Answer:
11/3
Step-by-step explanation:
-12/3 = -4
-4 + x = -1/3
X = -1/3 + 4
X = (-1+12)/3 = 11/3
11/3 + -12/3 = -1/3
You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree?
Answer:
$9000
Step-by-step explanation:
36000:4=$9000
for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45
The percentage of 45 out of 120 is 38% thus 38% calories from fat.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Total calories = 120
Calories from fat = 45
Fraction of calories from fat = 45/120 = 0.38
Percentage of calories from fat out of total calories ⇒
(45/120) × 100 = 38%
Hence "The percentage of 45 out of 120 is 38% thus 38% calories from fat".
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If y = -18 when x = 3, find x when y =30
Answer:
when x = 18. Putting x = 18 into the equation y = 6/x, we have y = 6/18. Simplifying the fraction gives us y = 1/3.
Step-by-step explanation:
I also need an explanation please
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
PLZ HELP ME I NEED HELP PLZZZ!!!!!
Select all that apply.
Given the points (-6, 8) and (-3, 4), which of the following are true about the line passing through these points?
The line represents a direct variation function.
The line has a slope of -3/4 .
The point (9, -12) is also on the line.
The line has a slope of 3/4 .
Answer:
the point (9,-12) is also on the line
Step-by-step explanation:
by using the 2 points the equation is y=-4/3x
use x of 9
y = -12
it will also represent a direct variation function
so two of the 4 will be correct
Answer:
The point (9,-12) is also on the line
Step-by-step explanation:
Please give brainliest
using 3 discs complete the puzzle. what is the smallest number of moves you can find
Which function below has the following domain and range?
Answer:
The first choice.
Step-by-step explanation:
Domain = x value (first value in a coordinate pair: (x,y))
Range = y value
A function cannot have a repeating Domain value.
This eliminates the last option since -4 is used twice.
The second option has 11 as a y value but it is not in the range.
The third option has 10 as an x value but it is not in the domain.
Explain how you would go about factoring the following?
3x^2 +17x-28
Answer:
[tex](x + 7) \times (3x - 4)[/tex]
Step-by-step explanation:
[tex] {3}^{2} + 17x - 28[/tex]
[tex]3 {x}^{2} + 21x - 4x - 28[/tex]
[tex]3 \times x(x + 7) - 4x - 28[/tex]
[tex]3x \times ( x + 7) - 4(x + 7)[/tex]
[tex](x + 7) \times (3x - 4)[/tex]
what??? I need help urgent :( i didn’t focus in math
Answer: g(x) = (x+1)-3
Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
Solve 3(x – 5) + 13 ≥ 22 – 9x.
Question 6 options:
A)
x ≤ –2
B)
x ≥ –2
C)
x ≥ 2
D)
x ≤ 2
Answer:
the answer is C
Step-by-step explanation:I hope you understand.... if you don't, let me know. pls make this your brainliest answer.
cheers
Solve the problem please
Answer:
x = 9±sqrt(7)
Step-by-step explanation:
3(x-9)^2 =21
Divide each side by 3
3/3(x-9)^2 =21/3
(x-9)^2 =7
Take the square root of each side
sqrt((x-9)^2) =±sqrt(7)
x-9 =±sqrt(7)
Add 9 to each side
x = 9±sqrt(7)
Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game
Answer:
He will pay $10
Step-by-step explanation:
35-25=10
What is -1,098 3/20 minus -895.9
Answer:
the answer is -1445.05.
Answer:
Step-by-step explanation:
the answer is -1445.05.
m-2=1.97 and explain how to do it im lowkey kind of confused on how to do this.
9514 1404 393
Answer:
m = 3.97
Step-by-step explanation:
Your equation is written as a "one-step" linear equation.
m -2 = 1.97
It is solved by adding 2 to both sides of the equation. (This is the "one step.")
m -2 +2 = 1.97 +2
Simplifying gives ...
m = 3.97
_____
If this is supposed to be an equation where -2 is a exponent, then the rules related to exponents apply. In plain text, this would be written m^-2 = 1.97.
[tex]m^{-2}=1.97\\\\\dfrac{1}{m^2}=1.97\qquad\text{write using a positive exponent}\\\\\dfrac{1}{1.97}=m^2\qquad\text{multiply by $m^2/1.97$}\\\\\sqrt{\dfrac{1}{1.97}}=m\approx0.71247050\qquad\text{take the square root}[/tex]
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method.
Answer:
405 gallons
Step-by-step explanation:
Let it be that the amount of gallons of a 70% antifreeze solution is x, when a mixture that is 60 percents of antifreeze is placed in y gallons
x+90=y - the equation of dependence between solutions
The amount of antifreeze in the first one is x/100*70= 0.7x (in gallons), in the second solution (15percents) antifreeze is 90/100*15=13.5 (in gallons).
In the mixture we should get there will be y/100*60=0.6y - gallons of antifreeze
0,7x+13.5=0.6y
We have two equations x+90=y and 0,7x+13.5= 0.6y
0.6x+54=0.6y
0.7x+13.5=0.6y
0.7x+13.5-0.6x-54= 0.6y-0.6y
0.1x-40.5=0
x=405- the answer
p.s. sorry, I don't know what the six-step method is. But the answer is right.
Add.
−5/6+(−2 5/8)
Enter your answer as a simplified fraction by filling in the boxes.
Step-by-step explanation:
[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]
[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]
[tex] = \frac{ - 20 - 63}{24} [/tex]
[tex] = \frac{ - 83}{24} (ans)[/tex]
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
what is 3 ÷ 2/5??? pls help
Answer:
7.5
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
3/2/5=3/2×5. a/b/c=a/b×c
1.5×5=7.5
Calculate the difference and enter it below.
-19-(-10)
Answer here
Answer:
+1 is the answer
Step-by-step explanation:
-19-(-10)
-19+10
+1
5,356+2,398
=(5,356+2)+ (2,398 + 2)
5,358+2400=7,758
is kElly's answer correct? what mistake did she make?
Answer:
No because she added 2 instead of 2398. She thought the 2 was separate because of the comma separating the 2 thousand. She also made a mistake by thinking she could add easily by adding 2 to 2398 to make 2400.
The addition of the given numbers is 7,758.
Use the concept of addition defined as:
In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.
It is a fundamental operation used to calculate the total or the result of combining quantities. When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum. The order in which numbers are added does not affect the result, thanks to the commutative property of addition.
This fundamental concept of addition forms the basis for more advanced mathematical operations and problem-solving techniques.
The given numbers are:
5,356+2,398
Now simply add these numbers:
5 3 5 6
+2 3 9 8
7 7 5 4
Hence,
The addition of the given numbers is 7,758.
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Really need to someone to break this down so I can understand it
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answer:
Part A)
The slope is two.
Part B)
[tex]\displaystyle y = 2x - 7[/tex]
Step-by-step explanation:
Part A)
We want to find the slope of the curve:
[tex]\displaystyle y = x^2 - 2x - 3[/tex]
At the point P(2, -3) by using the limit of the secant slopes through point P.
To find the limit of the secant slopes, we can use the difference quotient. Recall that:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]
Since we want to find the slope of the curve at P(2, -3), x = 2.
Substitute:
[tex]\displaystyle f'(2) = \lim_{h \to 0} \frac{f(2 + h) - f(2)}{h}[/tex]
Simplify. Note that f(2) = -3. Hence:
[tex]\displaystyle \begin{aligned} f'(2) &= \lim_{h\to 0} \frac{\left[(2+h)^2 - 2(2+h) - 3\right] - \left[-3\right]}{h} \\ \\ &=\lim_{h \to 0}\frac{(4 + 4h + h^2)+(-4-2h)+(0)}{h} \\ \\ &= \lim_{h\to 0} \frac{h^2+2h}{h}\\ \\&=\lim_{h\to 0} h + 2 \\ \\ &= (0) + 2 \\ &= 2\end{aligned}[/tex]
(Note: I evaluated the limit using direct substitution.)
Hence, the slope of the curve at the point P(2, -3) is two.
Part B)
Since the slope of the curve at point P is two, the slope of the tangent line is also two.
And since we know it passes through the point (2, -3), we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitute. m = 2. Therefore, our equation is:
[tex]\displaystyle y + 3 = 2(x-2)[/tex]
We can rewrite this into slope-intercept if desired:
[tex]\displaystyle y = 2x - 7[/tex]
We can verify this by graphing. This is shown below:
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
2. If 3x - y = 4, what is the value of 27^x/3^y
9514 1404 393
Answer:
81
Step-by-step explanation:
Rewriting the expression as powers of 3, we get ...
[tex]\dfrac{27^x}{3^y}=\dfrac{(3^3)^x}{3^y}=3^{3x-y}=3^4=\boxed{81}[/tex]
Please help me to solve this question
Answer:
(p+5)(p-2)
Step-by-step explanation:
We are looking for two numbers that multiply to -10 (the rightmost number) and sum to 3 (the middle number)
These are 5 and -2
So we write
(p ____)(p ____)
and fill in the blanks
(p+5)(p-2)
Check by FOILing:
p^2 -2p + 5p -10
And combine the two middle terms.
p^2 + 3p - 10
Simplify
12 - 6(2x + 7)
Answer:
-12x - 30
Step-by-step explanation:
12 - 6(2x + 7)
=> 12 - 12x - 42
=> -12x - 30
Answer:
6 (-5-2x)
Step-by-step explanation:
12-6(2x+7)
6(2-(2x+7)) factor the expression
6(2-2x-7) remove parentheses
6(5-2x) answer!
At Jeremy's school, the final grade for his Human Biology course is weighted as follows:
Tests: 50%
Quizzes: 35%
Homework: 15%
Jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework.
What is Jeremy's weighted average?
83.6%
78%
74.8%
75.6%
Answer:
78%
Step-by-step explanation:
.94 + .78 + .62 = 2.34
2.34/3 = .78
.78 = 78%
Jeremy's weighted average is 83.6%
The grades and the weights of the grades can be represented using the following table
Subject Final Grade Average
Test 50% 94%
Quiz 35% 78%
Homework 15% 62%
The weighted average (w) is the sum of the product of the final grades and the average.
So, we have:
[tex]w = \sum Final\ Grade \times Avearge[/tex]
This gives
[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]
Evaluate the products
[tex]w = 47\% + 27.3\% + 9.3\%[/tex]
Evaluate the sums
[tex]w = 83.6\%[/tex]
Hence, the weighted average is 83.6%
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Solve for x: 5x + 2 = 4x − 9.
7
−7
11
−11
Answer:
x= -11
Step-by-step explanation:
5x+2=4x-9 subtract 2 from both sides
5x+2-2=4x-9-2
5x=4x-11 subtract 4x from both sides
5x-4x=4x-4x-11
x= -11
hope that helps>3
The sum of 5 abd twice a number
Answer:
5+2x
Step-by-step explanation:
Titik ( 2,3 ) ditranslasi oleh (3 4) Koordinat bayangannya adalah
Answer:
6,2 kordinat 34,5 h2 semoga membanti
