In the scenario above, James can we create a function to combine the two by f ( x ) = 8 x + 118.
What is the simplification about?In the question above, to be able to create a function, we have to show that;
s ( x ) = 102
a ( x ) = 8 ( x + 2 )
So, a function that combines the two will be:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
Therefore f ( x ) = 8 x + 118
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Members of a soccer team raised $1511 to go to a tournament. They rented a bus for $933.50 and budgeted $38.50 per player for meals. Determine the number of players the team can bring to the tournament.
hurry pls
The number of players in the team would be 15 which can bring to the tournament.
A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Let the number of players would be x
As per the given information, the required solution would be as:
Total budget = (per player meal)(x players) + bus rent
1511 = 38.50x + 933.50
Rearrange the terms and solve for x
1511 - 933.50 = 38.50x
577.50 = 38.50 x
Divide both sides by 38.50 into above equation,
x = 15
Therefore, the number of players in the team would be 15 which can bring to the tournament.
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Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50
Please do step by step as to how you got the answer
Answer:
A
Step-by-step explanation:
We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.
We will use simple interest formula to solve our given problem.
I= prt
i= amount of interest
p=principal amount
r= interest rate in decimal form
t= time in years
4.1%= 41/100= 0.041
$16,500 times 0.041 - $15,000 times 0.041
(16,500- 15,000) times 0.041
(1,500) times 0.041
So the answer is $61.50
I hope this is right, have a nice day.
Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)
In order to find equation, first find slope:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]
Given points: (-3, 7) and (6, -5)
[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]
Equation:
[tex]\sf y- y_1 = m(x - x_1)[/tex]
insert values
[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]
Is cos²α the same thing as cosα²?
Answer:
No, it is not the same thing.
Step-by-step explanation:
Hope this helps!
What is the area of the triangle below?
On a coordinate plane, a triangle has a base of 6 units and a height of 9 units.
27 square units
45 square units
54 square units
90 square units
Answer:
27 units
Step-by-step explanation:
6 (base) × 9 (height) = 54
54 × 1/2 = 27
PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³
Answer: B
[tex]f(x) = 7x-2[/tex] and [tex]g(x) = \frac{x+2}{7}[/tex]
How to solve:
check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)
f[g(x)] = x
g[f(x)] = x
Step-by-step explanation:
Checking A.
[tex]f(x) = \frac{5}{x} -2[/tex]
[tex]g(x) = \frac{x+2}{5}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]
This does not equal x, so we know these are not inverses
Checking B.
[tex]f(x) = 7x-2[/tex]
[tex]g(x) = \frac{x+2}{7}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]
[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]
since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.
If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.
Answer:
Step-by-step explanation:
Help please i need this
Answer:
i can't see the question i would love to help though
Step-by-step explanation:
Please help me with this
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving.
part A:Find D(12) and interpret the meaning in the context of the problem.
part B: If D(t)=2490, find the value of t and interpret its meaning in the context of the problem.
Considering the given function, we have that:
a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
What is the function in this problem?The distance that the family is from home, after t hours of driving, is given by:
D(t) = 3260 - 55t.
Then, after 12 hours, the distance is given by D(12), that is:
D(12) = 3260 - 55 x 12 = 2600.
D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
D(t)=2490, hence:
3260 - 55t = 2490
55t = 770
t = 770/55
t = 14
D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
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Simplify the expression: 4+(11-3)²
Answer:
68
Step-by-step explanation:
[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)
[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]
Please help it’s easy, State the property that is used. 10=10•1
The property identity of multiplication is applied in the given statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFrom the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.
The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.
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If Q, DE=FG. Which must be true? Select all that apply.
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.
Can someone give me the steps to solving this?
Answer:
[tex]\tan \theta = \dfrac{8}{15}[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}[/tex]
[tex]\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}[/tex]
Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
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A jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row
Answer:
2,4,8,11,22, or 44
Step-by-step explanation:
To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.
Hope this helps! :)
x⁶y⁴/xy²
how would I simplify?
Answer choices:
A: x⁵y²
B:x⁶y²
C:x²y⁵
D:(xy)⁷
Step-by-step explanation:
please mark me as brainlest
Perform the indicated operation
Answer:
Step-by-step explanation:
When θ = 0, cos θ = 1. What is the next radian value that will result in cos θ = 1?
Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
what is the slope of the line graphed below?
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
You are packing for a road trip and you buy snack packages (same size, same weight) for the trip. you buy 6 potato chips, 5 doritos, and 3 corn curls. you put them in a bag and mix them up. during the trip, you reach into the bag and pull out two packages at random, one at a time. draw a tree and calculate the probability of each outcome. use p for potato chips, d for doritos, and c for corn curls. what is the probability of picking two snacks of the same type?
The probability of picking two snacks of the same type is 0.308.
How to calculate the probability?The probability of picking 2 potato will be:
= 6/14 × 5/13
= 0.429 × 0.385
= 0.165
The probability of picking 2 doritos will be:
= 5/14 × 4/13
= 0.357 × 0.308
= 0.110
The probability of picking 2 corn curls will be:
= 3/14 × 2/13
= 0.214 × 0.154
= 0.033
Therefore, the probability of picking two snacks of the same type will be:
= 0.165 + 0.110 + 0.033
= 0.308
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find the values of y
y² =225
AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96
Answer:
BStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseThe compound interest formula can be rewritten as
P = A/(1 + r/n)nt.
Find the principal P that you need to invest on the day your child is born at 4.2% annual interest compounded quarterly to make your child a millionaire on his or her 21st birthday. (Round your answer to the nearest cent.)
Answer:
Compound interest, or 'interest on interest', is calculated using the compound interest formula.
The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Step-by-step explanation:
a letter is chosen from the nine letters in the word "bumblebee." what is the probability the letter is a b or an e?
statistics and probability
Answer:
2/3
Step-by-step explanation:
Probability (b or e) :
⇒ There are 3 b's and 3 e's in the word "bumblebee"
⇒ P (b or e) = No. of b's and e's / Total letters
⇒ P (b or e) = 3 + 3 / 9
⇒ P (b or e) = 6/9
⇒ P (b or e) = 2/3
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,