3\sqrt{(3)(3)(5)}[/tex]
→ Take the two 3 out by one 3
∴ [tex]3\sqrt{45}=3(3)\sqrt{5}[/tex]
→ Multiply the numbers out the root
∴ [tex]3\sqrt{45}=9\sqrt{5}[/tex]
∴ The simplest radical form is [tex]9\sqrt{5}[/tex]
Prove that when 2 lines intersect each other ,then the vertically opposite angles formed are equal.
plz help fast
Answer:
Because both lines intersect at one given point, this means that wherever they intersect both lines will have the same length on each side because that one point serves as the half way point between the intersection. meaning that if two lines cross and it creates the vertical angle of 150⁰ then by definition the side that is across that intersection point will also be 150⁰
Answer:
Step-by-step explanation:
If two lines i.e. AB & CD intersect each other. They have two pair of opp. angles.
i.e.
∠AOC,∠DOB,∠AOB,∠COB.
To prove :- ∠AOC=∠DOB & ∠AOD=∠COB
Proof :-
∠AOC+∠AOD=180 °
[linear pair] ___(1)
∠AOD+∠BOD=180°
[linear pair] ___(2)
from eq. (1) & (2)
∠AOC+∠AOD=∠AOD+∠BOD
i.e. [∠AOC=∠BOD]
Similarly [∠AOD=∠COB]
Hence proved.
Hope this helps
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Simplify the expression
Answer:
[tex]2[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
[tex]\frac{12/2(3)}{3(3)}[/tex]
Step 2: Evaluate
Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]Find the slope and the y-intercept of the line.
y = 5/4x+3
