Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
[tex]4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7[/tex]
If the mine winch drum diameter is 4,5m, calculate how far the counterweight will lift each single rotation of the drum, use formula C=2πr
Answer:
i have no idea that's why I need ur help
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 20 cents more than what was paid for the previous subscription. How much will you earn by selling magazine subscriptions?
PLEASE HELP, I WILL ADD BRAINLIEST AND 100 POINTS
Answer:
money = 1.45x - .20
Step-by-step explanation:
money made = first subscription + rest of subscriptions
Let x = number of subscriptions
We x-1 for the rest of the subscriptions since we already counted the first one
20 cents more than what was paid for the first one
money = 1.25 +(1.25+.20)(x-1)
money = 1.25 +(1.45)(x-1)
Distribute
money = 1.25 +1.45x-1.45
Combine like terms
money = 1.45x - .20
PLEASE HELP
Combine as indicated by the signs. Write variables alphabetically in your answers.
Answer:
[tex]\frac{-4xy}{x^2-y^2}[/tex]
Step-by-step explanation:
[tex]\frac{x-y}{x+y}-\frac{x+y}{x-y} \\\\\\=>\frac{(x+y)(x-y)}{(x-y)(x-y)} -\frac{(x+y)(x-y)}{(x+y)(x+y) } \\\\=> \frac{(x-y)(x-y)-(x+y)(x+y)}{(x+y)(x-y)} \\\\=>\frac{x^2-xy-xy+y^2-x^2-xy-xy-y^2}{(x+y)(x-y)} \\\\=>\frac{-4xy}{(x+y)(x-y)} \\\\=>\frac{-4xy}{x^2 - y^2}[/tex]
Andre is a salesman and his assigned territory has a radius of 45 miles. What is the area of Andre’s sales territory? Use 3.14 for π and round your answer to the nearest tenth
hi
formula for cicrle circumference is 2 *radius*Pi
as radius is 45, Pi is 3.14....
I let you do the math...
What is the volume of the rectangular prism?
Answer:
5
Step-by-step explanation:
Use >,< or = to compare. 167.4____167.462 which one???
Answer:
<
Step-by-step explanation:
167.462 is 0.062 larger than 167.400
please help me ill give you the crown thing
Answer: The answer is D
Step-by-step explanation:
I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
9514 1404 393
Answer:
1. (f+g)(x) = 2x^2 +4x +2
2. (f -g)(x) = -2x^2 +4x -4
5. (f+g)(x) = x^2 +2x -1
6. (g -f)(x) = x^2 -2x -1
Step-by-step explanation:
None of these are compositions. They are only sums or differences.
(f±g)(x) = f(x) ± g(x)
__
1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)
(f+g)(x) = 2x^2 +4x +2
__
2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)
(f -g)(x) = -2x^2 +4x -4
__
5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)
(f+g)(x) = x^2 +2x -1
__
6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)
(g -f)(x) = x^2 -2x -1
A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step
Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
Can someone pls explain how to do order of operations
Answer:
do you mean PEMDAS?
Step-by-step explanation:
parenthesis, exponents, multiplication, division, addition, and subtraction
you solve in order and go left to right
if you give an equation i can explain it better, but it's basically that
Step-by-step explanation:
1- solve operation in parantheses or brackets.
2- we solve any exponent
3- solve all multiplication and division left to right
Can someone show me how to factor this please?
Answer:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]
In the interval [0, 2π).
Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:
[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]
Factor:
[tex]\displaystyle (2u+1)(u+1) = 0[/tex]
By the Zero Product Property:
[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]
Solve for each case:
[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]
Back-substitute:
[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]
Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
1.) 0.66666666667 is a natural, whole, integer, rational or irrational number
Answer:
irrational i think
Step-by-step explanation:
In right angle triangle OAB,
[tex] {ob}^{2} = {oa}^{2} + {ab}^{2} = |?| + |?| [/tex]
Answer:
ab^2 + oa^2
Step-by-step explanation:
It is pathagorus theorem basically
hypotenuse²= perpendicular²+base²
Solve the inequality.
|3x + 7| <4
Answer:
[tex]-\frac{11}{3} \leq x\leq -1[/tex]
Hope this helps!! <3
If two triangles are congruent corresponding angle measures are the same/different and corresponding side
lengths are the same/different.
Answer:
Corresponding angles for similar triangles are equal
Corresponding angles and sides are equal for congruent triangles (they may be superimposed)
Olivia bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 4-pack of juice bottles. The total cost before tax was $7.43. Which tape diagram
could be used to represent the context if x represents how much each bottle of juice
costs?
The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39
Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Which equation represents a population of 370 animals that increases at an annual rate of 11% ?
Answer:
D.
Step-by-step explanation:
the starting number is 370 and it gets multiplied by 1.11 every year so you would root the equation by t
The equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
A population of 370 animals that increases at an annual rate of 11%
Initial value a = 370
rate r = 11% = 0.11
The equation:
[tex]\rm p = a(1 + r)^t[/tex]
[tex]\rm p = 370(1 + 0.11)^t[/tex]
Thus, the equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
5xy. √[tex]\frac{25x^2}{y^6}[/tex]
Answer:
[tex] \frac{25 {x}^{2} y}{729} [/tex]
Step-by-step explanation:
[tex]5xy \times \sqrt{ \frac{25 {x}^{2} }{ {9}^{6} } } [/tex]
[tex]5xy \times \frac{5x}{ {9}^{3} } [/tex]
[tex] \frac{25 {x}^{2} y}{ {9}^{3} } [/tex]
[tex] = \frac{25 {x}^{2}y }{729} [/tex]
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem.
3
5
7
9
Answer:
9
Step-by-step explanation:
Let Benjamin's age be=x.
Let Lucas's age be=y.
Then, x=2y-6
When x=12, 12+6=2y.
18/2=y, y=9
Match the number 343 on the to the value of the number rounded to the nearest 10.
300
340
350
330
Answer:
340
Step-by-step explanation:
Anything greater or equal to 345 will be rounded to 350
and anything less than 345 will be rounded to 340,
So the numbers is:-
340
Joseph tweets 13 times a day.What defines each variable and write an algebraic expression to describe the number of post after any given number of days.
Answer:
t(x) = 13xStep-by-step explanation:
Let the number of days is x.
Joseph tweets 13 times a day.
The number of tweets after x days would be:
t(x) = 13x,t(x) - number of tweets after x days.
Find the measure of c.
(1
27
O A. 31.6
B. 27
C. 63
D. 126
Answer:
The answer is
The measure of c is 63
(10 points) How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
Answer:
C. 2
Step-by-step explanation:
2y and 0,0 are the same
Answer:
The answer is B) There is one proportional relationship
Step-by-step explanation:
The green line (the one at the top) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.
Reason: It goes through 0,0
----------------------------------------------------------------------------------------------------------------
The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
26. Using only digits 0, 1 and 2, this cube has a different
number on each face.
Numbers on each pair of opposite faces add to the
same 3-digit total.
What is the largest that this total could be?
Answer:
Step-by-step explanation:
Possible largest numbers using digit 0 , 1 , 2
222
221
220
212
211
210
222 + 210 = 221 + 211 = 220 + 212 = 432
Largest total can be 432
Can someone help what do I put in the blank
Answer:
600 -383 =217hope it helpsShow all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
x=7 is the solution for the given equation
x=4 is the extraneous solution .
Given :
[tex]\sqrt{x-3} +5=x[/tex]
Explanation :
To solve the given equation for x , we need to remove the square root first
Subtract 5 on both sides
[tex]\sqrt{x-3}+5=x\\ \sqrt{x-3}=x-5\\\\[/tex]
Take square on both sides to remove square root
[tex]x-3=(x-5)^2\\x-3=x^{2} -10x+25\\[/tex]
Subtract x and add 3 on both sides
[tex]0=x^{2} -11x+28\\0=(x-7)(x-4)\\[/tex]
Set the factors =0 and solve for x
[tex]x-7 =0\\x=7\\\\\\x-4=0\\x=4[/tex]
x values are 4 and 7
Now we check the values using original equation and verify it
[tex]x=4\\\sqrt{x-3} +5=x\\\sqrt{4-3} +5=4\\\\6=4 \\[/tex]
x=4 does not satisfies the original equation
Now we check x=7
[tex]\sqrt{7-3} +5=7\\7=7[/tex]
x=7 is the solution
Learn more : brainly.com/question/13401711
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
HELPP???!! Due tomorrow!!
Fill in the table.
You make a $15 payment on your loan of $500 at the end of each month
Answer:
Month 1: 500 - 15 = 485
Month 2: 485 - 15 = 460
Month 3: 460 - 15 = 445
Month 4: 445 - 15 = 430
Step-by-step explanation:
4 (3 + c ) + c = c + 4
what is c?
Answer:
[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]
Answer: c = -2
Step-by-step explanation:
Given
4 (3 + c) + c = c + 4
Expand parentheses and apply the distributive property
4 · 3 + 4 · c + c = c + 4
12 + 4c + c = c + 4
Combine like terms
12 + (4c + c) = c + 4
12 + 5c = c + 4
Subtract 12 on both sides
12 + 5c - 12 = c + 4 - 12
5c = c - 8
Subtract c on both sides
5c - c = c - 8 - c
4c = -8
Divide 4 on both sides
4c / 4 = -8 / 4
[tex]\boxed{c=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find an expression which represents the difference when (x + 4y) is subtracted
from (-8x + 3y) in simplest terms.
Answer:
[tex]( - 8x + 3y) - (x + 4y) \\ = - 8x + 3y - x - 4y \\ = - 9x - y \\ thank \: you[/tex]