Answer:
8 & 7
Step-by-step explanation:
x*y = 56
x+y = 15
y = 15-x
x(15-x)=56
15x-x^2 = 56
x^2 -15x + 56 = 0
Factored Form: y= (x-8)(x-7)
Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year.
Answer:
With new regime is 183,750Rs
Step-by-step explanation:
I. 75,000 * 13 [12 months + 1 month bonus] = 975,000
II. Ms.Gurung tax rate will be ₹37500 + 15%
III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250
IIII. ₹37500 + 146,250 = 183,750Rs
It depends on how tax rate will costs, could be more or less.
Si confused as to how to solve this
Answer:
x^2, 10-x , 1.5x -5
Step-by-step explanation:
Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.
Answer:
.
Step-by-step explanation:
2: 5, 10, 261.8, 785.4, 0.33
3: 7, 20, 1,026.3, 3,078.8, 0.33
4: 8, 6, 402.1, 1,206.4, 0.33
5: 12, 11, 1,658.8, 4,976.3, 0.33
Simplify (x³ - y²)(x+y) divided by (x² - y²)³
can you guys give me proper explanation?
Answer:
x^4 - yx^3 - xy^4 - y^5
Step-by-step explanation:
(x³ - y²)(x+y) / (x² - y²)³
(x^3 - y^2) (x+y) / (x^6 - y^6)
(x^3 - y^4) (x+y)
x^4 - yx^3 - xy^4 - y^5
Geometry, please answer question ASAP
Answer:
XY = 24
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio.
[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]
Cross multiply,
(x + 6 )(2x-4) = 16*30
Use FOIL method
x*2x + x*(-4) + 6*2x + 6*(-4) = 480
2x² - 4x + 12x - 24 = 480 {Combine like terms}
2x² + 8x - 24 = 480
2x² + 8x - 24 - 480 = 0
2x² + 8x - 504 = 0
Divide the entire equation by 2
x² + 4x - 252 = 0
Sum = 4
Product = -252
Factors = 18 , -14 {18 +(-14) = 4 & 18*(-14) = -254 }
x² + 4x - 252 = 0
x² + 18x - 14x - 252 = 0 {Rewrite middle term}
x(x + 18) - 14(x + 18) = 0
(x + 18)(x - 14) = 0
x - 14 = 0 {Ignore x + 18 = 0 as measurement will not come in negative}
x = 14
XY = 2x - 4
= 2*14 -4
= 28 - 4
= 24
Solve the system by substitution.
y = -3x + 17
2x + 3y = -5
Answer:
(8, -7)
Step-by-step explanation:
Hi there!
We are given this system:
y=-3x+17
2x+3y=5
And we want to solve the system
Let's solve it by substitution.
In the first equation, we are given y=-3x+17, which we can substitute -3x+17 as y into the second equation
2x+3(-3x+17)=5
Now do the distributive property
2x+-9x+51=-5
Combine like terms
-7x+51=-5
Subtract 51 from both sides
-7x=-56
Divide both sides by -7
x=8
Now substitute 8 as the value of x in y=-3x+17 to find the value of y
y=-3(8)+17
y=-24+17
y=-7
The answer is x=8, y=-7. If you need it as a point, it's (8, -7)
Hope this helps!
What is the area of this triangle?
I can't type it I have to solve on a paper for you
142°
3xº + 220
X =
degrees.
Step-by-step explanation:
hope it will help you market is brilliant
Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units
Answer:
A(9,3)
B(9,0)
C(5,1)
Step-by-step explanation:
the angle of elevation to a nearby tree from a point of the ground is measured to be 39 degrees
Answer:
66.4
Step-by-step explanation:
tan(39)=x/82
x=tan(39)×82
x=66.4 (rounded to the nearest tenth)
Answered by GAUTHMATH
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth
Answer:
The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]
The function f reflected about the y-axis and translated 3 units left. ---> [tex]g(x) = -7x-16[/tex]
The function f stretched vertically by a factor of 3 and translated up by 2 units. ---> [tex]g(x) = 21x +17[/tex]
The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]
Step-by-step explanation:
Explanation could not be submitted; So, I added it as an attachment
Answer: answer below :)
Step-by-step explanation:
Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below.
Joylin’s Work
Step 1
k = StartFraction 3 over 12 EndFraction = 0.25
Step 2
y = 0.25 x
Where did Joylin make her first error?
Answer:
Step-by-step explanation:
Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be
y = 4x
The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.
Answer:
The answer is A
Step-by-step explanation:
Help please anyoneee
Answer:
here's the answer to your question
How many solutions does this equation have x^4 - 6x^2 -7 = 0
Answer:
2 solutions
Step-by-step explanation:
x^4-6x^2-7=0
Replace x^2 by y
(x^2)^2-6x^2-7=0
y^2-6y-7=0
D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64
sqrtD=8
y1=(-b-sqrtD)/2a=-2/2=-1
y2= (-b+sqrtD)/2a=14/2=7
x^2=-1(n0 roots) x^2=7 x=sqrt7 or x=-sqrt7
2 roots
find the missing length
Answer:
it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question
hat is the measure of x?
X = [?]
D
126
Answer:
since those are angles on a straight line.
we work out as follows
x+126°=180°x+126°-126°=180°-126°x=54°∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]
(b) Work out the probability Jennifer hits the Bullseye at least once.
Can someone work this out for me ?
Answer:
1/2
Step-by-step explanation:
Filling out the tree diagram,
On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between
(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4
For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put
100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3
For Jennifer to hit the bullseye at least once, she must either:
- Hit and then hit
- Hit and then miss
- Miss and then hit
From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:
- Hit the first one
- Miss and then hit
In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is
(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have
(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once
* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A(1, 1), B(-3, 0), C(-4, -1), D(3, -2)
Answer:
is this geomtey
Step-by-step explanation:
Make sure to put what kind of maths (geometry algebra ect.) this is so others can meet your needs better. Also might want to put what unit or type of problem this is as well.
Please help me with this I need it
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.
In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:
0.2x = 0.4(1 -x)
x = 2(1 -x) . . . . . . multiply by 5 to clear fractions
x = 2 -2x . . . . . . eliminate parentheses
3x = 2 . . . . . . . . add 2x
x = 2/3 . . . . . . divide by 3
Cheryl spent 2/3 of her income in September.
Help with both plz :)
Step-by-step explanation:
Concept Required :-
BODMASBrackets , Of , Division , Multiplication , Addition , Subtraction .
Solution 9:-
We are here given ,
32 ÷ 10 - 8 ÷ 2 -3Putting brackets after and before 10 -8
32 ÷ ( 10 - 8 ) ÷ 2 - 3On simplifying,
32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5Expression :- 32 ÷ (10 -8) ÷ 2 - 3
Solution 10 :-
We are given,
1/2 × 12 ÷ 2 - 2 + 11Putting brackets ,
1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113Expression :- 1/2 × (12 ÷ 2 - 2 ) +11
Step-by-step explanation:
1. 32 ÷ 10 - 8 ÷ 2 - 3
32 ÷ 2 ÷ 2 - 3
16 ÷ 2 - 3
8 - 3
5
2.
½ × 12 + 2 - 2 + 11
6 + 2 - 2 + 11
19 - 2
17
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
In a city of 26000 populations, 5000 read English newspaper, 12000 read Nepali newspaper and 1000 read both. What percentage read neither English and Nepali newspaper? ( from set theory )
Answer:
38.46%
Step-by-step explanation:
total readers=16000
population=26000
no of non-readers=total population-total readers
=26000-16000
=10000
percentage of non-readers=non-readers×100%
population
=10000×100%
26000
percentage of non-readers is 38.46%
(4,-5) with slope of 2
that's a point slope form so
y +5 = 2(x -4)
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9
Answer:
easy
Step-by-step explanation:
8
Answer:
its 8
Step-by-step explanation:
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2
Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]
Work Shown:
[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]
This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]
What is 6/10 + 9/10 in simplest form?
Answer: 3/2
Step-by-step explanation:
Given
6/10 + 9/10
Add the numerator together
= (6 + 9) / 10
Simplify by addition
= 15 / 10
Simplify to simplest form by division
= (15 ÷ 5) / (10 ÷ 5)
= 3 / 2
Hope this helps!! :)
Please let me know if you have any questions
Hello there! The answer is:
3/2 OR 1 1/2
Step-by-step explanation:
With like denominators we can add the numerators.
6 + 9 = 15.
Then that answer over the denominator which gives us 15/10. Then simplifying the answer.
That gives us: 3/2 = 1 1/2
I hope this answer helps you out. Let me know if you have any questions/concerns.
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
x(x - 2) = 4 please help
Answer:
[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]