Answer:
5x(y+2)
Step-by-step explanation:
Answer:
You cannot add them because they both don't have the same like terms.
But if you just straight out add your answer would either be 15xy or just 15x
Step-by-step explanation:
Sorry hope this helped in someway
4.8cm diameter in area
Answer:
18.0864 cm^2
Step-by-step explanation:
The formula for the area of the circle is
A = 3.14 · r^2
Radius = D / 2
Radius = 4.8 / 2 = 2.4 cm
Now let's solve for the area of this circle
A = 3.14 · 2.4^2
A = 3.14 · 5.76
A = 18.0864 cm^2
So, the area of this circle is 18.0864 cm^2
Heather has a very important exam to take in he morning. Since she wants to be sure to that she will wake up in time, she sets two alarm clocks. One has a. 95 probability that it will ring, and the other has a. 98 probability that it will ring. She sets both clocks. What is the probability that at least one of the alarm clocks will wake her up?.
Answer: "C. 0.9604.
Step-by-step explanation: The correct answer is The probability that at least one of the alarm clocks will wake her up is 0.9604. Heather has a very important test to take in the morning. So she wants to be sure that she will wake up in time, so she sets two alarm clocks.
Simplify the expression by combining like
terms:
-3c+ c² - 2 + c² + 5c +3
Enter the number that belongs in the green box.
[?] c² + c + ]
The expression -3c+ c² - 2 + c² + 5c +3 is simplified to 2c² + 2c - 1
What are algebraic expressions?Algebraic expressions are described as mathematical expressions that are comprised of coefficients, terms, factors, constants and variables.
These expressions are known to be made up of mathematical operations, which incudes;
AdditionFloor divisionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
-3c+ c² - 2 + c² + 5c +3
Now, collect like terms, we get;
c² + c² - 3c + 5c - 2 + 3
Now, add or subtract the like terms, we get;
2c² + 2c - 1
Hence, the expression is 2c² + 2c - 1
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Determine if the functions are inverses.
Answer: yes
Step-by-step explanation:
What is 1 with an exponent of 0?
Answer:
1
Step-by-step explanation:
Anything (besides 0) to the 0 power is 1.
How do you write a function in vertex form from a graph?
By applying the formula x=-b/2a to find the quadratic's vertex, the result can then be used to replace y in the original equation.
What is vertex form from a graph?By applying the formula x=-b/2a to find the quadratic's vertex, the result can then be used to replace y in the original equation. Substitute the vertex into the equation y=a(x-h)2+k in the vertex form. (A will not change; h is x; and K is y.) It is referred to as being in standard form when the quadratic function f(x) = a(x - h)2 + k is not equal to zero. The graph opens either upward or downward depending on whether an is positive or negative. The vertex is the point, while the vertical line x = h is the line of symmetry (h,k).To convert standard form to vertex form,
Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square.Then y = a (x - h)2 + k is the vertex form.To learn more about vertex form refer to:
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Somebody help please I don’t understand!!
Dividing the quantities of whole recipe by 4 it can be made for one person.
What does math division mean?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
Any number must have a divisor that is less than the dividend when we divide it. Every time, deduct the product from the dividend number before moving on to the next number in the sequence. Always write the product below the dividend number and the quotient above the line.
Dividing the quantities of whole recipe by 4 -
9/16 cups of pastry dough
5/8 cups vegetables, chopped
1/16 of a cup of butter
salt and pepper to taste
3/8 cups of chicken
*serves one
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How many solutions does each system of equations have?
Part A: {3x−y=13y+3=9x
Part B: {y+4x=7−2y−4=8x
Part C: {4y=3x+48y−6x=8
Each system of equations given below has a unique solution 3x−y=13y+3=9x, y+4x=7−2y−4=8x, 4y=3x+48y−6x=8.
What are equations?A mathematical equation can be defined in a variety of ways. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." Mathematical variables are used in even the most fundamental and straightforward algebraic equations.
Given that;
The system of equations is,
⇒ 3x - y = 13
⇒ y + 3 = 9x
Now,
Since, The system of equation is,
⇒ 3x - y = 13
⇒ y + 3 = 9x
It can be written as,
⇒ 3x - y = 13
⇒ 9x - y = 3
Clearly, We have;
⇒ 3/9 = - 1 / - 1
⇒ 1/3 ≠ 1
Thus, It has a Unique solution.
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Suppoe you have fewer than 10 place value block. How many different way could you how 1214? Explain
Since 1214 is a four digit number and you have fewer than 10 blocks it is not possible to represent 1214 in any other way.
With fewer than 10 place value blocks, it would not be possible to show the number 1214 using standard place value notation, as you would need at least 4 blocks to represent the ones, tens, hundreds, and thousands place. Each block would represent a different place value, such as ones, tens, hundreds, and thousands. Each block would have a different numerical value, such as 1, 2, 1, and 4, respectively. Since 1214 is a four digit number and you have fewer than 10 blocks it is not possible to represent 1214 in any other way.
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The function f(x) = -0.5x^2 + 32.5x - 375 gives a company's profit (or loss) in thousands of dollars, based on what it charges for it's product, x in dollars. If the product is too cheap, the company will not make enough money. If it is too expensive, it will not sell well. A company "breaks even" when it makes enough money to cover it's costs, but hasn't yet made a profit. To break even or make money, how much should the company charge for it's product.
To break even or make money, the company should charge at least $_______ for it's product but no more than $_______
To break even or make money, the company should charge at least $15 for it's product but no more than $50.
How to find the solution to quadratic functions?We are given the function that shows the company's profit or loss as;
f(x) = -0.5x² + 32.5x - 375
This function represents a company's profit (or loss) in thousands of dollars.
x represents what it charges for it's product, x in dollars.
Thus, for it to break even, we have to equate f(x) to zero and solve for x to know the maximum and minimum values of x.
Using quadratic formula, we have;
x = [-b ± √(b² - 4ac)]/2a
x = [-32.5 ± √(32.5² - 4(-0.5 * -375))]/2(-0.5)
x = 15 or 50
Thus, the break even charge has a minimum of $15 and a maximum of $50
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Given the following two ordered pairs calculate the rate of the function. (−5, −6) and (−3, 0) Enter your answer in the box. m=
Answer:
given points are(-5,-6)and(-3,0),
m=0-(-6)/-3-(-5)
=6/2
=3
Hence,For every +1 unit increase in X axis results in +3 units increase in y axis.
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HELP ITS DUE BY 9:00 I PUT THE PICTURE DOWN BELOW
How do you know if an expression has infinitely many solutions?
When you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
If you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.
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Do sides 7 cm 24cm 25cm form a right angle triangle?
Answer:
Yes, the sides 7cm, 24cm and 25cm form a right angle triangle.
This is because the sides of a right angle triangle must follow the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 7cm and 24cm are the two legs and 25cm is the hypotenuse.
Step-by-step explanation:
Solve for y.
8+y=15
Enter your answer in the box.
y =
Answer:
y=7
Step-by-step explanation:
Answer: y=7
Step-by-step explanation:
15-8=7
y=7
Which function has a vertex on the y-axis?
f(x) = (x – 2)2
f(x) = x(x + 2)
f(x) = (x – 2)(x + 2)
f(x) = (x + 1)(x – 2)
The function whose vertex is on the y-axis is f(x) = (x – 2)(x + 2).
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Write each of the functions in the form of ax² + bx + c
Vertex of the function.
= ( -b/2a, f(-b/2a) )
Now,
f(x) = (x – 2)²
x² - 2x + 4
a = 1, b = -2, c = 4
-b/2a = 2/2 = 1
f(1) = -2
Vertex = (1, -2)
f(x) = x(x + 2)
x² + 2x
a = 1, b = 2, c = 0
-b/2a = -2/2 = -1
f(-1) = -1(-1 + 2) = -1
Vertext = (-1, -1)
f(x) = (x – 2)(x + 2)
x² + 2x - 2x + 4
x² + 4
a = 1, b = 0, c = 4
-b/2a = 0
f(0) = (0 -2)(0 + 2) = -4
Vertex = (0, -4)
f(x) = (x + 1)(x – 2)
x² - 2x + x - 2
x² - x + 2
a = 1, b = -1, c = 2
-b/2a = 1/2
f(1/2) = (1/2 + 1)(1/2 - 2) = 3/2 x -3/2 = -9/4
Vertex = (1/2, -9/4)
Thus,
The vertex (0, -4) is on the y-axis.
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The larger triangle is the image of the smaller triangle after a dilation whose center is at (-2,1).
What scale factor was used in the dilation?
Considering that the larger triangle is the image of the smaller triangle after a dilation whose center is at (-2,1), the scale factor that was used in the dilation is 2.
What is the dilation of a triangle?Dilation is a technique for creating comparable figures that have their size reduced or increased by certain scaling factors.
Hence, the dilation of a triangle involves decreasing or increasing their sizes by a scale factor.
Considering the larger triangle which is the image of the smaller triangle after a dilation with center at (-2,1);
Scale factor = 5 - 1 / 1 - (-1)
Scale factor = 4 / 2
Scale factor = 2
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find the median
643258
Answer:
median = 4.5
Step-by-step explanation:
the median is the middle value of the data set arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle
express the values in ascending order ( smallest to largest )
2 , 3 , 4 , 5 , 6 , 8
↑
the middle is between 4 and 5 , then
median = [tex]\frac{4+5}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5
A:B=B:C=C:D if C:D is 1:4, what is A:D?
The ratio A:D = 1:64
What is a ratio?A ratio is the comparison of two amounts of the same unit which shows the amount of one present in the other.
How to find the ratio A:D?Given that A:B = B:C = C:D if C:D is 1:4, we need to find A:D.
So, we proceed as follws
A:B = B:C = C:D
⇒ A/B = B/C = C/D = 1/4
So, we have that the equation
A/B = 1/4
This implies that
A = B/4
Also, we have that the equation
B/C = 1/4
This implies that
B = C/4
Finally, we have that
C/D = 1/4
This implies that
C = D/4
Since A = B/4, B = C/4 and C = D/4,
Substituting C into B, we have that
B = C/4
= (D/4)/4
B = D/16
Since A = B/4, substituting this B into A, we have that
A = B/4
= (D/16)/4
A = D/64
So, A/D = 1/64
⇒ A:D = 1:64
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Find the greatest common factor of 48xy^2 and 54x^3y^2z
The common factors for 48,36,−12 48 , 36 , - 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF for the numerical part is 12.
What is common factors?"Factors" are numbers we can multiply together to get another number.When we find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors"."Factors" are numbers we can multiply together to get another number.When we find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors".A factor of a number is an exact divisor of the given number or when a number is exactly divided by a divisor that divisor is known as a factor of that number. Factors of a number cannot be greater than the given number, they are either less than or equal to the given number. 1 is a common factor of all numbers and every number is a factor of itself. When we find the factors of two or more numbers we notice that some factors are common, this is because a number can be exactly divided by many divisors if the number is a multiple of that divisor. For example, the factors of 35 are {1,5,7,35} and factors of 45 are {1,3,5,9,15,45}. 1 and 5 are the numbers that are exactly dividing both the numbers. Thus the common factors of 35 and 45 are 1 and 5.To learn more about divisor refer to:
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NEED HELP WITH MATH (Explain how you got the answer)
A triangle is said to be congruent with another triangle if its three sides are all congruent. If JK XY, KL YZ, and JL XZ are true, then JKL XYZ is true.
Which condition would prove JKL and XYZ?Two triangles are said to be congruent if their three sides are identical to those of another triangle. If JKXY, KLYZ, and JLXZ are true, then JKLXYZ.
Do this Move the orange pointer to M. The two angles JKM and LKM in the preceding diagram create a linear pair. The two non-common legs of the straight line segment JKL are supplementary because they are adjacent and because they always add up to 180 degrees.
It is impossible for the two triangles to be created here since the sum of the two angles is already 18 1 181 circ 181, hence neither J K L triangle (JKL) nor X Y Z triangle (XYZ) can be formed.
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the question is in the picture below
Answer:-2
Step-by-step explanation:
2(x-4) + 3x -x^2
2(2-4)+ 3(2) - 2^2
2(-2)+ 3(2)-2^2
-4+6-4=
-2
Why do you think banks will try to sell you credit cards or personal loans?
Answer: liquidity reasons
Step-by-step explanation:
Banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.
What is Loan?A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.
Banks will try to sell credit cards and personal loans to customers for a few reasons:
Profit: Banks earn money by charging interest on loans and credit cards. By selling these products to customers, banks can earn significant profits.
Customer retention: By offering loans and credit cards to customers, banks can deepen their relationships with them and increase customer loyalty.
Increased revenue: Offering loans and credit cards can help banks generate more revenue from customers.
Market competition: Banks face intense competition from other financial institutions, including credit unions and online lenders.
Hence, banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.
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Mike asked 200 students to select their favorite sport and then recorded the results in the bar graph below. Mike will ask another 140 students to select their favorite sport.
Based on the information in the bar graph, about how many more students of the next 140 asked will select football rather than track and field as their favorite sport?
Based on the information in the bar graph, the number of students of the next 140 asked will select football rather than track and field as their favorite sport is, 35
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
Mike asked 200 students to select their favorite sport and then recorded the results in the bar graph
the percentage of students who selects football is,
Percentage = (50/200)×100
Percentage = 25%
If we consider in same percentage students will select football in next 140 students,
then, number of those students will be,
25 = (a/140)×100
a = 35
Therefore, the number of students is, 35
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What is quotient rule Class 7?
The quotient rule in calculus is a method used to find the derivative of any function given in the form of a quotient obtained from the result of the division of two differentiable functions.
That means if we are given a function of the form: f(x) = u(x)/v(x),
we can find the derivative of this function using the quotient rule derivative:
f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]2
Where:
f(x) = The function of the form u(x)/v(x) for which the derivative is to be calculated.u(x) = A differentiable function that makes numerator of the function f(x).u'(x) = Derivative of function u(x).v(x) = A differentiable function that makes the denominator of the given function f(x).v'(x) = Derivative of the function v(x).To know more about the quotient rule:
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I need help with my math homework
The number of hours until the city is locked down is given as follows:
229 hours.
How to obtain the number of hours until the city is locked down?The function for this problem is defined as follows:
p(t) = 0.004t³ + 0.001t + 1.
For which the variables are given as follows:
t is the time in days.p(t) is the number of people infected.The rate of change of the infection in 72 hours = 3 days is given by:
p'(3).
The derivative of the function is given as follows:
p'(t) = 0.012t² + 0.001.
After the instantaneous rate after 3 days is given as follows:
p'(3) = 0.012(3)² + 0.001
p'(3) = 0.109.
The city will lock down when p'(t) = 10 x p'(3) = 1.09 that is:
0.012t² + 0.001 = 1.09.
0.012t² + 0.001 - 1.09 = 0.
Hence the time in days is obtained as follows:
0.012t² = 1.089
t² = 1.089/0.012
t² = 90.75
[tex]t = \sqrt{90.75}[/tex]
t = 9.53 days.
Each day is composed by 24 hours, hence the time in hours is obtained as follows:
9.53 x 24 = 229 hours. (rounding to the nearest whole integer).
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What is the area of a triangle with the base 4.8 cm and height 3.6 cm *?
The area of a triangle with the base 4.8 cm and height 3.6 cm is 8.64 cm².
Therefore the answer is 8.64 cm².
The area of a triangle can be calculated using the formula:
Area = (1/2) x base x height
In this case, the base of the triangle is 4.8 cm and the height is 3.6 cm. Plugging these values into the formula, we get:
Area = (1/2) x 4.8 x 3.6
Area = (1/2) x 17.28
Area = 8.64 cm²
So the area of the triangle is 8.64 square centimeterS.
It's important to note that the formula for area of triangle uses the concept of base and height. A base is a side of the triangle and height is the perpendicular distance from the base to the opposite vertex.
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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on 5?.
The probability the spinner landing on 5 is 0.125. The result is obtained by dividing the number of favorable outcomes by the number of events.
What is probability?Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.
Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceA spinner is divided into 8 equal sections numbered 1 to 8. Find the probability that the spinner lands on number 5!
From the information, we have:
Total number of events, n(S) = 8.The favorable outcomes that the spinner lands on 5, n(A) = 1.P(A) = n(A) / n(S)
P(A) = 1/8
P(A) = 0.125
Hence, the probability that the spinner lands on number 5 is 0.125.
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help pls i have already answered but not sure if my answer is right
Answer:
China = 6018 / 1339 = 4.49
US = 5093 / 307 = 16.59
Russia = 1704 / 140 = 12.17
India = 1293 / 1157 = 1.12
Japan = 1246 / 127 = 9.81
Germany = 858 / 82 = 10.46
Canada = 614 / 33 = 18.60
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
The gradient or slope of the line is given by the equation m = -3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P = P ( -1 , 0 )
Let the second point be represented as Q = Q ( 0 , -3 )
Now , the slope of the line passing through the points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -3 - 0 ) / ( 0 - ( -1 ) )
On simplifying the equation , we get
Slope m = -3/1
Slope m = -3
Hence , the slope of the line is m = -3
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