Step-by-step explanation:
Let the price of CD, tshirt and jeans be x,y and z respectively.
given:
x+2y+2z=133......(i)
y=x+13.......(ii)
2z=y+30....(iii)
in eqn (iii) ,
2z=y+30
or, 2z=x+13+30
or, z=(x+43)/2....(iv)
now in eqn (i),
x+2y+2z=133
or, x+2(x+13)+2((x+43)/2) =133
or, x+2x+26+x+43=133
or, 4x=133-69
or, x= 64/4
•°• x=$16
1
Select the correct answer.
The graph shows the quadratic function f and the table shows the quadratic function &
f(x)
4
2
X
2
14
M
Х
-5
-4
-3
-2
-1
0
1
g(x)
10
7
6
7
10
15
22
Which statement is true?
Answer:
g(x)
because it is a quadratic equation it is mirrored the other one isn’t even a function
The true statement is The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The function g has the axis of symmetry as x = 2, since the values of the function below and above x = 2 changes in the same way.
The function f is a parabola.
The axis of symmetry is also x = 2, since the graph is the same before and after the line x = 2.
So the both the functions have same axis of symmetry.
Maximum value of the function f = 4 at x = 2. Since no other values of f is greater than 4.
At x = 2, the value of g = 3
Maximum value of g = 3
So, maximum value of f is greater than the maximum value of g.
Hence the correct option is B.
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Your question is incomplete. The complete question is as given below.
The graph shows the quadratic function f and the table shows the quadratic function g.
x : -2 -1 0 1 2 3 4
g(x) -1 0.75 2 2.75 3 2.75 2
Which statement is true?
The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
The functions f and g have different axes of symmetry and different maximum values.
The functions f and g have the same axis of symmetry and the same maximum values.
Solve the triangle. round your answer to the nearest tenth
Answer:
∡A =41°
~~~~~~~~~~~~
BC=21
~~~~~~~~~~~~~~
sin(24)/AC=sin(41)/21
AC=13
~~~~~~~~~~~~~~
sin(115)/AB=sin(41)/21
AB=29
Step-by-step explanation:
A drinks factory packed their drinks into red and yellow boxes. There were 24 more red boxes than yellow boxes. Each red box contained 60 packets of milk and each yellow box contained 75 packets of fruit juice. There were 120 fewer of milk than packets of fruit juice in all
boxes.
(a) How many yellow boxes were used ?
(b) How many packets of milk were packed into the the red boxes?
Answer:
A) 128
B) 7800
Step-by-step explanation:
Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120
How much wrapping is needed to cover a cubed gift box that is 9 inches high? (Include the bow which takes 115 sq. inches.)
Answer:
601 in²
Step-by-step explanation:
To obtain the amount of wrapping needed to cover the cube shaped gift box, including the bow
Area of bow = 115 in²
Surface area of cube shaped box = 6a²
a = side length of cube = 9
Hence,
Surface area of gift box = 6 * 9²
Surface area = 6 * 81 = 486 in²
Total wrapping required = area of gift box + area of bow = (486 in² + 115 in²) = 601 in²
What is the point slope equation of a line with slope -3 that contains points (-8,-4)
Answer:
y+4=-3(x+8)
Step-by-step explanation:
The mathematics department of a college has 6 male professors, 12 female professors, 14 male teaching assistants, and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.
The probability is ___.
(Type an integer or a fraction. Simplify your answer.)
Answer:
37/43
Step-by-step explanation:
6+12+14+11=43
Males: 6+14=20
Females: 11+12=23
If the selected person is a teaching assistant or a female, then the probability is 11+12+14=37. 37/43
Which is the graph of the equation y- 1 =} (x 3)?
10
06
6 4
(9,5)
3.1)
1
-10-A-22
2 4 6 8 10 x
4
od
wo
10
6
1. The lease common multiple of 3, 4, 6, and 8 is
OA. 8.
OB. 24.
O C.72.
OD.96.
Answer:
B. 24.
Step-by-step explanation:
3
4 = 2*2
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24
I need help answer asap
9514 1404 393
Answer:
A
Step-by-step explanation:
To form the conjugate, change the sign between terms. Leave the radical alone.
the conjugate is √(x-5) +2 . . . . matches choice A
[tex]\huge\bold\pink{ANSWER} [/tex]
===========================================
A
[tex] \sqrt{ \times - 5 + 2} [/tex]
tsurezure children
#BrainliestBunch
Which side of XYZ is the longest?
A. xy
B. xz
C. yz
D. cannot be determined
Answer:
the answer is x because its small
Answer:
Step-by-step explanation:
It’s Xy
What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101 . . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256 . . .?
Answer:
a.
[tex] \frac{36}{40} [/tex]
I really need help!!!
Answer:
the third option (a=1, h=0, k=6)
Step-by-step explanation:
if I understand correctly what your teacher wants from you, then you need find a (the factor of x² in the equation) and the vertex (turnaround point) of the parabola represented by such a quadratic equation.
the vertex point coordinates are called (h, k).
the general form of such an equation equation is
y = ax² + bx + c
so, we have a right away : a=1
now we can make this quickly by using common sense, or a bit more complex by going through mathematical formulas.
the fast, practical way is to know that y=x² is the very basic parabola with its vertex at (0, 0).
y = x² + 6 is simply the same parabola just lifted up (y direction) by 6 units, that makes the vertex (0, 6).
in pure theory, though, we need to find the transformation from the general y = ax² + bx + c form to
y = a(x - h)² + k
we see right away that k = f(h) = h² + 6
y = a(x² - 2xh + h²) + k
a=1
y = x² - 2xh + h² + k = x² - 2xh + h² + h² + 6 =
= x² - 2xh + 2h² + 6
comparing with y = x² + 6
we know that
-2×h = 0
as we have no term with just x.
=> h = 0
2h² + 6 = k
2×0² + 6 = 6 = k
how many distinct permutations can be formed using the letters of the word robberies
Answer:
45360 arrangements
Step-by-step explanation:
Given the word 'robberies'
Number of letters = 9 letters in total
Repeated letters ; r = 2 ; b = 2 ; e = 2
Therefore, the number of distinct arrangement of letters is :
(total letters)! / repeated letters!
The number of distinct arrangement of letters is :
9! / (2! * 2! * 2!) = (9*8*7*6*5*4*3*2*1) / (2*2*2)
362880 / 8 = 45360 arrangements
14. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
A. y = x + 6
B. y = x - 6
C. y = X
D. y = -x
Answer:
D.
Step-by-step explanation:
2=-2，3=-3
2²=-2²，3²=3²
Armando planted a 9-inch tall magical beanstalk. The height of the beanstalk increases by 13% each day. Write a function f that determines the height of the beanstalk in inches in terms of the number of days t since Armando planted the beanstalk.
Answer:
F(t) = 9(1 + 0.13)^t
Step-by-step explanation:
Given :
Height of beanstalk = initial height = 9 inches
Percentage increase in height per day = 13%
This plant exhibits an exponential increase in growth per day, hence, the function will be modeled using an exponential function.
Using an exponential function :
F(t) = initial height(1 + percentage increase)^t
Where, t = number of days since tree was planted.
The function is :
F(t) = 9(1 + 0.13)^t
Help please guys thanks
Answer:
D
Step-by-step explanation:
sqrt_{4}(81)^5=(81^(5))^(1/4)=81^(5/4)
Answer:
D
Step-by-step explanation:
if it was properly typed, it would have been All of the above but the most correct option is D.
7
Abdul's gas tank is
1
3
full. After he buys 12 gallons of gas, it is
full. How many gallons can Abdul's tank hold?
9
Answer:
27
Step-by-step explanation:
Let T be the capacity of the tank.
Since the tank was 1/3 full and ends up 7/9 full.
[tex]\frac{7}{9}[/tex]T - [tex]\frac{1}{3}[/tex]T = 12
Simplifying the left side of the equation, tells us how much 12 gallons fills.
[tex]\frac{4}{9}[/tex]T = 12
Now we solve for T:
T = 12*9/4
T = 27
PQRS is a parallelogram of area 18 cm. if PQ = 5 cm & QR = 4 cm. calculate the lengths of corresponding heights ?
Answer:
2cm
Step-by-step explanation:
area of parallelogram=b*h=18cm
5*4=20
length of corresponding heights=20-18
=2cm
the length of corresponding height of the parallelogram is : 2cm
Meaning of a parallelogramA parallelogram can be defined as a simple quadrilateral that is it possesses four sides and two pairs of parallel sides.
A opposite sides of a parallelogram are equal and the opposite angles of a parallelogram are equal.
In conclusion, the length of corresponding height of the parallelogram is : 2cm
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An investment of $8,120 is earning interest at the rate of 5.8% compounded quarterly over 11 years. How much
interest is earned on the investment? Show your work.
Answer:
5180.56 Dollars...........
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four
times the measure of the first angle. The third angle is 10 more than the second. Let , y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
9514 1404 393
Answer:
(36°, 67°, 77°)
Step-by-step explanation:
The problem statement lets us write the equations ...
x + y + z = 180 . . . . sum of angles in a triangle
y + z = 4x . . . . . 2nd and 3rd total 4 times the first
z = y +10 . . . . . . 3rd is 10 more than 2nd
__
Substituting for z in the second equation, we have ...
y +(y +10) = 4x
y +5 = 2x . . . . . . divide by 2
y = 2x -5 . . . . . . rearranged
z = 2x +5 . . . . . . substitute for y in the last equation
Now, we can write the first equation entirely in terms of x:
x +(2x -5) +(2x +5) = 180
5x = 180
x = 36
y = 2(36) -5 = 67
z = 67 +10 = 77
The three angles are (x, y, z) = (36°, 67°, 77°).
Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.
The Minimum sample size table is attached below
Answer:
[tex]X=173[/tex]
Step-by-step explanation:
From the question we are told that:
Confidence Interval [tex]CI=99\%[/tex]
Variance [tex]\sigma^2=30\%[/tex]
Generally going through the table the
Minimum sample size is
[tex]X=173[/tex]
What is the value of p?
A. 125°
B. 45°
C. 35°
D. 550
Answer:
C- 35 °
Step-by-step explanation:
Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).
Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).
Sum of two interior angles of the triangle = 55+90 = 145°
∠p = 180° - 145° = 35°
Six sophomores and 14 freshmen compete
Answer:
(6C1)(5C1)/20C2
Step-by-step explanation:
Was right on egde
state and prove Bayes Theorem
Answer:
Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.
For prove refer to the attachment.
Hope this helps you^_^
Determine the dimension of the vector space. M4,2
STEP 1: Determine the number of linearly independent vectors needed to span M4,2. The basis for M4,2 has linearly independent vectors.
STEP 2: Using the result from Step 1, determine the dimension of M4,2.
Answer:
STEP 1
M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.
Hence its basis has 8 linearly independent vectors.
STEP 2
Dimension= cardinality of basis = 8.
Can you provide a solution or a formula?
144 x 1.25 = 180
Answer: 144
Answer:
144
Step-by-step explanation:
144 × 1.25 = 180
We add the 1 to .25 to represent the original value plus the 25% increase.
Or you could have divided 180 by 1.25 to find original price.
Compare the functions shown below:
f(x) = 7x + 3 g(x) tangent function with y intercept at 0, 2 h(x) = 2 sin(3x + π) − 1
A canoeist paddled down a river a distance of 2 miles in 45 minutes. Paddling up-stream on his return, it took him 90 minutes. Find the rate of the canoe in still water.
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)= sqrt of x [0,9]
c =
Answer:
9/4
Step-by-step explanation:
f(x) is continuous and differentiable on (0,9).
We want to find c using the following equation.
f'(c)=(f(9)-f(0))/(9-0)
This will require us to find f'(x) first.
f(x)=sqrt(x) is the same as f(x)=(x)^(1/2)
Using power rule to differentiate this gives f'(x)=(1/2)(x)^(1/2-1) or simplified f'(x)=(1/2)x^(-1/2) or f'(x)=1/(2x^(1/2)).
So we want to solve:
(1/2)c^(-1/2)=(f(9)-f(0))/(9-0)
Simplify denominator on right:
(1/2)c^(-1/2)=(f(9)-f(0))/9
This will require us to find f(9) and f(0).
If f(x)=sqrt(x), then f(9)=sqrt(9)=3 and f(0)=sqrt(0)=0.
So we have the following equation so far:
(1/2)c^(-1/2)=(3-0)/9
Simplify numerator on right:
(1/2)c^(-1/2)=3/9
Multiply both sides by 2:
c^(-1/2)=6/9
Raise both sides to the -2 power:
c^(1)=(6/9)^(-2)
Note c^1=c:
c=(6/9)^(-2):
Note negative exponent means to find reciprocal of base to change exponent to opposite
c=(9/6)^2
Apply the second power:
c=81/36
Reduce by dividing top and bottom by 9:
c=9/4
This means the slope of the tangent to the curve f at x=9/4 is the same value as the slope of the secant line going through points (0,0) and (9,3).
Also 9/4 is between 0 and 9... According to the theorem we were suppose to get a value c between x=0 and x=9.
Confirmation:
Slope of the secant line is (3-0)/(9-0)=3/9=1/3.
Slope of the tangent line to curve f at x=9/4.
f'(x)=(1/2)x^(-1/2)
f'(9/4)=(1/2)(9/4)^(-1/2)
f'(9/4)=(1/2)(3/2)^(-1)
f'(9/4)=(1/2)(2/3)
f'(9/4)=1/3
They are indeed equal values (talking about the 1/3 from the secant and the tangent.)
PLEASE HELPPPPPPPPPP
Answer: SORRY NEED AN ACCOUNT ON - 10
Step-by-step explanation:
To resolve the proposed issue, an explanation is needed in which the subject is addressed
