Answer:
x=0 or x=3
Step-by-step explanation:
Since it is a geometric sequence, that means term divided by previous term is the same number. Let's call that number, r.
That means we have:
(3x+1)/(2x-1)=r
(7x-1)/(3x+1)=r
Since both of the ratios are the same, then we have
(3x+1)/(2x-1)=(7x-1)/(3x+1)
Cross multiply:
(3x+1)(3x+1)=(2x-1)(7x-1)
Distribute:
9x^2+3x+3x+1=14x^2-2x-7x+1
Combine like terms:
9x^2+6x+1=14x^2-9x+1
Subtract 1 on both sides:
9x^2+6x=14x^2-9x
Subtract 14x^2 on both sides
Add 9x on both sides
-5x^2+15x=0
Factor -5x:
-5x(x-3)=0
-5x=0 when x=0 since -5(0)=0
x-3=0 when x=3 since 3-3=0
Round 496.042 to the nearest hundredth. Enter your answer in the response box.
HElppp
Find the area of a regular hexagon with a side 5 yards long. Round your answer to the nearest tenth.
I WILL GIVE BRAINLIEST! PLEASE HURRY
Answer:
it's the thrid one as 30% is correct
Answer:
More than 30% of the students surveyed chose Red as their favorite color
Step-by-step explanation:
6 + 1.5x = -12 please answer
Answer:
-12
Step-by-step explanation:
6 + 1.5x = -12
1.5x = -18
x = -12
can someone help me really fast?
7) 28 is 35% of what number?
Answer:
80
Step-by-step explanation:
28×100÷35=80
How many cm of framing are needed to make a picture frame with outside measurements 40 cm and 25 cm
Answer:
For average sized artwork (about 11x14" to 30x20"), the common mat width is 2". If you artwork is smaller, you might consider a 1.75 or 1.5" mat.
Step-by-step explanation:
Charlie and Violet met for lunch at a restaurant between their two locations (exactly in the middle). It took
Charlie 2.6 hours to get there, but it only took Violet two hours because she was driving 15 mph faster than
Charlie. The distance between the two of them initially was 260 miles. Find the speed of the two drivers.
Charlie
Violet
mph
mph
Answer:
Charlie 55 miles per hour
Violet 65 miles per hour
Step-by-step explanation:
Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Since, Charlie left Memphis and drove towards New Orleans, and Violet left New Orleans and drove towards Memphis, the total distance that they covered altogether is the total distance between Memphis and New Orleans.
It is given that the distance between Memphis and New Orleans is 394 miles. This means, the total distance both covered = 394 miles
Charlie drove for 4.8 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour
Since, distance = speed multiplied by time
Distance covered by Charlie = 4.8x
Distance covered by Violet = 2(x + 10)
Altogether they covered 394 miles,
So,
394 = Distance covered by Charlie + Distance covered by Violet
394 = 4.8x + 2(x + 10)
394 = 4.8x + 2x + 20
374 = 6.8x
x = 55
Since, x represents the speed of Charlie, the speed of charlie was 55 miles per hour and speed of Violet was 65 miles per hour
Are the expressions
5
(
x
+
2
)
+
10
and
5
x
+
12
equivalent, and why?
Answer:
Yes it is equivalent
Step-by-step explanation:
Simply 5(x+2)+10 and you will get 5x+12
Can u guys pls help me on this question and pls explain how u got the answer
Answer:
17.4
Step-by-step explanation:
side 1=4.5
side 2=4.5
side 3=4.5
base 1=3.9
17.4
What is the probability of spinning a green on the above spinner and rolling a 2 on a dice?
Answer:
Step-by-step explanation:
given klmn is a parallelogram ka-angle bisector
First person gets brainliest 4
45+9
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
The two trapezoids are congruent. What is the value of x?
Answer:
x=15
Step-by-step explanation:
Find the value of x.
(3x +20)
(5x - 16)
0.5
74
O
18
2
Answer:
74 and 18
Step-by-step explanation:
What is the determinant of H=[0 2 3 -1 3 5 6 3 -2]
–58
–7
4
58
Answer:
-7
Step-by-step explanation:
right on edge 2021
The determinant of the provided matrix is -7 after opening the matrix option (B) -7 is correct.
What is the matrix?It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
It is given that a matrix:
[tex]\rm H = \left[\begin{array}{ccc}0&2&3\\-1&3&5\\6&3&-2\end{array}\right][/tex]
As we know, the determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.
Open the above matrix to find the determinant:
|H| = 0[(-6 - 15)] - (-1)[-4 - 9] + 6[10 - 9]
|H| = 0[-21] - (-1)[-13] + 6[1]
|H| = 0 - 13 + 6
|H| = -7
Thus, the determinant of the provided matrix is -7 after opening the matrix option (B) -7 is correct.
Learn more about the matrix here:
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If 4(x – 3) + x = –2x + 10, what is the value of x?
Answer:
x=22/7
Step-by-step explanation:
4x-12+x=-2x+10
5x-12=-2x+10
5x=-2x+10+12
5x=-2x+22
5x+2x=22
7x=22
x=22/7
Explain how to change 86% into an equivalent ratio written in simplest form
Answer:
I can't explain here since I can't write numbers.
Step-by-step explanation:
Using pythagorean therom whats the answer ??
a2 + b2 = c2
Eric cut a pizza into 9 pieces .what is the angle measure of each piece
HELP WITH THESE 3 questions please !!! Please dont give me the wrong answers thanks I really need help
Answer:
We use similar triangles to get
16
15
25
brainliest pls
Could you give me the reason please ?ASAP thank you.
x/3+11=16
What is the value of x
Answer:
x = 15
--
Move 11 to the other side, with "16" after the equal sign.
We need to subtract: 16-11 = 5
x/3 = 5
x = 5 x 3
x = 15
--
To double check...
15/3 + 11 = 16
5 + 11 = 16
--
PS: In algebra we actually use "*" but for the sake of it I will use "x"
Have a nice day!
Answer:
15
Step-by-step explanation:
First you take all of the non-variables on to the other side of the equal sign. It then turns out to be SUPER easy. x/3 = 16 - 11
x/3 = 5
x = 5*3
x = 15
What equation is equal to 2y= 2x + 2?
Answer:
y = x+1
Step-by-step explanation:
2y = 2x+2 ( divide both sides of the equation with 2)
y = x + 1
At a part-time summer job, Luiz earn $10.10 per hour. Which equation can be used to find how many
hours he must work to earn $232.30?
A. 232.30x - 10.10
B. 10.10x - 232.30
C. 10.10+ x - 232.30
D. x - 10.10+232.30
Answer:
I would say it is B
Step-by-step explanation:
Because to find the value of x, you would need to divided 232.30 by 10.10, you have to use the opposite for algebra so the opposite is multiplication.
What are 5 other types of waves (besides visible light) that are found in electromagnetic spectrum.
Answer:
The other types of EM radiation that make up the electromagnetic spectrum are microwaves, infrared light, ultraviolet light, X-rays and gamma-rays.
Step-by-step explanation:
Internet.
Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.
Answer:
hyperbola with a solid line boundary
(4, -2)
(0, -4)
Step-by-step explanation:
Took one for the team Edge 2021
The shape of the given equation is hyperbola with solid line boundary, key feature i.e. the center is at (4, -2), and ordered pair is (0, -4) and the standard form will be [tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex] .
What is conic section ?Conic section is a curve obtained by the intersection of the surface of a cone with a plane.
we have,
[tex]4x^2-32x-9y^2-36y-8\leq 0[/tex]
And,
The general form of a Conic Section is,
[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]
And,
The Standard form of a is,
[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1[/tex]
So,
Now,
[tex]4x^2-32x-9y^2-36y-8\leq 0[/tex]
Then,
[tex]4x^2-32x-9y^2-36y\leq8[/tex]
Now, taking common,
[tex]4(x^2-8x)-9(y^2+4y)\leq8[/tex]
Now,
Adding 64 and subtracting 36 to both sides ,
We get,
[tex]4(x^2-8x+16)-9(y^2+4y+4)\leq8+64-36[/tex]
Now,
factor the perfect square,
i.e.
[tex]x^2-8x+16=(x-4)^2[/tex]
Now,
[tex]y^2+4y+4=(y+2)^2[/tex]
Now,
[tex]4(x-4)^2-9(y+2)^2\leq36[/tex]
Now,
Divide both sides by 36,
i.e.
[tex]\frac{4(x-4)^2}{36} -\frac{9(y+2)^2}{36} \leq\frac{36}{36}[/tex]
We get,
[tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex]
So, this is the standard form of the given cubic inequality.
Hence, we can say that the shape of the given equation is hyperbola with solid line boundary, key feature i.e. the center is at (4, -2), and ordered pair is (0, -4) and the standard form will be [tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex] .
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Jordyn had an 8-ounce glass of water. She drank 4.7 ounces and poured another 3.5 ounces into her glass. Which expression represents the amount of water that is
in the glass now?
A (8) + (-4.7) + (3.5)
B (-8) + (-4.7) + (3.5)
C (8) + (-4.7) -(3.5)
D D (8) (-4.7) (-3.5)
Answer:
A
Step-by-step explanition
HELP PLEASE ONE LIFESAVERRRrr
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
what do you need help with
I needs help......................
An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will
investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group
is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two
groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who
work while sitting
Which of the following is an appropriate inference procedure for the study?
Answer:
Answer is E
Step-by-step explanation:
did the test, also person who answered before was wrong
Considering the situation described, the appropriate test is given by:
E) A two sample t-interval for difference between population means.
When to use the t-distribution and the z-distribution?If we have the standard deviation for the sample, the t-distribution is used.If we have the standard deviation for the population, the z-distribution is used.In this problem, we will have the data from the sample, hence it is a t-test. We will compare the population means of the two groups, hence a two-sample t-interval is used, and option E is correct.
More can be learned about hypothesis tests at https://brainly.com/question/16313918