Answers
Answer:
C
Step-by-step explanation:
We can use the vertex form of a quadratic equation, given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
We are given that the vertex is (-3, 1).
Hence, h = -3 and k = 1. By substitution:
[tex]f(x)=a(x-(-3))^2+(1)[/tex]
Simplify:
[tex]f(x)=a(x+3)^2+1[/tex]
With this, we can eliminate B and D.
Notice that our parabola is curving downwards.
Therefore, our leading coefficient must be negative.
The only choice that leaves us with is C.
So, our function is:
[tex]f(x)=-(x+3)^2+1[/tex]
And our final answer is C.
Related Questions
14. A group of crafters is collecting data on the amount of yarn they use for each scarf knitted. Each person collected 12 pieces of data and will compile that data to determine a population mean. One crafter, Chris, has a sample mean of 200 meters of yarn.
Which statement must be true about this situation?
A. The population mean must be less than 200.
B. The population mean must be greater than 200.
C. The population mean is also 200.
D. There is not enough information to make a conclusion about the population mean.
Answers
Answer:
D. There is not enough information to make a conclusion about the population mean.
Step-by-step explanation:
One of the crafters Chris has a sample means of 200. This means that the average amount of yarn Chris used is 200 meters. Yet there is nothing else given about the other crafters, hence it is impossible to draw a conclusion.
Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually. How much is in his account after five years?
Answers
Answer:
960
Step-by-step explanation:
We know that 4 percent of 800 dollar is 32 dollar. So 32 time 5 (because it ask us how much after 5 year) is 160. Now we add it to 800 because it ask the total in his account so it 960.
After five years, Rajeev have $960 in his account.
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually.
Here, Principal amount = $800
Rate = 4%
Time = 5 years
Hence,
Interest = PRT/100
= 800 x 4 x 5 / 100
= 160
Thus, Total amount after 5 years is,
⇒ 800 + 160
⇒ $960
Therefore, After five years, Rajeev have $960 in his account.
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If someone walks 6 2/3 miles our three day. How many miles how they walked per day
Answers
Answer:
Approx. 2.2 miles
Step-by-step explanation:
Convert 2/3 to a decimal, (.66)
Then, add it to the number 6. (6.6)
Divide the 6.6 miles by 3= 2.2.
Approx 2.2 miles a day
a standardized test has 125 questions with a total of 1300 points
Answers
Answer:
Ummmm.... Whats your qustion???? Im confused...
Step-by-step explanation:
PLZ HELP IF U DONT KNOW PLZ DONT ANSWER
Answers
Answer:
f= -15
Step-by-step explanation:
Today is Lucy's birthday. She is 5 years old. How old is Lucy in months?
Answers
Answer:
60 months
Step-by-step explanation:
hope that helps
Answer:
60 months
Step-by-step explanation:
12 months in a year
12x1=12
12x2=24
12x3=36
12x4=48
12x5=60 (:
A bag contains 1 green, 4 red, and 5 yellow balls. Two balls are selected at random. Find P(1 red and 1 yellow).
Answers
Answer:
1/5
Step-by-step explanation:
Answer:4/9
Step-by-step explanation:
Need help there only one answer
Answers
Answer:
12 + 12x + 6y
Step-by-step explanation:
6(2 + x + x + y)
= 6( 2 + 2x + y)
= 12 + 12x + 6y
Hope it will help :)❤
witch of the following best described perpendicular lines?
Answers
Answer: I have to make one up In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Step-by-step explanation:
Eric bought a pizza pie, he ate 3/8 of the pie,karla ate 1/4 of the pie ,how much of the pizza did eat
Answers
Answer:
5/8 of the pizza was eaten
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
1/4 x 2 = 2/8
3/8 + 2/8 = 5/8
does this graph show a function?
Answers
Answer:
I think no this graph doesnot show function
no
Answer: no
Step-by-step explanation:.
Find the product of the 3+ V11 and its conjugate.
Answers
Answer:
It would be -2.
Step-by-step explanation:
Key skills: Conjugate, Distribution Property, and Addition/Subtraction
3 + [tex]\sqrt{11\\}[/tex] is your expression. The conjugate is an important concept you need to know to solve this.
Given the expression: [tex]a + \sqrt{b\\}[/tex]
It's conjugate would be: [tex]a - \sqrt{b}[/tex]
(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)
1) So the conjugate of [tex]3+ \sqrt{11}[/tex] would be [tex]3 - \sqrt{11}[/tex]
2) Now we would have to multiply them
([tex]3 + \sqrt{11}[/tex])([tex]3- \sqrt{11}[/tex]) is your expression. If you use distribution property, you will get to: [tex]3^{2} + 3\sqrt{11} - 3\sqrt{11} + \sqrt{11}^{2}[/tex] The two middle terms would cancel out (they both add up to 0), so then we have [tex]3^{2} - \sqrt{11}^2[/tex] This would simplify into 9-11, which is then -2Hope you understood, and have a nice day!! :)
Plz anserw the question below.
Answers
Answer:
x=70
Step-by-step explanation:
Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).
We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:
x+35=105
Subtract both sides by 35
x+35-35=105-35
x=70
Therefore, the value of x is 70 degrees.
I hope this helps!
Fill in the table using this function rule.
y=-2x+3
× -2, -1, 0, 1
Answers
Answer:
If x = -2, -1, 0, 1, then (In this order) y = 7, 5, 3, 1
Step-by-step explanation:
If you put in each value of "x" into the equation, you'll get the appropriate "y".
y= -2(-2)+3
y= 4+3
y= 7
y= -2(-1)+3
y= 2+3
y= 5
y= -2(0)+3
y= 0+3
y= 3
y= -2(1)+3
y= -2+3
y= 1
What is the average rate of change of f(x), represented by the table of values, over the interval [-2,3]?
Answers
Answer:
D. 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
Interval [-2, 3]
b = 3
a = -2
f(b) = f(3) = 5
f(a) = f(-2) = 2.5
Step 2: Find
Substitute [ARC]: [tex]\displaystyle \frac{5 - 2.5}{3 + 2}[/tex][Frac] Subtract/Add: [tex]\displaystyle \frac{2.5}{5}[/tex][Frac] Divide: [tex]\displaystyle 0.5[/tex]Write the simplified form of the expression:
(-0.5z+0.9z)-(-0.3+0.9z)=
Answers
Answer:
[tex]=-0.5z+0.3[/tex]
Step-by-step explanation:
Given
[tex](-0.5z+0.9z)-(-0.3+0.9z)=[/tex]
Required
Simplify
Start by removing brackets
[tex]= -0.5z+0.9z+0.3-0.9z[/tex]
Collect Like Terms
[tex]=-0.5z+0.9z-0.9z+0.3[/tex]
[tex]=-0.5z+0.3[/tex]
The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?
Answers
3to 7 = 3x7= 21 boys
there are 20 girls and 21 boys so
21-20= 1
one more boy
HELP PLZ
The PTA plans a spring carnival on a Saturday in April. If it's a sunny day, they estimate
that they will make $3,000, but if it rains, they will lose $600 because nobody will come.
There's a 30% chance of rain on Saturday. Create a probability model.
Answers
Answer:
The probability model is
= P(A or B)
Step-by-step explanation:
a) Data and Calculations:
Estimated revenue if the day is sunny = $3,000
Estimated loss if the day is rainy = $600
The probability of rain = 30%
Therefore, the probability of sunshine = 70% (100 - 30)
The probability model is based on the probability of rain or sunshine
= P(A or B)
= A*70% - B*30%
The outcome from either rain or sunshine
= ($3,000 * 70%) -($600 * 30%)
= $2,100 - $180
= $1,920
(X)=x3-22x2+157x-360 divided by (x-8)
Answers
Answer: 45 tell me if im wrong
Step-by-step explanation:
Use the information to answer the question
A diver is swimming at an elevation of -8 feet when she starts to descend at a rate of 2 feet per second for 7 seconds.
What is the diver's elevation after she descends for 7 seconds? Enter the answer in the box.
feet
Answers
Answer:
-22 ft.
Step-by-step explanation:
So we know that the diver descends (goes deeper) at a rate of 2 feet per second.
We also know that he/she is already at an elevation of -8 feet.
The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:
We do this by multiplying the amount of time by the number of feet (7 x 2)
as we all know 7 x 2 = 14 feet
So the diver dove deeper by 14 feet.
Now we have to add 14 and 8 to find the divers new elevation:
14 + 8 = -22 ft.
The divers' elevation after descending for 7 seconds is -22 ft.
plz mark me brainliest if correct :)
The diver's elevation after she descends for 7 seconds will be -22 ft.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
So we know that the diver descends (goes deeper) at a rate of 2 feet per second.
We also know that he/she is already at an elevation of -8 feet. The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:
We do this by multiplying the amount of time by the number of feet (7 x 2)
As we all know 7 x 2 = 14 feet. So the diver dove deeper by 14 feet. Now we have to add 14 and 8 to find the diver's new elevation:
14 + 8 = -22 ft.
Therefore, the diver's elevation after she descends for 7 seconds will be -22 ft.
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What is the distance between point P1 and P2?
Answers
When rolling a standard number cube: P(3 and then even)?
A. 1/12
B. 1/2
C. 3
D. 150
E. 3.2
Answers
The trapezoid has an area of 115 sq. units.
Answers
Answer:
Its has an area 115 square ft
Step-by-step explanation:
Ugh Lets discuss that when someone posts a PlEaSe HeLp me I have been trying all nIgHt a million people go to that question but when I ask %) points and brainliest no one answers it.
Answers
Answer:
Huh?
Step-by-step explanation:
Answer:
I been trying to get someone to help answer 2 of my English questions and 1 spanish question for like 3 weeks and no one wants to help. But they want my help. Like what's up with that.
Round of 94136 to the nearest whole number
Answers
Answer:
94136
Step-by-step explanation:
It would just be the same thing because their is no decimal or fraction after the number and 94136 is already a whole number
What number is 1/2% of 96? Round the answer to the
nearest hundredth if necessary.
Answers
Answer:
48
Step-by-step explanation:
Pls anaerw this fast
Answers
Answer:
what do you need help with
i would like to know what kind of algebra that i was ?
Answers
Answer:
algebra 1
Step-by-step explanation:
Answer:
basic algebra
This chapter contains elementary algebra tutorials on the following topics:
1. Adding and Subtracting Algebraic Expressions, shows you how to do problems like: Simplify: −2[−3(x − 2y) + 4y].
2. Multiplication of algebra expressions, has examples like:
Expand (2x + 3)(x2 − x − 5).
3. Division of algebraic expressions, for example: (12a2b) ÷ (3ab2)
4. Solving Equations, like this one: 5 − (x + 2) = 5x.
5. Formulas and Literal Equations, which shows how to solve an equation for a particular variable.
6. Applied Verbal Problems shows why we are doing all this.
Step-by-step explanation:
HAHAHAHAHAHA LOL XD
find the value of a? Need help ASAP
Answers
If it is I think 9
Is x-3 a factor of f(x)=x^3-9x^2+22x-3
Answers
Answer: Yes
y-intercept: f(0)= -3