x/x^2-9 + 1/x-3 = 1/4x-12
x/(x+3)(x-3)+1/(x-3)=1/4(x-3)
LCD: 4(x+3)(x-3)
4x+4(x+3)=(x+3)
4x+4x+12=x+3
7x=-9
x=-9/7
What are the coordinates of the point on the directed line segment from (-8, 5)(−8,5) to (4, -3)(4,−3) that partitions the segment into a ratio of 5 to 3?
Answer:
(2, -7/2)
Step-by-step explanation:
According to the midpoint theorem;
M(X, Y) = [(ax1+bx2/a+b), ay1+by2/a+b ]
(x1, y1) and (x2, y2) are the coordinates
a:b is the given ratio
Given the following
Coordinate of the line segment (-8, 5) and (4, -3)
Ratio: 5:3
Get the X coordinate;
X = ax1 + bx2 / a+b
X = 5(-8) + 3(4)/5+3
X = -40+12/8
X = -28/8
X = -7/2
Get the Y coordinate
Y = ay1 + by2 / a+b
Y = 5(5) + 3(-3)/5+3
Y = 25-9/8
Y = 16/8
Y = 2
Hence the required coordinate is (2, -7/2)
Derrick has a total of 9 nickels and quarters in his pocket. The total amount of money he has in coins is $1.45.
How many nickels and how many quarters does Derrick have?
Answer:
Derrick has 5 quarters and 4 nickles
Step-by-step explanation:
your welcome :D
What is the constant of proportionality shown by the values in the table?
Answer:
Slope = 2.5
Step-by-step explanation:
Hope this helps. Pls give brainliest.
PLEASE HELP ASAP
What is the solution to the system of equations graphed below?
y = 3x + 2
y = -2x - 3
Answer: x = -1; y = -1
y = 3x + 2
y = -2x - 3
⇔ y = 3x + 2
3x + 2 = -2x - 3
⇔ y = 3x + 2
5x = -5
⇔ y = 3x + 2
x = -1
⇔ y = -1
x = -1
Step-by-step explanation:
IXL- 8th grade math- W.14
Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial set-up time. If it takes 41 minutes to screen-print a bath of shirts, how many shirts are in the batch?
Answer with the amount of shirts.
Answer:
There are 37 shirts in the batch.
Step-by-step explanation:
Since it takes an initial 4 minutes to set up the screen-printer, we can subtract 4 from 41 minutes to get the time used to print the shirts.
41 - 4 = 37
Since each shirt requires 1 minute of screen printing and there are 37 minutes, we can divide 37 by 1.
37 / 1 = 37
So there are 37 shirts in this batch. Hope this helps.
The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $33 million. Is the result close to the actual number of viewers, 3.03.0 million? Use a significance level of 0.05.
Answer:
y = 5.064 - 0.010x
Here, in this question x = 33
y = 4.734 million views
In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.
Step-by-step explanation:
First of all, this question is incomplete. It lacks the data needed to calculate the required things.
So, I figured out the question and I will try my best to solve the question at hand.
I have calculated the some data sheet in excel. Please refer to the attachment for that data.
let a be the salaries
b be the viewers
[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex] - [tex]\frac{ Summtion a^{2} }{n}[/tex]
[tex]S_{aa}[/tex] = 7522.8571
[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex] - [tex]\frac{ Summtion b^{2} }{n}[/tex]
[tex]S_{bb}[/tex] = 47.1943
[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex] - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]
[tex]S_{ab}[/tex] = -76.8286
Now the slope of the required regression equation is:
Slope = [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010
And the intercept of the required regression equation:
intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064
So, the regression equation will be:
y = intercept + slope x
y = 5.064 - 0.010x
Here, in this question x = 33
y = 5.064 - 0.010 (33)
y = 4.734 million views
Can someone please help this these
Answer:
To the first picture: it's 9
To the second: its sin3/5
Step-by-step explanation:
This would take some time to explain so I'll keep it brief
Pic 1) process of elimination through cos
Pic 2) You divide the opposite by the hypotenuse to get the degree of angle x
Krystal is comparing two internet service plans . Plan 1 costs $134.97 every 3 months. If krystal plans to stay with one service plans for 1 year, which which choose? How much will she save?
Answer: See explanation
Step-by-step explanation:
Here's the correct question:
Krystal is comparing two internet service plans. Plan 1 cost $34.99 per month. Plan 2 costs $ 134.97 every 3 months. If Krystal plans to stay with one service plan for 1 year which should she choose? how much will she save?
Cost of plan 1 per month = $34.99 per month. Therefore, the cost for the year would be:
= 12 × $34.99
= $419.88
Plan 2 cost $134.97 for 3 months. Therefore the cost for the year would be:
= 4 × $134.97
= $539.88
She would choose the first plan as it's cheapee. She would also save:
= $539.88 - $419.88
= $120
This scatter plot and line of best fit shows the relationship between the height and the mass of 15 different dog breeds.The circled point in the scatter plot correspond to Afghan Hound.What conclusion can be drawn about the predicted mass and the actual mass of Afghan hound?
Answer:
A
Step-by-step explanation:
Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their times expressed as a fraction of a second?
Answer:
1 / 20
Step-by-step explanation:
Brian = 11.74 seconds
Luis = 11.69 seconds
Difference between their times :
11.74 - 11.69 = 0.05
Expressed as a fraction of a second :
0.05 / 1 = (0.05 * 100) / (1 * 100) = 5 /100 = 1/20
PLZ HELP!!! I HAVE ONLY 15 MINUTE LEFT BEFORE CLASS IS OVER!!!!
Answer:
268
Step-by-step explanation:
What is the slope of the line that passes through the points (−4,−3) and (14,0)?
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -3)
Point (14, 0)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition: [tex]m=\frac{3}{18}[/tex]Simplify: [tex]m=\frac{1}{6}[/tex]Please help with 8 the last question
Answer:
First choice, 25
Step-by-step explanation:
200 times 1/8 = 200/8 = 25
What is 40% of 500? Please help!!
Answer:
40/100 times 500=200
Step-by-step explanation:
Estimate the cost of painting the inner
wall of a well, if the depth of the well is
14 ft and the diameter is 8 ft. The cost of
painting 2.5 sq. ft is 20.
Answer:
2816 rupees
Step-by-step explanation:
here , depth = 14 ft
diameter = 8 feet
so , radius = 4 ft
We will paint it in its C.S.A.
C.S.A. of a cylindrical well
= 2πrh
= 2×(22/7)× 4 × 14
= 352 ft²
so,
cost = rate per unit area × area
= (20/2.5)×352
= 8×352
= 2816
so,the cost of the painting will be 2816 rupees
Figure ABCD is a parallelogram. use what you know about the properties a parallelograms to solve for x and find the measures of
Answer:
Step-by-step explanation:
opposite angles are congruent
Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?
plzplz plz answer
Answer:
98,635
Step-by-step explanation:
The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)
Which one do I have to chose
Answer:
The top one I think
Step-by-step explanation:
Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14
9514 1404 393
Answer:
see below
Step-by-step explanation:
I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.
The sale price is 100% - 35% = 65% = 0.65 times the regular price.
__
Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.
regular, sale
3.09, 2.01
3.29, 2.14
3.77, 2.45
4.19, 2.72
Which expression is equivalent to 1/3 p + 15 ?
[tex] \frac{1}{3} p + 15[/tex]
= 1/3(p + 45)
Find the value of X.....
Answer:
64
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
46 46 + 46
----- = -------------
32 x
Then 46x = 2(46)(32), and so x works out to 64.
Answer:
64
Step-by-step explanation:
Hope this helped :)
Someone deleted some of my answers even though they were correct. I don't know why.
What is the additive inverse of 9x-15
Answer:
[tex]-9x+15[/tex]
Step-by-step explanation:
[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]
HELP WILL GIVE BRAINLIEST
Step-by-step explanation:
y = x - 4 and y = 4x + 2
=> x - 4 = 4x + 2
=> 3x = -6
=> x = -2
y = x - 4 = (-2) - 4 = -6
The solutions are x = -2 and y = -6.
Answer:
x = -2
y = -6
Step-by-step explanation:
y = x - 4
y = 4x + 2
y = y
then:
x-4 = 4x+2
x - 4x = 4 + 2
-3x = 6
x = 6/-3
x = -2
y = x - 4
y = -2 - 4
y = -6
Solve the following: 5(2x+1)=50
Answer:
x = 9/2
Step-by-step explanation:
Answer:
x = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
Given
5(2x + 1) = 50 ( divide both sides by 5 )
2x + 1 = 10 ( subtract 1 from both sides )
2x = 9 ( divide both sides by 2 )
x = [tex]\frac{9}{2}[/tex]
Which expression is equivalent to 2 (t - 4) + 1
Answer:
Step-by-step explanation:
here you go
step 1
2 (t - 4) + 1 equation
step 2
2 (t - 4) + 1 simplify
2t+-8+1
step 3
2t+−8+1 combine terms
answer
2t-7
can you give brainliest if you dont mind
Please help due in 10 minutes
if a+2b/3=2/c^9
what is 4/b
Answer:
[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]
Step-by-step explanation:
Given the expression
[tex]a+\frac{2b}{3}=\frac{2}{c^9}[/tex]
subtract a from both sides
[tex]a+\frac{2b}{3}-a=\frac{2}{c^9}-a[/tex]
Simplify
[tex]\frac{2b}{3}=\frac{2}{c^9}-a[/tex]
Multiply both sides by 3
[tex]\frac{3\cdot \:2b}{3}=3\cdot \frac{2}{c^9}-3a[/tex]
Simplify
[tex]2b=\frac{6}{c^9}-3a[/tex]
Divide both sides by 2
[tex]\frac{2b}{2}=\frac{\frac{6}{c^9}}{2}-\frac{3a}{2}[/tex]
Simplify
[tex]b=\frac{6-3ac^9}{2c^9}[/tex]
Calculating 4/b
[tex]\frac{4}{b}=\frac{4}{\frac{6-3ac^9}{2c^9}}[/tex] ∵ [tex]b=\frac{6-3ac^9}{2c^9}[/tex]
[tex]\frac{4}{b}\:=\frac{4\:\times \:\:2c^9}{6-3ac^9}[/tex]
[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]
Therefore, we conclude that:
[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]
The steps shown can be used to prove that the medians of a triangle meet at a point.
Triangle A B C is shown on an x and y-axis. Lines are drawn from each point to the opposite side and intersect at point G. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), and point E is at (a, b).
1. Define segments BD and CE as medians of triangle ABC.
2. Write linear equations for Line B D and Line C E.
3. Use a system of linear equations to solve for the coordinates of intersection point G.
4. Write the equation of Line A G.
5. Write an expression for the midpoint of BC, point F.
6. ?
Write a linear equation for each side of the triangle.
Write an expression for the midpoint of AC and BC.
Show that A F is congruent to BD and CE.
Show that A F is the median of BC.
Answer:
D
Step-by-step explanation:
EDGE
Answer: Show that A F is the median of BC.
Step-by-step explanation:
I need the answer right now please help me
Answer:
P+Q+R+S+T=540. then substitute x for result in p
Step-by-step explanation:
i would work it out but im lazy sorry
In a pentagon, there are 540 degrees
First, find x.
Set up the equation
132 + (4x+2) + 128 + (5x -11) + (4x - 10) = 540
Combine like terms
260 +13x -19 = 540
241 + 13x = 540
solve
13x = 299
x = 23
Now plug x in to angle p (4x + 2)
4(23) + 2
92 + 2 = 94
Therefore angle P = 94 degrees