Given:
The equation is
[tex]y=x^2+2x+3[/tex]
To find:
The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].
Solution:
We have,
[tex]y=x^2+2x+3[/tex]
It can be written as
[tex]y=(x^2+2x)+3[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].
[tex]y=(x^2+2x+1)-1+3[/tex]
[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]
[tex]y=(x+1)^2+2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
1. Calculate the scale factor.
a. ⅓ b. ½ c. 2 d. 3
2. Find the value of x.
a. 3•0m b. 3•5 c. 4•5 d. 6•0
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?
Answer:
$47.15
Step-by-step explanation:
41x15%=6.15
6.15+41=47.15
Answer: $47.15
Step-by-step explanation:
[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]
or you could do it in pieces
[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]
Total amount = P (1 + i)t Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20070
Step-by-step explanation:
Given data
Time= 5 years
Principal= $15,000
Rate= 6%
Total amount= P (1 + i)^t
substitute
Total amount= 15000(1 + 0.06)^5
Total amount= 15000 (1.06)^5
Total amount= 15000*1.338
Total amount= $20070
Hence the total amount will be $20070
Mike said he is thinking of a number. If you divide Mike's number by 4, the result is 20. What number was Mike thinking of? Use (n) to represent Mike's number.
Answer:
4x20= n
n= 80
.............
Answer:
n = 80
Step-by-step explanation:
n ÷ 4 = 20
n = 4 × 20
n = 80
Plz help me! And no links!
Answer:
hi
Step-by-step explanation:
What's 0.016 as a fraction
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2/125
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
16/1,000
Understanding place values:
The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.
Step-by-step explanation:
1. Convert 0.016 into a fraction:
0.016 = 16/1,000
2. Simpilfy the fraction 16/1,000:
16/1,000 ÷ 8 = 2/125
2/125 is equivalent to 0.016
Side Note: Step 2. is only for people looking for the simplified answer!
~Hope this helps!
~Hocus Pocus
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
Factor x2 − 8x + 9.
(x − 9)(x − 1)
(x + 9)(x + 1)
Prime
(x + 9)(x − 1)
Answer:
x²-8x+9
Step-by-step explanation:
Answer:
The answer is Prime
Step-by-step explanation:
Attached photo for proof
what is this plzzz help
8(2-4y)+5y(6-3)
Answer:
8(2-4y)+5y(6-3)
16-32y+30y-15
16-2y-15
16-15-2y
1-2y
I'm failing lol. HELP me with math??
Step-by-step explanation:
What do you need help with?
What is the number in What is 95% of 60
Answer:
57
Step-by-step explanation:
57 is 95% of 60
(See image below for more information)
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
4. Phil bought a block of cheese in the shape of a triangular prism measuring 8 inches by 4 inches by 2 inches. What is the volume of the block of cheese?
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Which of the following numbers is an outlier?
1
6
3
4
2
i have no idea what an outlier is maybe 1?
Answer:
2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!
Step-by-step explanation:
1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?
2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!
Answer:
1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.
Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.
Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.
2) The same relationship
Step-by-step explanation:
1)
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
2)
5 x 5 = 25
12 x 12 = 144
13 x 13 = 169
A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
Answer:
$5768.1
Step-by-step explanation:
Given data
Cost price= $13,000
Depreciation= 15%
Time= 5 years
The expression for the depreciation is given below
A= P(1-r)^t
Substitute
A=13000(1-0.15)^5
A=13000(0.85)^5
A=13000*0.4437
A=$5768.1
Hence after 5 years, the car will be $5768.1
HELP giving brainlest and more points
Answer:
[tex]8^{-5}[/tex]
Step-by-step explanation:
[tex](8^{-8})(8^3)\\8^{-5}[/tex]
Exponent equation:
3 - 8 = -5
So this the remaining exponent
the point-slope for mhm of a line that has a slope of -2 and passes through point (5,-2) is shown below y+2=-2(x-5)
A. y=-2x+12
B. y=-2x+8
C. y=-2x-7
D. y=-2x-3
Answer:
y = -2x + 8 (B)
Step-by-step explanation:
Just expand y + 2 = -2(x-5)
y + 2 = -2x +10
y = -2x +8 (minus both sides by 2)
Need help asap will give brainlest whatever it is call
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
___________________________________
[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]
[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]
[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
(2-3)(x-3X2)
Which is the simplified form of the expression
(4-2)(x4) )
?
4x2y 16
4
2..16
X
4
1
14
4
14,8
Answer:
9x³-9x²+2x
Step-by-step explanation:
Let the expression be given as
(2-3x)(x-3x²)
Expand
= 2(x)-2(3x²)-3x(x)-3x(-3x²)
= 2x - 6x² -3x²+9x³
Rearrange
= 9x³-6x²-3x²+2x
= 9x³-9x²+2x
Hence the simplified form of the expression is 9x³-9x²+2x
how do you write the equation of a line in slope intercept form looking at a table?
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
1) Determine the slope (m)
To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug m into [tex]y=mx+b[/tex] .
2) Determine the y-intercept (b)
Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.
I hope this helps!
Find the area of the shaded polygons
PLS HELP ASAP!!
Answer:
4.5
Step-by-step explanation:
I do RSM
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
HELP URGENT!!!!! 50 POINTS
6/1.5=4
is the scale factor for the smaller triangle to the bigger triangle
Answer:
6/1.5=4
Step-by-step explanation:
is y+7=2x a direct variation
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
Please help
Please, please
Answer:
dang you lazy this so easy
-please help this is the last question i have for tonight and im struggling big time D:
Answer:
108 or 72
Step-by-step explanation:
:) cdhhyvfhjyvfyhgfvhghghhhjbh
do you have S s-n-a-p-c-h-a-t
HELP ME PLEASE..... i really need it asap
Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$
Step-by-step explanation:
80 / 5 = 16
50 / 3 = 16.666
