The value of x = -5/2
To solve this question we must understand the concept of indices.
What are Indices?Indices in mathematics show the power to which an expression or variable is raised.
Here, the correct format of the equation given in the question as follows:
[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]
[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]
Multiply the power of both sides by 3
(6x + 4) =(4x -9)
6x - 4x = -9 + 4
2x = -5
x = -5/2
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hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Hope you could get an idea from here.
Doubt clarification - use comment section.
The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true
The equation is given as:
[tex]\frac pq = \frac qr[/tex]
Cross multiply
[tex]pr = q^2[/tex]
Rewrite as:
[tex]q^2 = pr[/tex]
Also, we have:
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]
Substitute [tex]q^2 = pr[/tex]
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]
Expand
[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]
Simplify
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]
Rewrite as:
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]
Substitute [tex]pr = q^2[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]
Divide q^6 by q^3
[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]
Rewrite the equation as:
[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]
Hence, the equation has been proved
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Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.
Answer:
-8
Step-by-step explanation:
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
please help with question 3
Answer:
p = - [tex]\frac{2}{3}[/tex] , p = 2
Step-by-step explanation:
Using the discriminant to solve for p
Δ = b² - 4ac
The condition on the discriminant for 2 eeal and equal roots is
b² - 4ac = 0
Given
p²x² - (p + 2)x + 1 = 0
with a = p² , b = - (p + 2) , c = 1 , then
(- (p + 2) )² - 4p² = 0
(p + 2)² - 4p² = 0
p² + 4p + 4 - 4p² = 0
- 3p² + 4p + 4 = 0 ( multiply through by - 1 )
3p² - 4p - 4 = 0 ← in standard form
(3p + 2)(p - 2) = 0 ← in factored form
Equate each factor to zero and solve for p
3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]
p - 2 = 0 ⇒ p = 2
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges 3691 to rent trucks plus an additional fee of 225.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Write the equation of the line graphed below in slope-intercept form.
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
Find the answer:
2(-5-3)
Answer:
-16
Step-by-step explanation:
start with brackets
-5-3 = -8
2(-8)
= -16
Which number line shows the solution to the inequality 4x+5>9
help please i dont want to fail
PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Evaluate –10 • x • 5 when x = –1.
–50
–15
6
50
what is the answer of 3125 ÷ 25 and show how you got the answer
Answer:
125
Step-by-step explanation:
because 3125 divided 25 equals 125.
how do you want me to show you how i divided?
Answer:
125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.
Step-by-step explanation:
What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2
Answer:
y=-1/2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1/2(x-(-6))
y+5=-1/2(x+6)
y=-1/2x-6/2-5
y=-1/2x-3-5
y=-1/2x-8
what is the constant proprotionality in the equation y =7x
Answer:
7
Step-by-step explanation:
y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
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Which graph shows a negative acceleration?
Answer:
Second Graph.
Explanation:
It's the only graph that is concave down and the slope is decreasing.
Please answer this question.
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
The answer would be -8 1/6.
What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?
Answer:
[tex]\frac{\pi}{6}[/tex] radians
[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].
As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].
When finding ratios, did it matter whether you used the values for 3 lawns mowed or the values of 4 lawns mowed?
Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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1.86÷2=1, point, 86, divided by, 2, equals
\text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2
1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
\text{ hundredths} hundredthsstart text, space, h, u, n, d, r, e, d, t, h, s, end text
1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
The equivalent value of the expression 1, point, 86, divided by, 2 is given by A = 0.93.
Given data:
Let the expression be represented as A.
Now, the value of A is
A = 1, point, 86, divided by, 2.
Substituting the values in the equation:
[tex]A=\frac{1.86}{2}[/tex]
On simplifying the equation:
[tex]A=0.93[/tex]
Therefore, the value of A is 0.93
Hence, the equation is A = 0.93
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The complete question is attached below:
Find the equivalent value of the expression "1, point, 86, divided by, 2".
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
solve for x and y show work please Y:______ X:_____
Answer:
the image was not clear....hope the values are correct
Answer is in the attached file.
After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?
Answer:2.4 or 12/5
Step-by-step explanation: (4 4/5)/2 = 2.4
Find the measures of the missing
angles of the right triangles below.
36°
a
b
с
Answer:
a = 54, b = 54, c = 36
Step-by-step explanation:
a + 90 + 36 = 180
a = 180 - 90 - 36
a = 54
b is the same as A
c + b (which is 54) + 90 = 180
c + 54 + 90 = 180
c = 36
I NEED HELP WITH MATH PLEASEEE??!
Answer:
y = -x +2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (6 -5)/(-4 -(-3)) = 1/-1 = -1
The y-intercept can be found from ...
b = y -mx
b = 5 -(-1)(-3) = 2
The slope-intercept equation for the line is ...
y = mx +b
y = -x +2 . . . . use the values of m and b we found
Help help math math
Answer:
C=31.41592654
Step-by-step explanation:
C=2πr
r=5
C=2π(5)
Therefore C= 10π or C=31.41592654
Answer:
C = 31.4
Step-by-step explanation:
1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer
Answer:
7.8 or 8
Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.
5^2 is 25 and 6^2 is 36
Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.
