Answers
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]
Related Questions
area of trapezoid? i keep getting it wrong lol the shape is confusing to me please help
Answers
Answer:
Area= [tex]154m^{2}[/tex]
Step-by-step explanation:
A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]
One packet of biscuits requires 2 15/16 and 1 7/8 cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be?
Answers
Answer:
Hey Mate! Here's your answer.
Step-by-step explanation:
One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25
One packet of biscuits requires 1 \times \frac{2}{3}1×32
One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35
Total ingradiants for one packet of biscuits =
Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625
Then, total quantity of both ingredients used in 10 such packets of biscuits =
Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32
Hope it helped you!
Find the value of c
1.)[tex](4)^{3c}*(4)^{5c}=4/16[/tex]
Answers
[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]
find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2
Answers
Step-by-step explanation:
1+0.092= 1.0922) 1+0.042= 1.042
Answer:
1+0.092= 1.0922) 1+0.042= 1.042
Step-by-step explanation:
it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answers
Answer:i don’t know
Step-by-step explanation:i don’t know
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
Answers
[tex]$\mathcal{PROCESS:}$[/tex]
[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
[tex]200/5=?[/tex]
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
At dinner, the number of quarts of water the restaurant sells is 36 fewer than twice as many as it sells at lunch. The restaurant sells 144 quarts of water at lunch and dinner combined. How many quarts of water does the restaurant sell at lunch?
Answers
Dinner = 2x - 36
Lunch = 2x
2x + 2x - 36 = 4x - 36
4x - 36 = 144
144 - 36 = 4x
4x = 108
x = 108 divided by 4 = 27
2x = 27 x 2 = 54
The restaurant sells 54 quarts of water at lunch.
help I need help with my homework no link please BTW its 9th grade work I need help with number 1 a) I still need help with it
Answers
Answer:
you need to learn how to "prime factor" numbers....
primes are 2,3,5,7,11,13,17....
they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.
take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...
15 = 3 * 5
24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6
thus [tex]\frac{15}{24}[/tex] = [tex]\frac{3 * 5 }{2* 2* 2* 3}[/tex] now just cancel all the SAME numbers from to to bottom
"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top
result [tex]\frac{5}{2*2*2 } = \frac{5}{8}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\frac{21}{35}[/tex]
21= 3 * 7
35= 5* 7
[tex]\frac{3*7}{5*7} = \frac{3}{5}[/tex]
Step-by-step explanation:
Draw the following regular polygons inscribed in a circle:
square
pentagon
hexagon
octagon
decagon
For each polygon, include the following information in the paragraph box below:
What was the central angle you used to locate the vertices? Show your calculation.
What is the measure of each interior angle of the polygon? Show your calculation.
Answer the questions below.
What is the relationship between the central angle and the interior angle?
As the number of sides increases, how do the angles change?
Answers
Answer:
Step-by-step explanation:
Firstly we draw the circle marking its center point.
Then we choose an arbitrary point anywhere on the circumference of the circle.
Then we draw a line connecting the point and the center of the circle.
Now, we mark the next vertex of polygon on the circumference of the circle by measuring an angle with respect to the first line drawn from the center of the circle.
The measurement of the angle is based upon no. of vertices (=no. of side) of the polygon. We divide the full round angle 360° with the no. of vertices and obtain the angle between the each consecutive vertices from the center of the circle since the polygons are regular.
Polygons with the no. of vertices is as follows:
square -- 4
pentagon -- 5
hexagon -- 6
octagon -- 8
decagon -- 10
For decagon the central angle between each consecutive vertex:
[tex]\angle_{10}=\frac{360}{10}[/tex]
[tex]\angle_{10}=36^o[/tex]
For octagon the central angle between each consecutive vertex:
[tex]\angle_{8}=\frac{360}{8}[/tex]
[tex]\angle_{8}=45^o[/tex]
For hexagon the central angle between each consecutive vertex:
[tex]\angle_{6}=\frac{360}{6}[/tex]
[tex]\angle_{6}=60^o[/tex]
For pentagon the central angle between each consecutive vertex:
[tex]\angle_{5}=\frac{360}{5}[/tex]
[tex]\angle_{5}=72^o[/tex]
For square the central angle between each consecutive vertex:
[tex]\angle_{4}=\frac{360}{4}[/tex]
[tex]\angle_{4}=90^o[/tex]
The internal angle of a regular polygon is calculated as:
[tex]\angle=180-\frac{360}{n}[/tex] where, n = number of sides (=vertices)
for example, in case of hexagon interior angle is:
[tex]\angle=180-\frac{360}{6}[/tex]
[tex]\angle=180-60[/tex]
[tex]\angle=60^o[/tex]
As the no. of sides increase the interior angles widen up and their values increase, which the central angle between the consecutive vertices decrease.
Answer:
The other person is definitely getting Brainlest thank you so much for your answer. YOU ARE A LIFE SAVER. :D XD.
Please give him/her Branliest ;D
Please help! will mark right answer with Brianly
Answers
Answer:
a. [tex]\frac{4\pi }{3}[/tex]
b. 240
Step-by-step explanation:
all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:
a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]
b. -120 + 360 = 240
What is the probality of rolling a 6-sided die on a getting a 1 or a prime number?
Answers
Answer:
1/12
Step-by-step explanation:
Chances of getting a 1 are 1/6 and chances of getting a prime number excluding 1 is 3/6. 3/6 x 1/6= 3/36 or 1/12 chance.
Laura bought some movie tickets. The graph represents
the
proportional relationship between the cost and the number of movie
tickets. Find the cost of seven tickets
Answers
Answer:
it must be 85 (approx.)
Step-by-step explanation:
Write an inequality to represent the graph.
Answers
Answer:
C
Step-by-step explanation:
Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10
Answers
Answer:
Step-by-step explanation:
[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]
Someone help?????????????
Answers
Answer:
D
Step-by-step explanation:
f(x)=x²+3x+5
put x=a+h
f(a+h)=(a+h)²+3(a+h)+5
=a²+2ah+h²+3a+3h+5
Which of the following is a characteristic of a regular tessellation?
Answers
Explanation:
For regular tessellations, the types of polygons that we can use are
squares or rectanglesequilateral trianglesregular hexagonsWe can only pick one of those shapes.
Shapes like regular octagons or pentagons will not work on their own because there is gap or overlap if we tried to glue them together. Think of tiles on the floor. There cannot be any gap or overlap when forming a tessellation.
If you wanted to use octagons to tessellate the plane, then you'd need squares to fill in the gaps. At this point, it's not considered a regular tessellation.
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me! I'll mark u as the brainliest
Answers
Given:
The function is:
[tex]f(x)=-2x^2+7x+4[/tex]
To find:
Express the quadratic equation in the form of [tex]f(x)=a(x-h)^2+k[/tex], then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
[tex]f(x)=-2x^2+7x+4[/tex]
It can be written as:
[tex]f(x)=-2\left(x^2-3.5x\right)+4[/tex]
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
[tex]f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4[/tex]
[tex]f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+6.125+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=-2,h=1.75,k=10.125[/tex]
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry : [tex]x=1.75[/tex]
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is [tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex], the maximum value is 10.125, the axis of symmetry is [tex]x=1.75[/tex] and the maximum point is (1.75,10.125).
5) On each birthday Rosa gets as many roses as she is old in years. She still has all the dried flowers and there are now 120 of them. How old is she? A) 10 B) 12 C) 14 D) 15 E) 20
Answers
Answer:
D) 15
Step-by-step explanation:
This is an arithmatic progression.
The formula for the sum of arithmatic progression is
[tex]s = \frac{n}{2} (2a + (n - 1)d)[/tex]
where d is the common difference between successive terms and a is the first term. By applying this formula,
[tex]120 = \frac{n}{2} (2(1) + (n - 1)(1)) \\ 120 = \frac{n}{2} (1 + n) \\ n(1 + n) = 240 \\ n {}^{2} + n - 240 = 0 \\ (n - 15)(n + 16) = 0 \\ n = 15 \: or \: n = - 16(reject)[/tex]
Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?
Answers
Answer:
Your answer is (0,4)
Step-by-step explanation:
A class of x students has planned a picnic.Each student paid Rs 60. If out of total collection, Rs 1500 is paid in advance for transport, how much money is left with them to spend on other items
Answers
Answer:
Balance = 60x-1500
Step-by-step explanation:
Given data
total number of students= x student
amount paid by each student= Rs 60
Total amount= Rs 60*x
Advance paid for transport= Rs 1500
Hence the balance is = 60x-1500
Which point represents the unit rate?
Answers
f(x) = x5 – 9x3 Choose all of the zeroes of f(x)
Answers
Answer:
[tex]x^{3} (x^{2} -9)[/tex]
[tex]x^{3} (x+3)(x-3)[/tex]
zeros at : 0,3,-3
Step-by-step explanation:
what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)
Answers
Answer:
The slope of the perpendicular line is 2/5.
Step-by-step explanation:
We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Find the slope of the original line:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]
The slope of the perpendicular line will be its negative reciprocal.
Thus, the slope of the perpendicular line is 2/5.
The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Step-by-step explanation:We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).
using the formula;-
m = (y²-y¹) / (x²-x¹)
Where,
m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)plug the value and simplify.
m = ( (-4 ) - 6)/(3 - (- 1)
m = - 10 / 4
m = - 5/2
Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Do anyone know this
Make sure is the correct answer please
Answers
9514 1404 393
Answer:
(a) P = 44 cm + 18 cm + 18 cm = 80 cm
(b) 396 cm²
(c) (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm
(c) (ii) 7 cm
Step-by-step explanation:
(a) The length of arc PQR is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the angle in radians
The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9
So, the arc length is ...
PQR = (18 cm)(22/9) = 44 cm
Then the perimeter of the figure is ...
P = PQR +RO +OP = 44 cm + 18 cm + 18 cm
P = 80 cm
__
(b) The area of a sector is given by ...
A = 1/2r²θ = 1/2(rs)
A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector
__
(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:
height = √((slant height)² - radius²) = √(18² -7²) = √275
height ≈ 16.58 . . . cm
(ii) The length of arc PQR is the circumference of the base of the cone, given by ...
C = 2πr . . . . where r is the radius of the base of the cone
Filling in the known values, we find ...
44 cm = 2(22/7)r
(44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r
The radius of the base of the cone is 7 cm.
Miguel can use all or part of his $25 gift card to make a music purchase.Each song costs $1.50, and there is a $1.00 per account activation fee
Answers
Answer:
1.5m + 1 ≤ 25
Step-by-step explanation:
Given:
Total amount of gift card Miguel have = $25
Cost of each song = $1.50
Account activation fee = $1
Find:
Inequality
Computation:
Assume;
Number of song Miguel have = m
So,
Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee
1.5m + 1 ≤ 25
Six pounds of grapefruit costs $3.00. 5 pounds of apples costs 2.65.
What is the cost per pound for each fruit?
Answers
Answer:
1 grapefruit cost $0.50 and 1 apple cost $0.53
Step-by-step explanation:
To find the unit cost of 1 fruit, divide the cost by the amount of fruit.
Grapefruit = 3.00 ÷ 6 = $0.50
Apple = 2.65 ÷ 5 = $0.53
solve for x round to the nearest tenth of a degree,if necessary.
Answers
Answer:
Solution given:
Cos X=Adjacent/hypotenuse
Cos X=6.5/8.4
x=Cos-¹(6.5/8.4)
x=39.3°
HELP PLS!!
Find the value of x and the value of y.
A. x = 16, y = 9√2
B. X= 7, y = 16√2
C. x = 6√2, y=7√2
D. X= 7√3, y = 16
Answers
Answer:
A
Step-by-step explanation:
Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs
So
x = 9 + 7 = 16
y = √2 * 9^2 = 9√2
Answer:
A
Step-by-step explanation:
Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 9[tex]\sqrt{2}[/tex]
Using the tan ratio in the right triangle and the value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1
adj = 9
Then
x = 9 + 7 = 16
I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125
Answers
Answer:
think it is D
Step-by-step explanation:
look at the X axis and the number at the Y axis
The equation best models the relationship between x and y is y=-5x+125.
We have given that,
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.
We have to determine the equation best models the relationship between x and y.
What is the equation best models the relationship?
The three main ways to represent a relationship in math are using a table, a graph, or an equation.
The X-axis and the number at the Y-axis.
Therefore, The equation best models the relationship between x and y is y=-5x+125.
To learn more about the graph visits:
https://brainly.com/question/4025726
#SPJ2
Someone help me pls
47 as the sum of ______
Answers
9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
__
(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
__
(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
