Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.
음
Х
?
Recheck
Try again
Answers
Answer:
f(x) = -4x² - 24x - 38
Step-by-step explanation:
f(x )= -4(x + 3)² – 2
Expand the squared term
f(x) = -4 (x² + 6x + 9) - 2
Distribute the -4
f(x) = (-4x² - 24x - 36) - 2
Combine like terms
f(x) = -4x² - 24x - 38
Related Questions
In the diagram given below, △DEF∼△DGH, Find q
Answers
Answer:
q=3
Step-by-step explanation:
The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?
Answers
Your answer would be option three, y = 1/3 x -9 :)
solve the system by substitution -4x+3y=-2 y=x-1
Answers
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
Answers
I think that the answer is A.
Why is there a letter also on Mathematics?
I mean, there is a letter in English...
I don't know why there is a letter like 2x + 19 and x + 23.
It's really frustrating that there's a letter in Mathematics
They can just do "3*4" instead of "x*4 when x=3"
I know... I know... It's a silly question.
Answers
Answer:
Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths
Step-by-step explanation:
helppppp! how do I find this?
Answers
Answer:
y=3x-6
Step-by-step explanation:
(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.
(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.
Plugging in the two points from the graph.
Hence, y=3x-6
A cross section is made parallel to the bases of a right triangular prism. Which of the following statements is true regarding the area of the cross section and the area of the base?
The area of the cross section is less than the area of the base.
The area of the cross section is greater than the area of the base.
There is insufficient data to determine these area relationships.
The area of the cross section is equal to the area of the base.
Answers
Answer:
The area of the cross section is equal to the area of the base.
Step-by-step explanation:
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
Answers

Pls someone help me
Answers
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108
add
108 + 108 + 60 + 60 = 336 square units
Which of these could be the graph of F(x) = 3 • (0.5)^x?
Answers
The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.
Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).
The triangle was translated…
The answers:
4 units to then left
4 units up
4 units to the right
4 units down
Answers
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
21.6in^3
Step-by-step explanation:
\text{Volume of Pyramid:}
Volume of Pyramid:
V=\frac{1}{3}Bh
V=
3
1
Bh
Where B is the area of the base
\text{Perimeter of base}:
Perimeter of base:
\,\,10.4
10.4
\text{Side length of base}:
Side length of base:
\,\,\frac{10.4}{4}=2.6
4
10.4
=2.6
Divide perimeter of square by 4 to get side length
\text{Area of base}:
Area of base:
\,\,2.6^2=6.76
2.6
2
=6.76
Area of a square is s^2
B=
B=
\,\,6.76
6.76
h=
h=
\,\,9.6
9.6
given
V=
V=
\,\,\frac{1}{3}Bh
3
1
Bh
V=
V=
\,\,\frac{1}{3}(6.76)(9.6)
3
1
(6.76)(9.6)
Plug in
V=
V=
\,\,21.632
21.632
V\approx
V≈
\,\,21.6\text{ in}^3
21.6 in
3
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answers
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answers
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answers
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
if sides of a triangle have lengths 8 ft and 12 ft.
Answers
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus
Answers
Answer: 12.56 cm
Step-by-step explanation:
Pi looks like this π or 3.14 or 22/7
A formula for circumference is: C = 2π r
The radius or r listed in the diagram is 2cm.
1) Plug r into the equation...
C = 2π 2
2) Simplify the equation
C = 4π
3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)
However both answers come out to be 12.56
the product of 6 less than a number and 4 more than the
number
Answers
Answer:
(x-4)(x+8)
Step-by-step explanation:
Twenty times the square of a non-zero number is equal to 20 times the number.
Answers
Answer:
the number could be 0 or 1
Step-by-step explanation:
20x² - 20x = 0
20x(x - 1) = 0
20x = 0
x = 0
x-1 = 0
x = 1
help I don't know the answer
Answers
p = 6,000
step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p
Used car auctions give car dealers an opportunity to increase their used car inventory by purchasing cars used as rental cars, assigned to company executives, and other similar activities. Suppose population 1 is all black cars sold at used car auctions, and population 2 is all white cars sold at used car auctions. Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions. Based on this, using both the appropriate symbol and in words, state the one parameter of interest.
a. The parameter of interest is μ the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
b. The parameter of interest is μ1, the mean sale price of all black cars sold at used car auctions.
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
d. The parameter of interest is μ2, the mean sale price of all white cars sold at used car auctions.
Answers
Answer:
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions
Step-by-step explanation:
Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
The parameter of interest is the difference. Suppose we have that [tex]\mu_1[/tex] is the mean sale price of all black cars sold at used car auctions, while [tex]\mu_2[/tex] is the the mean sale price of all white cars sold at used car auctions. Since the parameter of interest is the difference, it is [tex]\mu_1 - \mu_2[/tex], and the correct answer is given by option c.
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answers
Answer:
21
Step-by-step explanation:
28x3/4
I need help with aleks
Answers
Answer:
All angles are equal because all sided are equal so the 1st 1 is 60 .
the 2nd is 80
what is 3 /8 times 4/7 in simplest form
Answers
Answer:
3/14
Step-by-step explanation:
please help asap!!! 20 points!! 6th grade math.
Answers
Answer:
What? i can't even read it
Step-by-step explanation:
Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.
Answers
Answer: A, D, and E
Step-by-step explanation:
7.
Which number line represents the solution to 2x + 3 < 5?
Answers
I think it's option 2.
Answer:
Option 2
Step-by-step explanation:
Option 2 is the answer
hope it helps uu
brainliest pls
I need help please urgent
Answers
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
How to do y=5x+2 and 3x=-y+ 10
Answers
y = 5x + 2
5 is the slope 2 is the y-intercept
3x = -y + 10 turns into y = -3x + 10
-3 is the slope 10 is the y-intercept
they intersect at (1, 7)
step-by-step explanation:
I’m not sure what you are wanting me to do with these but i will give you all the information about them
y = 5x + 2 is already in slope-intercept form
5 being the slope and 2 being the y-intercept
to solve for 3x = -y + 10
-3x+y +y-3x
y = -3x + 10
the slope is -3
the y-intercept is 10
they intersect at (1, 7)
what is
1/3 x (15+6)
Answers
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7