common denominator for 5 and 2?
Answers
Answer:
Common denominator of 2 and 5 if you want to add or subtract two fractions with 2 and 5 as denominators.
Step-by-step explanation:
Step 1) Take the LCD and divide each denominator by it as follows:
10/2 = 5
10/5 = 2
Step 2) Multiply each nominator with the respective answers from Step 1:
3 x 5 = 15
2 x 2 = 4
Step 3) Put it all together to solve the problem:
15/10 + 4/10 = 19/10
= 3/2 + 2/5 = 19/10
=10
Answer:
It's 10
Step-by-step explanation:
hope it will help u .....
Related Questions
Can you please help me! ( Thank you so much! ). :)
Answers
The black box has points 100 and 200 on its ends
100+200/2 = 300/2 = 150
A group of students are watching a documentary that is 58 minutes long. They have already watched 17 minutes of the documentary. How much time is left in the documentary?
Answers
Answer:
41 minutes
Step-by-step explanation:
1/2 ln (x+3) - ln x=0
Answers
Answer:
x ≈ 2.30277563
Step-by-step explanation:
Do not answer this. Just leave it be please
Answers
Answer:
Well nah
Step-by-step explanation:
Answer:
Lol no
Step-by-step explanation:
Karen drove 780 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
585
Step-by-step explanation:
divide 780 by 12
780/12=65
The answer you get is her speed, so 65miles/hour
So if she did this for nine hours, multiply 65 by 9
65*9=585
The acceleration, in feet per second per second, of an object is given by the acceleration function (t) = 2 sin t + 1. The initial velocity is v (0) = 0 and the initial position is $ (0) =3. Find the equation of velocity function. Find the position function and the average value of the position function from time t = 2 seconds to t = 5 seconds Show all your work For an indefinite integral, use the notation INT in place of the symbol. For example, f (x + 1) dx should be written as INT (€ + 1) dx. For a definite integral, use the notation INT (a,6). For example, f? (c + 1) dx should be written as INT (1,2) (€ + 1) dx. For a definite integral that has been integrated, use the notation EVAL (a,6) . For example, 2 + 2) should be written as +3 EVAL (1,2)
Answers
The average value of the position function from t = 2 seconds to t = 5 seconds is approximately: Average value ≈ [tex](1 / 3) * [(-2 cos(5) + 215/6) - (-2 cos(2) + 20/6)][/tex]
To find the equation of the velocity function, we need to find the antiderivative of the acceleration function. The antiderivative of 2 sin(t) is -2 cos(t), and the antiderivative of 1 is t.
So, the velocity function v(t) is given by integrating the acceleration function:
v(t) = INT(2 sin(t) + 1) dt
[tex]= -2 cos(t) + t + C[/tex]
Since the initial velocity is v(0) = 0, we can substitute this value into the equation to find the constant C:
[tex]0 = -2 cos(0) + 0 + C\\0 = -2(1) + C\\C = 2[/tex]
Therefore, the equation of the velocity function is:
[tex]v(t) = -2 cos(t) + t + 2[/tex]
To find the position function, we integrate the velocity function:
[tex]s(t) = INT(-2 cos(t) + t + 2) dt\\= -2 sin(t) + 0.5t^2 + 2t + D[/tex]
Since the initial position is s(0) = 3, we substitute this value into the equation to find the constant D:
[tex]3 = -2 sin(0) + 0 + 0 + D\\3 = 0 + 0 + D\\D = 3[/tex]
Therefore, the position function is:
[tex]s(t) = -2 sin(t) + 0.5t^2 + 2t + 3[/tex]
To find the average value of the position function from t = 2 seconds to t = 5 seconds, we use the formula for the average value of a function over an interval:
Average value =[tex](1 / (b - a)) * INT(a, b) f(t) dt[/tex]
In this case, the interval is from t = 2 seconds to t = 5 seconds, so we have:
Average value =[tex](1 / (5 - 2)) * INT(2, 5) (-2 sin(t) + 0.5t^2 + 2t + 3) dt[/tex]
Evaluating the definite integral:
Average value = [tex](1 / 3) * [(-2 cos(t) + (1/6)t^3 + t^2 + 3t) EVAL(2, 5)][/tex]
Average value =[tex](1 / 3) * [(-2 cos(5) + (1/6)(5^3) + 5^2 + 3(5)) - (-2 cos(2) + (1/6)(2^3) + 2^2 + 3(2))][/tex]
Calculating the values:
Average value ≈[tex](1 / 3) * [(-2 cos(5) + 125/6 + 25 + 15) - (-2 cos(2) + 8/6 + 4 + 6)][/tex]
Average value ≈ [tex](1 / 3) * [(-2 cos(5) + 215/6) - (-2 cos(2) + 20/6)][/tex]
Therefore, the average value of the position function from t = 2 seconds to t = 5 seconds is approximately:
Average value ≈ [tex](1 / 3) * [(-2 cos(5) + 215/6) - (-2 cos(2) + 20/6)][/tex]
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Select the expression that is equivalent to the given expression:
Answers
Answer:
(113^6*37^3*54^12)
hope it helps you
How many times greater is the thickness of a dime than the thickness of a dollar bill? Round your answer to the nearest whole number.
Dime Thickness = 0.135 cm Dollar Thickness = 1.0992 x 10^-2 cm
Answers
Dime Thickness = 0.135 cm. Dollar Thickness = 1.0992 x 10^-2 cm. To calculate the thickness of a dime is times greater than the thickness of a dollar bill, we need to divide the thickness of a dime by the thickness of a dollar bill:0.135 cm / 1.0992 x 10^-2 cm = 12.3 times.
Therefore, the thickness of a dime is 12 times greater than the thickness of a dollar bill. Round off the answer to the nearest whole number is 12.
To calculate the thickness of a dime is times greater than the thickness of a dollar bill, we need to divide the thickness of a dime by the thickness of a dollar bill. To do that, let's use the given values to find out the ratio of the thicknesses of a dime and a dollar bill.
Thickness of a dime = 0.135 cmThickness of a dollar bill = 1.0992 x 10^-2 cmLet us divide the thickness of a dime by the thickness of a dollar bill to find the ratio of thicknesses.0.135 cm / 1.0992 x 10^-2 cm= 12.3 timesTherefore, the thickness of a dime is 12 times greater than the thickness of a dollar bill.
The answer should be rounded off to the nearest whole number, which is 12. So, it can be concluded that the thickness of a dime is 12 times greater than the thickness of a dollar bill.
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Determine whether the number is a perfect square P.S there is a lot
8 4 81 44 49 125 150 144
THANKS FOR THE HELP
Answers
Answer:
okay so to figure out a perfect square a number has to be outlined by itself. 8 is not. 4 is because 2 times itself is 4. 81 is because 9 time itself is 81. 44 is not. 49 is because 7 times itself is 49. 125 is not. 150 is not. 144 is because 12 times itself is 144.
two opposite integer are 12 unit apart on a number line .what are the integers?
Answers
Answer:
6 and -6
Step-by-step explanation:
Since they're 12 units apart that means one of them is 6 and the fact they're opposites means the other is -12
Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22/7 for Pi. Round your answer to the nearest hundredth, if necessary.
I NEED HELP QUICK!!!!!!!!!!
Answers
Answer:
a) perimeter = 8π + 6 + 8 + 10
= (8π + 24) ft
= about 49.13 ft
8(3.14) + 24 = about 49.12 ft
b) area = π(4^2) + 10(8) + (1/2)(6)(8)
= (16π + 104) ft²
= about 154.27 ft²
16(3.14) + 104 = about 154.24 ft²
I need help 2x + 1 when x = 2
Answers
Answer:
2(2) + 1 = 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2*2=4+1=5
Hillary paid $8 for 12 donuts. What is the approximate unit cost of each donut
Answers
Answer:
$0.67
Step-by-step explanation:
Divide 8(dollars) by 12 (donuts) and you get 0.66666666666666666666666666666667
But, round it and you get .67
write a system of constraints whose graph is a parallelogram
Answers
To create a system of constraints that defines a parallelogram, we need to establish conditions that satisfy the properties of a parallelogram: opposite sides are parallel and equal in length, and opposite angles are congruent.
Here's an example of a system of constraints that represents a parallelogram:
Let's consider a parallelogram with vertices (x, y):
1. Constraint 1: Opposite sides are parallel.
This can be represented by the equation: y = ax + b, where a is the slope and b is the y-intercept.
2. Constraint 2: Opposite sides are equal in length.
This can be represented by the equation: [tex](x - x_1)^2 + (y - y_1)^2 = (x - x_2)^2 + (y - y_2)^2[/tex] are the coordinates of two opposite vertices.
3. Constraint 3: Opposite angles are congruent.
This can be represented by the equation: [tex]m_1 = m_2[/tex], where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of two adjacent sides.
By combining these three constraints, we can define a system of equations that represents a parallelogram. The specific values of a, b, ([tex]x_1, y_1[/tex]), and ([tex]x_2, y_2[/tex]) will determine the properties and shape of the parallelogram.
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A factory has two bottle filling machines, which run at the same time. Machine B fills bottles at a rate of x, which is 1.5 times the rate of Machine A. The factory is considering buying a new machine that would replace the other two machines. It can fill at a rate of 3x.
If the factory buys the new machine to replace the other two, which of the following expressions show the increase in rate?
Answers
Answer:
[tex]\dfrac{4}{3}x[/tex]
Step-by-step explanation:
Given that:
Rate of bottle filling for Machine B = [tex]x[/tex]
Rate of filling of Machine B is 1.5 times the rate of Machine A.
Let the rate of bottle filling for Machine A = [tex]y[/tex]
As per question statement:
[tex]x=1.5y\\\Rightarrow y=\dfrac{2}{3}x[/tex]
Now, combined rate of both the machines, i.e. A and B = [tex]x+y[/tex]
[tex]\Rightarrow x+\dfrac{2}{3}x\\\Rightarrow \dfrac{5}{3}x[/tex]
Bottle filling Rate of new Machine = [tex]3x[/tex]
It is given that both the machines are replaced by the new machine.
Now, increase in the rate can be calculated by subtracting the combined rate of both the machines from the bottle filling rate of new machine.
i.e.
[tex]3x-\dfrac{5x}3\\\Rightarrow \dfrac{9x-5x}{3}\\\Rightarrow \bold{\dfrac{4x}{3}}[/tex]
So, the following expression shows the increase in rate:
[tex]\dfrac{4}{3}x[/tex]
Toby and clara are telemarkers yesterday Clara reached 4 people in 10 phone calls,while Toby reached 3 people in 8 phone calls if they continue at those rates who will reach 40 phone calls.
Answers
Answer:
Clara
Step-by-step explanation:
Very very easy:
Amount Of people Clara reached: 4
4 multiplied by 10 is 40! ^^
Determine whether each of the following functions is a solution of Laplace's equation Uxx + Uyy = 0. (Select all that apply.) u = In(Vx2 + y2) u = x2 - y2 u = x2 + y2 u = e-x cos(y) – e-Y cos(x) u = x3 + 3xy2 U U = sin(x) cosh(y) + cos(x) sinh(y)
Answers
The function U = sin(x) cosh(y) + cos(x) sinh(y) is a solution of Laplace's equation Uxx + Uyy = 0.
In order to determine whether each of the given functions is a solution of Laplace's equation
Uxx + Uyy = 0 or not, we need to differentiate the given functions twice w.r.t. x and then twice w.r.t. y, respectively, and then add these values.
If the sum equals to zero, then the function is a solution of Laplace's equation Uxx + Uyy = 0.
Now, let's differentiate each function with respect to x and y twice one by one.
(1) u = In(Vx2 + y2)
Differentiating with respect to x:
u_x = 2x / (x^2 + y^2),
u_xx = (2(x^2 + y^2) - 4x^2) / (x^2 + y^2)^2
Differentiating with respect to y:
u_y = 2y / (x^2 + y^2),
u_yy = (2(x^2 + y^2) - 4y^2) / (x^2 + y^2)^2
Now, u_xx + u_yy = [(2(x^2 + y^2) - 4x^2) / (x^2 + y^2)^2] + [(2(x^2 + y^2) - 4y^2) / (x^2 + y^2)^2] = 0 + 0 = 0.
Hence, the function u = In(Vx2 + y2) is a solution of Laplace's equation
Uxx + Uyy = 0.(2) u = x2 - y2
Differentiating with respect to x:
u_x = 2x, u_xx = 2
Differentiating with respect to y:
u_y = -2y, u_yy = -2
Now, u_xx + u_yy = 2 - 2 = 0.
Hence, the function u = x2 - y2 is a solution of Laplace's equation Uxx + Uyy = 0.(3) u = x2 + y2
Differentiating with respect to x: u_x = 2x, u_xx = 2
Differentiating with respect to y: u_y = 2y, u_yy = 2
Now, u_xx + u_yy = 2 + 2 = 4 ≠ 0. Hence, the function u = x2 + y2 is not a solution of Laplace's equation
Uxx + Uyy = 0.(4) u = e-x cos(y) – e-Y cos(x)
Differentiating with respect to x: u_x = -e-x cos(y) + e-Y sin(x), u_xx = e-x cos(y) + e-Y cos(x)
Differentiating with respect to y: u_y = -e-x sin(y) + e-Y cos(x), u_yy = e-x cos(y) + e-Y cos(x)Now, u_xx + u_yy = (e-x cos(y) + e-Y cos(x)) + (e-x cos(y) + e-Y cos(x)) = 2(e-x cos(y) + e-Y cos(x)).
This is not equal to 0.
Hence, the function u = e-x cos(y) – e-Y cos(x) is not a solution of Laplace's equation Uxx + Uyy = 0.(5) u = x3 + 3xy2
Differentiating with respect to x: u_x = 3x2 + 3y2, u_xx = 6x
Differentiating with respect to y: u_y = 6xy, u_yy = 6x
Now, u_xx + u_yy = 6x + 6x = 12x ≠ 0.
Hence, the function u = x3 + 3xy2 is not a solution of Laplace's equation Uxx + Uyy = 0.(6) u = sin(x) cosh(y) + cos(x) sinh(y)
Differentiating with respect to x: u_x = cos(x) cosh(y) - sin(x) sinh(y), u_xx = -sin(x) cosh(y) - cos(x) sinh(y)
Differentiating with respect to y: u_y = sin(x) sinh(y) + cos(x) cosh(y), u_yy = sin(x) cosh(y) + cos(x) sinh(y)
Now, u_xx + u_yy = (-sin(x) cosh(y) - cos(x) sinh(y)) + (sin(x) cosh(y) + cos(x) sinh(y)) = 0 + 0 = 0.
Hence, the function U = sin(x) cosh(y) + cos(x) sinh(y) is a solution of Laplace's equation Uxx + Uyy = 0.
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Let d be the number of dollars you spent on gas and let g be the number of gallons you purchased. Which expression represents the price you paid per gallon?
Answers
Answer:
The expression represents the price you paid per gallon is:
Price paid per gallon = [tex]\frac{d}{g}[/tex]Step-by-step explanation:
To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:
Price paid per gallon = [tex]\frac{d}{g}[/tex]Price paid per gallon = [tex]\frac{56}{7}[/tex]Price paid per gallon = 8And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:
Number of dollars (d) = 8 * $7 = $56PLEASE HELPPP!!!!!!!
Answers
Answer:
D. g(x)=5x^2
Step-by-step explanation:
This is the graph, if you need help go to desmos.com
Answer:
D
Step-by-step explanation:
If you plug the x coordinate into the 4 possible answers, only one gives you the correct y coordinate.
Answer A: if X=1 then 1 squared is still 1 and 1 times 25 means Y=25 (wrong)
Answer B: If X=1 then 1 times 5 is 5 and 5 squared is 25 so Y=25 (wrong)
Answer C: if X=1 then 1 squared is still 1 and 1 times 1/5 is 1/5 so Y=1/5 (wrong)
Answer D: if X=1 then 1 squared is still 1 and 1 times 5 is 5 so Y=5 (Correct)
please help meeeeeeeeeeee!!!!!!!!!!!!!!!
Answers
Answer:
6. b
7. d
8. a
9. c
10.around 40
Step-by-step explanation:
no idea but i think i did my best
please answer quickly
Answers
Answer:
QET
FWR
Step-by-step explanation:
Colinear means lying on the same line.
you borrowed $1,690 for 5 1/2 years at 5.7% compounded semianually. what total will you pay back?
Answers
Answer:
You will pay $2,302 back.
Step-by-step explanation:
Compound interest occurs when the interest is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We are given the following conditions: Principal amount P=$1,690, duration=5 1/2 years, interest rate r=5.7% compounded semi-annually.
Note we don't actually have the value of n or t because they must be taken from the duration and the compounding period.
The interest compounds semi-annually i.e. twice a year. Thus, n=2.
The interest rate is converted to decimal r=0.057 and we apply the formula:
[tex]{\displaystyle A=1,690\left(1+{\frac {0.057}{2}}\right)^{2*5.5}}[/tex]
[tex]{\displaystyle A=1,690\left(1+0.0285\right)^{11}}[/tex]
A=$2,302
You will pay $2,302 back.
there are eight teaching assistants available for grading papers in a college course. the first exam consists of four questions, and the professor wants a different assistant grading each question (one assistant per question). in how many ways can assistants be chosen to grade the exam?
Answers
There are 1680 ways the teaching assistants can be chosen to grade the exam.
To determine the number of ways the teaching assistants can be chosen to grade the exam, we need to consider the number of choices available for each question and multiply them together.
For the first question, there are eight teaching assistants available. Therefore, there are 8 choices for the first question.
For the second question, since one assistant has already been assigned to the first question, there are seven remaining assistants available. Thus, there are 7 choices for the second question.
Similarly, for the third question, there are six remaining assistants available after two have been assigned to the previous questions. Hence, there are 6 choices for the third question.
Lastly, for the fourth question, there are five remaining assistants available after three have been assigned to the previous questions. Therefore, there are 5 choices for the fourth question.
To determine the total number of ways, we multiply the number of choices for each question:
Total ways = 8 * 7 * 6 * 5 = 1680
Therefore, there are 1680 possible approaches to select the teaching assistants to grade the exam.
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Let A,B, and C be the matrices with sizes 2×2,2×3, and 3×2 respectively. Which of the following is/are true? (select all that apply) If the product AB=0 (zero matrix), then either A=0 or B=0. Both BC and CB are square matrices. The matrix A+BC is defined. A=Al2=I2 A, where I2 is the 2×2 identity matrix. BC=CB
Answers
The correct statements are:
1. If the product AB = 0 (zero matrix), then either A = 0 or B = 0.
4. BC = CB.
Explanation:
1. If the product of two matrices AB equals the zero matrix, it implies that at least one of the matrices A or B (or both) must be the zero matrix for the product to result in zero.
4. The statement BC = CB states that the order of multiplication of matrices B and C does not affect the resulting matrix. This property holds true for matrices of any size as long as the dimensions are compatible for matrix multiplication.
The other statements are not necessarily true in general:
2. Both BC and CB being square matrices is not guaranteed. The product of two matrices can result in a square matrix only if the number of columns of the first matrix is equal to the number of rows of the second matrix. In this case, B has 3 columns and C has 2 rows, so BC and CB are not square matrices.
3. The matrix A + BC is not defined since the addition of matrices requires them to have the same dimensions. In this case, A is a 2×2 matrix, while BC is a 2×3 matrix, so they cannot be added together.
5. The statement A = A12 = I2 implies that matrix A is equal to the 2×2 identity matrix I2. However, this is not necessarily true as the given information does not provide any details about the values or properties of matrix A.
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15. Suppose a chord is 20 inches long and is 24 inches from the center of the circle. Find the length of the radius. Leave your answer in simplest radical form. (Hint: Draw a picture!). (3 pts) 16. Suppose the diameter of a circle is 30 cm long and the distance from the chord to the center of the circle is 9 cm. Find the length of the chord. Leave your answer in simplest radical form. (Hint: Draw a picture!). (3 pts) 17. In circle O the radius is 36 cm long and mAB = 140°. Find the length of AB. Leave it in your answer.
Answers
15. Length of the radius is 4√11 inches.16.
16. Length of the chord is 6√51 cm.17
17. Length of AB is 117.4 cm.
15. Given a chord is 20 inches long and is 24 inches from the center of the circle.
Let O be the center of the circle, and AB is the chord which is 20 inches long. Also, let OP be perpendicular to AB. Hence, OP is the perpendicular bisector of AB. Therefore, AO = BO = 12 inches. Hence, we have to find radius OP.
Using Pythagoras theorem, we have [tex]$OP=\sqrt{OA^2-AP^2}=\sqrt{12^2-10^2}=4\sqrt{11}$[/tex] inches
Answer: Length of the radius is 4√11 inches.16. Given the diameter of a circle is 30 cm long and the distance from the chord to the center of the circle is 9 cm.
We know that the distance of the chord from the center of the circle is 9 cm and diameter is 30 cm.
The distance of the chord from the center of the circle bisects the chord i.e., PE = EF. We have to find the length of chord CD.
Now, we know that OP = 15 cm (half of diameter)and OE = 9 cm
Therefore, we have, EP = OP - OE = 6 cm
Triangle EPC is a right-angled triangle using Pythagoras theorem, we have, [tex]$EC = \sqrt{PC^2+EP^2}=\sqrt{15^2-6^2}=3\sqrt{51}$[/tex]
Similarly, triangle FPD is a right-angled triangle, using Pythagoras theorem, we have, [tex]$FD = \sqrt{PD^2+PF^2}\\=\sqrt{15^2-6^2}\\\=3\sqrt{51}$[/tex]
Therefore, we have, CD = EF = EC + FD = $3\sqrt{51}+3\sqrt{51}=6\sqrt{51}$ cm
Answer: Length of the chord is 6√51 cm.17. Given in circle O, the radius is 36 cm long and mAB = 140°.
We know that the angle subtended at the center of a circle is twice the angle subtended at the circumference of the circle.
Therefore, [tex]$\angle AOB = 2\angle ABB=280$[/tex]°
We know that angle in a semicircle is a right angle.
Therefore, [tex]$\angle AOB = 90$[/tex]°
So, 280° + 90° = 370° is the total angle in circle O
Therefore, we have 370° = [tex]$2\pi r$[/tex] (circumference of circle)
where r is the radius of the circle.
We know that [tex]$\pi=\frac{22}{7}$[/tex]
Hence, [tex]$370=2\frac{22}{7}r$[/tex]
Solving the above equation, we have,
[tex]$r = \frac{370\times 7}{44}= 62.5$[/tex] cm
So, the length of AB = 2r sin (AB/2)
= [tex]$2\times 62.5 \sin(70)$[/tex]
= [tex]$2\times 62.5 \times 0.9397$[/tex]
= 117.4 cm (approx)
Answer: Length of AB is 117.4 cm (approx).
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Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Isabel claims one solution to the system of two equations must always be the vertex of parabola A.
Which best describes the reasonableness of her claim?
A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.
→B: Isabel is correct because the y-intercept of line B is (9, 0) and the value of x when y = 0 in parabola A is 9.
C: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
D: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the x-intercept of the equations, not the vertex.
Answers
Answer:
The correct answer is c, Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
We want to study the possible solutions of a system of equations where one equation is a parabola and the other equation is a line.
We will see that the correct option is A:
"Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9."
-----------------------------------------
Here we have the system of equations:
y = (x + 3)^2y = m*x + 9Isabel claims that one of the solutions to the system must always be the vertex of the parabola.
Now, the solutions of the system are the points where both graphs intersect, so to find the solutions we can write:
(x + 3)^2 = y = m*x + 9
Then the solutions can be found by solving:
(x + 3)^2 = m*x + 9
Now, the vertex of the parabola is at x = 0, so to test Isabel claim, we can evaluate the above expression in x = 0 to get:
(0 + 3)^2 = m*0 + 9
3^2 = 9
9 = 9
This is true, so Isabel is correct, there will always be a solution and that solution is the vertex of the given parabola.
Then the correct option is:
A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.
(Option B is incorrect because the y-intercept of line B is written incorrectly there).
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7/9 - 1/5 =. put answer in simplest form
Answers
35-9/45 = 26/45
The answer is 26/45.
Answer:
26/45
Step-by-step explanation:
35/45-9/45=26/45
A group of students and their leader visited the zoo 1 adult 4 students in one van paid $12 for the tiger tour. In the second van 3 adult 3 students paid $18 for the same tour. Find the adult price and student price of the tour
Answers
Answer:
Adults cost $4, and Students $2.
Step-by-step explanation:
I have adults be x, and Students y, and convert the two groups to equations.
1x + 4y = 12, and 3x + 3y = 18. I divide the last equation by 3, to get x + y = 6.
Then I subtract y, to get x = 6 - y, then we use substitution.
6 - y + 4y = 12
6 +3y = 12, then subtract 6 from both sides, 3y = 6. divide by 3, and get y = 2. we can plug this into our x + y = 6, to get x + 2 = 6. i.e x = 4.
So Adults cost 4 dollars, and Students cost 2 dollars.
Just lots of simple math, take your time with these questions.
If f(x) = x/2 plus 8 what is f(x) when x = 10
Answers
[tex]f(x)=\frac{x}{2}+8[/tex]
Given y = f(x)
Substitute x = 10.
[tex]f(10)=\frac{10}{2} +8\\f(10)=5+8\\f(10)=13[/tex]
Therefore f(x) = 13 when x = 10
Chef Rita is cooking for a Sunday brunch. She knows that 222222 pancakes can feed 888 people. She is wondering how many people (p)(p)left parenthesis, p, right parenthesis she can feed with 555555 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 555555 pancakes?Explain how poor physical health may affect your social health.
Answers
Answer:
she can feed 2,220 people with 555555 pancakes.
Step-by-step explanation:
Answer:20 people
Step-by-step explanation:
we can solve the problem by setting a simple proportion.
We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:
Solving the proportion, we find
So, 55 pancakes can feed 20 people.
