To find the x-intercepts of the parabola given its vertex and y-intercept, we can first determine the equation of the parabola. Then, we set y equal to zero and solve for x. In this case, the x-intercepts are 0 and -6.
Explanation:The x-intercepts of a parabola can be found by setting the y-coordinate to zero and solving for x. The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex. In this case, the vertex is (-3, -18), so the equation of the parabola is y = a(x + 3)^2 - 18. Since the y-intercept is at (0, 0), we can substitute these values into the equation to solve for a. Plugging in the values gives: 0 = a(0 + 3)^2 - 18. Solving for a, we get a = 2. Therefore, the equation of the parabola is y = 2(x + 3)^2 - 18. To find the x-intercepts, we set y equal to zero and solve for x: 0 = 2(x + 3)^2 - 18. Simplifying, we have 2(x + 3)^2 = 18. Dividing both sides by 2 gives (x + 3)^2 = 9. Taking the square root of both sides, we get x + 3 = ±3. Solving for x gives the x-intercepts as x = 0 and x = -6.
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how to calculate z=1.15 and z = 2.37 bell shaped normal distribution
3-3x6+2=what is correct answer
This is how I did it:
3 - 1(3x6)+2=
-1x3= -3
-1x6= -6
-3x-6= +18
3+18+2= 23
Is it correct 2 add parentheses around 3x6 and then add an "invisible" 1 in front of the parentheses?
The expression 3 - 3×6 + 2, following the order of operations, results in -13. There is no need to add unnecessary parentheses or introduce an "invisible" 1; multiplication inherently takes precedence.
Explanation:The expression should be evaluated according to the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's solve the expression step by step:
3 - 3×6 + 2
Step 1: Perform multiplication first, since it precedes addition and subtraction in the order of operations.
3 - (3×6) + 2 = 3 - 18 + 2
Step 2: Proceed with addition and subtraction from left to right.
3 - 18 results in -15, and then adding 2 gives us -15 + 2 = -13.
Therefore, the correct answer to the expression is -13.
There's no need to introduce an "invisible" 1 or to add parentheses around the multiplication, as the multiplication already has precedence over addition and subtraction.
what is 1.375 as a fraction
Final answer:
To convert 1.375 to a fraction, express it as 1,375/1,000 and simplify by dividing by the greatest common divisor, which is 125, to get 11/8.
Explanation:
To convert the decimal 1.375 to a fraction, we will follow a few steps. First, count the number of decimal places, which in this case is three. This tells us that the denominator of the fraction should be a power of 10; specifically, 1,000. So we write 1.375 as 1,375/1,000. Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 1,375 and 1,000 is 125. When we divide both the top and the bottom by 125, we get 11/8, which is the simplest form of the fraction.
Converting decimals to fractions involves aligning the decimal with the appropriate power of 10 in the denominator and simplifying by finding the greatest common divisor. This systematic approach ensures the representation of the decimal as a simplified fraction, such as 11/8 in the case of 1.375.
Mountain Ski Corp. was set up to take large risks and is willing to take the greatest risk possible. Lakeway Train Co. is more typical of the average corporation and is risk-averse.
Projects Returns:
Expected Value Standard
Deviation
A $ 527,000 $ 834,000
B 682,000 306,000
C 74,000 135,000
D 140,000 89,000
a-1. Compute the coefficients of variation. (Round your answers to 3 decimal places.)
Coefficient of
Variation
Project A
Project B
Project C
Project D
a-2. Which of the following four projects should Mountain Ski Corp. choose?
Project A
Project B
Project C
Project D
b.
Which one of the four projects should Lakeway Train Co. choose based on the same criteria of using the coefficient of variation?
Project A
Project B
Project C
Project D
1. In the on-line convex-hull problem, we are given the set Q of n points one point at a time. After receiving each point, we compute the convex hull of the points seen so far. Obviously, we could run Graham’s scan once for each point, with a total running time of O(n2lg n). Show how to solve the on-line convex-hull problem in a total of O(n2) time.
2. Show how to implement the incremental method for computing the convex hull of n points so that it runs in O(n lg n) time.
Find The last two digit of 36^2015
Answer:
76
Step-by-step explanation:
The last two digits of powers of 36 repeat in a pattern of length 5:
36^1 mod 100 = 36
36^2 mod 100 = 96
36^3 mod 100 = 56
36^4 mod 100 = 16
36^5 mod 100 = 76
36^6 mod 100 = 36
The last two digits of the power 2015 are the same as those of the 5th power: 76.
Please help me with substitution! I'm terrible at it. :(
-3x+5y=-11
y=2x-5
slope=-1 and y-intercept (0,10).
graph the line.
What is the compound interest if $410 is invested for 13 years at 8% compounded continuously?
-n^2+16n-63/n^2-2n-35
what is the ratio in lowest terms of 14 miles to 84 miles
Claire picked some apples. She used 2/5 of the apples to make jam, She gave 1/3 of the remainder to her neighbor. What fraction of the apples did she give to her neighbor? Can someone please explain step by step please
here is another question 2/5 divided by 1/6
If linear correlation between two variable is negative, what can be said about the slope of the regression line
what percent of 67.5 is 7.02
7.02 is approximately 10.4 percent of 67.5.
To find what percent 7.02 is of 67.5,
Since we know that,
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
We can use a proportion.
Let's call the unknown percent "x."
The proportion would be:
7.02/67.5 = x/100
We can cross-multiply to solve for x:
(7.02 * 100) / 67.5 = x
Simplifying this expression, we get:
x = 10.4
Therefore, 7.02 is approximately 10.4% of 67.5.
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What value of b will cause the system to have an infinite number of solutions?
Answer:
Step-by-step explanation:
b=6
A rectangle's length and width are in a ratio of 8:3. The area is 384 square millimeters. What are the length and width?
Please I really am desperate
Suppose that sin(θ)=6/10 and θ is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
A recent survey suggests that 85% of adults know what Twitter is. How many adults should you survey in order to be 90% confident that your estimate is within 5% of the true population proportion?
what's the answer to this
A new tire that you need for your bike has a radius of 13 inches. What is the circumference of the tire? Use 3.14 to approximate pi. Round your answer to the nearest tenth.
Answer:
81.6
Step-by-step explanation:
this question is pretty old but I hope this helps people like me trying to find the actual answer unlike the first one.
On Monday David travels m miles. On Tuesday he travels 35 more than he did on Monday. On Wednesday he travels a total of twice the distance he travelled Monday. Work out and expression of the total distance he travels during the three days
To find the total distance David travels during the three days, we add up the distances he travels on each day: m + (m + 35) + 2m = 4m + 35 miles.
Explanation:To find the total distance David travels during the three days, we need to add up the distances he travels on each day.
On Monday, David travels m miles.
On Tuesday, he travels 35 more than he did on Monday, so he travels m + 35 miles.
On Wednesday, he travels twice the distance he traveled on Monday, so he travels 2m miles.
To find the total distance, we add up the distances on all three days:
Total distance = m + (m + 35) + 2m = 4m + 35 miles.
A store has a contest to guess the mass of 10,000 peanuts if a peanut has a mass of about 0.45 g what would be a reasonable guess with a mass of 10,000 peanuts
The mass of 10,000 peanuts is 4,500 g or 4.5 kg.
The question asks for a reasonable guess for the mass of 10,000 peanuts, given that each peanut has a mass of about 0.45 g. To calculate this, we simply multiply the number of peanuts by the mass of each peanut:
Mass of one peanut = 0.45 g
Number of peanuts = 10,000
Total mass = 0.45 g/peanut x 10,000 peanuts
Now we will carry out the multiplication:
Total mass = 4,500 g
Since we are dealing with a large quantity of peanuts, it is more convenient to express this mass in kilograms:
4,500 g is equivalent to 4.5 kg (since 1 kg = 1,000 g).
Where's the vertical asymptote?
resultado de x/12 = 9/x+2
3 chairs and a table cost 149 4 chairs and a table cost 177 how much does each item cost?
raise g
to the 7th power,
then subtract h
from the result
To carry out the student's request, you would first raise 'g' to the 7th power to obtain g^7, then subtract 'h' from this result to get the final expression 'g^7 - h'.
Explanation:To solve the expression mentioned by the student, you need to carry out two mathematical operations in sequence. The first operation is raising 'g' to the 7th power, which can be expressed as g^7. The second operation is subtracting 'h' from the result of the first operation. This can be represented mathematically as g^7 - h.
For example, if g equals 2 and h equals 3, then you would first calculate 2^7 which equals 128. Then you would subtract 3 from 128, yielding an answer of 125.
Find a whole number solution that makes the following true
a.) Divisible by 2 and 3 but not 6
b.) Divisible by 5 and 10 but not 2
the function f(x) varies inversely with x and f(x)=8 when x=3
what is f(x) when x=2
12
14
22
48
Answer:
[tex]12[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
For [tex]x=3[/tex] -----> [tex]f(x)=8[/tex]
so
Find the value of k
[tex]f(x)*x=k[/tex]
substitute the value of x and f(x)
[tex]8*3=k[/tex]
[tex]k=24[/tex]
therefore
the equation is equal to
[tex]f(x)=24/x[/tex]
For [tex]x=2[/tex] -------> substitute in the equation and find the value of f(x)
[tex]f(x)=24/2=12[/tex]
why is 50 + 7 x 5 = 85
"The answer is: 50 + 7 x 5 = 85 is correct due to the order of operations.
To understand why 50 + 7 x 5 equals 85, we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to this rule, multiplication and division are performed before addition and subtraction.
Let's break down the expression step by step:
1. Identify the multiplication part of the expression: 7 x 5.
2. Perform the multiplication first: 7 x 5 = 35.
3. Now, we have 50 + 35, since we have already computed 7 x 5.
4. Finally, perform the addition: 50 + 35 = 85.
So, following the order of operations, we correctly get that 50 + 7 x 5 equals 85."