Answer:
Set y = 0, evaluate the quadratic at h=−b2a and solve for k.
k=9 I think..... I'm not completely sure but I think that's how it is
Answer:
[tex]\displaystyle \text{Vertex} = \left(k, 3-k^2\right)[/tex]
Step-by-step explanation:
We are given the quadratic equation:
[tex]y=x^2-2kx+3[/tex]
Where k is a non-zero constant.
And we want to determine the vertex of the parabola in terms of k.
The vertex of a parabola is given by the formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 1, b = -2k, and c = 3.
Find the x-coorinate of the vertex:
[tex]\displaystyle x=-\frac{(-2k)}{2(1)}=\frac{2k}{2}=k[/tex]
To find the y-coordinate, we substitute the value we acquired back into the equation. So:
[tex]\displaystyle \begin{aligned} y(k)&=(k)^2-2k(k)+3\\&=k^2-2k^2+3\\&=3-k^2\end{aligned}[/tex]
Therefore, our vertex in terms of k is:
[tex]\displaystyle \text{Vertex} = \left(k,3-k^2\right)[/tex]
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
We know,
Equation of the slope is, y = mx + c. Where m is the slope.
y - 4 = 5/2*(x-2)
y = 5/2*(x-2) + 4
y = (5/2)x - 5 + 4
y = (5/2)x - 1
y = (5/2)x + (-1) [y = mx + c form]
Slope, m = 5/2
Hope this will help. Please mark me brainliest.
Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x
y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2
y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))
Cancel the common factor.
y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)
Rewrite the expression.
y−4=5x2+5⋅−1y-4=5x2+5⋅-1
Multiply 55 by −1-1.
y−4=5x2−5
Add 44 to both sides of the equation.
y=5x2−5+4y=5x2-5+4
Add −5-5 and 44.
y=5x2−1
Reorder terms.
y=52x−1
THE ANSWER IS M = 5/2
Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)
Answer:
log (9) + log(4)
Step-by-step explanation:
log (9.4)
Log (ab) = log (a) + log (b)
log (9) + log(4)
Answer:
A. log ( 9 ) + log ( 4)
Step-by-step explanation:
log( 9.4)
use log (a*b) = log (a) + log (b) to expand expression
log (9) + log (4)
Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?
Answer:
Theresa is 58.82 in tall
Step-by-step explanation:
Let
x----------> Paul and Steve heights
y----------> Theresa height
we know that
1 1/2-------> 3/2---> 1.5
1 1/3-------> 4/3----> 1.33
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
x=1.5y-16-------> equation 1
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height
x=1.33y-6------> equation 2
equals 1 and 2
1.5y-16=1.33y-6
1.5y-1.33y=-6+16
0.17y=10----------> y=58.82 in
x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in
the answer is
Theresa is 58.82 in tall
Anyone know the answer?
Answer:
565.6854249 without rounds
Answer:
Step-by-step explanation:
Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))
The problem has been started for you.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answer:
the third one
Step-by-step explanation: 6 22 22 24
the quotient is 86.6666666 the repeating 6 is sometimes written with a bar above the .6 like
86.6 except the bar is on top of the second 6
Mia takes a job with a starting salary of $40,000 for the first year. She earns a 3% increase each year. Write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, Sn, and r represent (use a_n to represent an).
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Answer:
The partial sum that models the situation
is Sn=a1(1 - rn)/(1 - r).
n = number of years Mia works this job
an = Mia's salary during her nth year
Sn = total amount Mia earns after n years
r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase
Step-by-step explanation:
An electric blender has a price of $240 after import duty is added to the cost price.What is the cost price of the blender if import duty is 20%?
Answer:
$200
Step-by-step explanation:
Given :
Cost of blender + import duty = $240
Import duty = 20% of cost price
Let :
Cost of blender = x
Import duty = 20% of x = 0.2x
Therefore,
x + 0.2x = $240
1.2x = 240
x = 240 / 1.2
x = $200
Cost of blender = $200
In order for the parallelogram to be a rhombus x = ?
The value of the x is 27.
We have given that the diagram of a rhombus
We have to determine the value of the x
What is the angle of the rhombus?The angle is sitting on a right angle because rhombuses have 4 right angles
90 = 4x-18
108 = 4x
x = 27
Therefore the value of the x is 27.
To learn more about the rhombus visit:
https://brainly.com/question/20627264
#SPJ1
Answer: It's 14, not 27.
Step-by-step explanation:
Given m||n, find the value of x and y
Answer:
x=20,y=34
Step-by-step explanation:
x+14=2x-6 (vertically opposite angles)
x-2x = -6-14
-x = -20
x=20
x+14=y (corresponding angles)
20+14=y
y=34
Answer:
x = 20, y = 34
Step-by-step explanation:
(2x - 6) and (x + 14) are vertical angles and are congruent, then
2x - 6 = x + 14 ( subtract x from both sides )
x - 6 = 14 ( add 6 to both sides )
x = 20
Then
2x - 6 = 2(20) - 6 = 40 - 6 = 34
y and (2x - 6) are alternate angles and are congruent , so
y = 34
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
Answer:
7/8
Step-by-step explanation:
Solve the problem correctly and show ur work
1 . 3/5 ( 15x + 30 )
Answer:
9(x + 2)
Step-by-step explanation:
3/5(x+30)
multiply fractions
3(15x + 30)/5
factor 3(15x + 30) = 45(x + 2)
divide the numbers
45(x + 2)/5
45/5=9
= 9(x + 2)
Answer:
9x + 18
Step-by-step explanation:
[tex]\frac{3}{5} ( 15x + 30 )[/tex]
9x + 18
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients
Answer:
Co-efficients
Step-by-step explanation:
there is a number and variable.
Congruent angle pairs : find value of x and the value of y
please I need this question fast please
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Berapakah hasil dari
Dua belas di kali dua?
Answer:
24Step-by-step explanation:
[tex] = > 12 \times 2[/tex]
[tex] = 24[/tex]
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
Which is not a benefit of direct deposit?
A.
You can plan when you are paying bills.
B.
You can avoid having a hold placed on when funds are available.
C.
The money is available as soon as your employer makes the transfer.
D.
You do not need to drive to the bank to make a deposit.
Answer:
Its B. You can avoid having a hold placed on when your funds are available
Step-by-step explanation:
I just got it right rn.
The cuboid and the triangular prism have the same volume. Find the value of x.
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
Continue the number pattern for the next three terms 1,8,27.....,........,..........
Answer:
64, 125, 216
Step-by-step explanation:
1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:
1 = 1³ = 1×1×1
8 = 2³
27 = 3³
Therefore, the next three-term numbers of the given sequence are:
64 = 4³
125 = 5³ and
216 = 6³
Therefore, the final sequence will look like this:
1, 8, 27, 64, 125, 216
Is the following shape a rectangle? How do you know?
if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Solution :
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.
The graph below shows the solution to which system of inequalities?
Answer:
A
Step-by-step explanation:
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.
Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d
x b.
7d + 125
x c. fraction numerator 125 over denominator 7 d end fraction
x d.
7d
Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
Given the following data;
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
[tex] 125 - 7d [/tex]
If a +b+c=9 and a square +b square +square =1 then ab+bc+ca
Answer:
ab + bc + ca = 40
Step-by-step explanation:
Using the expansion identity
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is
9² = 1 + 2(ab + bc + ca)
81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides
80 = 2(ab + bc + ca) ← divide both sides by 2
40 = ab + bc + ca
pls solve quickly !!
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
