...................................
2. Write a quadratic equation with roots (-2,0) and (4,0) that has a minimum value
of -36
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
I NEED HELP WITH THIS QUESTION
Answer:
A) 11
It should be right :)
Answer:
11
Step-by-step explanation:
The radius of a semicircle is 2 centimeters what is the semicircular diameter
Simplify the equation
A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?
Answer:
B)
-cube root of 64 to find the length of the cube shaped box
-length of cube shaped box is 4 inches
-So 4 divided by 1 to find how many cubes can fit
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-3(p+2)=-30 solve for p
Answer:
p=8
Step-by-step explanation:
-3p-6=-30
-3p=-24
p=8
Solve for x.
-3x = 15
X= -5
X= 5
X= 45
Find the absolute value. |-5.3|
Answer:
5.3
Step-by-step explanation:
because it is going to the left 5.3 so if you absolute value it, it will still be 5.3
I NEED HELP OR I FAIL PLEASE HELP ME!!!!
Answer:
The answer is A, ST and WX
Step-by-step explanation:
The answer is A because ST and WX are the same size and shape, just mirrored.
Which pairs of matrices are inverses?
Answer:
B is the answer
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2.3r-y+6=21
Find r when y=7
Find y when r=4.23
Step-by-step explanation:
2.3r - 7 + 6 = 21
2.3r - 1 = 21
2.3r = 22
r = 22/2.3
r = 9.6
2.3(4.23) - y + 6 = 21
9.73 - y + 6 = 21
15.73 - y = 21
-y = 5.27
y = -5.27
Here is a polygon Draw a scaled copy of the polygon using a scale factor of
Identify the linear equation.
A) y = x6
b) y=x/6
c) y=6/x
d) y= |x+6 |
find the product :
(127)(-65)
Answer:
-8255
Step-by-step explanation:
Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1
PLEASE HELP QUICK! WILL MARK BRAINLIEST!
Answer:
- John is vertical to georgia
- John is alternate exterior to phillip
- Georgia is corresponding with Phillip
Step-by-step explanation:
Well, these rules are all properties of two lines and a transversal. This means following each of the individual rules, the answers above are derived.
Who to tell if the question is rational or irrational
A right rectangular prism is shown.
To the nearest thousandth of an inch, what is the length of the diagonal, dd?
Answer:
15.56 in.
Step-by-step explanation:
i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.
find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)
use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse
use the Phythagorean theorem again to find d, andddd... you've got your answer!
Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.
Pythagoras theorem: Pythagoras theorem is applicable in a right triangle. Pythagoras theorem is given by the expression,(Hypotenuse)² = (Leg 1)² + (Leg 2)²
By applying Pythagoras theorem in right tringle ΔCBE,
(CE)² = (BC)² + (BE)²
(CE)² = 5² + 12²
CE = √169 = 13 inches
Similarly, apply Pythagoras theorem in right triangle ΔDCE,
(DE)² = (CD)² + (CE)²
d² = 7² + (13)²
d² = 49 + 169
d = √218
d = 14.7648
d ≈ 14.765 inches
Hence, measure of diagonal 'd' will be 14.765 inches.
Learn more about the Pythagoras theorem here,
https://brainly.com/question/12306722?referrer=searchResults
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
Answer:
is that a song you write cause it is good
Step-by-step explanation:
Step-by-step explanation:
My favorite Kid Cudi song, without a doubt. It was one of those songs that was such a huge part of my childhood that I forgot about until maybe a year ago, when I relistened to some Kid Cudi projects and rediscovered this gem. Production's phenomenal, the atmosphere is super fitting when compared to the lyrics, and Cudi's voice works great here.
13. What is the width of a rectangle with length 14 cm and area 161 cm??
[tex]\huge\red{Question}[/tex]
what is the width of a rectangle with length 14 Cm and area 161 Cm^2?
[tex]\huge\green{Answer}[/tex]
Area = width * length
161 = W * 14
W = 161/14 = 11.5
Answer: width of rectangle is W = 11.5 cm
ӇƠƤЄ ƖƬ ӇЄԼƤƧ❤Solve: 3y+5=-1 . What’s the solution?
Answer:
hmmm
Step-by-step explanation:
Represent the situation below as an integer.
Diego owes his father $25.
Answer
-25$
Step-by-step explanation:
Calculate the value of the following determinants: | 1 -1 3 2 5 0 -3 1 2 | and | -1 -8 2 9 1 0 4 1 2 |
Answer:
1) The determinant = 65
2) The determinant = 152
Step-by-step explanation:
Let us show how to find the determinant of a matrix
You can find the determinant of this Matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&m&n\end{array}\right][/tex]
by using this rule
Determinant = a(en - fm) - b(dn - fg) + c(dm - eg)
Let us use this rule with the given matrices
1)
[tex]\left[\begin{array}{ccc}1&-1&3\\2&5&0\\-3&1&2\end{array}\right][/tex]
The determinand = 1[(5)(2) - (0)(1)] - (-1)[(2)(2) - (0)(-3)] + 3[(2)(1) - 5(-3)]
= 1[10 - 0] - (-1)[4 - 0] + 3[2 - (-15)]
= 1[10] + 1[4] + 3[2+15]
= 10 + 4 + 3[17]
= 10 + 4 + 51
= 65
The determinant = 65
Let us do the second one
2)
[tex]\left[\begin{array}{ccc}-1&-8&2\\9&1&0\\4&1&2\end{array}\right][/tex]
The determinand = -1[(1)(2) - (0)(1)] - (-8)[(9)(2) - (0)(4)] + 2[(9)(1) - 1(4)]
= -1[2 - 0] - (-8)[18 - 0] + 2[9 - 4]
= -1[2] + 8[18] + 2[5]
= -2 + 144 + 10
= 152
The determinant = 152
Answer:
1. 65
2. 152
Step-by-step explanation:
edge assignment
x-intercept=3, y-intercept=-4 put into slope intercept form
y = mx + c
y intercept= (0,-4) , x intercept = (3,0)
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(3-0)
m = 4/3
0 = (4/3)(3)+ c
c = -4
Thus, the equation is y = 4/3 x -4
Hope it helps :)
Mark it as Brainliest answer pls :)
HELP ASAP TAKING A TEST I DONT KNOW HOW TO DO THESE I HAVE 1 HOUR PLEASE!
Answer:
diagonal is 11.14 cm
Step-by-step explanation:
We start by writing the equation for the width (w) in terms of the length (L):
w = 2 L - 8
from the area = w * L = 62
we replace w in it: w * L = (2 L -8) * L = 62
2 L^2 - 8 L = 62
2 L^2 - 8 L - 62 = 0
extract 2 common factor:
2 (L^2 - 4 L - 31) = 0
Using quadratic formula we get:
[tex]L=\frac{4+/-\sqrt{4^2-4(1)(-31)} }{2} \\L=\frac{4+/-\sqrt{140} }{2}\\L=7.916\\or\\L=-3.916[/tex]
So, we pick the positive answer L = 7.916 cm
Then we now know the with of the rectangle as well:
w = 2 * L - 8 = 2 * 7.916 - 8 = 7.832 cm
Now we estimate the diagonal of the rectangle using the Pythagorean theorem:
[tex]diag=\sqrt{7.916^2+7.832^2}\approx11.1356\,\,cm[/tex]
which rounded to two decimal places is 11.14 cm
sara can ride her bicycle 3 miles in 12 minutes. at this rate how many miles can she ride her bicycle in 60 minutes?
a. 5
b. 10
c. 15
d. 20
Answer:
A. 5
Explanation:
12 times 5 is 60
The intersection of a square and a regular hexagon can be
Answer: Line Segment
Step-by-step explanation:
In geometry, a line segment is known as a part of a line which is bounded by two individual end points, and contains a point on every part of the line between its endpoints. A closed line segment has both endpoints, while an open line segment doesn’t have endpoints. while a closed half segments has one end closed and the other opened.
What is the image of the point (-2,4) after a rotation of 270° counterclockwise about the origin?
Answer:
(4, 2) the formula for 270 rotation counterclockwise is (y,-x)
Step-by-step explanation:
8) Two lines intersect as shown.
(2x + 20)
60°
What is the value of x?
A 20
B 40
C 50
D60
Answer:
A. 20
Step-by-step explanation:
Vertical angles are congruent, so ...
2x +20 = 60
x +10 = 30 . . . . . divide by 2
x = 20 . . . . . . . . .subtract 10
The vet said Lucy's cat Mitten weighs 8 2/6 pounds. This is 1 5/6 pounds more than Mittens weighed last year. How much did Mitten weigh last year?
Answer:She weighed 7 1/4
Step-by-step explanation: just took the test