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Here is how to do it.
How to calculate axis of symmetry:
Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:
How to calculate vertex:
The vertex form of a quadratic is given by
y = a(x – h)2 + k, where (h, k) is the vertex.
The "a" in the vertex form is the same "a" as
in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)
In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.
Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.
If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.
8x - 3x + 2 - x = ax + b
solve for b
Answer:
b = -ax + 4x + 2
Step-by-step explanation:
8x - 3x + 2 - x = ax + b
~Combine like terms
4x + 2 = ax + b
~Subtract ax to both sides
4x - ax + 2 = b
~Rewrite
b = -ax + 4x + 2
Best of Luck!
Find the new amount increase
700 by 40%
Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6
Answer: x=2 y=4
Step-by-step explanation: elimination method attached below.
Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!
Answer:
[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]
I hope I helped you^_^
Find the missing angle measurement! Please show/tell me what u did to solve the problem aswell
Answer:
x = 12
Step-by-step explanation:
The sum of exterior angles is = 360
one of the angle is given we will need to add all three angles
128 + 8x + 11x + 4 = 360 add like terms
19x + 132 = 360 subtract 132 from both sides
19x = 268 divide both sides by 19
x = 12 replace x in required expressions to find the measure of the angles
please what's -4/5 - -3/5
Step-by-step explanation:
-4/5 - -3/5
-4/5 + 3/5
(-4+3)/5
=-1/5
the answer for -4/5 - -3/5 is −1/5
The figures are similar. Find x ,
Answer:
8 cm
Step-by-step explanation:
Hello there! :)
We are given that these figures are similar.
It means that the sides are proportional. So
[tex]\frac{4}{6} =\frac{6}{x}[/tex]
Cross-multiply:
4x=36
Divide both sides by 4 to isolate x:
x=9 cm
Hope this helps!
~Just a gloomy teen who misses her best friend
[tex]GraceRosalia :-([/tex]
The y –intercept of the function is_____________.
A. (0,0)
B. (0,2)
C. (2,0)
D. none
Answer:
B
Step-by-step explanation:
(x,y)
(0,2)
the 2 lands on the y so therefor 2 is the y-intercept
i hope this helps :)
Which equation represents a line with a slope of -1 that passes through (0, 4)?
Answer:
ajhbdlahv
Step-by-step explanation:
ajksl
help!!! math-----
------------
The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.
100 POINTS & BRAINLIEST!!
Answer:
b
Step-by-step explanation:
Total hours for biweek or 2 weeks
2(20)40hoursHourly pay=$18.25
Total home pay
18.25(40)$730Atleast $255 per week you can easily acquire 1000 also by toil
find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
A cube has a side length of 12 inches. The cube is divided into 8 equal sized sections. What
is the volume of each section?
Answer:
216 cubic inches
Step-by-step explanation:
To find the volume of just the cube:
12 x 12 x 12 = 1728
then to find the volume of the section:
1728/8 = 216
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.
Answer:
Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.
Step-by-step explanation:
how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?
Answer:
25
Step-by-step explanation:
PLS FINDD THIS THIS IS DUE IN 10 MINNNNNN!!! PLEASE DO WITH CLEAR STEPSS!!! I'LL MARK U BRAINLIEST
Answer:
There is no question to answer.
Step-by-step explanation:
Answer:
Where is the question ?
Write the expression for each sentence below. Will give brainlist
1. the sum of 6 and t = 6+ t
2. the product of s and 12
3. the difference of 6 from 10
4. the quotient of 6 divided by t
5. 17 less than 20
6. increase s by 2s
7. decrease 10 by r
8. add 7 times x and 4 times s
9. the quotient of 17 minus 12 and 2
10. the product of 2 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 8 and 6 by a number
Answer:
1.6t
2.12s
3.4
4.6
5.yes
6.2ss
7.10
8.x×x×x×x×x×x×x=×7
s×s×s×s=×4
9.-7
10.no
11.7
12.8×6=48
please solve this problem
please give me the correct answer
I hope this solution works
In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth
Answer:
1846= 0% change
1847= 3.2/5 ×100 = 64% decrease in river
1848= 6.8/3.2 ×100 = 212.5% increase
( used 3.2 because that was the last record)
In today’s lesson you voted a sheet of paper multiple times. Identify the rectangles that were scaled copies of your original rectangle sheet of paper. Use the image to help.
what is the square root of pie?
Answer:
1.77
Step-by-step explanation:
The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.
Answer:
the square root of pie is 1.77245385091
or just 1.77
What is the slope, m, of a line perpendicular to the line 2x+3y=6
Answer:
m = 3/2
Step-by-step explanation:
3y = -2x + 6
y = -2/3x + 2
Perpendicular slope = inverse = 3/2
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x =
Answer:
2/3 My guy
Step-by-step explanation:
Answer:
The completeness property for points in the plane tells us two things
Exactly one point in the plane is named given the numbers of the ordered pair and
Exactly one ordered pair of numbers names a given point in the plane.
To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.)
Answer:
(a^6)^3 / (a^5)^2 = a^8
Step-by-step explanation:
step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis
ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10
step 2: subtract the exponents
ex: a^18 - ^10 = a^8
Joans father is 38 years old today how many days old is he?
Plz complete the table
Answer:
2 and 2
8 and 4
Step-by-step explanation:
Plug the respective x values in to find the y-values or use a GDC.
Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell
Answer:
21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps
Step-by-step explanation:
I think iv seen this question somewhere so did u forget to put 22?
Here is the explaination if u did...
5T -22 = 83
revenue minus expense = profit
5T = 83+22 = 105
T = 105/5 = 21 T shirts sold
hELP! NO LINKSSS U ROBOTS!!!
Answer:
The answer is angle 4.
Step-by-step explanation:
Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C