[tex]70 = -5(-2 + x)\\\\70=10-5x\\\\5x=-60\\\\x=-12[/tex]
The function f(x)=2×5x can be used to represent the curve through the points (1,10), (2,50) , and (3,250) what is the multplicative rate of change of the function?
f(x) = 2(5)ˣ
You can tell from the given equation that (5) is the multiplicative rate of change because 5 is the value being raised to the x-power.
Let's see if that is true:
x y
1 10 (10 x 5 = 50) so next y-value should be 50.
2 50 (50 x 5 = 250) so next y-value should be 250.
3 250
Can you calculate what the next ccordinate will be? (4, ____) (250 x 5 = 1250)
Answer: 5
Which of the following is the correct expansion of (y + 2)(2y2 + y + 4)?
y3 + 5y2 + 6y + 4
2y3 + 10y2 + 5y + 4
y3 + 6y2 + 5y + 8
2y3 + 5y2 + 6y + 8
To expand the expression (y + 2)(2y^2 + y + 4), use the distributive property and multiply each term. Combine like terms to simplify the expression.
Explanation:The given expression is (y + 2)(2y^2 + y + 4). To expand this expression, we can use the distributive property. We multiply each term in the first expression (y + 2) by each term in the second expression (2y^2 + y + 4).
Using the distributive property, we get:
(y + 2)(2y^2 + y + 4) = y * 2y^2 + y * y + y * 4 + 2 * 2y^2 + 2 * y + 2 * 4
Simplifying this expression, we get:
2y^3 + y^2 + 4y + 4y^2 + 2y + 8
Combining like terms, we have:
2y^3 + 5y^2 + 6y + 8
Which of the following are ordered pairs for the equation y = -4x + 5?
(0,5) (1,1) (-1,9)
(0,5) (-1,-1) (-1,-9)
(0,5) (1,-1) (-1,9)
(0,5) (-1,1) (-1,-9)
The first one is your answer because if you plug into the cal it shows the x and y table and it shows that the first one is correct.
The correct ordered pairs for the equation y = -4x + 5 are (-1, 9) and (1, 1).
Explanation:The correct ordered pairs for the equation y = -4x + 5 are (-1, 9) and (1, 1).
To determine if an ordered pair is a solution to the equation, substitute the x and y values into the equation and check if the equation holds true. For example, for the ordered pair (-1, 9):
y = -4x + 5
9 = -4(-1) + 5
9 = 4 + 5
9 = 9
Since the equation is true, (-1, 9) is a solution to the equation.
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What do you call it when a plane comes down in garbage heap
It is called "trash landing". :)
This is a show of word play which sounds similar to “crash landing” (trash/crash), crash landing is actually an organized landing made by an airplane because of a crisis containing a fast approaching or continuous danger to the well being and activity of the flying machine, but in this case as the plane land in garbage the word “crash” is replaced by “trash” giving a humorous meaning to the phrase.
Hope this helped :)
A crash landing describes a plane coming down in a garbage heap, whereas a stall refers to the loss of lift on an airplane's wings, which may not lead to a crash. The term 'Vomit Comet' is used for an aircraft simulating weightlessness in a controlled fall, different from a crash scenario.
When a plane comes down in a garbage heap, it can be referred to as a crash landing in a less formal context, especially if the aircraft is damaged in the process. In aviation, a stall is a condition in which the airplane's wings lose lift due to an insufficient angle of attack, but it does not necessarily result in a crash. Engine failure, which people often confuse with a stall, does not always result in a plane coming down immediately; pilots are trained to handle such situations and aim for a safe landing. In training simulations, astronauts and pilots may experience controlled falls to mimic various scenarios, such as the 'Vomit Comet' used for simulating weightlessness. However, such controlled descents are carefully managed to avoid accidents.
Environmental aspects can also be considered when relating a plane's descent to garbage heaps. For example, the way resources are depleted and environmental sinks become overwhelmed, as mentioned in 'The Tragedy of the Commons,' can be analogous to how an overloaded trash can at a concert spills over, drawing a parallel to the ecological impacts of mishandled waste.
Which equation is an example of direct variation?
The equation of a direct variation: y = kx
Therefore your answer is [tex]D)\ y=\dfrac{2}{3}x[/tex]
Isaac takes 5 minutes to ride his bike down the hill to school and 10 minutes to ride up the hill from school. He attends school monday through friday. How many minutes does he spend biking to and from school in two weeks? Write an equation to model your work.
Answer:150 minutes
Step-by-step explanation:
Given
Issac take 5 minutes to ride his bike down the hill to school
and 10 minutes to ride up the hill from school .
So it takes 15 min each day to and from school
He attends school monday through friday
so 5 days in a week
for 5 days it takes [tex]15\times 5=75 minutes[/tex]
for 2 weeks
[tex]75\times 2=150 minutes [/tex]
Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.
Given equation : [tex]\frac{x}{42}=\frac{3}{7}[/tex].
Strategy 1: We can cross mutiply both sides remove fraction form.
On cross multiplication, we get
x * 7 = 3 * 42
7x = 126.
Dividing both sides by 7, we get
x = 18.Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.
LCD of 42 and 7 is 42.
Therefore, multiplying both sides by 42, we get
[tex]42\times \frac{x}{42}=42\times\frac{3}{7}[/tex]
x = 6 * 3
x = 18.How to work this out ?
Answer:
The solution is (-3, -2).
Step-by-step explanation:
Please note that if you simply add these 2 equations together, 9x - 9x = 0, and you are then left with -5y = 10. Thus, y = -2. Subbing -2 for y in the first equation, we get 9x - 8(-2) = -11, or 9x + 16 = -11.
Subtracting 16 from both sides, we get 9x = -27, so that x = -3.
The solution is (-3, -2).
Look at the diagram and the following information to find the value of x.
Note: T is the midpoint of .
PT = 5x + 3 and TQ = 48.
A:x=9
B:x=10
C.x=10.2
D.x=8
Answer: x=9
Step-by-step explanation:
Multiply x5 by x2:
A. x7
B. x4
C. x10
D. x3
E. x2.5
A [tex]x^{7}[/tex]
add the exponents when multiplying
[tex]x^{5}[/tex]× [tex]x^{2}[/tex] = [tex]x^{5+2}[/tex] = [tex]x^{7}[/tex]
To multiply x5 by x2, you add the exponents, resulting in x7 (option A). This operation follows the laws of exponents in algebra.
When asked to multiply x5 by x2, you are performing an operation in algebra known as exponentiation. According to the laws of exponents, when you multiply two exponential terms with the same base, you add the exponents. Therefore, x5 multiplied by x2 is x7 because 5 + 2 equals 7. The correct answer is A. x7.
the price p of a clubs membership is $30 foran enrollment fee and $12 per week w tobe a member .Write a function
The function would be
p = $30 + $12w
or
p = $12w + 30
The function representing the total cost of the club membership is p(w) = 12w + 30, where 'w' is the number of weeks.
Explanation:The student is essentially asking to write a function which represents the cost of a club membership based on a fixed fee and a weekly cost. This is an example of a linear function in the form of y = mx + b. In this case, 'y' is the total cost 'p', 'm' is the weekly cost $12 (w), 'x' is the number of weeks, and 'b' is the fixed enrollment fee $30.
Thus, the function representing the total cost of the club membership is p(w) = 12w + 30. This equation can be used to find the total cost of the club membership for any number of weeks 'w'.
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Write 5 numbers that round to 360 when rounded to the nearest ten
PLEASE Help!! 20 Points!
Explain the difference between algebraic expressions and equations.
An Expression is a group of numbers, variables, and operators. An equation is described as a mathematical statement.
Hope this helps
Find the value of k the diagram is not to scale.
Answer:
[tex]k=73[/tex]
Step-by-step explanation:
We have been given a triangle. We are asked to find the value of k for our given triangle.
We will use angle sum property to solve for k. The angle sum property states that all angles of triangle add up-to 180 degrees.
[tex]k+62^{\circ}+45^{\circ}=180^{\circ}[/tex]
[tex]k+107^{\circ}=180^{\circ}[/tex]
[tex]k+107^{\circ}-107^{\circ}=180^{\circ}-107^{\circ}[/tex]
[tex]k=73^{\circ}[/tex]
Therefore, the value of k is 73.
The value of [tex]\angle{k}[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].
Further explanation:
Consider, the given triangle as [tex]\triangle{ABC}[/tex] shown in figure 1.
Now, the value of [tex]\angle{A}[/tex] is 62 degree, the value of [tex]\angle{B}[/tex] is 45 degree and the value of [tex]\angle{C}[/tex] is [tex]k[/tex] .
From the property of the triangle, we know that sum of angles of a triangle is equal to 180 degree.
Now, for [tex]\triangle{ABC}[/tex] it can be written as follows:
[tex]A+B+C=180[/tex] ……(1)
Substitute 62 for [tex]A[/tex], 45 for [tex]B[/tex] and [tex]k[/tex] for [tex]C[/tex] in equation (1) to obtain the value of [tex]k[/tex].
[tex]\begin{aligned}62+45+k&=180\\107+k&=180\\k&=180-107\\k&=73\end{aligned}[/tex]
Thus, the value of angle [tex]k[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].
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Answer Details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangle
Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.
Please help quickly thanks :)
(0, 0) → t = 0, w = 0 → w = 0 · 0
(1, 4) → t = 1, w = 4 → w = 1 · 4
(2, 8) → t = 2, w = 8 → w = 2 · 4
(3, 12) → t = 3, w = 12 → w = 3 · 4
Answer: w = 4tCustomer buys 17.01 in gas and requests one five dollar [$5] lottery ticket, two one dollar [$1] lottery tickets, and one [$3] lottery ticket. He gives you two winning tickets to be redeemed: one for ($5) and the other for ($2). How much change would he receive from a $100 bill?* $20.01 $72.01 $74.99 $79.99 have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14
#1
Answer:
$79.99
Step-by-step explanation:
Add Up All Charges
17.01 + 5 + 2 + 3 = 27.01
Subtract For Winning Lottery Tickets
27.01 - 5 - 2 = 20.01
Subtract Total From $100
100 - 20.01 = 79.99
#2
Answer:
14.
Step by Step Explanation:
Find Out How Many Bars You Use In 7 Days
300 * 7 = 2100
Divide By The Number Of Cases
2100 / 150 = 14
I'll Mark The First To Answer And Work Shown Brainliest!!!!!!!! PLEASE HELP ASAP
In 2005, there were 12,000 students at Beacon High. In 2010, there were 12,250. What is the rate of change in the number of students?
a. 250/yr
b. 50/yr
c. 42/yr
d. 200/yr
Answer:
Step-by-step explanation:
(2005, 12,000) (2005, 12,000)
x1 y1 x2 y2
m= (12,250-1200) / (2010-2005) = 250/5 = 50/1 = or 50
The equation of a line is 4x−3y=−24.
What is the x-intercept of the line?
x-intercept → y = 0
substitute to 4x - 3y = -24:
4x - 3(0) = -24
4x - 0 = -24
4x = -24 |divide both sides by 4
x = -6
An expression is shown below:
square root of 18 plus square root of 2
Which statement is true about the expression?
It is rational and equal to 3.
It is rational and equal to 4.
It is irrational and equal to 3 multiplied by the square root of 2.
It is irrational and equal to 4 multiplied by the square root of 2.
The expression 'square root of 18 plus square root of 2' is irrational and equal to 3 multiplied by the square root of 2.
Explanation:The expression square root of 18 plus square root of 2 is irrational and equal to 3 multiplied by the square root of 2. To simplify the expression, we can't combine the square roots. Therefore, the expression remains in the form of irrational number multiplied by another irrational number.
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Use the fractions to write and evaluate a multiplication expression that represents 70% of 400. Compare the answer to the one you got using the model.
Answer:
[tex]70\% \text{ of } 400=280[/tex]
Step-by-step explanation:
To find : Use the fractions to write and evaluate a multiplication expression that represents 70% of 400.
Solution :
Expression 70% of 400 is written as,
[tex]70\% \text{ of } 400=\frac{70}{100}\times 400[/tex]
[tex]70\% \text{ of } 400=70\times 4[/tex]
[tex]70\% \text{ of } 400=280[/tex]
Therefore, [tex]70\% \text{ of } 400=280[/tex]
A store clerk has 45 shirts to pack in boxes. Esch box hold 6 shirts what is the fewest boxes the clerk will need to pack akk the shirts
To solve the equation t² - t = 12 by factoring, you would use t(t - 1) = 12 t(t - 1) - 12 = 0 (t - 4)(t + 3) = 0
t^2-t=12
t^2-t-12=0
(t-4)(t+3)=0
t=4, -t^2-t=12
t^2-t-12=0
(t-4)(t+3)=0
t=4, -t^2-t=12
t^2-t-12=0
(t-4)(t+3)=0
t=4, -t^2-t=12
t^2-t-12=0
(t-4)(t+3)=0
What does 1/4 of a can of coffee cost if 4 cans of coffee cost $1.60
We know that 4 cans of coffee cost $1.60. So, if we divide that number by 4, we get
[tex] 4\text{ cans of coffee} = 1.60 \iff \dfrac{4\text{ cans of coffee}}{4} = \dfrac{1.60}{4} \iff 1 \text{ can of coffee} = 0.4 [/tex]
Now we can simply repeat this process again: if we divide both sides by 4, we get
[tex] 1 \text{ can of coffee} = 0.4 \iff \dfrac{1 \text{ can of coffee}}{4} = \dfrac{0.4}{4} \iff \dfrac{1}{4}\text{ cans of coffee} = 0.1 [/tex]
How to solve this problem?
The answer should be 1y and -6y
An electronis store had 20% off sale. If a sterreo originally cost 125, how much
PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)☺
P’(9, -1), L’(3, 6)
i just took the assignment and the was correct
have a good day
Explain the differnce between function and relation and the relationship between the domain and the range of a function.
A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.
Given two sets [tex] A [/tex] and [tex] B [/tex], the "starting" set is called the domain, while the "landing" set is called the codomain.
With that being said, a relation is any way you can associate any number of elements in the domain with every number of elements in the codomain.
A function has more restriction: you can associate one and only one output for every input.
If you visualize this with arrows linking domain and codomain, in order for a relation to be a function, only one arrow can start from each point in the domain.
The domain is thus the set of elements from whence an arrow starts. The range is the subset of the codomain, given by the elements that are reached by at least one arrow.
help cant do it? It's trigonometry
I think the answer to your problem is 69
The value of CD = AB = 6.5 cm. Angle CDA = 0 degrees.
To find the value of CD, we can use the fact that the opposite sides of a Trapezium properties are parallel and equal in length.
So, CD = AB = 6.5 cm.
Next, to find the size of angle CDA, we can use the fact that angles formed between perpendicular lines and the base of a trapezium are complementary.
Since BM is perpendicular to AD, angle CDA + angle BDM = 90 degrees.
We are given that angle BDM is 90 degrees, so angle CDA must be 0 degrees.
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The probable question may be:
ABCD is a trapezium
B draws a perpendicular line on segment AD as BM is 90 degree
AB=6.5 cm, AD=23 cm, BC=9 cm , BM is 6 cm
Find the value of CD. Work out the size of angle CDA
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Estimate the area and perimeter. Each square represents 9 yd2.
area: about 22 yd2; perimeter: about 81 yd
area: about 22 yd2; perimeter: about 27 yd
area: about 198 yd2; perimeter: about 243 yd
area: about 198 yd2; perimeter: about 81 yd
d im pretty sure
hope this helps
To estimate the area and perimeter, multiply the number of 9 yd2 squares by 9 for the area and count the edge squares for the perimeter, considering that a square yard is 3 feet by 3 feet.
To estimate the area and perimeter of the figure where each square represents 9 yd2, we need to count the total number of squares for the area and the length of the edges in units of squares for the perimeter. If the figure has 22 full squares, then the area is 22 multiplied by 9 yd2, which equals 198 yd2.
To find the perimeter, count the number of squares along the outer edge of the figure, and multiply by the side length of each square. Assuming that the side length of each square is 3 yards (since a square yard is 3 feet by 3 feet, and 1 yard equals 3 feet), if the perimeter in squares is 27, then the perimeter in yards would be 27 yd.
Subtract the following fractions.6/11 - 3/11=
Note that they have the same denominator (11). Because of this, just subtract across
6/11 - 3/11 = 3/11
3/11 is your answer
hope this helps
The answer is 3/11. Because of the common denominators it is 6-3.