Please help it’s needed
very easy
[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]
[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]
[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]
Now
[tex]\\ \sf\longmapsto (f-g)(x)[/tex]
[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]
[tex]\\ \sf\longmapsto x^2-11x+4[/tex]
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answer:
bike=7
car=8
walk=9
bus=12
Step-by-step explanation:
Answer:
Look at picture
Step-by-step explanation:
Simplify the radical (180°.
Answer:
radical is sqrt we find 180 sqrt root
Step-by-step explanation:
first we write sqrt 180
sqrt 180 = ?
we can choose first two letters
18 are two letters
4^2 + 2 = 18
so first + third number choose
4 , 2 are number choose
4 + 2 sqrt (4+2-1)
6 sqrt 5
sqrt 180 = 6sqrt 5
Express these numerals in the expanded form of power 10. (4) a. 5060 b.6079000 2. How many millions are there in 3 crore?(1) 3.What is the greatest number of 6 digits?(1) 4.What is the least number formed by 5 digits 4,1,8,0,7?(1) 5. Simplify: a. 18 - 7 + 9* 48/6 - 5 (1) b. 72/ 12 [ 180/4{10 +(15 - 45 /9*2)}]
Answer:
[tex]a)\ 5.06 * 10\³[/tex]
[tex]b)\ 6.079 * 10^6[/tex]
[tex]c)\ 3\ crore = 30\ million[/tex]
[tex]d)\ 999999[/tex]
[tex]e)\ 10478[/tex]
[tex]f)\ 78[/tex]
[tex]g)\ 2730[/tex]
Step-by-step explanation:
Solving (a): 5060 as a power of 10
We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.
So,
[tex]5 0 6 0 = 5.06 * 10^3[/tex]
Solving (b): 6079000 as a power of 10
We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.
So,
[tex]6079000 = 6.079 * 10^6[/tex]
Solving (c): 3 crore to millions
[tex]1\ crore = 10\ million[/tex]
Multiply by 3
[tex]3\ crore = 30\ million[/tex]
Solving (d): The greatest 6 digits
The greatest unit digit is 9. So, we simply write out 9 in 6 places
[tex]Greatest= 99999[/tex]
Solving (e): The least 5-digit formed from 4,1,8,0,7
To do this, we start the number from the smallest non-zero digit.
The remaining 4 digits will then be in an increasing order
So, we have:
[tex]Least = 10478[/tex]
Solving (f):
[tex]18 - 7 + 9 * \frac{48}{6} - 5[/tex]
Using BODMAS
Evaluate the division, first
[tex]18 - 7 + 9 * 8 - 5[/tex]
Then multiplication
[tex]18 - 7 + 72 - 5[/tex]
Add up the remaining digits
[tex]78[/tex]
Solving (g): This question is not clear.
I will assume the expression is:
[tex]\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}][/tex]
Evaluate all divisions
[tex]6* [ 45*{10 +(15 - 5*2)}][/tex]
Solve the multiplication in brackets
[tex]6* [ 45*{10 +(15 - 10)}][/tex]
Remove the inner bracket
[tex]6* [ 45*{10 +5}][/tex]
Evaluate 45 * 10
[tex]6* [ 450 +5}][/tex]
Remove the bracket
[tex]6* 455[/tex]
Multiply
[tex]2730[/tex]
Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.
Answer:
The value of P(AUB) = 0.438
Step-by-step explanation:
Given:
P(A) = 0.36
P(B) = 0.2
P(A∩B) = 0.122
Find:
The value of P(AUB)
Computation:
P(AUB) = P(A) + P(B) - P(A∩B)
The value of P(AUB) = 0.36 + 0.2 - 0.122
The value of P(AUB) = 0.56 - 0.122
The value of P(AUB) = 0.438
2.
B. Melody had $25 and withdrew $300 from his bank account. She bought a pair of trousers for $30.00, 2 shirts for
$19.00 each, and 2 pairs of shoes for $40.00 each. Give the final expression, and determine how much money Mel had
at the end of the shopping day.
Answer:
25 + 300 = 325
trousers: spent 30 (a pair of trousers = one unity of trousers)
shirts: spent 19 x 2 = 38
shoes: spent 40 x 2 = 80
80 + 38 + 30 = 148
325 - 148 = 177
She had $177,00 left.
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
Can someone help i don’t know this
Answer:
Step-by-step explanation:
The youth shirt is 12 dollars
The adult shirt is 15 dollars
So the number of adult shirts is x
The number of youth shirts is y
15 x + 12y = 489
You are not asked to solve this. You are just asked to find it.
Select the correct answer. . Which value of x makes this equation true? -12x - 2(x + 9) = 5(x + 4) ОА. 13/19 OB. -1/3 OC. -2 OD. 5
Answer:
B -1/3
Step-by-step explanation:
The value of x that makes this equation true is x = -2
Which value of x makes this equation true?We have the equation:
-12x - 2(x + 9) = 5(x + 4)
To solve it, we need to isolate x on one side of the equation:
-12x - 2x - 18 = 5x + 20
-12x - 2x - 5x = 20 + 18
-19x = 38
x = 38/-19 = -2
The value of x that makes this equation true is x = -2
If you want to learn more about equations:
https://brainly.com/question/2972832
#SPJ5
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
[Part A] a histogram
A histogram would best represent the range of the scores by quartiles.
A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.
Using this information, we can decide that a histogram is probably our best choice.
[Part B] see attached
First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.
Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.
Read more about your problem here: https://brainly.com/question/24283269
Maths assignment
y^2-36
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a ^2 − b ^2 = ( a + b ) ( a − b )
where
a = y
and
b = 6
( y + 6 ) ( y − 6 )
Jill has just moved to a new town and wants to share plates of baked goods with her neighbors. She has 20 cookies and 12 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates she can make to share?
Answer:
4
Step-by-step explanation:
The greatest number of plates Jill can split the 20 cookies and 12 brownies into can be determined by calculating the highest common factor and 20 and 12
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2,4, 5, 10, 20
Covert 1.18 into a fraction
Answer:
13/11
Step-by-step explanation:
| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.
To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.
If x = 0.18 recurring
100x = 18.18 recurring
99x = 18
x = 18/99
= 2/11
Now, we add on the 1.0 (11/11) to get 13/11
Evaluate 2y when y = 6y
Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money?
Answer:
8 days
Step-by-step explanation:
Answer:
4 days
Step-by-step explanation:
[tex]120 - 8x = 60 + 7x[/tex]
x=4
Can anyone plz help me with this??
Ans =22 But I don't know how?!
Answer:
first + all the digit then divide the rational than multiple it fro 5 then divide from 5 . the answer will appear
Choose the graph of y = -3 sin x.
Step-by-step explanation:
the graph should look something like this
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
Please help ASAP please!!!
Answer:
75in^2
Step-by-step explanation:
5×5×4/2=50
5×5=25
50+25=75
a right triangle is 18 inches long and a hypotenuse that is 30 inches long. what is the perimeter, in inches, of this triangle?
Answer:
The perimeter is 72 inches
Step-by-step explanation:
using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.
[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]
now you just add the values, 30 + 24 + 18
what is the slope of the line shown below (6, 6) (1, -4)
Answer:
2
Step-by-step explanation:
if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
look at the image for the question and the answers
Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"
if x-y=9 and xy=2,find the value of (x square + y square)
Answer:
x² + y² = 85
Step-by-step explanation:
Using the expansion
(x - y)² = x² + y² - 2xy , then
x² + y² - 2xy = (x - y)² ( add 2xy to both sides )
x² + y² = (x - y)² + 2xy ← substitute given values
= 9² + 2(2)
= 81 + 4
= 85
HELPPP
A. X=20, y=10
B. X=15, y=8
C. X=20, y=12
D. X=15, y=12
Answer:
Step-by-step explanation:
If this is a parallelogram, then opposite sides are congruent and opposite angles are congruent. That means that
2y + 8 = 3y - 4 and
3x + 25 = 5x - 5
We'll solve that first equation for y:
-y = -12 so
y = 12 Now onto x:
-2x = -30 so
x = 15
Choice d is the one you want.
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
write the following expressions as an exponential term with a single base
(4*2^5)÷(2^3 *1/16)
Answer:
2^8
Step-by-step explanation:
(4*2^5)÷(2^3 *1/16)
[tex]\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8[/tex]
Graph the function F(x)=2^x-4
Answer:
The plotting are correct .
HOPE IT HELPED!!
A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?
Answer:
[tex](60\times 50)\div 3[/tex]
Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=[tex]Length\times breadth[/tex]
Using the formula
Area of roll of sod=[tex]3\times 1 feet^2[/tex]
Area of roll of sod=3 square feet
Area of courtyard=[tex]60\times 50[/tex] square feet
Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]
Using the formula
Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]
Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]
This is required expression which represents the number of rolls of sod needed.
X2+y2-6x+2y-39=0 what is the radius and the center
Answer:
(centre = (3, - 1 ) and radius = 7
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 6x + 2y - 39 = 0 ( collect x/ y terms and add 39 to both sides )
x² - 6x + y² + 2y = 39
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = 39 + 9 + 1
(x - 3)² + (y + 1)² = 49 ← in standard form
with centre (3, - 1 ) and r = [tex]\sqrt{49}[/tex] = 7