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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.
3) A circle has a radius of 5⁴ units. What is The area of the circle? Write your answer using The Power of 5
Answer:
(5^8)pi
Step-by-step explanation:
(5^4)^2 * pi=5^8 * pi
work out the value 4^2 x2^4
Answer
The answer to this equation would be 64. '^' just means multiplied by. It has the same mathematical definition as the multiplication sign.
Step-by-step explanation:
USING PEMDAS (NO PARENTHESES)
4 x 2 x 2 x 4
8 x 2 x 4
16 x 4
64
USING PEMDAS (WITH PARENTHESES)
(4 x 2) x (2 x 4)
(8) x (2 x 4)
(8) x (8)
64
May I please receive help?
Answer:
m ∠ 2 = 19 * 3 = 57°
Step-by-step explanation:
m ∠ 1 = x
m ∠ 2 = 3x
m ∠ 1 + m ∠ 2 = 76°
3x + x = 76°
4x = 76°
Divide both sides by 4;
x = 19°
m ∠ 1 = 19°
m ∠ 2 = 19 * 3 = 57°
Hey Guys I need some help in answering( some areas of a Triangle) - the Question will be attached Below.
Can you guys also help me by putting the working out too All of the Questions ( Including page 1 & 2 Please so I can also Understand).
Thanks! Greatly Appreciated if you Can!
Step-by-step explanation:
2)
Rectangle has side 5 cm so one side of triangle will be 5cm
area of triangle is = 1/2lb
= 1/2 5*4
=10 cm^2
area of rectangle is l*b = 5*3= 15 cm^2
are of the shape is 10+ 15= 25 cm^2
Area of rectangle is 6*8 = 48 m^2
Area of triangle is = 1/2 *8*2= 8 m^2
area of the shape is 48+8= 56m^2
in triangle abc are shown side ab is 8 and side ac is 4
Answer:
C
Step-by-step explanation:
Segment ad is 4 and ae is 2
V-5v-5v+9v pls help asap
Answer:
0
Step-by-step explanation:
V-5V = -4V
-4V-5V = -9V
-9V+9V = 0
Savvas Slope intercept graph
Answer:
Wheres the graph/question?
Step-by-step explanation:
PLEASE HELP!!!
for questions 8-10 write an equation of the line graphed.
Answer:
8.) y=4/3x+2
9.)y=-0.5x+5
10.)x=1
What is the distance of -4,-6 and 5,-6?
Answer:
Step-by-step explanation:
mp (-4,-6) (5,-6)
mp (-4+5/2, -6+-6/2)
mp ( 1/2, -12/2)
mp (0.5, -6)
please help me, i don’t get this
Step-by-step explanation:
you do know that f(x) is the same as y ?
because the y value is the result of a function (in 2-dimensional space).
for such questions we only need to look at the term with the highest exponent of x.
with large values of x this term then "drowns" out all other terms regarding the dimension of the "limit" the range (= functional results) of the function can reach.
so, the term with the highest exponent of x is here
-4x⁶
all the other terms with x⁵, x⁴, x³, ... are much, much smaller in absolute value than |-4x⁶| for really large values of x (x going to infinity, but also to -infinity).
as explained, the term -4x⁶ is therefore driving the limit or end behavior of the function.
so, what happens here, when x goes to +infinity ?
then x⁶ goes to +infinity.
and that means 4x⁶ goes to +infinity.
but that means -4x⁶ goes to -infinity !
and when x goes to -infinity ?
then x⁶ still goes to +infinity (remember, multiplying 2 negative values gives a positive result, so any form of squaring incl. any even exponents will already have positive results).
and that means 4x⁶ goes to +infinity.
but again, -4x⁶ goes then to -infinity.
so the right answer choice is the second one, where y goes to -infinity in both cases.
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
A)1
B)2
C)3
D)4
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:The rate of change is also known as slope. The slope of a linear function or a line is
It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is
Therefore the slope of first function is 0.
The slope intercept form of a line is
Where, m is the slope and b is y-intercept.
The second function is
Therefore the slope of second function is 2 and the y-intercept is 1.
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Yeah I hope its Helpful for you
Choose me Brainiliest
A newborn baby has about 26,000,000,000 cells. An adult has about 4.94 x 10^*13 cells. How many times as
many cells does an adult have than a newborn? Enter your answer in scientific notation.
An adult has about =
times more cells than a newbom baby.
New born = 2.6 × 10¹⁰ cells.
Adult = 4.94 × 10¹³ cells.
How many times more = adult cells ÷ newborn cells
= 4.94 × 10¹³ cells ÷ 2.6 × 10¹⁰ cells
= 1.9 × 10³ cells
∴ adults have about 1.9 × 10³ more cells than newborn babies.Hi, I need help with this math question .
The image posted below
(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).
Answer:
(6,8)
Step-by-step explanation:
[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+2[/tex]
Put the value[tex]\\ \sf\longmapsto 8=\dfrac{1}{3}(6)+2[/tex]
[tex]\\ \sf\longmapsto 8=2+2[/tex]
[tex]\\ \sf\longmapsto 8\neq 4[/tex]
I’ll give 30 points if you can answer this correctly or 100 it depends
Answer:
Please, it's not clear enough
Answer:
5 per child and 3 tickets
Step-by-step explanation:
5 is the answer
3 tickets is 2nd answer
pls mark brainliest
hey guys pls help mee!!! numbers between 2/3 and 8/9???
Answer:
kindly see attachment carefullyStep-by-step explanation:
hope it helpsAnswer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27
Step-by-step explanation:
Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks
Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
cellus
These triangles
are congruent by
the triangle
congruence
postulate [? ].
A. SSS
B. SAS
C. Neither, they are not congruent
En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mientras que la ecuación de la trayectoria del segundo es de –x+200 +2y, determina si existe el riesgo de que sufran un choque entre ellos.
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
-------------------------
La trayectoria del primero es:
[tex]-x + 2y - 100 = 0[/tex]
[tex]x_1 = 2y - 100[/tex]
Para el segundo, tiene-se que:
[tex]-x + 200 + 2y = 0[/tex]
[tex]x_2 = 2y + 200[/tex]
Igualando los valores de x:
[tex]x_1 = x_2[/tex]
[tex]2y - 100 = 2y + 200[/tex]
[tex]0y = 300[/tex]
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
Un problema similar es dado en https://brainly.com/question/24653364
Given the function g ( x ) = x 2 + 10 x + 20 g(x)=x 2 +10x+20, determine the average rate of change of the function over the interval − 9 ≤ x ≤ − 3 −9≤x≤−3.
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(-3) - g(-9)) / (-3 - -9)
g(-3) = (-3)² + 10×-3 + 20 = 9 - 30 + 20 = -1
g(-9) = (-9)² + 10×-9 + 20 = 81 - 90 + 20 = 11
-3 - -9 = -3 + 9 = 6
(-1 - 11) / 6
-12/6 = -2
the average change rate in this interval is -2 (or fully -2/1).
Please somebody tell me answer please
Answer:
ok
Step-by-step explanation:dfghjklkjgfvg
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NEED THIS ASAP, A rental company charges $50 to rent a truck, plus $1.25 for each mile that the truck is driven.
Which equation best expresses the relationship between the cost, c, of renting the truck in terms of the number of miles, m, the truck is driven?
A. c=50.25
B. c=51.25
C. c= 1.25m+50
D. c=50m+1.25
Answer:
b
Step-by-step explanation:
its b cause theres no mile that tells us
Answer:
C
Step-by-step explanation:
1.25 for each mile so 1.25m plus the original $50
Question
How many angles are formed by the transversal?
angles
Answer:
8
Step-by-step explanation:
Translate the equation and solve.
50% of what is $30?
Answer:
15
Step-by-step explanation:
divided 30 by 2 only work for the 50%
Oh i think this is wrong but i tried sorry
Answer:
$15 :)
Step-by-step explanation:
You have to move the decimal 2× to the left on the 15%, then multiply it by $30 ♡
Dilate XYZ at Center 0 and a scale factor of 12
0
2
Dilate FGHJ at center Rand
How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
When the of a fraction is equal to Response area and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Answer: denominator and 1
Step-by-step explanation: took k12 test
between what two whole numbers is the cube root of 10
Answer:
2 and 3
Step-by-step explanation:
cube root of 10 is equal to 2,15443469
so this number is between 2 and 3
Translate the sentence into an equation.
Two more than the quotient of a number and 4 equals 8.
use the variable c for the unknown number.
Step-by-step explanation:
2 + c/4 = 8
2 more than the quotient of equals 8
a number and 4
1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3
[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]
Answer:The answer is option d. X = 3
Find the solution of the system of equations
8x + 7y = 47
-4x - 5y = -25
Answer:
x,y = 5,1
Step-by-step explanation:
A college student has $240 to use for laundry money. Each time he does laundry, he spends $7.50. Which equation represents the amount of money, M, he has after he has done laundry “x” times?
A) M= 7.50x - 240
B) M= 240 - 7.50x
C) M= 7.50 - 240x
D) M= 240x - 7.50
Answer:
B
Step-by-step explanation:
x = the number of times he does laundry.
Let's say he does the laundry 5 times then x = 5.
Each time costs $7,50.
If you want to know how much money he has spent after 5 times, you have to calculate 5 times $7,50. 7,5 times 5 = 37.5.
M stands for how much money he still has left from the 240 dollars.
If you apply the formula it would be 'M = 240 - 7.50x (7.50 times 5) = 240 - 37.5 = 202.5'
Therefore, the correct answer is B (M = 240 - 7.50x).
