The solutions for the equation 23 - x² - 2x = 0 are:
x = 4
x = -6
Option A is the correct answer.
We have,
To solve the rational equation:
1/(x - 1) - 1/(x + 3) - 1/5 = 0
We need to find the common denominator and combine the fractions on the left-hand side.
The common denominator is (x - 1)(x + 3)(5).
Multiplying each term by the common denominator:
[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
Simplifying:
[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - (x² + 3x - x - 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0
Simplifying further:
[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0
Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:
23 - x² - 2x = 0
To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:
x² + 2x - 23 = 0
Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
The quadratic formula states that for an equation in the form
ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and
c = -23.
Substituting these values into the quadratic formula:
x = (-2 ± √(2² - 4(1)(-23))) / (2(1))
Simplifying:
x = (-2 ± √(4 + 92)) / 2
x = (-2 ± √96) / 2
x = (-2 ± 4√6) / 2
Simplifying further:
x = -1 ± 2√6
Therefore,
The solutions for the equation 23 - x² - 2x = 0 are:
x = -1 + 2√6 = 3.89 = 4
x = -1 - 2√6 = -5.89 = -6
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ANSWER THIS ASAP NO FILE AT ATT!!
The answer would be A
Answer:
It would be A
Step-by-step explanation:
Once again the shape does not rotate or flip it stays the same but moves on the coordinate plane.
pleaseekehhehee helppppppp
Answer:
A
Step-by-step explanation:
A is the right answer
Answer:
c is right
Step-by-step explanation
Work out the mean for the data set below:
1, 2, 1, 2, 2, 4
Answer:
2
Step-by-step explanation:
[tex]1+2+1+2+2+4 = 12[/tex] ÷ 6 = 2
Marley loves to draw and color. She bought 6 boxes of crayons. There are 8 crayons in each box. What is the total number of crayons Marley bought? What operation did you use to find your answer? Be sure to write your answer in a complete sentence.
Answer:
48 crayons
Step-by-step explanation:
There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.
Answer:
marley has 48 crayons he bought
step by step equation:
6 times 8 =48
you use multiplication to answer this question
To survey clients at a massage-therapy spa, a researcher alphabetically lists all of the customers the spa had last month. The researcher sends a survey to the 13th person on the list (with the number 13 being randomly chosen), then surveys every 20th customer after that. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
Systematic Random Sampling
Step-by-step explanation:
Edge 2021
Answer:
Systematic Random Sampling
Step-by-step explanation:
Took the test.
(5x + 10) + (2x -3) =
Answer:
16
Step-by-step explanation:
I think sorry if I'm wrong
Answer: 7x+7
Step-by-step explanation:1
Eliminate redundant parentheses
(5x+10)+(2x-3)
(5x+10)+(2x−3)
5x+10+2x-3
5x+10+2x−3
2
Subtract the numbers
5x+10+2x−3
5x+7+2x
Combine like terms
5x+7+2x
7x+7
Solution
7x+7
The Sine Function
Consider the following sine regression model
y = 18.614 sin (0.521x - 1.984) + 76.900
Predict the value of y if x equals 30.
a. 93.3
b. 85.7
c. 111.7
d. 104.8
Pleases elect the best answer from the choices provided
Answer:
A. 93.3
Step-by-step explanation:
I calculated it logically
if nick has x+2 more apples than sally and x=23 how much does nick have
Answer:
Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ Qᴜᴇꜱᴛɪᴏɴ!! ʕ ꈍᴥꈍʔ☆
Step-by-step explanation:
ꜰɪʀꜱᴛ: ᴛʜᴇ Qᴜᴇꜱᴛɪᴏɴ ᴀꜱᴋꜱ ʜᴏᴡ ᴍᴀɴʏ ᴀᴘᴘʟᴇꜱ ᴅᴏᴇꜱ ɴɪᴄᴋ ʜᴀᴠᴇ ɪꜰ x = 23
ꜱᴏᴏᴏ.....ᴛʜᴀᴛ ᴍᴇᴀɴꜱ "x" ᴀᴋᴀ 23 + 2 ᴡᴏᴜʟᴅ ᴇQᴜᴀʟ 25
ᨐᵉᵒʷ
ɪɴ ᴀ ᴄᴏᴍᴘʟᴇᴛᴇ ꜱᴇɴᴛᴇɴᴄᴇ ᴡᴇ ᴡᴏᴜʟᴅ ʀᴇꜰʀᴀɪɴ ᴛʜᴀᴛ ᴀꜱ:
"ɴɪᴄᴋ ʜᴀꜱ 25 ᴀᴘᴘʟᴇꜱ, ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴍʏ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ ɪꜰ ᴛʜᴇʏ ᴀʀᴇ ᴄᴏʀʀᴇᴄᴛ"
♥w♥
ᴀɴʏᴡᴀʏꜱ ᴛᴏᴏᴅʟᴇꜱ!!
ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!
ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ゚ ● ゚ʔ
#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!
Please help due in 45 minutes!!
Answer:
D
Step-by-step explanation:
I dont understand this but it is my lucky guess
Similar Triangles
A cell phone tower in a field casts a shadow of 100ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)
a. 145 ft
b. 76 ft
c. 100 ft
d. 135 ft
Please select the best answer from the choices provided
Answer:
D. 135 ft
Step-by-step explanation:
I calculated it logically
What is the value of f(-10) if f(x) = 4x - 12?
F(-10) means the x value in the equation is -10.
Replace x with -10 and solve:
4(-10) -12 = -40 - 12 = -52
F(-10) = -52
Answer: -52
How to: Use the given functions to set up and simplify f ( − 10 ) .
Have a great day and stay safe ! sorry if im wrong
find the area, seventh grade math problem please help
Answer:
78 ft²
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h[/tex]
[tex]A=\frac{11+15}{2}6[/tex]
78
PLS, NO LINKS, AND NO FILES PLS. A paint can has a diameter of 17 centimeters and a height of 24 centimeters. How many cubic centimeters of paint will fill the can? 7,686.72 cm 3 21,779.04 cm 3 5,444.76 cm 3 1,281.12 cm 3
The volume of the paint tank will be equal to 544.752 cubic cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube.
The given data is:-
Paint can have a diameter of 17 centimetres and a height of 24 centimetres.The volume of the tank will be:-
V = ( π / 4 ) d² l
V = ( π / 4 ) ( 17 x 17 ) 24
V = 5447.52 cubic cm
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What is the interquartile range?
133, 147, 118, 129, 115, 140
Pls help I don’t know
Suppose $3500 is invested at a rate of 5% per year compounded monthly.
Find the area of the figure shown below and choose the appropriate result.
Answer:
B 14 cm
Step-by-step explanation:
First, rectangle equation formula is w x l which means 4 x 2 = 8 then triangle formula is b x h which base is 4 and height is 3 which gets 6. So 8 + 6 = 14.
If a+b = 10 and a-b = 6 then find the value of ab
Answer:
a=8
b=2
Step-by-step explanation:
8+2=10
8-2=6
Andre sets up a rain gauge to measure rainfall in his backyard. On Tuesday, it rains off and on all day, use the graph to determine how much total rain fell on Tuesday
The total amount of rainfall is an illustration of the sum operator
The total amount of rainfall that fell on Tuesday is 35 mm
How to determine the total amount of rainfall?From the graph (see attachment), we have the following function values
f(10) = 2
f(11) = 3
f(12) = 2
f(1) = 4
f(2) = 6
f(3) = 8
f(4) = 10
f(5) = 0
Add up the function values to determine thet total amount of rainfall
Total = 2 + 3 +2 + 4 + 6 + 8 + 10 + 0
Evaluate the sum
Total = 35
Hence, the total amount of rainfall that fell on Tuesday is 35 mm
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How would you graph this function?
[tex]y=-2x^2-16x-30[/tex]
Answers Attached
__________________________________________________________
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
1,236.33
Step-by-step explanation:
Answer:1,236.33
Step-by-step explanation:
Helppppp plsssssssssssssssssssssss thanks so much:D
Answer:
Hi, there the answer is 13pt
Hope this helps take care :)
Step-by-step explanation:
Add the following and simplify if possible.
Answer:
2x+3
Step-by-step explanation:
The cost of silver is a function of the weight,
what is the output when the input is 15
find the value of x 3,9,10,8,7,x the mean is 7
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
What is the measure of the angle?
WHATS THE ANSWER?? ANSWER ASAP
tina solved a quadratic equation and found the solution to be -3/2 and 6 which of the following is equivalent to the quadratic equations that tina solved
Answer:
[tex]x^2-\dfrac{9}{2}x-9=0[/tex]
Step-by-step explanation:
The solutions of a quadratic equation are :
x = -3/2 and x = 6
or we can write it as :
[tex]x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0[/tex]
Multiplying both values,
[tex](x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0[/tex]
Hence, the required quadratic equation is [tex]x^2-\dfrac{9}{2}x-9=0[/tex].
Simplify the expression, sin2x + sinx + cos2x - 1
Answer:
2sinxcosx + sinx +1-2sin²x-1
2sinxcosx+sinx-2sin²x
sinx (2cosx+1-2sinx)