Jill has a coupon for 15% off at her favorite restaurant, Downtown Noodles. You can use a function to estimate how much Jill will pay if the bill is x dollars
Answer:
Step-by-step explanation:
Let function p(x) be the price that is reduced by 15% if the bill is x dollars.
Since the price is not payed in full 100% is reduced by 15% we only pay
100 - 15 = 85 % of the original price.
p(x) = x· (100% - 15 %) = x· 85% = 0.85 x
The function used to calculate any bill that is reduced by 15% is:
p(x) = 0.85x
x - is the bill before being reduced by the coupon
If the side of a square is 3/4 feet, what is the area of the square?
Answer:
The area is 3 feet
Step-by-step explanation:
The answer is 3 ft because if you do ¾×4 because of the four sides you will get 12/4 and that equals 3
The consecutive angles of a parallelogram are________?
Answer:
supplementary
Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
Answer:
Supplementary
Step-by-step explanation:
The consecutive angles of a parallelogram are supplementary.
Two angles that add up to 180° are called supplementary angles.
This can be proven by creating a parallelogram and extending all segments to create two parallel lines transversing another set of two parallel lines.
I drew a diagram of this shape and considering that all the opposite lines are parallel, the central shape is a parallelogram.
Looking at the diagram attached, we know that the angle of a straight line is 180° (represented by the yellow of Angle 1 and the pink angle next to it) All angles of the same color are congruent by angle theorems consisting of corresponding and vertical angles.
If pink is x, and yellow is y, then we can say that x + y = 180°
So, therefore we can say that the consecutive angles of the parallelogram (Angle 1 and Angle 2) sum up to 180°, because they are made up of one pink angle and one yellow angle ( x and y )
There are 6 girls and 4 boys in the debate club at Columbus High School. The principal randomly selects one student from the debate club to represent the school in a competition. What is the probability that the selected student is a girl?
Answer:
60% chance a girl is picked
Step-by-step explanation:
There is 10 students in total. 6 out of 10 are girls. We can represent this in a fraction 6/10. Now we convert the fraction into a percentage 60%.
What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction startfraction 24 over (m 2) squared endfraction startfraction (m 2) squared over 24 endfraction two-thirds three-halves
The quotient of the equation is 1.5.
What is the quotient?The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.
The given equation is;
[tex]\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}[/tex]
By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.
The solution of the equation is determined in the following steps given below.
[tex]=\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}\\\\=\rm \dfrac{2m+4}{8}\times \dfrac{6}{m+2}\\\\=\rm \dfrac{2(m+2)}{8}\times \dfrac{6}{m+2}\\\\=\dfrac{2\times 6}{8}\\\\=\dfrac{12}{8}\\\\=1.5[/tex]
Hence, the quotient of the equation is 1.5.
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Answer:
2/3
Step-by-step explanation:
What is the quotient?
StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction
StartFraction 24 Over (m + 2) squared EndFraction
StartFraction (m + 2) squared Over 24 EndFraction
Two-thirds
Three-halves
What is the average rate of change for this quadratic function for the interval from x = 2 to x = 4? O A. -12 B. 12 C. -6 O D. 6
D. 6.
We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from [tex]x=-4[/tex] to [tex]x=-2[/tex].
We will use formula [tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(b)-f(a)}{b-a}[/tex] to solve our given problem.
[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(-2)-f(-4)}{-2--4}[/tex]
[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6--6}{-2+4}[/tex]
[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6+6}{2}[/tex]
[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{12}{2}[/tex]
[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=6[/tex]
Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.
Answer:
6
Step-by-step explanation:
because i am in credit recovery and i had a test on it
His balls were 6 feet tall he wanted them to be 20. 4 tall how much does he need to grow {i-Ready} pls help
Answer:
14.4
Step-by-step explanation:
20.4-6 = 14.4
So his balls should grow 14.4 inches/feet/centimeters (whatever measuring tool you're asked to use)
Are you sure it's balls though
Answer:
20.4-6=14.4
since he wants his balls to grow you need to subtract how much he wants them tp grow by how tall the already are
Step-by-step explanation:
Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2 7) (6x4 – 7)(6x4 7) (6x8 – 7)(6x 7)
The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
What is the formula for (a^2-b^2)?
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
[tex]F=(6x^4)^2-7^2[/tex]
[tex]F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)[/tex]
Thus, the required factors are
[tex]F=((6x^4)-7)(6x^4)+7)[/tex]
Therefore,option (C) is correct.
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The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
What is the formula for (a^2-b^2)?
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
b
Thus, the required factors are
b
If you could put wings on any species of animal, what animal would you choose?
Answer:
Humans
Explanation:
So I can have wings :)
Answer:
If I could put wings on any species of animal, I would choose a Unicorn because then the Unicorn can fly and look at all the enviroment.
Step-by-step explanation:
Store A sells 5 comics for $53.10. Store B sells 3 comics for $31.71. What is the difference in unit rate?
Answer:
Vendor 1 had a higher unit rate.
Step-by-step explanation:
oliver bought 7 bags of candy each bags cost 1.50 i need help step buy step
oliver bought 7 bags of candy each bags cost 1.50
Answer-$10.50
Answer:
10.5
Step-by-step explanation:
you take 1.50 and times it by how many bags there are so 7
1.50×7=10.5
Each of the teams in a mixed volleyball league consists of 5 men and 5 women. there are 9 men and 10 women, including julia, who are trying out for a team. how many possible teams would include julia?
There are 9 men and 10 women, including Julia, who are trying out for a team. so there are 31,752 possible teams that would include Julia.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Each of the teams in a mixed volleyball league consists of 5 men and 5 women.
There are 9 men and 10 women, including Julia, who are trying out for a team.
The number of combinations for men
= (9 × 8 × 7 × 6 × 5)/(1 × 2 × 3 × 4 × 5)
=126.
The number of combinations for women
= (10 × 9 × 8 × 7 × 6)/(1 × 2 × 3 × 4 × 5)
=252.
The number of the possible team would include Julia
(126 × 252) = 31,752.
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If f(x) = x3 – 2x2, which expression is equivalent to f(i)? –2 i –2 – i 2 i 2 – i
Answer:
Answer
d) 2 – i
Explanation
f(x) = x³ – 2x²
When x = i, we proceed as follows.
Note: i =
i² =(√-1)(√-1) = -1
i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i
f(x) = x³ – 2x²
f(i) = i³ – 2i²
= -i – 2(-1)
= -i + 2
= 2 – i
Step-by-step explanation:
PLEASE HELP ASAP
are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?
Answer:
To find the inverse of:
[tex]f (x)=\dfrac{4}{x-2}-1[/tex]
Set the function to y:
[tex]\implies y=\dfrac{4}{x-2}-1[/tex]
Rearrange to make x the subject:
[tex]\implies y+1=\dfrac{4}{x-2}[/tex]
[tex]\implies (y+1)(x-2)=4[/tex]
[tex]\implies xy-2y+x-2=4[/tex]
[tex]\implies xy+x=2y+6[/tex]
[tex]\implies x(y+1)=2y+6[/tex]
[tex]\implies x=\dfrac{2y+6}{y+1}[/tex]
Swap x and y:
[tex]\implies y=\dfrac{2x+6}{x+1}[/tex]
Change y to the inverse of the function sign:
[tex]\implies f[/tex][tex]\:^{-1}(x)=\dfrac{2x+6}{x+1}[/tex]
Rewrite g(x) as a fraction:
[tex]g(x)=\dfrac{3}{x+2}-2[/tex]
[tex]\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}[/tex]
[tex]\implies g(x)=\dfrac{3-2(x+2)}{x+2}[/tex]
[tex]\implies g(x)=\dfrac{3-2x-4}{x+2}[/tex]
[tex]\implies g(x)=-\dfrac{2x+1}{x+2}[/tex]
Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other
first to answer correctly will be marked brainliest
Answer:
D & B
Step-by-step explanation:
[tex]f(x)=(x-2)^{2} -3[/tex]
The vertex: (2, -3)
[tex]f(2)=(2-2)^{2} -3=0-3=-3[/tex]
Hope this helps
Answer:
1) D. f(x) = (x - 2)² - 3
2) B. (2, -3)
Step-by-step explanation:
hope this helps!
A company orders 27 boxed lunches from a deli for $194.40. Assume each boxed lunch is the same price. If C represents the total cost in dollars and cents of the lunch order for any number,b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context
[tex]C = 7.2b[/tex]
Step-by-step explanation:From the question we have that,
27 boxes --------------- $194.40
b boxes --------------- C
Using the Rule of Three we have that,
[tex]27C = 194.40b[/tex]
Since we want a function that represents C in terms of b ( C = f(b) ) we can isolate C on the equation,
[tex]C = \frac{194.40}{27}b = 7.2b[/tex]
help pls
y = -x + 4
y = x - 2
Answer:
Option c
(3,1)
Step-by-step explanation:
Solving system of equations:
y = -x + 4 ----------(I)
y = x - 2 -----------(II)
Add equation (I) & (II). So, x will be eliminated and we can find the value of y.
(I) y = -x + 4
(II) y = x - 2 {Now add}
2y = 2
Divide both sides by 2
y = 2/2
y =1
Substitute y = 1 in any of the equations. Here, we are substituting in equation (II)
1 = x - 2
1 + 2 = x
x = 3
…. I need help again oof
Answer:
m∠WVZ=90°
m∠XVW=90°
Step-by-step explanation:
m∠WVY=m∠WVZ+m∠ZVY
180°=9x-15°+90°
180°=9x+75°
180-75=9x
105°=9x
⇒x = [tex]\frac{35}{3}[/tex]
So. m∠WVZ is
[tex]=9(\frac{35}{3})-15=3\times35-15\\=105-15=90[/tex]
m∠WVZ=90°
and same will be the m∠XVW
m∠XVZ=m∠XVW+m∠WVZ
180°=m∠XVW+90°
m∠XVW=180°-90°
m∠XVW=90°
the volume of the right triangular prism shown below is 178.75 cubic feet. write and solve equation to find the value of x
Answer:
i think
Step-by-step explanation:
sorry i dont know the answer im just a children's
What's the answer? I need it asap.
"You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack. Write a paragraph with 4-5 sentences, following the RACE format, to explain how you calculate the answer."
h-hey baddie! UwU! The answer is 24. Hope this helps onichan!-
If 2^2x = 2^3, what is the value of x?
A 2/3
B 3/2
C 2
D 3
PLS HELP I USED ALL MY POINTS ON THIS I NEED HELP ASAP!!!!!!!!!! ʕ •ᴥ•ʔ
Answer:
(12, 6 )
Step-by-step explanation:
locate 12 cups of flour on the x- axis, then go vertically up to meet the line at (12, 6 )
that is 6 cups of sugar would be used with 12 cups of flour.
Find the degree you of this polynomial
-8x 4 squared
Hello, I was just doing some practicing for adding integers. I did some problems on my own and I was wondering if I am on the right track.
Answer:
Yes, It looks great! I would suggest moving on to a littler harder problems like dividing integers! You can also look up integers practice and they will give you problems to solvle! If you dont know how to do it yet then you can simply skip but, You are doing wonderful!!! Good job and Good luck!
Step-by-step explanation:
The cost of a taxi ride is $2 per mile plus an initial charge of $2.75. Sean spent $26.75. Write an equation that represents the situation l. Solve to find the number of miles that Sean traveled.
help me pls desperate please plspls
Area of semi circle = π r²/2
= π 20 × 20 / 2
= 200 π
= 628 cm² (approx)
Answer:
To the nearest whole number : 628
Step-by-step explanation:
The formula for the area of a circle is :
To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.
Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.
The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 . This is because a semi-circle is half of a circle.
1) Divide 40 by 2.
2) Multiply pi by 20 squared.
3) Divide 1256.64 by 2.
Janis was offered two different jobs when she graduated from college. she made the graph and table to show how much she would earn over time at each job. earnings over time for job 1 earnings over time for job 2 a graph entitled earnings over time for job 1 has year on the x-axis and earnings in dollars on the y-axis. a line with positive slope goes through (0, 40,000) and (10, 60,000). y = 2,000 x 40,000. a 2-column table entitled earnings over time for job 2 has 7 rows. the first column is labeled year with entries 10, 12, 14, 16, 18, 20, 22. the second column is labeled earnings in dollars with entries 55,000, 60,000, 65,000, 70,000, 75,000, 80,000, 85,000. when will janis’s salary be the same for job 1 and job 2, and how much will she be earning at that point? the salaries will be the same in year 20, and she will be earning $80,000. the salaries will be the same in year 16, and she will be earning $70,000. the salaries will be the same in year 12, and she will be earning $60,000. the salaries will be the same in year 10, and she will be earning $55,000.
The salaries will be the same in year 20 and she will be earning $80,000. So, the first option is correct.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We will first create an equation to represent the data.
To find the slope we use the formula
m = (y₂-y₁)/(x₂-x₁)
= (60,000-55,000) / (12-10)
= 5,000/2 = 2500
Writing this in point-slope form, we have
y-y₁ = m(x-x₁)
y-55,000 = 2500(x-10)
Converting to slope-intercept form,
y-55,000 = 2500 × x - 2500 × 10
y - 55,000 = 2500x - 25,000
y = 2500x + 30,000
Now we set this equal to the equation from the graph:
2500x + 30,000 = 2000x + 40,000
Subtract 2000x from both sides:
2500x + 30,000 - 2000x = 2000x + 40,000 - 2000x
500x + 30,000 = 40,000
500x = 40,000 - 30,000
500x = 10,000
x = 10,000/500
x = 20
The salaries will be the same in year 20.
y= 2000(20) + 40,000
y= 40,000 + 40,000
= 80,000
The salary in year 20 will be $80,000.
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1. Given that the third and sixth terms of an A.P. are 13 and 22 respectively, find the sum
of the first n terms in terms of n.
Answer:
1
+t
3
+t
5
=39
t
2
+t
4
+t
6
=51
To find:
t
10
=?
Solution:
Let a be the first term and d be the common difference.
t
1
+t
3
+t
5
=39
or, a+a+2d+a+4d=39
or, 3a+6d=39
or, a+2d=13 .............(i)
t
2
+t
4
+t
6
=51
or, a+d+a+3d+a+5d=51
or, 3a+9d=51
or, a+3d=17
Subtracting eqn. from eqn. we get,
d=4
Putting value d=4 in eqn.(i) we get,
a+2×4=13
or, a=13−8
or, a=5
Now, t
10
=a+9d
t
10
=5+9×4
t
10
=5+36
t
10
=41
help me out pls
What does obliviousness mean?
• 1.
being interested in something
• 2. being unaware of something
( 3. being impressed by something
hm
• 4. being confused by something
Answer:
Obliviousness: Being unaware of something.
Factor x3 – 7x2 – 5x 35 by grouping. what is the resulting expression? (x2 – 7)(x – 5) (x2 – 7)(x 5) (x2 – 5)(x – 7) (x2 5)(x – 7)
The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)
What is an expression?An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division
x^3 – 7x^2 – 5x + 35
factor the given equation
x^2(x – 7) – 5(x - 7)
Factor out x - 7
(x^2 - 5)(x - 7)
Therefore, the factored expression is (x^2 - 5)(x - 7)
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Answer:
c. (x^2 - 5)(x - 7)
Step-by-step explanation:
c. (x^2 - 5)(x - 7)