Answer:
[tex]\implies x = 1 \quad or -6 \\\\\implies f(x) = -3x^2-15x + 18 [/tex]
Step-by-step explanation:
Given :-
A quadratic function is given to us. The function is -3(x-1)(x-6)And we need to find out the zeroes of the quadratic function and we need to express it in Standard form. T
Function :-
[tex]\implies f(x)= -3(x-1)(x+6) [/tex]
So for finding the zeroes equate it with 0 .So that ,[tex]\implies f(x)=0 \\\\\implies -3(x-1)(x+6)=0 \\\\\implies (x - 1 )(x+6) = 0 \\\\\implies x = 1 \quad or \quad -6 [/tex]
Therefore the zeroes are 1 and -6 .
Expressing in Standard form :-
The standard form of a quadratic equation is ,
[tex]\implies ax^2+bx + c = 0 [/tex]
And that of a quadratic function is ,
[tex]\implies f(x) = ax^2+bx + c [/tex]
Simplifying the equation :-
[tex]\implies f(x)= -3(x-1)(x+6)\\\\\implies f(x) = (-3x +3)(x+6) \\\\\implies f(x) = -3x(x+6)+3(x+6)\\\\\implies f(x) = -3x^2 -18x +3x + 18\\\\\implies f(x) = -3x^2-15x + 18 [/tex]
Hence the Standard form of the equation is -3x² - 15x + 18 .
Find the value of x. Round to
the nearest tenth.
10
IX
500
X = [?]
Enter the number that belongs in
the green box.
Enter
Answer:
x = 88.2
Step-by-step explanation:
Reference angle = 10°
Opposite = x
Adjacent = 500
Apply TOA:
Tan 10° = x/500
Multiply both sides by 500
500*Tan 10° = x
88.1634905 = x
x = 88.2 (nearest tenth)
I need help ASAP. Last Assignment for this class.
The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving.
(a) What is the period of the function?
(b) What is the amplitude of the function?
(c) What is the midline of the function?
(d) Sketch the first two periods of the graph of the function.
Plot and label the key points of the graph. Label each axis with an appropriate scale.
Answer:
a squared plus b squared equals c squared
Step-by-step explanation the answer either your in for a bumpy ride
4 time 3=12
Answer:
The answer is CStep-by-step explanation:
Find the value of y for the given x equal to a value. y=-2x+7 when x=-2
A. y=3
B. y=-3
C. y=11
D. y=-11
How many solutions does the system y 3x 4 and 6x 2y 8 have?
The system y = 3x + 4 and 6x - 2y = 8 has no solutions.
A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.
If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.
This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.
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plz give step by step explanation
Which is a solution to the equation?
3x + y = 2
a) 4
b) (-1,2)
c) (3-5)
d) (1,-1)
PLS HELP
what would be the equation for this one?
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
What is the length of the longer side ?
Answer:
C.11
Step-by-step explanation:
a perimeter is the total length of all sides of a rectangle. so
rectangle has 4 sides and it says that the shorter side is 5 so 5+5 for the shorter side and it's 10
32-10=22
22÷2= 11
(basta yan lang alam ko, sorry kung mali.)
What is value of tan 90?
Answer:
Step-by-step explanation: infinity or undefined.
Toni invests money into an account which pays a fixed rate compound interest each year.
The total value, £V, of her investment after 't' years is given by the formula=1350 x 1.04t.
How much did Toney invest?
if u get this ur a genius
Answer: Toni invested in pounds= $1350
Step-by-step explanation:rate of compound interest=4%
Step-by-step explanation:
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
Given equation is in the form of
where P is the amount invested
'r' is the rate of interest
t is the time taken
P= 1350 is the initial amount invested
1+r= 1.04 (subtract 1 from both sides)
multiply it by 100 to get percentage
r= 4%
I just search it bc my brain dosent work any more
factor 8x^2+ 30x - 4x + 15
Answer:
(2x+5)x(4x+3)
Step-by-step explanation:
have a nice day
PLEASE HELP 10 POINTS
Answer:
the answer would be 1.35
Step-by-step explanation:
In a school of 600 students, there are seven times as many right-handed pupils as left-handed pupils. How many pupils are right-handed?
Answer:
About 516 students are right handed.
Step-by-step explanation:
Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.
Answer:
I'll setup the problem and leave you to solve it
Step-by-step explanation:
L = number of left-handed students
R = number of right-handed students
you have 2 equations
L + R = 600 (1)
R = 7 x L (2)
solve for L in equation 1
L = 600 - R
substitute L in equation 2
R = 7(600 -R)
multiplying and gathering like terms
8R= 4200
solve for R and you have your answer
Hello! Hope everyones doing ok. could use your help here:
1. Draw 16 stairs. Put them equally into 2 sets. How many stairs are in each set? ___
2. Round each number to the nearest 10. Then subtract : 497 - 315 is about: ___
3. Abel drew some Triangles. his drawing had 21 Vertices. How many triangles did he draw? write a division equation to answer the question: ___
Answer:
180
Step-by-step explanation:
500 - 320
180
this is answer hope it helps
Is log e and log same?
The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
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Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. The sales tax on the video game is 5.75%. How much does Galeno pay for the video game?
Answer:
42.30
Step-by-step explanation:
What is the slope of the line? (30 points)
Answer:
Slope = -1 or (-1/1)
Step-by-step explanation:
slope = m
Point 1: (0, 2); Point 2: (2, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 - 2 -2
m = ----------- = ---------- = ------- = -1 or (-1/1)
x₂ - x₁ 2 - 0 2
I hope this helps!
Your grandmother has given you some money, and now you plan to save what she has given you along with a certain amount of money each week. After 17 weeks, you have $570, and after 29 weeks, you have $822. a) Find an equation (in slope-intercept form) of the amount of money saved after × weeks.
An equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Given that, after 17 weeks, you have $570, and after 29 weeks, you have $822.
Here, (17, 570) and (29, 822)
Substitute (x₁, y₁)=(17, 570) and (x₂, y₂)=(29, 822) in m=(y₂-y₁)/(x₂-x₁)
= (822-570)/(29-17)
= 252/12
= 21
Substitute, m=21 and (x, y)=(17, 570) in y=mx+c, we get
570=21×17+c
570=357+c
c=213
Substitute, m=21 and c=213 in y=mx+c, we get
y=21x+213
Therefore, an equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
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please help me with this
Answer:
i can't see the file can u share it to me
Decompose one number to subtract 726-340
The subtraction of the given number would be = 386
What is subtraction?Subtraction is defined as one of the major arithmetic operations that is used to remove a value from another given values.
The subtraction of the value 340 from 726 would be = 386.
That is; 726 - 340 = 386
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Ashley is training to run a
marathon. On Monday,
she runs 21 miles in 3
hours
COP=??
Answer:
7
Step-by-step explanation:
Answer:
what is a COP huhhh?????
Need to catch up on school work :/
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year if this rate continues find the population of the city in 24 years , (round to the nearest whole number as needed)
Answer: 813,118 people in the city after 24 years
400,000(1+.03)^24
Write an inequality for the situation. A number m is less than or equal to negative two.
on a tryangle if side a is 9 and side c is 19 then what is side b?
Answer:
5
Step-by-step explanation:
help for 100 points please please
Answer:
Step-by-step explanation:
Take the percentages for both 1992 and 2000 and make the average. that is your answer
A small snowcone costs $0.75 at the local snowcone shack. Mrs. Eckelberry had the snowcone shack deliver small snowcones for some of her students. She spent $18.75 for the snowcones. The equation 0.75s = 18.75 could be used to determine how many snowcones were ordered. How many snowcones did Mrs. Eckelberry order? * 16 pointsss!
Answer:
25 snowcones
Step-by-step explanation:
0.75s = 18.75, where (s) is the number of students/snowcones ordered
Divide both sides by 0.75:
0.75s/0.75 = 18.75/0.75
s = 25
Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10
The solution of this system of linear equations is x=3, y=-5.
To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:
From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:4((11+y)/2) + 8y = 24
3((11+y)/2) + 2y = 15
Solve for y in the first equation: 8y = 24 - 44 = -20y = -5
Substitute this value of y back into equation 2 to find x:x = (11 + (-5))/2
x = 3
Substitute the values of x and y back into the original equations to check if they are correct:4(3) + 8(-5) = 24
3(3) + 2(-5) = 15
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The question is -
Solving a system of linear equations in two variables,
4x + 8y = 242x - y = 113x + 2y = 15which number is greater than the number at point p
The mean and median of the five Numbers are the same 4 6 x y 10
The value of x is 7 and value of y is 8
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given data set is {4, 6, x, y, 10}
The mean and the median are the same value.
The median is the middle value, which is x, and the mean is:
M = (4 + 6 + x + y + 10)/5
Then we have that:
(4 + 6 + x + y + 10)/5 = x
Now let's solve this:
(4 + 6 + x + y + 10) = 5x
20 + x + y = 5x
20 + y = 4x
And x and y are whole numbers. Then we can take x = 7 to get:
20 + y = 4*7
y = 28 - 20 = 8
Then we have x = 7 and y = 8.
Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10
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√
18
−
√
2 simplify far as possible
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
An amusement park has a collection of scale models, with ratio 1:20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica at this park, rounded to the nearest whole number
The height in feet of its replica at this park, rounded to the nearest whole number is 14 feet.
What connection exists between height and separation?Distance is the measurement of an object's horizontal distance from a specific location, whereas height is the measurement of an object's height in the vertical direction.
Since the heights of real buildings are 1:10 times higher than those of model buildings, this is evident. We also know that the actual height of the US Capitol is 289 feet, so we divide that figure by 20 to determine the model's height. That amounts to 14.45, rounding to 14. Thus, the duplicate is 14 feet, rounded up to the nearest whole number.
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