Answer:
y = (x - 2)² - 9 Vertex form
y = x² - 4x - 5 Standard form
Step-by-step explanation:
vertex = (h, k) = (2, -9)
Vertex form
y = a(x - h)² + k
y = a(x - 2)² - 9
find "a" using point (5, 0)
0 = a(5 - 2)² - 9
0 = a(3)² - 9
0 = 9a - 9
9 = 9a
a = 1
y = (x - 2)² - 9
Standard form
y = (x² - 4x + 4) - 9
y = x² - 4x - 5
any method that uses formulas, figures, or proportions to measure an object Is a(n) ______?
Answer:
Indirect measurement
Step-by-step explanation:
Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th
Answer:
23.32 Miles
Step-by-step explanation:
According to the Question,
Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .(For Diagram Please Find in Attachment)
In Triangle ABC , Apply Pythagoras Theorem, We get
AC²=AB² + BC²
AC² = 12² + 20²
AC² = 544 ⇒ √544 ⇔ 23.32 miles
Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?
Answer:
i think isA
Step-by-step explanation:
Help ASAP !!!
What is the angle of 1
Answer:
100°
Step-by-step explanation:
m L 1 = (180-100) + 20 = 80+20 = 100°
18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?
Answer:
The correct answer us 9/15<4/4
Can I please have a brainliest? I want to rank up :)
I NEED HELP WITH THIS ASAP PLEASEEEE :(
Answer:
[tex]\sqrt{1}[/tex]
Step-by-step explanation:
Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]
Hope this helps!!
Please mark me Brainliest
:)
differentiate
f(x)= 186.5
Answer:
Hope this helps!
Step-by-step explanation:
f'(x)=0
Find the sum of the first 41 terms of the following series, to the nearest integer. 4, 12,20,...
Answer:
Sum of the first 41 terms = 6724
Step-by-step explanation:
[tex]a_{41} = a_1 + (n - 1 )d = 4 + (41 - 1) \times 8= 4 + 40 \times 8 = 324\\\\S_n = \frac{n}{2}(a_1 + a_n)\\\\s_{41} = \frac{41}{2} (4 + 324) = \frac{41}{2} \times 328 = 41 \times 164 = 6724[/tex]
The sum of the first 41 terms of the following series, to the nearest integer, is 6724.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
An arithmetic sequence,
4, 12,20,...
The common difference d,
d = 20 - 12 = 8.
To find the sum of the first 41 terms:
We will find the 41st term.
Remember that,
aₙ= a₁ + (n-1)d
a₄₁ = 4 + (40)8
= 324
The sum of the first 41 terms,
Sₙ = (41/2)(4 + 324) = 6724.
Therefore, the sum is 6724.
To learn more about the arithmetic sequence;
https://brainly.com/question/29616017
#SPJ2
Which of the following questions is a statistical question?
What is the top-selling board game?
In what aisle are the board games located in the local store?
How many board games require a deck of cards to play?
How many board games have you played in the past month?
Answer:
A statistical question is one that requires collection of DATA that vary.
The Last two questions are statistical questions.
Hope the helps!
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answer:
Both A and B
Step-by-step explanation:
They both pass vertical line test
WILL GIVE BRAINLIEST: What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)
Answer:
Step-by-step explanation:
you can find where the first derivative is 0 to find the critical points
g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x
g'(x) =0, make y =0 to find find where g'(x) is 0
4x³-10x =0 , factor 2x
2x(2x²-5)= 0 , each factor must be 0
2x= 0, so x= 0
2x²-5 =0, so x = ±√5/2
we now have 3 critical points -√5/2, 0, and √5/2
make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)
pick a point to test on each interval: -2, -1, 1 and 2 for example, and
calculate g'(x) = 4x³-10x at those points
for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease
for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase
for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease
for x= 2 we have 4(2)³-10(2) = 12, positive number, increase
we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum
we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so
x= √5/2 ≈ 1.58 is a minimum as well
Which choice is the slope-intercept equation of the line shown below?
A. y=-1.5x+3
B. y=-1.5x-3
C. y = -1.5x
D. y = -1.5x + 2
Answer:
A)
Step-by-step explanation:
x + 3 > 70
How do I solve this step by step?
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, and a piece 13 feet long. Find the total length of pipe in feet. If he uses 5 feet of pipe on a job, how many feet of pipe are left?
^lets start off easy☺️^
Jack is 5 years older than Mary. In four years the sum of their age is 33 years old. What are their ages?
Answer:
mary=10 jack=15
Step-by-step explanation:
After 4 years Mary (x+4), Jack's age (x+5) + 4.
sum of the ages after 4 years :(x+4) + (x+5) +4=33
Simplifying the equation:
2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age
10 + 5 = 15 which is Jack's age.
Please answer quickly this is due today and I just can’t figure it all out I only have 2 inequalities not 4!!
In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities
Answer:
Step-by-step explanation:
These are physical measurements, which must be zero or greater. These restrictions are the reason for your having a total of four inequalities.
Write the function as an algebraic equation
David bought a chain of fast-food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 14% annually.
Be sure to label the headers of the table from the problem.
Years: Stores:
0
1
2
3
4
5
6
Algebraic Equation:
Show work:
Answer:all ansers below
Step-by-step explanation:
0=200
1=228
2=260
3=296
4=338
5=385
6=439
hope this helps
Anthony owns a small business selling ice-cream. He knows that in the last week 7
customers paid cash, 40 customers used a debit card, and 32 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.
Answer:
91
Step-by-step explanation:
91
5 to 20 1 to 4 7 to 480
Find the slope of the line
Answer:
-4/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-1) / 0 - (-6)
-4/3
if you solve this ..
u are not human being .
Answer:
I have not solved
Step-by-step explanation:
I am human being sonI didn't answer
Mark me as brainliest
Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Helpp
Given:
The equation is:
[tex]y=2x+1[/tex]
To find:
The y-coordinates for the ordered pairs (0, _), (-1, _) and (1, _)for this equation.
Solution:
We have,
[tex]y=2x+1[/tex]
For [tex]x=0[/tex],
[tex]y=2(0)+1[/tex]
[tex]y=0+1[/tex]
[tex]y=1[/tex]
For [tex]x=-1[/tex],
[tex]y=2(-1)+1[/tex]
[tex]y=-2+1[/tex]
[tex]y=-1[/tex]
For [tex]x=1[/tex],
[tex]y=2(1)+1[/tex]
[tex]y=2+1[/tex]
[tex]y=3[/tex]
Therefore, the complete ordered pairs are (0,1), (-1, -1) and (1,3). Plot these points on a coordinates plane and connect them by a straight line as shown in the below figure.
what is the answer to 6x + 5(2x + 7) = 9x + 5
Answer: OOOOOKAY So I got three answers they all equal to the same thing
Step-by-step explanation:
Exact Form: x = -30/7
Decimal Form: -4.285714..
Mixed Number Form: x - 4 2/7
Find the value of x. If necessary, round to the nearest tenth.
Answer:
10.3 in
Step-by-step explanation:
a = (1/2)b*h
53 = (1/2)x * x
53 = (1/2)x²
Multiply both sides by 2
106 = x²
Take the square root of both sides
x = 10.3
PLEASE HELP ASAP <3 Express as a trinomial (3x+5) (x+1) :)
Answer:
[tex]3x^2+8x+5[/tex]
Step-by-step explanation:
[tex](3x+5)(x+1)[/tex]
[tex]3x(x+1)+5(x+1)[/tex] Distribute
[tex]3x(x+1)+5(x+1)[/tex] Distribute [tex]3x(x+1)[/tex]
[tex]3x^2+3x+5(x+1)[/tex]
[tex]3x^{2} +3x+5(x+1)[/tex] Distrbute [tex]5(x+1)[/tex]
[tex]3x^2+3x+5x+5[/tex] Combine like terms
[tex]3x^{2} +8x+5[/tex]
Answer:
3x²+8x+5
Step-by-step explanation:
Hi there!
We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)
we can multiply using FOIL; firsts, outers, inners, and lasts
Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)
So we'll multiply:
3x*x=3x²
Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1) (remember to include the sign!)
So we'll multiply:
3x*1=3x
then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)
So we'll multiply:
5*x=5x
finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)
So we'll multiply:
5*1=5
now let's add up everything:
3x²+5x+3x+5
we have some like terms that we can combine
3x²+8x+5
Hope this helps!
please helppp!! I don't know how to do this
Answer:
it would be (-2,-4)
Answer:
I = (- 2, - 4 )
Step-by-step explanation:
point I is positioned 2 left ( - direction ) and 4 down ( - direction ) from O
The ordered pair ( coordinates ) of point I = (- 2, - 4 )
A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 8 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line
Answer:
The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.
Step-by-step explanation:
I have the same exact question and I also do acellus.
What is the value of x?
Enter your answer in the box.
x =
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.
[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]
✐ The value of x is 6.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Express cos I as a fraction in simplest terms.
Answer:
Solution given
Cos I=adjacent/hypotenuse=16/34
8/17 is a required answer.
The value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the hypotenuse is 34.
What are the trigonometry and trigonometric ratio?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle and the trigonometric ratio are defined as the ratio of the pair of sides of a right-angled triangle.
We have a right-angled triangle in the picture.
If we take ∠I to calculate the ratio of cosec.
We know the cos is the ratio of the side adjacent to the angle to the side opposite to the right angle.
The length of the side adjacent to the angle A = 16 units
The length of the side opposite to the angle H = 34 units
Then
[tex]\rm cosI = \frac{A}{H}[/tex]
[tex]\rm cosI = \frac{16}{34}[/tex]
[tex]\rm cosI = \frac{8}{17}[/tex]
Thus, the value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the side opposite to the right angle is 34.
Know more about trigonometry here:
brainly.com/question/26719838
Find the equation of the line through the points (6, -9) and (-2, -1).
Enter your answer in slope-intercept form y = mx + b.
Answer:
y = -1x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-9) / -2 - 6
8/-8
= -1
y = -1x + b
-1 = -1(-2) + b
-1 = 2 + b
-3 = b
