Find all values of x that make the equation true.
3/x-4 = x-5/x
The solution of the given equation are; X = -2 - 2√3 or x = -2 + 2 √3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as 3/x-4 = x-5/x
Therefore, 3/x-4 = x-5/x
3 - 4x /x = x² - 5 / x
Cancel out the denominator;
3 - 4x = x² - 5
x² - 5 - 3 + 4x = 0
x² - 8 + 4x = 0
x² + 4x - 8 = 0
For the value of x;
x = 4 + √16 + 32 / 2
x = -2 + 2√3
OR
x = 4 - √16 + 32 / 2
x = -2 - 2√3
Hence, The solution of the given equation are; X = -2 - 2√3 or x = -2 + 2 √3
Learn more about equations here;
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I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent
Answer:
F(p) = 500 + 0.5p
Step-by-step explanation:
Given that :
Bonus point on first purchase = 500
Number of points earned for every 2 dollar spent = 1
Points earned as a function of amount spent :
Bonus point + points earned per dollar
Number of points earned per dollar = 1 / 2
Let p = amount spent
F(p) = function representing the points earned
Hence,
F(p) = 500 + 0.5p
Carson is checking his work with Katie and finds that they disagree on a problem. Here’s what Katie wrote:
3x + 3 ≤ −2x + 5
3x ≤ −2x + 2
x ≤ 2
Is she right? Explain.
Answer:
-3 < 2x + 5 ≤ 7
Step-by-step explanation:
An inequality is a sentence with <, >, ≤, or ≥ as its verb. ... Similar statements hold for a ≤ b. ... To check, we can graph y1 = 3x - 5 and y2 = 6 - 2x. ... x ≤ 1. The solution set is {x|x ≤ 1}, or (-∞, 1]. The graph of the solution set is shown below. ... The sentence -3 < 2x + 5 ≤ 7 is an abbreviation for the preceding conjunction.
PLEASE HELP! Will give brainliest
5. What is the next term of the sequence -3, 6, -12, 24,... , and what it's arithmetic sequence?
Answer:
a(5)=-48
Step-by-step explanation:
I think u r confused
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6+3=9 not equal to d=-12-6=-18
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/-3=-12/6=24/-12=-2 equal
So it is geometric
By using this equation:
a(n)=a*r^(n-1)
and we have a=-3 , r=-2
Then a(n)=-3*(-2)^(n-1)
To get the next term:
a(5)=-3*(-2)^(5-1)
a(5)=-3*(-2)^(4)
a(5)=-3*16=-48
I really hope this helps <3
find the slope of the graph
Answer:
i think its 1/7 or 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Pls explain how to solve this problem pls ASAP if you know it pls!
simplify 150−55t to get the correct answer
Answer:
-5 (11t - 30)
Step-by-step explanation:
Rewrite 150 as 5 * 30
Rewrite 55 as 5 * 11
-5 * 11t + 5 * 30
Finally, factor out the common term, which in this case is -5.
The finalized answer to this problem is -5 (11t - 30).
I hope this helps you out with your question.
There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is greater than 5?
Answer:
1/3 of chance
The Rodriguez family's ate 1/3 of a pan of brownies, they will take One part to their block party and the other to share with the co-workers. How much of the whole pan of brownies will each plate get?
Answer:
[tex]\dfrac{1}3[/tex]
Step-by-step explanation:
Given that:
Part of pan of brownies eaten by Rodriguez family = [tex]\frac{1}{3}[/tex]
One part of the remaining pan of brownies will be taken to the block party.
And the other part of the remaining pan of brownies will be given to the co-workers.
To find:
How much of the whole pan of brownies will be in each plate?
Solution:
First of all, let us find the remaining part of brownies after the family ate [tex]\frac{1}{3}[/tex] part of the pan.
Remaining = [tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
Now, from the remaining pan of brownies, they are divided in 2 halves.
These part will be equal to:
[tex]\dfrac{\frac{2}{3}}{2} = \bold{\dfrac{1}{3}}[/tex]
Therefore, the answer is:
[tex]\dfrac{1}3[/tex]
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answer:
i have
Step-by-step explanation:
i dont even know good luck
pls help me with this question.
Answer:
Option B
Step-by-step explanation:
Slope = Change in y / Change in x
Slope = (8 - 2) / {6 - (-4)}
Slope = 6 / (6 + 4)
Slope = 6 / 10
Slope = 3 / 5
So option B is your answer
Number 17 please help?
Pls
Answer:
B
Step-by-step explanation:
Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.
Write a system of inequalities to represent the situation. Be sure to define your variables.
Answer:
Tickets to sit on the bench (b) = 150
Tickets to sit on the lawn (l) = 200
Step-by-step explanation:
Tickets to sit on a bench (b)cost $75 each.
Tickets to sit on the lawn (l) cost $40 each
350 tickets had been sold
$19,250 had been raised through tickets sales
This forms a simultaneous equation:
b + l = 350 ... (i)
75b + 40l = 19,250 ... (ii)
Multiplying (i) by 40 and (ii) by 1 we get;
40b + 40l = 14,000 ... (i)
75b + 40l = 19,250 ... (ii)
Subtracting (ii) - (i) we get;
35b = 5250
b = 5250 ÷ 35 = 150
Answer:
X+=4
Step-by-step explanation:
I did it
A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?
x + y = 27,
2x + 3y = 60
What is the solution of the system of equations, and what does it represent?
options:
(6, 21); 6 two-point shots and 21 three-point shots
(6, 21); 6 three-point shots and 21 two-point shots
(21, 6); 21 two-point shots and 6 three-point shots
(21, 6); 21 three-point shots and 6 two-point shots
Answer:
the answer is (21, 6); 21 two-point shots and 6 three-point shots
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
URGENT LOTS OF POINTS
Answer:
+2
Step-by-step explanation:
Answer:
its +2
Step-by-step explanation:
PLZ THANK FIVE STARE AND GIVE BRAINLIEST.
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answer: 15
Step-by-step explanation:
What is the equation of the line through (2,-4) and (0,4)?
Answer:
y = -1/4x + 4
Step-by-step explanation:
y2-y1/x2-x1
2x* + 8x8 – 25x² - 6x +14 ?
Which expression is equivalent to
x +6
(1) 2x3 + 4x² + x - 12 +
86
r +6
(2) 2x3 – 4x2
-x + 14
(3) 2x3 - 4x2 - r +
14
1 +6
(4) 2x² - 4x² – x
Please help
Answer:
B ; 2x^3-4x^2-x+\frac{14}{x+6}
Step-by-step explanation:
Please please help and show how you got the answer! I WILL MARK YOU AS BRAINLIEST
Answer:
DE < EF < DF
Step-by-step explanation:
since DE(16) is shorter then DF(23), DE < DF
EF's range is in the middle of DE and DF, so the correct answer would be
DE < EF < DF
On January 1, 2014, the federal minimum wage was $7.25 per hour. Which graph has a slope that best represents this rate? Will give brainliest!!
Answer:
the answer is c
Step-by-step explanation:
i did it on paper
x3 + 4x2 - 14x - 17/ X - 3
Answer:-54 i think or its 54 over x -3
Step-by-step explanation:
hope this helped you
One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and violin.
Answers:
Trumpet:
Clarinet:
Violin:
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
Simplify.
(22-7y+6)-(-4y2 + 3y+5)
Answer:
4y^2 - 10y + 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y - 5
= 22 + 6 - 5 - 7y - 3y + 4y²
= 23 - 10y + 4y²
Question 5 (1 point)
Supplementary angles always
оа
b
equivalent.
add up to 180 degrees.
add up to 360 degrees.
add up to 90 degrees.
ос
Od
what is 6÷102??
for math
The cost price of a washing machine is $15,480 if the selling priceis $17,000 what is the profit or loss
Answer:
profit
Step-by-step explanation:
the actual price is 15 480 and the seller sold it for 17 000
which he made a profit of 1520
Which equation demonstrates the distributive property? A = 7(1+6)=7(6+1) B = (7x1) x 6 = 7(1x6) C = (7x1) x 6 = 7(6x1) D = 7(1+6) = (7x1) + (7x6) HELP END OF SEMSSTER
Answer:
D. 7(1+6) = (7x1) + (7x6)Step-by-step explanation:
Let A, B and C be any integer or function. According to distributive property;
A(B+C) = AB + AC
From the expression, you can see that A is distributed over B and C during the expansion.
Based on this same concept, the equation that demonstrates the distributive property from the given options is 7(1+6) = (7x1) + (7x6)
From the equation, you can see that 7 is distributed over 1 and 6 to give 7(1) + 7(6).
The remaining options demonstrates the commutative property.
In each bouquet of flowers, there are 5 roses and 8 white carnations. Complete the table to find
many roses and carnations there are in 5 bouquets of flowers.
There are (____) roses and (____) carnations in 5 bouquets
Answer:
25 roses and 40 white carnations
Step-by-step explanation:
Answer:
25 roses and 40 white carnations is the answer hope this helps:)
Step-by-step explanation:
Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.
What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet
Answer:
4 1/8 square feet
Step-by-step explanation:
Area= l*b assuming that it's a rectangle or a square
2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)
so, 2 3/4 converted will be- 11/4
& 1 1/2 converted will be- 3/2
11/4*3/2=33/8
Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,
The ans would be 4 1/8 sqft
Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 3? (1 point)
The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.
Answer:
The graph shifts 5 units left
Step-by-step explanation:
The original function's k is -2. The second is 3. The difference from -2 and 3 is 5 units apart.