Answer:
C) -1/4
Step-by-step explanation:
respuesta .... es la opcion c
You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee of $50 plus a monthly fee of $20. Zipity-zapity- zap-that-fat charges $70 to join, but only $10 per month. After how many months do the gyms cost the same? a) Declare your variables:
c) Solve
b) Write a system of equations:
The number of months when the gyms cost the same is 5 months.
When would the cost be the same?Total cost of joining the gym = registration fee + (cost per month x number of months)
Hunkey Heros = $50 + $20m Zipity-zapity- zap-that-fat = $70 + $10mWhen the gyms costs are the same, the two above equations would be equal to each other:
50 + 20m = 70 + 10m
20m - 10m = 70 - 20
10m = 50
m = 50 / 10
m = 5
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(2x³+4x²-x+8) / (x² + 3x + 2)
[tex]\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\[/tex]
Factorise completely 12 x³y - 18 xy²
..:
[tex]12 {x}^{3} y - 18x {y}^{2} \\ [/tex]
Factor out 6xy:
[tex]\boxed{(6xy)(2 {x}^{2} - 3y)} [/tex]
(which is the maximum you could get(atleast in this problem))
Does the table represent a function? Why or why not?
X
y
4
5
OA. Yes, because there is the same number of x-values as y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C. No, because two of the y-values are the same.
O
D. No, because one x-value corresponds to two different y-values.
579
03232
The correct answer is option D which is No because one x-value corresponds to two different y-values.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
We can see from the table that the value of x at 5 is giving two different values of y that is 2 and 3. For a function, it is not possible to have two different outputs for the same input.
Therefore the correct answer is option D which is No because one x-value corresponds to two different y-values.
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Two urns contain blue and green balls. urn 1 contains 3 blue balls and 4 green balls. urn 2 contains 7 blue balls and 16 green balls.
1. if a blue ball is drawn, what is the probability that it came from urn 2?
2. if a green ball is drawn, what is the probability that it came from urn 1?
Answer: 3/20
Step-by-step explanation:
Probability of drawing a blueball from Urn I is
PI=66+4=610
Probability of drawing a blue ball from Urn II is
PII=22+6=28
Probability that both balls are blue
P=PI⋅PII=610⋅28=320
Solve (4x+1) - (3x-4)
Answer:
= x + 5
Step-by-step explanation:
(4x+1) - (3x-4)
= (4x+1) -3x + 4
= 4x - 3x + 1 + 4
= x + 5
help help help help help help
Answer: 95 cm³
Step-by-step explanation: To find the volume of any prism, you have to multiply the base × width × height.
In this case, this 3D shape is split into 2 parts.
The first part's dimensions are 8×5×2. So the volume is 80 cm³.
The second part's dimensions are 1×3×5. So the volume is 15 cm³.
Finally, you add both volumes together, and the final answer is 95 cm³.
Help to solve give brainliest
Answer:
(B) 32Step-by-step explanation:
equation of The line L : y = -(1/2)x + 6
A(8 , b) ∈ L then b = -(1/2)(8) +6 then b = -4 + 6 = 2
Therefore ,
A(8 , 2)
AB = 2
CD = 6
BC = 8
…………………………………………
Area of the trapezoid ABCD
= (CB÷2)×(AB + CD)
= (8÷2)×(6+2)
= 32
At a sale this week,a table is being sold for $476.This is a 15% discount from the original price.
Answer:
547.40
Step-by-step explanation:
476*15%
15 percent *476
= (15/100)*476
= (15*476)/100
= 7140/100 = 71.40
71.40 + 476 = 547.40 as original price
11 Select the correct answer. The equations and are graphed on the coordinate grid. How many real solutions does the equation have? A. 0 B. 1 C. 2 D. cannot be determined from the graph
PLA HELP ME ITS DUE TOMORROW
Step-by-step explanation:
To Find the number of people in the survey = 36+28+14+12+10 => 94The least prefer mode of transportation is Taxi , as we can see is is preferred by 10 peoples.Most preferred transportation is Bus which was preferred by 36 people.Number of persons who prefer to ride the motorcycle is 12.EASY QUESTION Miguel plots points A, B, and C in the coordinate plane.
A. Distance between A and B is: 5 units.
B. Triangle ABC is not an equilateral triangle because only two of its sides are equal.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length.
Given the vertices with their coordinate points as:
A (-3, 2)
B (-6, -2)
C (0, -2)
Use the distance formula, [tex]d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find AB, BC, and AC:
AB = √[(−6−(−3))² + (−2−2)²]
AB = √25
AB = 5 units
BC = √[(−6−0)² + (−2−(−2))²]
BC = √36
BC = 6 units
AC = √[(−3−0)² + (2−(−2))²]
AC = 25
AC = 5 units
Only two of the sides of the triangle, AB and AC, are equal. Therefore, it is not an equilateral triangle.
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PLEASE HELP I’LL MAKE YOU THE BRAINIEST
write the ratio for tan A
Answer:
tan A = 5/12
Step-by-step explanation:
The tangent ratio is equal to the length of the side opposite of the angle over the length of the side adjacent to the angle. If we are finding tangent in respect to angle A, the opposite side would be line CB with a length of 5. The adjacent side is line AC with a length of 12. Therefore, the tan A ratio is 5/12.
PLS HELP ASAP find the measure of side b. round to the nearest whole number
Answer:
b=204
Step-by-step explanation:
The law of sine states that: [tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: [tex]180-90-41=49[/tex]°.
Using these two things, we can come up with the equality [tex]\frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}[/tex], which we can use to solve for side b.
[tex]\frac{Sin90^o}{270} =\frac{1}{270}[/tex], so we know that [tex]\frac{1}{270} =\frac{Sin49^o}{b}[/tex].
Next, we would multiply both sides by b to get [tex]\frac{1}{270}b=Sin49^o[/tex].
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)
Please help me with this question....
Answer:
A x+2 would move the coordinate 2 units to the right while (x)+2 would move the coordinate 2 up and 2 to the right
Step-by-step explanation:
sorry i couldnt do the second part i ran out of time
FIND AREA OF THE FIGURE
when receiving this kind of questions, you just need to find a figure that you can calculate the area of or split the figure in multiple figures that you can calculate.
2x(x-5)-x(3+2x)=26
help me pls
Answer:
x=−2
Step-by-step explanation:
hope it helps yaa
A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). What are the values of h and v? To find the value of a, subtract the y-coordinate of the vertex from the y coordinate of the point on the parabola that is 1 unit to the right of the vertex. Find the value of A for the parabola
The value of a is 1/4 and the value of h and k is (2,-7/4)
What is a Parabola ?A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
Now to determine the value of focus point , (h,k)
(h = 2)
k = - 2 +1/4 = -7/4
Therefore The value of a is 1/4 and the value of h and k is (2,-7/4)
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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.
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
Iman has 48 months to save $18,000, the maximum amount he estimates his first year of college will cost. he does not want to depend on interest, and does not consider interest when determining his minimum monthly savings goal. what is the minimum amount he should save per month to achieve his goal? $350.00 $375.00 $425.00 $450.00
Answer:
$ 375 / month
Step-by-step explanation:
$ 18 000 / 48 months = 375 /month
The minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
Given that:
Number of months = 48
Monthly savings = $18,000
The minimum amount to save per month can be calculated by dividing the total amount by the number of months:
Minimum monthly savings goal = Total amount to save / Number of months
Minimum monthly savings goal = $18,000 / 48
Minimum monthly savings goal ≈ $375.00
Therefore, the minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
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What does the t-coordinate of the solution to this system represent? the time at which the ball and the dog hit the ground the time at which the ball and the dog begin moving the time at which the ball and the dog's mouth are at the same height
The t-coordinate of the solution to this system represents C. the time at which the ball and the dog's mouth are at the same height.
How to explain the coordiante?
A coordinate time scale is a time standard designed for use as the time coordinate in the calculation.
When Laurie throws a tennis ball toward her dog from a height, the t-coordinate of the solution to this system represents the time at which the ball and the dog's mouth are at the same height
The complete question is:
Laurie throws a tennis ball toward her dog from a height of 4.5 ft. The initial vertical velocity of the ball is 18 ft/s. At the same time as Laurie throws the ball, her dog jumps with an initial vertical velocity of 21 ft/s. When the dog jumps, its mouth is 1.5 ft above the ground. What does the t-coordinate of the solution to this system represent?
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Answer:
C
Step-by-step explanation:
I got it right
What is the exact value of x
x = 6(√2)
Step 1:
Say, 6 is perpendicular and x is the hypotenuse.
Step 2:
As we know sine is the ratio of perpendicular and hypotenuse.
∴ [tex]sin 45 = \frac{perpendicular}{hypotenuse}=\frac{6}{x}[/tex] ......................................(1)
Step 3:
As we know, sin45 = 1/√2
∴ put the value in equation 1
⇒ [tex]\frac{1}{\sqrt{2}} = \frac{6}{x}[/tex]
By solving the above equation, we get,
x = 6(√2)
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The length of each side of a square is 8.5 cm rounded to 1 decimal place.
Write the error interval for the perimeter, p, in the form a _< p
Answer:
make it more clear its not clear enough to understand the question
In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
We have points on the graph:
(2, 1990) (5, 4225) (9, 7205)
The slope can be found using two points:
[tex]\rm m =\dfrac{4225-1990}{5-2}\\[/tex]
m = 745
The line can be written as:
y = mx + c
y = 745x + c
Plug point (2, 1990)
1990 = 745x + c
1990 = 745(2) + c
c = 500
y = 745x + 500
The pace of increase in money per month is represented by the slope.
Every month, the sum increases by $745.
The initial quantity of money when the business opened is represented by the y-intercept.
The company began with a $500 investment.
Thus, the slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
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what is the area of the base?
What is the value of the expression below?
2[3(16+)]-8
Answer:
94Step-by-step explanation
2 * [3 * (16 + 1)] - 8 =
2 * [3 * 17] - 8 =
2 * 51 - 8
102 - 8 =
94
A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)
Answer:
D. 20 m
Step-by-step explanation:
The potential energy at Point B will be the sum of the potential and kinetic energies at point A.
__
energy formulasFor mass M, the potential energy at h meters above a rest height is ...
PE = Mgh
The kinetic energy of mass M with velocity v is ...
KE = 1/2Mv²
point A energyA pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...
PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg
point B energyWhen the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...
PE = Mgh
196M J/kg = M(9.8 m/s²)h
h = (196M)/(9.8M) m = 20 m
The height of the mass at point B will be 20 meters.
What is the the slope and y-intercept in the equation and what do both mean in context of the problem? y= 0.98x + 1.44
Answer:
The slope is 0.98 and the y-intercept is 1.44.
Step-by-step explanation:
The equation is a linear equation in the Slope-Intercept form y=mx+b. It’s called this because it identifies the slope m and the point on the y-axis at which the line intersects.
what is the term to term rule of 3,6,17,48,87
Answer:
term to term rule. • a rule that defines the value of each term in a sequence. if the previous terms are known, e.g. the Fibonacci sequence. xn = xn-1 + xn-1.
Step-by-step explanation:
To work out the term to term rule, give the first term and then the pattern. The first term is 17, and the pattern is to subtract 3 each time, so the term to term rule is 'start at 17 and subtract 3'. The next two terms of the sequence are 5 and 2, giving the sequence as: Question.