Answers
Problem 1
ax^2+bx+c is standard form(x+p)(x+q) is factored formThere's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).
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Problem 2
Other names for zeros are:
A) x interceptsD) solutionsThe term "root" is also applicable here.
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Problem 3
We set each piece equal to 0 and solve for x. This is the zero product property
f(x) = (x-2)(x+4)
0 = (x-2)(x+4)
(x-2)(x+4) = 0
x-2 = 0 or x+4 = 0
x = 2 or x = -4
The two x intercepts are located at (2,0) and (-4,0)
Answer: Choice C
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Problem 4
In the last problem, we found the two roots were x = 2 and x = -4
I'll let p = 2 and q = -4.
Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1
This is the x coordinate of the vertex. So h = -1
Plug this into the function to find k, which is the y coordinate of the vertex.
k = f(h)
k = f(-1)
k = (-1-2)(-1+4)
k = (-3)(3)
k = -9
The vertex is located at (h,k) = (-1, -9)
This is another way of saying the vertex is when x = -1 and y = -9
Answer: Choice C
Related Questions
Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?
Answers
Answer:
Less
Step-by-step explanation:
If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.
edge is stressful how do you get caught up quick
Answers
What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent
Answers
Answer:
64.58
Step-by-step explanation:
Answer:154.84%
Step-by-step explanation:
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
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2(2x2 + 3) =
Example how you got the answer
Answers
Answer:
22
Step-by-step explanation:
4x4+6
16+6
=22
Answer:
14
Step-by-step explanation:
i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.
Given the sequence: 128, 32, 8, 2, ½, …
State the rule verbally. In other words, state how you would tell someone the sequence without just listing the numbers in the sequence.
Write the recursive rule for the sequence.
Write the explicit rule for the sequence.
please help me :')
Answers
Recursive rule: an=r•an-1
An=0.125(4) is the answer
this is a geometric rule because your dividing
Explicit rule: 128+4(n-1)
What are the coordinates of the points that will complete the square?
PLEASEEEE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
(-2,-1)
Step-by-step explanation:
A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.
Answer:
Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.
te dejo la respuesta de todos modos
(-2,-1)
work out (10 - 3 x 2) ^2
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Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge
Could anyone help me with this question please?
Answers
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
Can someone help me with this umm math thingy
Answers
Answer:
1. The similar triangles are ΔXYZ and ΔPQR
The triangles are similar by the AA rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. x = 17.5
4. x = 20
Step-by-step explanation:
1. The angles of triangle ΔXYZ are;
∠X = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°
The angles of triangle ΔPQR are;
∠P = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°
The angles of triangle ΔABC are;
∠A = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°
Therefore, the two similar triangles are ΔXYZ and ΔPQR
The triangles are similar based on Angle-Angle (AA) rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. We have by corresponding triangles formed by the tree and Enzo as follows;
5 ft./(6 ft.)= x/(21 ft.)
∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.
x = 17.5 feet
4. By corresponding triangles, we have;
(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)
∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.
x ft. = 20 ft.
∴ x = 20
this killing me pls help ♀️
Answers
Add 3 to both sides.
-6p = 12
Divide -6 by both sides.
p = -2
Urgent please help, will give brainliest
Answers
Answer:
51.89085
Step-by-step explanation:
area = 49pi
150/360 * 49pi = 64.14085
triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25
==> white region = 64.14085 - 12.25 = 51.89085
The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?
Answers
9x-7i>3(3x-7u)I need the answer please
Answers
Step-by-step explanation:
9x-7i<3(3x-7u)=
9x-7i<9x-21u=
-7i<-21u=
i<3u
find x, find jl . any help is deeply appreciated :) !
Answers
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
Negative X plus negative one equals 3X plus -5 what is X
Answers
-x-1=3x-5
then it should be x=1
can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.
Also put two of these words in it Although or so unless.
40 points
Answers
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answers
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
y=5x+1 graph the equation
Answers
This is how you would graph y=5x+1
Y=-9
So the point would be x=-2 and y=-9
what is the "input" of a function
Answers
A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.
Answers
Answer:
4/25
Step-by-step explanation:
The total number of marbles is 2+3=5 total
P(1 red, then a second red) = (2/5) * (2/5) = 4/25
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
Answers
Answer: C. 0 ≤ x ≤ 230
When the A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].
Calculation of the domain of the equation:Here the domain is the values of 'x' in the function f(x).
the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)
So, the domain of the function for this situation is [0,260].
Learn more about domain here: https://brainly.com/question/18573273
Help me with this q uesitpn please
Answers
7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
Answers
Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
bag contains 16 balls 4 are blue. how what percentage of balls are blue ?
Answers
Answer:
25% is the answer. 4 is 25% of 16.
Which of the following is most likely the next step in the series?
Answers
Answer:
your answer is D
Step-by-step explanation:
hope it helps
have a great day (:
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.
Answers
Answer:
9
Step-by-step explanation:
the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls
Answers
Answer:
0.25x
Step-by-step explanation:
got it right on cengage
4. Find the product of (a+b)(a²-ab+b?)
Answers
Answer:
a³+b³
Step-by-step explanation:
this is formula. You can also refer to the attachment
Answer:
Step-by-step explanation:
(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)
= a*a² - a*ab +a*b + b*a² - b*ab + b*b
= a³ - a²b + ab + a²b -ab² + b²
= a³ - a²b + a²b + ab - a²b + b²
= a³ + ab - a²b + b²
value of x
plz answer correctly
Answers
Answer:
it is 80°
cause it is coming from the same cord AB
O and C will be same
Answer:
x = 40
Step-by-step explanation:
x = 80÷2 = 40
Central angle theorem