Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²Step-by-step explanation:
Step 1: Define
f(x) = x² - 14x + 63
Step 2: Rewrite
Separate: f(x) = (x² - 14x) + 63Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49Simplify: f(x) = (x - 7)² - 14Answer:
-7 and 14 on khan
Silvio is putting his books on a shelf. The shelf is 12 inches long. If each book Is LaTeX: 1\frac{1}{2}1 1 2inches wide, how many books can he put side-by-side on the shelf?
Answer:
8 books
Step-by-step explanation:
1 book = 1 1/2 inches
Length of the shelf = 12 inches
Hence,
3/2 inches = 1 book
12 inches = x
3/2 × x = 12 × 1
x = 12 ÷ 3/2
12 × 2/3
4 × 2
= 8 books
Hence, he can put 8 books side-by-side on the shelf.
ill give brainliest
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x = −3. If the area of ΔABC is 9 square units, then find a possible y-coordinate of point C.
5
6
7
8
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
Factor this polynomial expression.
15x^2- 2x - 8
O A. (5x + 4)(3x - 2)
O B. (5x - 4)(3x+2)
O C. (5x + 2)(3x - 4)
O D. (5x-2)(3x+4)
Answer:
B. (5x - 4)(3x + 2)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] 15x² - 2x - 8
The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.
So,
[tex] \longrightarrow [/tex] 15x² + (10 - 12)x - 8
[tex] \longrightarrow [/tex] 15x² + 10x - 12x - 8
[tex] \longrightarrow [/tex] 5x(3x + 2) - 4(3x + 2)
[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)
URGENT PLEASE I AM TIMED URGENT SOLVE THE PROBLEM AND PLEASE, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER, GIVE DETAIL'S I WILL MARK AND 5 STARS
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75
HELP!
(4x + 5y)(2x - 3y) + 3xy
What is the quotient of -3/8 And -1/3?
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way!
[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]
Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:
[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]
Now multiply
[tex]\frac{9}{8}[/tex]
And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Find the least common multiple of 12 and 18?
Mr. Diaz bought a board that was 7 feet long. He cut the entire board into pieces that were LaTeX: \frac{1}{3}1 3 foot long. How many pieces did Mr. Diaz have ?
Answer: Mr. Diaz will have 21 pieces.
Step-by-step explanation:
Given, Length of the complete piece bought by Mr. Diaz= 7 feet
Length of each piece cut = [tex]\dfrac13[/tex] foot
By division operation,
Number of pieces = ( Length of complete piece ) ÷ (Length of each piece cut)
[tex]=7\div\dfrac13=7\times3=21\ \ [\because a\div \dfrac{b}{c}=a\times\dfrac{c}{b}][/tex]
Hence, Mr. Diaz will have 21 pieces.
2. H(x) is a quadratic function and H(1) = 1, H(-2) = 16, and H(3) = 11. What is the value of H(-1)?
A. 7
B. 3
C. -3
D. 8
E 5
Answer:
d
Step-by-step explanation:
0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Complete question :
The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Answer:
1.54 times
Step-by-step explanation:
Given that:
Average length of Gila monster = 0.608 meter
Average length of chuckwalla = 0.395 meter
Number of times the Gila monster is than the Chuckuwalla :
Average Length of Gila monster / average Length of chuckwalla
= 0.608 meter / 0.395 meter
= 1.5392405 times
= 1.54 times
Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)
ASAP Can somebody plz answer all of them correct except for #1 thanks!
(Only if u done this before)
WILL MARK BRAINLIEST
Answer:
For number 2 that is going to be 1 4/5
number 3 is going to be 5 4/7
Number 4 is going to be 8 1/3
Number 5 is going to be 3 1/6
Number 6 is going to be 6 3/11
Step-by-step explanation:
I hoped this helps
Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 10and 11
next question
11)
[tex] {x}^{2} + (k - 1)x - k = 0[/tex]
[tex](x - 1)(x + k) = 0 \\ x = 1 \\ x = - k[/tex]
they are equal so both are one
then k = -1
be careful the answer of q 10 is in the pictures
Please help me before I fail... I really need some help
Answer:
sin 61 degrees = x/55
55 * sin 61 degrees = x
x is approximately 48.1 if I did the math right
Step-by-step explanation:
hope it helps! gl
if u guys can do this it will be awsome
uh?
Step-by-step explanation:
sooo what am i gonna do??
Answer:
Your basically supposed to color the parts based on the answering the 8 questions on your paper.
If you do not have an questions, then just color according to the numbers.
BTW I see the word "MATH" hidden.
Describe a principle that the philosophies of Locke, Montesquieu, and Rousseau have in common.
Look at the incomplete multiplication problem below.
632 times 29 = 5688. 5688 + question mark = blank
What value is missing?
Answer:
Locke, Rousseau and Montesquieu agreed that nations would be built on social institutions, or even what Montesquieu considered a legislation which would describe the laws of the country and put in concrete what privileges the citizens and the state have.
Answer:
d 18,328
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
Based on the data in the table, how many members would you expect there to be in the band in 2018?
Year Number of Band
Members
2014 40
2015 46
2016 54
2017 64
number of members =
Answer:
About 204 people will go to the band in 2018.
Step-by-step explanation:
64 + 54 + 46 + 40 = 204.
loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price
The discount is $24.5 and Sale Price is $122.5.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
loren wants to buy a golf club that is $98.
Sale= 25% off
So, the discount is
= 98 x 25/100
= 98 x 1/4
= $ 24.5
and, the Sale Price is
= 98 + 24.5
= $122.5.
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ2
x + y = 12
x - y = 10
What is the value of the x-determinant for the system shown?
-12
-22
-2
Answer:
Step-by-step explanation:
-22
A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?
Answer:
X=$7
Step-by-step explanation:
x + 2x + 12y + 4 = ?
Answer:
3x +12y+4
Step-by-step explanation:
Please help! Step by step explanation, Graph the step function over the interval
David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?
Answer:
18%
Step-by-step explanation:
if i am right
it would be subtract 492- 600 = -108
make this a positive value so 108
and divide it by the actual made amount
108/600 which would be 0.18 multiply this by 100 and you have 18% !!
this is what i remember doing!
let me know if it helped
Which of graph has a zero of 4
Graph A.
Graph A has a line passing through (0,4).
.............................................................................
40 mangoes cost $16, if the rate remains the same, how many mangoes can be purchased with $4
Answer:
You can buy 10 mangoes for $4.
Step-by-step explanation:
40/16 = x/4
16x = 160
x = 10
four bottles cost 2.5 dollars. Find the price of each bottle
The mid segment of the triangle is 5x-1. Find the value of x.
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
Find the length of BD in rectangle ABCD. a2 + b2 = c2 5 23 25 31
Answer:
B
23
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
[tex]24^{2} + 7^{2}[/tex] = 625
[tex]\sqrt{625\\}[/tex] = 25
Therefore, the length of BD in rectangle ABCD is 25mm. I just did the test and it is correct. 23 is wrong.
I'll mark brainilest awnser
Answer:
-6
Step-by-step explanation:
let equation of the line be y = mx + c
sub (4, -3)
-3 = 1/2(4) + c
c = -5
sub (-2, y)
y = 1/2(-2) - 5
y = -6
which expression can be used to find the slope of a line containing the points (-3,7) and (7,-1)
Answer:
y2- y1
x2- x1
which would be,
-1 - 7
7- (-3)
Steps:
(-3, 7) (7, -1)
(x1,y1) (x2,y2)
Answer:
slope is delta y over delta x. In other words change in y over change in x. so if you take -3 (this is x) and 7 (this is also x) and you find the change. in this example it is positive 10. now you set that number aside and work on y now. so you now take 7 (this is y) and -1 (this is also y) and you find the change. It is -8. Finaly, since slope is delta y over delta x your answer is -8/10. -8/10 is your slope.
Hope this helped!