Answer:
[tex]y-18=-2(x+2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
[tex]y-18=a(x+2)^2[/tex]
Now substitute the point (-5,0) and find the value of a:
[tex]0-18=a(-5+2)^2[/tex]
Operating:
[tex]-18=a(-3)^2[/tex]
[tex]-18=9a[/tex]
Solving for a:
[tex]a = -18 / 9[/tex]
a = -2
Thus, the equation of the quadratic function is:
[tex]\mathbf{y-18=-2(x+2)^2}[/tex]
help please! Thanks!
Answer:
2/3
Step-by-step explanation:
the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.
1.)24:56=X:46
A. 18
B. 28
C. 14
D. 24
2.)10:32=25:X
A. 70
B. 80
C. 60
D. 50
3.)18:6=X:11
A. 66
B. 55
C. 22
D. 33
4.)13:169=X:26
A. 10
B. 8
C. 4
D. 2
5.)18:81=22:X
A. 66
B. 55
C. 22
D. 33
6.)X:21=8:12
A. 16
B. 14
C. 21
D. 12
7.)7:X=6:36
A. 22
B. 42
C. 44
D. 20
8.)110:X=45:9
A. 22
B. 42
C. 44
D. 20
9.) 52:12=X:48
A. 208
B. 200
C. 100
D. 108
10.)6:12=17:X
A. 34
B. 33
C. 23
D. 24
Answer:
what's the question???/
Step-by-step explanation:
The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equation in vertex form for this parabola .
Answer:
f(x) = 6(x - 2)² + 3Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
f(x) = 6(x - 2)² + 3
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.
the sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Answer:
The product of the numbers is 63.75
Step-by-step explanation:
Let the numbers be x and y
x + y = 16
x -y = 1
Adding both together
2x = 17
x = 17/2
x = 8.5
Recall
x -y = 1
8.5 - y = 1
y = 8.5 - 1 = 7.5
Their product is xy
so we have 7.5 * 8.5 = 63.75
can someone help with 2.7 please, step by step for better understanding pls, it’d be much appreciated... i don’t have much points left to ask for more help :(
56 mm = 5.6 cm since there are 10 mm in a cm, so we divide by 10 to go from mm to cm.
Since the diameter is 5.6 cm, this means 12 such cans lead to 12*5.6 = 67.2 cm of length needed to house 12 cans along this row.
Similarly, if we had 6 cans along each column, then 6*5.6 = 33.6 cm is needed for this
The diagram below shows what I mean. This diagram is a top-down view of the box. In other words, it's a birds-eye view.
The last dimension we need to take care of is the height of the box. That would be 2*5.6 = 11.2 cm since there are 2 cans along the height
Therefore, the smallest box possible has dimensions of 67.2 cm by 33.6 cm by 11.2 cm
You could have bigger boxes of course, though you'll need to place cushions inside so the cans don't rattle around. The smallest box dimensions listed above are ideal to avoid wasting too much cushion material (you'll still may need some form of cushion though just not as much).
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answer:
me!
Step-by-step explanation:
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2
Answer:
x^2 + 7/2 + 15 is the answer.
Step-by-step explanation:
Make the number that is equal to x be on the side of the x, then multiply those to values.
x = -6
x= 5/2
(x + 6)*(x - 5/2)
Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.
[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]
#teamtrees #WAP (Water And Plant)
Write the equation of the line fully simplified slope-intercept form
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5
Is f(x)=6x2-13 one to one function? Show with full process
Please answer my question and you will mark as Brainly
Answer:
It is not a function thats all I know sry
Step-by-step explanation:
Can someone help me out plz?! You can get 50 points?!
Try using the pythagorean theorem i think?
Answer:
The Base is Greater than the height
Step-by-step explanation:
So the answer has to be greater than eight.
Help please it’s due in a bit
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
I only need help with the third one
Answer:
240
Step-by-step explanation:
12/100 X 2000
=240
the answer is 240
Answer:
$240
Step-by-step explanation:
"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
J + 15 = 3(J - 1)
Answer:
J + 15 = 3(J - 1)
Step-by-step explanation:
I am 99% sure this is the right answer.
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8
Answer:
1.2
Step-by-step explanation:
apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
yeah so can u help me
Answer:
5 + (-9) = -4
I hope this helps!
i suck at math. help me. i would app it.
Answer:
x= 2
Step-by-step explanation:
y = 7 means it is parallel to the x axis . so the perpendicular line is to be parallel yo the y axis. .
so the equation is to be like x = c
but it is passing (2,13)
so the equation is
x= 2
2 rectas se cortan formando 4 ángulos iguales ¿cuanto mide cada uno?
Answer:
Cada ángulo igual es recto, es decir, mide 90°
Step-by-step explanation:
Intersección de dos rectas
Cuando dos rectas no paralelas se intersectan, forman en el punto de corte 4 ángulos iguales de a pares, es decir, dos pares de ángulos congruentes.
La suma de todos los ángulos formados es invariablemente 360°.
En general, siendo a y b dos ángulos adyacentes formados por el cruce, se cumple que:
a + b = 180°
Y la suma de todos los ángulos es el doble de lo anterior:
2a + 2b = 360°
Si todos los ángulos son iguales, a=b, entonces:
4a = 360°
a = 90°
Cada ángulo igual es recto, es decir, mide 90°
You can buy 1 bunch of grapes for $2. How many can you buy with $18?
Answer:
9
Step-by-step explanation:
what is the answer
Answer:
-5,5
Step-by-step explanation:
Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.
Answer:
48+x=75
Step-by-step explanation:
Subtract 48 from both sides. 75-48 is equal to 27. x=27
Answer:
x [tex]\geq[/tex] 27
Sally has to complete at least 27 more hours
Step-by-step explanation:
Let x represent the number of hours she will complete next
Since students need at least 75 hours, use a greater than or equal to sign.
The total number of hours that Sally will complete can be represented by
x + 48, since she has already done 48 hours.
Use the greater than or equal to sign, and put 75 on the other side:
x + 48 [tex]\geq[/tex] 75
Next, solve the inequality:
x + 48 [tex]\geq[/tex] 75
x [tex]\geq[/tex] 27
So, Sally has to complete at least 27 more hours.
should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?
Use both!
You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.
P = 8/x + 2x
dP/dx = -8/x² + 2 = 0
8/x² = 2
x² = 8/2 = 4
x = ± √4 = ± 2
You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²P/dx² = 16/x³
When x = -2, the second derivative is negative, which means there's a relative maximum here.
When x = 2, the second derivative is positive, which means there's a relative minimum here.
So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.
What is the reason for step 3 of this proof?
Answer:
Vertical Angles Theorem
Step-by-step explanation:
A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item
Answer:
A belt costs $15 and a wallet costs $27.
Step-by-step explanation:
Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:
x + y = $42
7x + 4y = $213
The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:
-4x - 4y = -168
7x + 4y = 213
Now, we simply add these two equations up:
-4x - 4y + 7x + 4y = -168 + 213
3x = 45
x = $15
Now, we plug in x into any of the two starting equations to find y:
x+y=42
15 + y = 42
y = $27
What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?
Answer:
Equation: y-5=8(x+4)
Step-by-step explanation:
Point-slope form is y-y1=m(x-x1)
Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation
The side of a square flower bed is 1m 80cm. It is enlarged by digging a strip 20cm wide all around it. find. a) the area of the enlarged flower bed b) the increase in the area of the flower bed.
Answer:a)40,000 b) 7600cm2
Step-by-step explanation:
Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.
Answer:
The probability of a van getting rented next is 25%.
Step-by-step explanation:
The graph is attachedProbability Formula:
number of favorable outcomes / the total number of outcomesGiven Information:
Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3Calculations:
number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4Probability of a van getting rented: 1/4 or 25%
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answer:
The answer is D
Step-by-step explanation:
EDGE2020
The answer is:
A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
F(x) is the output, or y values, and the y values on this coordinate plane from (negative infinity, -0.7) to (0.76, 2.5) do not have values above 0. Hence, F(x) is less than 0 over the given intervals.