Answers
Answer:
[tex]y=-3(x+2)^2-3[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The graph provided in the question, assumed as a parabola, has two clear points:
The vertex, located at (-2,-3)
The point (-1,-6)
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x-(-2))^2-3[/tex]
[tex]y=a(x+2)^2-3[/tex]
The value of a will be determined by using the other point (-1,-6):
[tex]-6=a(-1+2)^2-3[/tex]
Operating:
[tex]-6=a(1)-3[/tex]
Solving:
a=-3
The equation of the graph is:
[tex]\boxed{y=-3(x+2)^2-3}[/tex]
Related Questions
Write the sentence as an equation.
251 is the same as 139 less than the product of a and 233
Answers
Answer:
251 = 139 < 233a
I hope that this is correct and that it helps you
find the volume of the composite figure?
Answers
Answer:
V = 12 in^3
Step-by-step explanation:
A = 1×2×2
A = 4 in^3
B = 4×2×1
B = 8 in^3
V = 12 in^3
If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)
Answers
Answer:
-15
Step-by-step explanation:
g(f(-4))=g(4(-4)-5)=g(-21)
g(-21)=-21+6=-15
4x -1 = -x+9 i need help its for a testtt
Answers
Answer:
x = 2
Step-by-step explanation:
4x - 1 = -x + 9
add x to both sides.
4x + x - 1 = 9
add 1 to both sides
4x + x = 9 + 1
5x = 10
x = 2
Answer:
[tex]\boxed {x = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4x - 1 = -x + 9[/tex]
-Take [tex]x[/tex] and add it to [tex]4x[/tex]:
[tex]4x - 1 + x = -x + x + 9[/tex]
[tex]5x - 1 = 9[/tex]
-Add [tex]1[/tex] to both sides:
[tex]5x - 1 + 1 = 9 + 1[/tex]
[tex]5x = 10[/tex]
-Divide both sides by [tex]5[/tex]:
[tex]\frac{5x}{5} = \frac{10}{5}[/tex]
[tex]\boxed {x = 2}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]2[/tex].
Complete the following equality. 4 days = hours
Answers
Day: 4
Hour: 96
Days Hours
1 Day 24 Hours
2 Days 48 Hours
3 Days 72 Hours
4 Days 96 Hours
Answer:
96 hours
Step-by-step explanation:
each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.
9 = -7w + 12w – 6
Solve steps explaining pls
Answers
Answer:
Step-by-step explanation:
9 = - 7w + 12w - 6
by transposing,
9 + 6 = -7w + 12w
15 = 5w
w = 15 / 5
w = 3
Hope this helps
plz mark as brainliest!!!!!!
Answer:
[tex]w=3[/tex]
Step-by-step explanation:
[tex]9 = -7w + 12w -6[/tex]
Start by combining like terms ([tex]-7w+12w[/tex]):
[tex]9=5w-6[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]15=5w[/tex]
Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:
[tex]3=w[/tex]
_
Check your work by substituting the solved value of [tex]w[/tex] ([tex]3[/tex]), into the initial equation:
[tex]9 = -7(3) + 12(3) -6[/tex]
Multiply:
[tex]9=-21+36-6[/tex]
Combine like terms:
[tex]9=9[/tex]
Since both sides of the equation are equal, our answer is correct!
x - y = 4 and x + y = 9
Answers
Answer:
5-1=4 and 5+4=9
Step-by-step explanation:
[tex]\huge\red{ƛƝƧƜЄƦ}[/tex]
System of Linear Equations entered :
[1] x - y = 4
[2] x + y = 9
Graphic Representation of the Equations :
y + x = 4 y + x = 9
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -x + 9
// Plug this in for variable y in equation [1]
[1] x - (-x +9) = 4
[1] 2x = 13
// Solve equation [1] for the variable x
[1] 2x = 13
[1] x = 13/2
// By now we know this much :
x = 13/2 y = -x+9
// Use the x value to solve for y
y = -(13/2)+9 = 5/2
Solution :
{x,y} = {13/2,5/2}
Hope it Helps ☺Which point in the graph represents the y-intercept?
Answers
what is the answer to this
Answers
Answer:
23
Step-by-step explanation:
3+3=6
6+2=8
8+4=12
12+2=14
14+2=16
16+1=17
17+2=19
19+2=21
21+2=23
Answer:23
Step-by-step explanation:
Evaluate a−b if a=−2.5 and b=25 . Write your answer in simplest form.
Answers
Answer:
-27.5
Step-by-step explanation:
-2.5-25=
-27.5
4. Tom borrowed $600 at 10% per year, simple interest, for 3 years. How much did he have to repay (principal
interest) at the end of the 3 year period? ??
Answers
Answer:
$180
Step-by-step explanation:
Clarissa sells handmade bracelets for each. The graph below shows her profits after expenses.
What does the point represent?
Answers
It represents how many bracelets she sold and the profit she makes from it.
Unscramble the letters below to form a math word:
MEANLOMPCETY
Answers
Given M = the set of counting numbers and N = the set of even numbers, find M - N.
need answer
Answers
Answer:
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Step-by-step explanation:
M = the set of counting numbers
set of counting number are are all the numbers which is used for counting.
They are also called Natural numbers
In numerical form set of counting numbers can be represented as
M = the set of counting numbers = 1,2,3,4,5,6,7,8,9..............................till infinity
N = the set of even numbers
set of even numbers all the counting numbers which are multiple of two
In numerical form set of counting numbers can be represented as
N = the set of even numbers = 2,4,6,8,10,12................so on till infinity
__________________________________
now we have to find M-N
it means from set of counting number, all the even numbers would be excluded
IN such case
If we exclude all the even numbers, then only odd numbers will remain.
M-N will be = 1,3,5,7,9,11,.....................................so on it till infinity
If we look it closely , the given set is set of odd numbers
odd numbers are counting numbers in form of 2n+1 where n = 0,1,2,3....
Thus,
M-N can also be said as set of odd numbers
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Choose the answer that best represents the situation described below.
Sue wants to mail a glass vase. The bigger the box she uses, the more
packing materials she will need to make sure the vase will not break.
A. The size of the box is a function of the amount of packing
materials needed.
B. The amount of packing materials needed is a function of the size
of the box
C. The size of the box is a function of the size of the vase.
Answers
Answer:
b The amount of packing materials needed is a function of the size
of the box
Step-by-step explanation:
The amount of packing materials needed is a function of the size
of the box
1. Sоlvе fоr X: -243 -9(10 + х)
Answers
Answer:
x=-37
Step-by-step explanation:
-243-90-9x=0
or,-333=9x
x=-37
your ans plezz..... mark brainliest
What is the y-intercept of the line y + 11 = –2(x + 1.5)?
Answers
Answer:
-14
Step-by-step explanation:
y + 11 = -2(x + 1.5)
y = -2(x + 1.5) - 11
y = -2x - 3 - 11
y = -2x - 14
Answer:
for the y-intercept, i got -14
Step-by-step explanation:
The expression equals ___ ?
Answers
3/6 over 4 simplified?
Answers
Answer:
I think its 1/8
Step-by-step explanation:
Keep Switch Flip
Keep the 3/6 switch the symbol and flip the 4
3/6 x 1/4 = 1/2 x 1/4 = 1/8
What type(s) of symmetry does the figure have?
Answers
Answer:
both points and rotational only
Answer:
I would say point and rotational symmetry SUPER MEGA sorry if im wrong
k(n)=3n+2; Find k(0)
Answers
Answer:
2
Step-by-step explanation:
substitute 0 for n:
3(0)+2
=2
Answer:
2
Step-by-step explanation:
4 cachorros se terminan un paquete de croquetas en 6 días, si tuviéramos 3 cachorros ¿cuantos días duraría el paquete ?
Answers
Answer:
4 1/2 días.
Step-by-step explanation:
En la pregunta se nos dice que:
4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?
4 cachorros = 6 días
3 cachorros = y días
Cruz multiplicar
4 cachorros × y = 3 cachorros × 6 días
y = 3 cachorros × 6 días / 4 cachorros
y = 18/4
y = 4 2/4
y = 4 1/2 días
Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.
Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300
Answers
Answer:
600 minus 28 w less-than-or-equal-to 300
Step-by-step explanation:
Answer:
600 minus 28 w less-than-or-equal-to 300
Step-by-step explanation
what is the value of 3b2−b when b = 5?
Answers
3(5)2-5
5*3=15
5*2=10
You add that 25
Minus the last b Which would make it 20
:)
Janet is three years older than her sister Julie. Janet’s brother is eight years younger than her sister Julie. The sum of all their ages is 55 years.
Answers
23+20=43
43+ 12=55
(b^5)^3 x b^4 simplify
Answers
I hope this helps:D
Answer:
b^19
Step-by-step explanation:
In the first factor, we need to use a formula to simplify. The formula is x^a^b = x^(ab). So that means that our first factor simplifies to b^15. Then we add up the powers to simplify it even more. b^15 * b^4 = b^19 using another formula. Therefore b^19 is the answer.
H=2.9L+78.1
About how tall would the male have been if the length of the humerus measured 39 cm?
Answers
Answer:H=191.2
Step-by-step explanation:
H=2.9(39)+78.1
H=113.1+78.1
H=191.2 cm
An electrician charges a base fee of $70 plus $45 for each hour of work. The minimum the electrician charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
Answers
Answer:
1) See below for table.
2) Domain: [tex]\{1, 2, 3, 4\}[/tex]
Range: [tex]\{160, 160, 205, 250\}[/tex]
Yes, this is a function.
Step-by-step explanation:
We know that the electrician charges a base fee of $70 plus $45 for each hour of work.
We also know that the minimum the electrician charges is $160.
Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:
[tex]y=45x+75[/tex]
Part 1)
Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.
1 Hour:
We have:
[tex]y_1=45(1)+70[/tex]
Multiply and add:
[tex]y_1=45+70=\$115[/tex]
However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:
[tex]y_1=\$160[/tex]
2 Hours:
Substitute 2 for x:
[tex]y_2=45(2)+70=90+70=\$160\\[/tex]
So:
[tex]y_2=\$160[/tex]
3 Hours:
Substitute 3 for x:
[tex]y_3=45(3)+70=135+70=\$205[/tex]
So:
[tex]y_3=\$205[/tex]
4 Hours:
Substitute 4 for x:
[tex]y_4=45(4)+70=180+70=\$250[/tex]
So:
[tex]y_4=\$ 250[/tex]
Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.
We can create the following table (please scroll down to see the table. Also, y is measured in dollars).
Part 2)
The domain of a relation are the input values.
In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.
Therefore, our domain in this context is:
[tex]\{1, 2, 3, 4\}[/tex]
The range of a relation are the output values.
In this context, the output values are the price for x hours of work.
Therefore, our range in this context is:
[tex]\{160, 160, 205, 250\}[/tex]
This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.
For our table, none of the inputs are repeating. So, our relation is a function.
And we're done!
Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05
Answers
If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.
How to find the monthly payment?For 30-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 30years × 12 months = 360
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1
Monthly payment = 18,957.7574/14.15771760
Monthly payment = $1,339.04
For 20-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 20years × 12 months = 240
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1
Monthly payment = 7,660.239666/5.12476186615
Monthly payment = $1,494.7
Difference = $1,339.04 - $1,494.7
Difference = $155.66
Therefore the correct option is B.
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PLEASE HELP ME!
Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?
ry-axis
rx-axis
R0,90°
R0,270°
Answers
Answer:
it right
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
