Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.What is the first step when rewriting y = 3x2 9x - 18 in the form y = a(x - h)2 k? What is 50 an 4 fifths in decimal form. Asked By adminstaff @ 25/07/2019 10:27 AM. Mathematics. 1 Answers. Lisa is using the equation x2 (x - 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves theWe want to put it into vertex form: y=a(x-h) 2 +k; We can convert to vertex form by completing the square on the right hand side; 36 is the value for 'c' that we found to make the right hand side a perfect square trinomial; Our perfect square trinomial factors into two identical binomials, (x+6)•(x+6) The vertex of an equation in vertex formEquation at the end of step 1 : (3x 2 - 9x) - 18 = 0 Step 2 : Step 3 : Pulling out like terms : 3.1 Pull out like factors : 3x 2 - 9x - 18 = 3 • (x 2 - 3x - 6) Trying to factor by splitting the middle term 3.2 Factoring x 2 - 3x - 6 The first term is, x 2 its coefficient is 1 . The middle term is, -3x its coefficient is -3 .Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? b. What is the first step when rewriting y = 3×2 + 9x - 18 in the form y = a(x - h)2 + k? 3 must be factored from 3×2 + 9x. Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3? 4 units to the left. Which
What is the simplified expression for 6(2(y x))?
Free linear equation calculator - solve linear equations step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.Rewrite in Standard Form (2x+1)(x-3)(x-2) To write a polynomial in standard form, simplify and then arrange the terms in descending order. Expand using the FOIL Method.What is the first step when rewriting y = 3×2 + 9x - 18 in the form y = a(x - h)2 + k? 3 must be factored from 3×2 + 9x x must be factored from 3×2 + 9x 9 must be factored from 9x - 18 3 must be factored from 3×2 - 18. 3 must be factored from 3×2 + 9x. What is the first step when rewriting y = 6×2 + 18x + 14 in the form y = a(xThe vertex of this parabola is at coordinates $(-3,-63{3/14})$. Whew, that was a lot of shuffling numbers around! Fortunately, converting equations in the other direction (from vertex to standard form) is a lot simpler.
How Do You Convert a Quadratic from Standard Form to
What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k? 3 must be factored from 3x2 + 9x x must be factored from 3x2 + 9x 9 must be factored from 9x - 18 3 must be factored from 3x2 - 18👍 Correct answer to the question A car traveled 88 km in 1.0 hour, 91 km in the next 2.0 hours, and then 76 km in 1.0 hour before reaching its destination. What was the car's average speed? - e-eduanswers.comLeo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k? 3 must be factored from 3x2 + 9x Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k? 3 must be factored from 3x2 + 9x x must be factored from 3x2 + 9x 9 must be factored from 9x - 18 3 must be factored from 3x2 - 18
(*18*) components for the volume of a sphere is V=3/4πr^3 What is the method solved for r?
C
When 10b=5(c+2) is solved for c, one equation is Which of the following is an equivalent equation to search out c?
…
Which graph represents the same relation as the rule y = 2x, for all actual numbers x?
C
Given f(x)=10-2x to find f(7).-43756
-4
Given b(x)=|x+4|, what is b(-10)?
6
Which table represents the similar relation as the set (-6,4),(-4,0).(-3,2).(-1,2)
B
Given h(f)=-2(t+5)^2+4, to find h(-8)-334-1445445
-14
Which graph represents the similar relation as the set
(-3,2).(5,5).(3,3).(3-2)
Which relation beneath represents a one-to-one serve as?
D
Which graph represents the identical relation as the desk below?
D
What is the range of the serve as graphed beneath?
-3<y≤3
In which function is x = 2 mapped to 32?
B
(*18*) area of f(x) is the set of all actual values with the exception of 7, and the area of g(x) is the set of all actual values except -3. Which of the following describes the domain of (G*f)(x)
D
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g*h)(5)?(5 – 7)2(5)2 – 7(5)2(5 – 7)(5 – 7)x2
(5 – 7)^2
If s(x) = x – 7 and t(x) = 4×2 – x + 3, which expression is similar to (t*s)(x)?4(x – 7)2 – x – 7 + 34(x – 7)2 – (x – 7) + 3(4×2 – x + 3) – 7(4×2 – x + 3)(x – 7)
4(x – 7)^2 – (x – 7) + 3
If f(x) = x2 + 1 and g(x) = x – 4, which worth is an identical to (f*g)(10)?3797126606
37
If g(x)=x+1/x-2 and h(x) = 4 – x, what is the price of (g*h)(-3)?
8/5
If m(x)=x+5/x-1 and n(x)=x-3, which serve as has the same domain as (m*n)(x)
h(x)=11/x-4
If g(x)=2x and (f*g)(x)=3/x, what is f(x)
f(x)=6/x
If (z*z)(x)=1/16x, what is z(x)
z(x)=x/4
If h(x) = 5 + x and k(x)=1/x, which expression is an identical to (k*h)(x)?
1/(5+x)
If f(x)=x-3/x and g(x)=5x-4, what is the area of (f*g)(x)?
x≠4/5
Which observation may well be used to give an explanation for why the function h(x) = x3 has an inverse relation that is also a function?(*18*) graph of h(x) passes the vertical line take a look at.(*18*) graph of the inverse of h(x) is a vertical line.(*18*) graph of the inverse of h(x) passes the horizontal line take a look at.(*18*) graph of h(x) passes the horizontal line check.
(*18*) graph of h(x) passes the horizontal line check.
If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
B.
If f(x) = 5x, what is f-1(x)?
C.
If f(x) = 3x and g(x)=1/3x which expression could be used to ensure that g(x) is the inverse of f(x)?
C. 1/3(3x)
Which graph shows a serve as whose inverse is additionally a function?
A.
Which serve as is the inverse of f(x) = 2x + 3?
B.
Which function has an inverse that is additionally a serve as?(-1, -2), (0, 4), (1, 3), (5, 14), (7, 4)(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)
C. (-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)
Which commentary may well be used to provide an explanation for why f(x) = 2x – 3 has an inverse relation that is a function?(*18*) graph of f(x) passes the vertical line check.f(x) is a one-to-one function.(*18*) graph of the inverse of f(x) passes the horizontal line take a look at.f(x) is now not a serve as.
B. f(x) is a one-to-one serve as.
If f(x) and f-1(x) are inverse purposes of each other and f(x)=2x+5 what is f-1(8)?
B. 3/2
If f(x)=5x-25 and g(x)=1/5x+5
C.
(*18*) axis of symmetry of a quadratic equation is x = -3. If certainly one of the zeroes of the equation is 4, what is the different 0?-10-7-6-4
-10
What is the vertex and the equation of the axis of symmetry of the graph of Y=x^2-6x-7?vertex: (-16, 3)a.o.s: x = -16vertex: (-3, 20)a.o.s: x = -3vertex: (3,-16)a.o.s: x = 3vertex: (20, -3)a.o.s: x = 20
vertex: (3,-16) a.o.s: x = 3
What is the equation of the axis of symmetry of the graph of y=ax^2+bx+c
x=-b/2a
What is the vertex of the graph of y = x2 + 4x?(-2, -12)(-2, -8)(-2, -6)(-2, -4)
(-2, -4)
Which serve as is a quadratic function?h(t) = 12 – 8t + 6t3g(t) = 7t2 + 3t3 + 2tk(t) = 3t4 + 3t2 + 4h(t) = 12 – t + 6t2
h(t) = 12 – t + 6t2
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?x = 2y = 2x = 11y = 11
x = 2
(*18*) path of a football kicked via a box goal kicker may also be modeled via the equation y = -0.04×2 + 1.56x, the place x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate most height of the soccer?15.21 yd19.Five yd38.ninety four yd45.sixty three yd
15.21 yd
(*18*) peak of a baseball hit from a bat is modeled by a quadratic serve as of time, h(t). What does the 2nd coordinate of the vertex of the quadratic function constitute?the minimum top of the baseballthe time at which the baseball hits the groundthe time at which the baseball hits the maximum heightthe most top of the baseball
the most peak of the baseball
(*18*) function C(x) = 400x – 0.2×2 represents the total prices for a company to produce a product, the place C is the total cost in dollars and x is the collection of devices bought. Which commentary is true?One thousand devices have the minimal price of 0,000.One thousand devices have the maximum value of 0,000.Two thousand devices have the minimal value of 0,000.Two thousand units have the maximum price of 0,000.
One thousand devices have the maximum price of 0,000.
(*18*) value, C, to supply b baseball bats according to day is modeled through the function C(b) = 0.06b2 – 7.2b + 390. What selection of bats must be produced to stay prices at a minimal?27 bats60 bats174 bats390 bats
60 bats
A rectangular patio is Nine ft by 6 toes. When the period and width are larger through the same amount, the house turns into 88 squareft. Ginger is the use of the 0 product belongings to resolve the equation (6 + x)(9 + x) = 88. What do her answers represent?one imaginable period and one possible widthtwo possible amounts for the widthstwo possible quantities for the lengthstwo conceivable quantities through which the dimensions have been higher
two conceivable quantities in which the dimensions had been higher
(*18*) benefit a company makes from generating x tabletops is modeled via the equation P(x) = 480x – 2×2. For what collection of tabletops does the company make a profit of [scrape_url:1]
{title}
{content}
[/scrape_url]?A hundred tabletops120 tabletops240 tabletops480 tabletops240 tabletops
(*18*) sq. of Nine lower than a number is Three less than the number. What is the quantity?-12 or 7-12 or -7-7 or 127 or 12
7 or 12
(*18*) square of a number is 12 not up to 7 instances the quantity. What is the number?-4 or -3-4 or 3-Three or forty three or 4
Three or 4
What are the solutions to the equation (x – 6)(x + 8) = 0?x = -6 or x = 8x = -6 or x = -8x = 6 or x = -8x = 6 or x = 8
x = 6 or x = -8
Lisa is the use of the equation x2 + (x – 5)2 = 157 to search out two numbers that range by way of 5 and that have squares that sum to 157. When Lisa solves the downside using the zero product assets, what do the two solutions represent?two numbers that range by means of 5 and squares that have a sum of 157one conceivable quantity is 5 less than the different numberone imaginable quantity that can be utilized to seek out numbers that fluctuate via Five and squares that experience a sum of 157two conceivable numbers that can be utilized to search out numbers that fluctuate by way of Five and squares that have a sum of 157
two conceivable numbers that can be utilized to search out numbers that range by way of 5 and squares that have a sum of 157
What are the solutions to the equation 3(x – 4)(x + 5) = 0?x = -4 or x = 5x = 3, x = 4, or x = -5x = 3, x = -4, or x = 5x = Four or x = -5
x = Four or x = -5
A rectangular deck is 12 feet by means of 14 feet. When the period and width are larger by way of the similar quantity, the house turns into 288 sq. toes. By how much were the dimensions larger?2 ft4 ft8 ft10 feet
Four feet
(*18*) solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero consistent, which of the following must be equal to the quadratic equation?
k(x-2)(x-7)=0
(*18*) solutions to the equation 2x^2+x-1=2 are x=-3/2 or
x=1
What is the answer set of the quadratic inequality 6x^2+1≤0?
slashed out 0
What are the answers to the inequality (x-3)(x+5)≤0
-5≤x≤3
What is the answer set to the inequality (4x-3)(2x-1)≥0?
x
An acorn falls from the branch of a tree to the flooring 25 toes underneath. (*18*) distance, S, that the acorn is from the ground as it falls is represented by way of the equation S(t) = -16t2 + 25, where t is the number of seconds. For which period of time is the acorn shifting via the air?
0<t≤5/4
What is the answer set of the quadratic inequality 4(x + 2)2≤0
x=-2
What is the solution set of the quadratic inequality f(x)≥0?
xER
(*18*) graph underneath represents the resolution set of which inequality?-4 to two
x2 + 2x – 8 < 0
Greg is in a car at the most sensible of a roller-coaster trip. (*18*) distance, d, of the automobile from the flooring as the automobile descends is made up our minds by way of the equation d = 144 – 16t2, where t is the selection of seconds it takes the automotive to go back and forth down to every level on the journey. For which interval of time is Greg's car moving in the air?
0<t<3
Reyna runs a textile corporate that manufactures T-shirts. (*18*) benefit, p, made through the corporate is modeled by the serve as p=s2+9s-142, where s is the selection of T-shirts offered. How many T-shirts should be offered to earn a benefit of more than
{title}
{content}
,000?s > 42
If f(x) = x3 – 2×2, which expression is identical to f(i)?-2 + i-2 – i2 + i2 – i
2 – i
Which advanced quantity is represented by the level graphed on the advanced aircraft below?
3 – 4i
In which quadrant is the quantity -14 – 5i located on the complicated airplane?IIIIIIIV
III
If f(x) = 1 – x, which price is an identical to |f(i)|?
sqr2
if i=sq.-1 what is the worth of i3
-i
If the advanced number x = 3 + bi and |x|2 = 13, which is a possible worth of b?
2
Which of the following is identical to 18-sq.-25
18-5i
Which complex quantity has a distance of sqr17 from the beginning on the complicated plane?
4 – i
What is the square root of -1?-ii-11
i
Which complex quantity has an absolute worth of five?-3 + 4i2 + 3i7 – 2i9 + 4i
-3 + 4i
equation
x2 – 2x – 4 = 0
Using the quadratic formulation to resolve 7×2 – x = 7, what are the values of x?
B
What is the discriminant of 9×2 + 2 = 10x?-356-1722872
28
Equation
3×2 – 10x – 1 = 0
What is the discriminant of 3x^2-10x=-2?
76
If x = -3 is the best x-intercept of the graph of a quadratic equation, which statement very best describes the discriminant of the equation?
(*18*) discriminant is 0.
If the discriminant of a quadratic equation is equal to mc027-1.jpg, which remark describes the roots?There are two complicated roots.There are two real roots.There is one real root.There is one complex root.
There are two advanced roots.
Which equation presentations the quadratic components used correctly to unravel 5×2 + 3x – 4 = 0 for x?
A
If x=6 is the only x-intercept of the graph of a quadratic equation, which commentary very best describes the discriminant of the equation?
(*18*) discriminant is 0.
What is the discriminant of three×2 + 6x = 2?12184260
60
Which pair of equations generates graphs with the same vertex?y = -(x + 4)2 and y = (x – 4)2y = -4×2 and y = 4×2y = -x2 – Four and y = x2 + 4y = (x – 4)2 and y = x2 + 4
y = -4×2 and y = 4×2
Which equation is y = 6×2 + 12x – 10 rewritten in vertex form?y = 6(x + 1)2 – 11y = 6(x + 1)2 – 10y = 6(x + 1)2 – 4y = 6(x + 1)2 – 16
y = 6(x + 1)2 – 16
Which phrase highest describes the translation from the graph y = 6×2 to the graph of y = 6(x + 1)2?6 unit left6 unit right1 unit left1 unit right
1 unit left
Which phrase very best describes the translation from the graph y = 2(x – 15)2 + Three to the graph of y = 2(x – 11)2 + 3?Four units to the left4 gadgets to the right8 devices to the left8 gadgets to the right
4 gadgets to the left
Which equation has a graph that is a parabola with a vertex at (-2, 0)?y = -2×2y = (x + 2)2y = (x – 2)2y = x2 – 2
y = (x + 2)2
Which equation has a graph that is a parabola with a vertex at (5, 3)?y = (x – 5)2 + 3y = (x + 5)2 + 3y = (x – 3)2 + 5y = (x + 3)2 + 5
y = (x – 5)2 + 3
Which equation has a graph that is a parabola with a vertex at (-1, -1)?y = (x – 1)2 + 1y = (x – 1)2 – 1y = (x + 1)2 + 1y = (x + 1)2 – 1
y = (x + 1)2 – 1
What is the first step when rewriting y = -4×2 + 2x – 7 in the form y = a(x – h)2 + k?2 should be factored from 2x – 7-Four should be factored from -4×2 + 2xx must be factored from -4×2 + 2x-Four should be factored from -4×2 – 7
-Four must be factored from -4×2 + 2x
What is the first step when rewriting y = 3×2 + 9x – 18 in the form y = a(x – h)2 + k?Three must be factored from 3×2 + 9xx will have to be factored from 3×2 + 9x9 must be factored from 9x – 183 should be factored from 3×2 – 18
3 will have to be factored from 3×2 + 9x
What is the first step when rewriting y = 6×2 + 18x + 14 in the form y = a(x – h)2 + k?Sixteen should be factored from 18x + 14x should be factored from 6×2 + 18x6 must be factored from 6×2 + 146 will have to be factored from 6×2 + 18x
6 must be factored from 6×2 + 18x
Which equation is the inverse of y = 2×2 – 8?
A
Which equation is the inverse of two(x – 2)2 = 8(7 + y)?
D
If the domain of the sq. root function f(x) is mc024-1.jpg, which observation should be true?7 is subtracted from the x-term inside of the radical.(*18*) radical is multiplied via a negative number.7 is added to the radical time period.(*18*) x-term inside the radical has a detrimental coefficient.
(*18*) x-term within the radical has a negative coefficient.
What is the domain of the sq. root serve as graphed underneath?
D
Which equation is the inverse of y = 100 – x2?
A
Which could be the serve as graphed beneath?
f(x)=sq. x -2
if f(x)=square x-3, which inequality can be used to find the area of f(x)?
B
What is the domain of the function y=square x+6-7
B
Which equation can be simplified to find the inverse of y = 5×2 + 10?
A
Which equation may also be simplified to seek out the inverse of y = 2×2?
D
Which equation is the inverse of y = 16×2 + 1?
D
Which equation will also be simplified to search out the inverse of y = x2 – 7?
C
Which equation is the inverse of 5y+4=(x+362+1/2
D
What is the domain of the serve as y=sq. x+4
C
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