Answer:
Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
We are given the function;
f(x) = (x - 3)(x + 7)
The axis of symmetry in a quadratic equation is given by the formula;
x = -b/2a
Expanding the function given, we have;
f(x) = x² + 4x - 21
a = 1
b = 4
c = - 21
Thus;
Axis of symmetry is:
x = -(4)/(2 × 1)
x = -2
Now, y-intercept is when x = 0
Thus;
f(0) = (0 - 3)(0 + 7)
f(0) = - 3 × 7 = - 21
y - intercept is (0, - 21)
x-intercept is when f(x) = 0
Thus;
(x - 3)(x + 7) = 0
Thus;
x - 3 = 0 or x + 7 = 0
x = 3 or x = - 7
x - intercept is (-7, 0) and (3,0)
The y-coordinate of vertex will be at the line of axis of symmetry.
Thus, we will put x = -2 into the function to get;
y = (-2 - 3)(-2 + 7)
y = -5 × 5 = - 25
Vertex is at (-2, -25)
Correct Answer is option C
Answer:
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
How much money will it cost to buy the paint? Show all work
Answer:
Step-by-step explanation:
Circle:
diameter = 30 ft
r = 30/2 = 15 ft
Area = πr²
= 3.14 * 15*15
= 706.50 square feet
Triangle:
base (b) = 30 ft
height (h) = 20 ft
Area = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]
= 300 square feet
Area of four triangles = 4 * 300
= 1200 square feet
Area to be painted blue = area of circle + area of 4 triangles
= 706.50 + 1200
= 1906.50 square feet
Area painted by one bucket blue paint = 350 sq. feet
Number of paint buckets needed = 1906.50 ÷ 350
= 5.44
= 6
6 buckets of blue paint is needed.
Cost of 6 buckets of blue paint = 85.50 * 6
= $ 513
Each part of the design needs two coats.
So Cost for two coats = 2 * 513
= $ 1026
Square:
Side = 40 ft
Area of square = side *side
= 40*40
= 1600 sq. ft
Area of square to be painted yellow = area of square - area of circle
= 1600 - 706.50
= 893.50 sq.ft
Area painted with one bucket of yellow paint = 250 sq. ft
Number of yellow paint buckets needed = 893.50 ÷ 250
= 3.574
= 4
4 buckets of yellow bucket is needed
Cost of 4 buckets of yellow bucket = 64.50 * 4
= $ 258
Each part of the design needs two coats.
So Cost for two coats = 2 * 258
= $ 516
2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?
Answer:
Step-by-step explanation:
number one is SAS
1. B. ΔJKE ≅ ΔLYE because SAS.
2. E. No enough information to prove the triangles are congruent.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem which states that two triangles which have two pairs of corresponding sides that are congruent and a pair of corresponding included angles that are congruent are congruent triangles.
1. Based on the SAS theorem we can conclude that: B. ΔJKE ≅ ΔLYE because SAS.
2. In the triangles given, we are only given that they have two pairs of corresponding congruent sides. No known congruent sides were given. Therefore, we don't have enough information. The answer is: E. No enough information to prove the triangles are congruent.
Learn more about SAS theorem on:
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Which is greater 6/12 or 1/3
Answer:
1/3 is bigger
Step-by-step explanation:
6/12 might look bigger but its not
PLEASE MARK AS BRAINLIEST
what is the value of the expression if m=2 and n-6?
Answer:
where is the expression
Step-by-step explanation:
（＾_＾）（＾_＾）（＾_＾）
What is the answer to this
can you guy help me quick wit this please
Which expression represents a quadratic expression in complete factored form?
A. (x+4)(x-3)
B. (x-1)(3x-9)
C. (2x+4)(x+3)
D. (x-2) + (x+3)
ANSWER PLSSSSSSSSSSSSS, thanks.
Answer:
A. (x+4)(x-3)
Step-by-step explanation:
x+4=0 or x-3=0
x=-4 or x=3
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?
Answer:
80
Step-by-step explanation:
8 pints in a gallon so then you multiply 8 x 10 and get 80
The price of a stock in a company drops $27 every hour. What integer represents
the change in the Stock price after 5 hours?
Answer:
2.25 and 11.25
Step-by-step explanation:
27/12=2.25 twelve is the number of hours and 27 is the total drop in price
2.25*5=11.25 because 2.25 is the drop per hour you want to multiple that by five hours.
Which statements are true about points A, B, and C? Check all that apply.
Answer:
b
Step-by-step explanation:
Answer:
2 & 5
Step-by-step explanation:
Choose Yes or No to indicate whether the statement is correct.
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 42 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
Answer:
Step-by-step explanation:
5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 8,793 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No
n= 9c-80 solve for c. if n= 19 what is the value of c?
Answer:
Step-by-step explanation:
n = 9c - 80
n = 19
19 = 9c - 80
-9c = -80 - 19
-9c = -99
c = 99 / 9
c = 11
Hope this helps
plz mark as brainliest!!!!!!
Please answer this for me :)
Answer:
d = 1.5
Step-by-step explanation:
yes
Answer:
1.5
Step-by-step explanation:
First put like terms on one side:
-3/8d - 1/2d = -11/16 - 5/8
then make the demominators the same:
-3/8d - 4/8d = -11/16 - 10/16
add up the terms:
-7/8d = -21/16
solve for d:
d= 1.5
Arrange the steps to solve the equation V3+3-V23-1= -2.
-Simplify to obtain the final radical term on one side of the equation.
-Raise both sides of the equation to the power of 2.
-Apply the Zero Product Rule.
-Use the quadratic formula to find the values of x.
-Simplify to get a quadratic equation
-Raise both sides of the equation to the power of 2 again.
Answer:
1. Raise both sides of the equation to the power of 2.
2. Simplify to obtain the final radical term on one side of the equation.
3. Raise both sides of the equation to the power of 2 again.
4 . Simplify to get a quadratic equation.
5. Use the quadratic formula to find the values of x.
Fiecare dintre cei 180 de elevi ai unei școli vorbește cel puțin una dintre limbile germană și engleză . Dintre aceștia, 92 vorbesc limba germană și 130 vorbesc limba engleză. *
Numărul elevilor care vorbesc ambele limbi sunt in numar de
Elevii care vorbesc numai germana sunt în număr de
Elevii care vorbesc numai engleza sunt în număr de
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
Learn more about a line here: https://brainly.com/question/27560536
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please help ! i would mark brainliest to the first answer.
x^2 = 4 py
where p<0
Step-by-step explanation:
I think this is it but I am not sure
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer
What is equal to d? I’m sorry but I need help.
Which one is bigger -4 or - 11 ??
Answer:
-4
Step-by-step explanation:
-4 is closer to 0 and -11 is further from xero making it it a less value than -4
16. (a) Find the Highest Common Factor (HCF) of 30 and 42.
Answer: 6
Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.
30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
Hope this helps!
if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer
please hurry aliviabettis
Answer: ummm......real life confusion 101 but, ighty den. i'm not finna ask questions
Simplify each of the following powers of i.
i^99
Answer:
i= sqrt (-1)
If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i
99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd
Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Step-by-step explanation:
which set of order pairs represents a function?
Answer:
3rd line
Step-by-step explanation:
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
400 reduced by twice my age is 68 how old am i
hope it helps.........
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15