Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
help me please!!!!!!!
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
What is the slope of a line that is parallel to y = 5x + 3?
Answer:
slope = 5
Step-by-step explanation:
The equation of a lin in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 3 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes , then
The slope of a line parallel to y = 5x + 3 is 5
What is 0.8782894737 nearest TENTH of a percent?
Answer: 0.9
Step-by-step explanation:
Mark me branliest please
Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?
Answer:
the domain is:
{
−
3
,
0
,
1
,
6
}
the range is:
{
2
,
3
,
4
,
−
6
,
4
}
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation:
{
(
−
3
,
2
)
,
(
0
,
3
)
,
(
1
,
4
)
,
(
1
,
−
6
)
,
(
6
,
4
)
}
:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
{
−
3
,
0
,
1
,
6
}
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
{
2
,
3
,
4
,
−
6
,
4
}
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Answer:
the domain is: { − 3 , 0 , 1 , 6 }
the range is: { 2 , 3 , 4 , − 6, 4 }
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is: {− 3 , 0 , 1 , 6 }
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is: { 2 , 3 , 4 , − 6, 4 }
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Have a good day/night!
what is the perimeter of 4in. 4in.
Perimeter = 4 × side
[tex] = 4 \times 4 \\ = 16in[/tex]
The perimeter of a 4-inch square is 16 inches.
During a sale, a store offered a 25% discount on a tablet computer that originally sold
for $320. After the sale, the discounted price of the tablet computer was marked up
by 25%. What was the price of the tablet computer after the markup? Round to the
nearest cent.
Answer:
304
Step-by-step explanation:
x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Answer: she/he is wrong.
Step-by-step explanation:
no offence.
Please Help, And Include Explanation. I will Give Brainliest To Best Answer
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
Answer:
No question so no answer (just getting points i guess)
Step-by-step explanation:
A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?
Answer:
32
Step-by-step explanation:
Which of the following rational functions is graphed below?
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
#SPJ1
One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.
Answer:
The other small angle is 53.5 degrees
Step-by-step explanation:
We know that a right triangle has to have a 90 degree angle and 2 other small angles.
All triangles when adding up all of their "degrees" has tp equal 180 degrees.
Since we know that there is a 90 degree angle and a 36.5 degree angle.
All we have to do is add 90 plus 36.5, then subtract that sum onto 180.
90 + 36.5 = 126.5
180 - 126.5 = 53.5
So the answer is 53.5 degrees.
Hope this helps! :)
૮ ・ﻌ・ა
A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.
Missing angle = sum of angles in a triangle - (sum of the two given angles)
Missing angle = 180 - ( 90 + 36.5)
180 - 126.50
= 53.5 degrees
Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342
Hot Dog!
Moderate
Previous
If it costs a total of $9 to buy 1 hot dog and 2 bottles of water and it costs a total of $22 to buy 3 hot dogs and 4
bottles of water, how much does a single bottle of water cost?
Answer:
$2.50
Step-by-step explanation:
1h + 2w = 9
3h + 4w = 22
Multiply the first expression x 3
3h + 6w = 27
Subtract the 2 equations
3h + 6w = 27
3h + 4w = 22
2w = 5, w = 2.5
Pls help!!!!!!!!!!!!!
Answer:
eat tacos until you bloat
Step-by-step explanation:
AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA
Which pair of triangles must be similar?
Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle.
Triangles 1 and 2 each have a 35∘ angle.
Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Triangles 3 and 4 are both isosceles. They each have a 40∘ angle.
In a telephone poll, 18 people said they like shopping and 27 people said they do not like shopping. What is the ratio of the number of people who like shopping to the number of people who do not like shopping?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
2/3
Step-by-step explanation:
18/27 simplified is 2/3
At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?
Answer:
33% of the marbles were red
picture. simplify. easy math.
Answer:
3/2
Step-by-step explanation:
simplify 7^2 • 7^6 =
In what grade do you learn this math equation? You don't have to solve, I'm just wondering
13t+6=12t+21
Answer:
I think in grade 6th or 7th I star it learning those types of equations
If x < -4, then -4 is a solution.
True
False
Answer:
true
Step-by-step explanation:
the less than or equal to sign (≤) means that -4 is a solution. if it was the less than sign (<) then -4 would not be included
Answer:
i believe it would be true
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
pls pls pls help!! will mark brainliest
PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!
1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?
2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?
Answer:1. 22
2. 35
Step-by-step explanation:
Answer:
1. $18.00 2. $15.00 your welcome and i hope it helps
Step-by-step explanation:
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
Henry had beaten 12 levels in a video game. If the ratio of levels he had beaten to not
beaten was 6:1, how many levels does the game have total?
Line q has a slope of 5 8 . Line r is perpendicular to q. What is the slope of line r ?
Answer:
35
Step-by-step explanation:
fFjfdisgsiditsykdkhxkgdkdjfzmuraltupsfstdyf and I have been thinking of going to for airport cinema a gia couple trip in September so I can do it at night when I'm back for a couple weeks for a couple more weeks to see what I have a pet for kids ages and I get a lot more of them and a gia tha and I get a lot more than I have to do for the rest I think so much better more I the and I get have on to pank I'm getting more pointsevaluate f(x) = 5(x-4) when x=10
Answer:
Value of [tex]f(10)=30[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 5(x-4)[/tex]
We need to find [tex]f(10)[/tex]
[tex]f(10) = 5(10-4)\\\\=5\cdot6\\\\=30[/tex]
The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?
Answer:
2 grams
Step-by-step explanation:
50 years is 5 half lives as 1 half life is 10 years.
64 divide 2 = 32-1 half life
32 divide 2 =16-2nd half life
16 divide 2 = 8-3rd half life
8 divide 2 = 4-4th half life
4 divide 2 = 2-5th half life
This means we will have 2 grams left of the radioactive substance after 50 years.
Solve for u. (u + 6)(u − 6) = 0
Answer:
u= 6, -6
Step-by-step explanation:
simplify the equation. Isolate the variable.
Hey there!
(u + 6)(u − 6) = 0
DISTRIBUTE “u” WITHIN the PARENTHESES
u(u) + (-6) + 6(u) + 6(-6) = 0
u^2 - 6u + 6u - 36 = 0
COMBINE the LIKE TERMS
u^2 - 36 = 0
ADD 36 to BOTH SIDES
u^2 - 36 + 36 = 0 + 36
CANCEL out: -36 + 36 because it gives you 0
KEEP: 0 + 36 because it helps solve for the u-value
NEW EQUATION: u^2 = 0 + 36
SIMPLIFY IT!
0 + 36 = 36
NEW EQUATION: u^2 = 36
TAKE the SQUARE ROOT
u = ± √36
u = -6 or u = 6
Therefore, your answer is: u = 6 or u = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Chen
An architect designs two similar triangular patos. The first patio has angle measures of (x-30), (y+15), and 60 The second patio has angle measures of X -10 40° and 80°
The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35
On 11/23/21, Genius Sports (GENI) went from $9.90 to $10.40. On the same day, Ondas Holdings (ONDS) went from $7.90 to $8.50.
How much more % gain was ONDS compared to GENI to the nearest hundredths?
Answer:
GENI increased 5.1%
ONDS increased 6%
I am guessing it would be 1% increase
please help me!
ty ty :)
Answer:
y-2 = -11 (x-5)
Step-by-step explanation:
2 is the y value of the point, 5 is the x value and -11 is the m value.
Slope point form: y-y1 = m(x-x1)
Hope that helps
