Which of the following is written as a rational function?
A. Q(x) = x2 + 6x-3
B. F(x)=x-5/3х
C. G(x) = -4x
O D. P(x) = 7x+1
Answer:
B
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Bob’s employer covers 23% of his family’s annual health insurance premium. the balance of the premium is deducted in equal amounts from bob’s paycheck 26 times over the calendar year. if $185.30 is withheld from each of bob’s paychecks, what is his family’s annual health insurance premium? a. $805.65 b. $4,817.80 c. $6,256.88 d. $20,946.96 please select the best answer from the choices provided a b c d
Bob’s employer covers 23% of his family’s annual health insurance premium has family's annual health insurance premium is $6,256.88.
What is an insurance premium?Insurance premiums are paid for policies that cover all the basic needs such as healthcare, home, and life insurance.
Health insurance premium:
Paychecks=$185.30 x 26
Paychecks=$4,817.80
To calculate insurance premium
Health insurance premium=$4,817.80/(100%-23%)
Health insurance premium=$4,817.80/77%
Health insurance premium=$6,256.88
In conclusion, his family's annual health insurance premium is c. $6,256.88.
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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 4x – 60. the cost, in dollars, of producing the toy cars can be modeled by 3x2 – x 200. the number of toy cars sold is represented by x. if the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x 140 5x – 260 5x 140
An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,
[tex]\rm Profit = Revenue - Cost[/tex]
[tex]= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260[/tex]
Thus, the expression that represents the profit made by the organization is 5x-200.
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Would be appreciated if anyone could please solve!!:)
Answer:
L' = (3,9)
M'= (9, -6)
N'=(-3,-3)
O'=(-6, 18)
Step-by-step explanation:
I got those points multiplied by 3
Find two numbers that multiply to 10 and add to 11
Answer:
2 and 5
Step-by-step explanation:
2*5 = 10 and +1 = 11
5*2 = 10 and +1 = 11
Answer:
it is 1 and 10
Step-by-step explanation:
1 x 10 = 10
and
1 + 10 = 11
domain and rage find the inverse
Answer:
Step-by-step explanation:
[tex]Solution,\\\\[/tex]
f(x)={(6,12),(7,11),(8,10),(9,9)}
Now,
Inverse of f(x)={(12,6),(11,7),(10,8),(9,9)}
Correct option is no C
Answer:
Option CStep-by-step explanation:
Given function :
(6, 12)(7, 11)(8, 10)(9, 9)An inverse function interchanges x and y coordinates of the ordered pair.
Therefore, the new coordinates are :
(12, 6)(11, 7)(10, 8)(9, 9)Option C is the right answer
Please help me with this problem!
Answer:
You were already correct! Good job :)
Step-by-step explanation:
1) False
2) True
3) True
4) False
Leonard, Brandon, and Emily are tossing a football. The distances they stand from each other are shown in the diagram at the right. To the nearest tenth, what is the measure of the angle with its vertex at Leonard?
33.4°
Step-by-step explanation:[tex]AB=22tt[/tex]
[tex]BC=34tt[/tex]
[tex]AC=40ft[/tex]
[tex]cos\ C=\frac{AC^2+BC^2-AB^2}{2AC\bullet BC}[/tex]
[tex]=\frac{{40}^2+{34}^2-{22}^2}{2\times40\times34}[/tex]
[tex]=\frac{1600+1156-484}{2720}[/tex]
[tex]=\frac{2272}{2720}=\frac{71}{85}[/tex]
[tex]< c=arccos\left(\frac{77}{85}\right)\ \ \ \ \ \left\{\begin{matrix}the\ nearest\ tenth\\0.1\\\end{matrix}\right\}[/tex]
[tex]< C\thickapprox 33.4\textdegree[/tex]
[tex]Answer:33.4\textdegree[/tex]
I hope this helps you
:)
2 1/2 dozen roses cost $40.50 what is the cost of a single rose
,
Answer:
$1.35
Step-by-step explanation:
=> No. of roses in a dozen = 12
=> No. of roses in half dozen = 12/2 = 6
=> No. of roses in 2 1/2 dozen = 2(12)+6 =30
=> 30 roses costs for $40.50
=> Cost of single rose = 40.5/30 = $1.35
A student has $350.00 in her account and withdrew 3/5 of it . how much money , in dollars, remains in the account
a whole, fraction wise, is always 1, so in this case we're looking at a whole of 5/5 = 1, and she withdrew 3/5, so what remained is 2/5
[tex]\cfrac{5}{5}\qquad \qquad \cfrac{5}{5}-\cfrac{3}{5}\implies \cfrac{5-3}{5}\implies \cfrac{2}{5}~\hfill 350\left( \cfrac{2}{5} \right)\implies \boxed{140}[/tex]
42 degrees = x, what is the answer?
Answer:
0.736 radians
Step-by-step explanation:
Assuming you want the measure of this 42-degree angle in radians, multiply 42 degrees by the conversion factor
1 rad
--------------
57.1 deg
The result: 42 degrees = 42/57.1 radians ≈ 0.736 radians
PLEASE HELP!! DUE SOON!!! I NEED THIS TO PASS TO GET MY GRADE UP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.
Q.1. A school trip to a museum cost $2,056. A total of 125 chaperones and students went on the trip. Adult admission to the museum costs $23, and student admission costs $16. How many chaperones and students went to the museum?
Q.2. A shoe company charges $100 per month, plus $75 per pair of shoes, to supply a retail store with shoes. It costs the shoe company $30 per pair of shoes for supplies, plus $1,225 per month in bills to operate the factory. How many shoes does the company need to sell to a store per month to break even?
Q.3. At a concession stand, three hot dogs and two drinks cost $13.50. Four hot dogs and three drinks cost $19. How much does a drink cost?
Q.4. One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?
Q.5. The potter at a pottery store makes two sizes of vases. The larger size takes six hours to make, and the smaller size takes 1.5 hours to make. The potter works 30 hours a week. She needs to make at least six total vases a week, including at least two of each size. Give one example of how many of each type of vase the potter can make.
Answer:
Q1. =213 Q.2 2145 Q.3 =23.2$ Q.4 53 Q.5 10.5
Step-by-step explanation:
URGENTLY NEEDING HELP!!!!
Answer:
Its B -15i+6j
Step-by-step explanation:
What type of relation is described by y=3^x +2?
A. Quadratic
B.Linear
C.Exponential
D.Polynomial
E.Asymptotic
Answer:
It's Exponential.
because there is an exponent.
What is the area of the shaded sector of the circle?
A: 9π units²
B: 27π units²
C: 81π units²
D: 162π units²
Answer:
B: 27π units²
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
where:
[tex]\theta[/tex] is the angle[tex]r[/tex] is the radiusSolutionGiven:
[tex]\theta[/tex] = 120°[tex]r[/tex] = 9Substituting given values into the formula:
[tex]\begin{aligned}\implies \textsf{Area of a sector of a circle }& =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\ & = \dfrac13 \cdot \pi \cdot 81\\ & = 27 \pi\: \sf units^2\end{aligned}[/tex]
The area of the asked sector is 27π units².
What is a sector of a circle?A sector of a circle is a portion or part of a circle that is composed of an arc and its two radii.
Given that a circle L, we radius 9 and a central angle of 120°, we need to find the area of the sector, which is intercepted by the central angle,
So,
The area of a sector of a circle = central angle / 360° × area of the circle,
So,
A = 120°/360° × π × 9²
= 1/3π × 81
= 27π
Hence, the area of the asked sector is 27π units².
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What is 3 over 1/2 + (-6)-(-1 over 1/2 - 9 over 3/4 simplified?
−110 − (−83) =
A) −193
B) −27
C) 31
D) 193
Answer:
-27
Step-by-step explanation:
[tex]-110-(-83) = -110 +83=-27[/tex]
the next model of a sport car will cost 14.9% more than the current model. The current costs $52,000. how much will the price increase in dollars ? what will be the price of the next model
Answer:
what will be the price of the next model= 59,748
Step-by-step explanation:
7748 is 14.9% of 52000
Solution:
What is 14.9% of 52000?
Y is 14.9% of 52000
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 14.9% * 52000
Converting percent to decimal:
p = 14.9%/100 = 0.149
Y = 0.149 * 52000
Y = 7748
To find the price for the next model
7748 + 52000
=> 59,748
A space ship travels at 5 22 miles per hour and traveled continuously for 5 14 hours.
Ta g Enter the answer, in the form of x y, that represents how many miles the space ship traveled.
Answer:
5 ^ 36 miles
Step-by-step explanation:
5^22 m/hr * 5^14 hr = 5^(22+14) miles = 5^36
Maggie is making bags of trail mix for hiking club. She will use 20 ounces of walnuts, 11. 2 ounces of almonds, and 24. 3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
2.22
Step-by-step explanation:
Olga decorates blankets with ribbons. She has 12 yards of ribbon. She uses 22 feet of ribbon to decorate blankets. After decorating the blankets, how many feet of ribbons are left?
Answer:
14 feet
Step-by-step explanation:
So first you convert the 12 yards to feet; now you will get 36 feet. If she uses 22 feet, you subtract 22 from 36 to get the answer of 14 feet of ribbon
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
O d. 720°
Step-by-step explanation:
The given polygon has 6 sides.
The sum of the interior angles can be found by the formula :
(2n - 4) x 90°[2(6) - 4] x 90°8 x 90°720°I WILL GIVE YOU BRAINLY CROWN PLS HELP
A movie theater sells two sizes of popcorn, large and small, in bags shaped like rectangular prisms. The small bag has a height of 5.5 inches, a length of 5 inches, and a width of 3 inches. The large bag has the same width and length as the small bag, but two times the volume. What is the height of the large bag of popcorn?
the solution is:
u should at the first find the volume of the small bag that V= LWH ( Lenght, width, height)
so it will be 82.5
since the Volume of the large bag is 2 times the volume of the small bag so the volume of large bag will be 165
so H = V / LW
H = 165 / 5×3
H = 165 / 15
So the Answer is H = 11
order 130 in, 4 yd in 10 ft from greatest to least
Answer: 4 yd, 130 in, 10ft
Step-by-step explanation:
So first you turn everything into inches
130 inches is already in inches.
4 yards = 12 ft
1ft = 12 in
12 *12 = 144 in
so 4 yards is 144 inches
10 ft = 12*10
12*10 = 120
so 10ft is 120 inches
144 inches is the greatest and 120 inches is the least.
The answer needs to be in the original form.
Write an equation for the value of y in terms of x. Then solve the equation for x.
I don't know what to do when there are 2 missing variables
Answer:
Just do,
Step-by-step explanation:
(X x Z) = Y
(X/Z) = Y
Write 894,217 in expanded form and using number names
Answer:
800,000+90,000+4,000+200+10+17= 894,217
Eight Hundred thousand+ Ninety thousand+ Four thousand+ Two hundred+ Ten+ Seven= 894,217
Step-by-step explanation:
Judy has made 7 t-shirts. Each day she makes 4 t-shirts. Harry had made 11 t-shirts and makes another 3 t-shirts every day. How many total t-shirts will Judy and Harry have made after 6 days?
Answer:
60
Step-by-step explanation:
So deal with Judy then Harry
JUDY:
6 days x 4 t-shirts per day = 24 t-shirts
+ 7 t-shirts made before = 31 altogether
HARRY:
6 days x 3 t-shirts per day = 18 t-shirts
+ 11 t-shirts made before = 29 altogether
JUDY & HARRY:
Now combine both
31+29=60 t-shirts
Hope that helped! Any questions just ask! :)
A trapezoidal frame measures 80 cm on one side and 100 cm on the other side. Of it is 50 cm across, what is its area
Answer:
Okay si the formula to find a trapzoid frame is 1/2 • H ( b1 + b2 )
Step-by-step explanation:
1. add the two bases
2. mutiply it by the height
3. divide it by 2
what are 3 fractions that are equivalent to 4/4
Answer:
A fraction equivalent to 4/4 is 8/8 and 9/9 and 10/10 and 11/11 and 12/12 and 16/16 To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.
Step-by-step explanation:
hope this helps if not let me know
Answer:
8/8 , 12/12, 16/16
Given:
A fraction 4/4.
To find:
An equivalent fraction to a given fraction.
Solution:
A fraction equivalent to 4/4 is 8/8.
To answer this question, first of all, we should know that the equivalent fractions of a number or value are the fractions having different numerators and denominators but when simplified they are all equal to the same value or number.
There is no limit to equivalent fractions of a given number.
Now,
we have,
a fraction 4/4,
To get its equivalent fraction, we will multiply the same number in its numerator and denominator.
Let's multiply 2 in both numerator and denominator of 4/4.
We get
4x2/4x2 = 8/8
So, an equivalent fraction to 4/4 is 8/8.
In notice of this 12/12 and 16/16
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Todd plans to swim 18 laps in the pool. Each lap is 50 yards. So far, Todd has swam 738 yards. What percentage of the total has Todd completed?
Answer:
82%
Step-by-step explanation:
18 x 50 = y
738 divided by y = percentage
18 x 50 is 900.
738 divided by 900 is 0.82, or 82%.