Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
Which of the following is an even function?
The one you put is actually correct
Which table represents a linear function that has a slope of 5 and a y-intercept of 20?
Answer:
[tex]y = 5x + 20[/tex]
Step-by-step explanation:
Given
[tex]m = 5[/tex] -- slope
[tex]c = 20[/tex] --- y intercept
Required
The table
No options are given. So, I will just work on the equation.
The linear equation of a function from the slope and the y intercept is:
[tex]y = mx + c\\[/tex]
Substitute values for m and c
[tex]y = 5x + 20[/tex]
Can someone please help with this problem
Answer:
f(x)=-3(x+2)^2-2
Step-by-step explanation: the the FX graph the -3 in my equation represents the decrease(for being negative) in the graph, the positive 2 represents the x axis if that number is positive the negative 3 is going to change the x axis then will end up being negative which is why the x starts off in negative 2, the last number represents the y axis if the y axis is negative 2 the y will start off at -2
According to Class 8 please solve
Answer:
a) Rs 22
b) 4 liter
hope it helps
Answer:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
Step-by-step explanation:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
11/2 litre = 5.5 litre
RS 121/2 = 60.5
5.5 litre milk = Rs 60.5
(i) 1 lire milk = 60.5/5.5 = 11
(i) 1 litre milk rate is Rs 11
(ii) 1 litre = Rs 11 , Rs 88 = 88/11 litre , 8 litre
(i) part answer = Rs 11
(ii) part Answer = 8 litre milk
convert 0.25151 to a fraction
Answer:
25151/100000
Step-by-step explanation:
Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Michelle did a survey in four butterfly parks and wrote the following observations:
Answer:
A. 55%
Step-by-step explanation:
First we should make these into fractions
A. 33/60
B. 36/78
C. 40/89
D. 24/59
these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55% B. 36/78 is 46% . C. 40/89 is 44% D. 24/59 is about 40%
I also remember doing this on a quiz!!
Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....
Answer:
the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........
0,1,2,3.... is a whole number
1,2,3,4.......is a natural number
so I have 40 dollars and i am buying 10$ gift card so how many 10$ gifts cards can I buy?
Answer:
4 gift card
Step-by-step explanation:
40 dollar /gift card price 10
=4
Answer:
4 dollar gift card
Step-by-step explanation:
40÷10=4
4 dollar gift card
In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?
This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.
If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
A quadrilateral is inscribed insider a circle with centre p.
ABCD is a quadrilateral
We have to find the value of x.
As we know that the sum of the opposite side measures is 180 degrees.
m∠A + m∠C = 180
x + 130 =180
Subtract 130 from both sides
x = 180-130
x= 50 degrees.
Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
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For some integer m, every odd integer is of the form a) m b) m + 1 c) 2m d) 2m + 1
Answer:
d) 2m+1
Step-by-step explanation:
for example:
m be 2 then. 2×2+1=5
m be 3 then. 2×3+1=7
Solve |x +6| – 7 = 8.
Answer:
[tex](x + 6) - 7 = 8[/tex]
[tex]x + 6 - 7 = 8[/tex]
[tex]x - 1 = 8[/tex]
[tex]x = 8 + 1[/tex]
[tex]x = 9[/tex]
Find the measurement of ∠D and ∠C
Answer:
∠D = 125° and ∠C = 55°
Step-by-step explanation:
We should first solve for variable x, which should give us angle C, and then solve for angle D.
[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°Thus ∠C = 55°
Knowing that supplementary angles add to 180°, we set up the equation:
[tex]55+D=180[/tex][tex]D=125[/tex]°Thus ∠D = 125°
Please help me out here
Answer:
vbw-kafw-hxy p.l.e.a.s.e join
Answer:
146 cm²
Step-by-step explanation:
The net is composed of 3 sets of congruent rectangles
top/ bottom + front/ back + sides
SA = 2(9 × 5) + 2(9 × 2) + 2(5 × 2)
= 2(45) + 2(18) + 2(10)
= 90 + 36 + 20
= 146 cm²
8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
Hello,
If center is (0,0)
x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b
Here
a=2 ==> a²=4
b=8 ==> b²=64
[tex]\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\[/tex]
4x+7=15x-1-3x
Solve for x plss
Answer: x=1
Step-by-step explanation:
4x-12x=-1-7
-8x=-8
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
At her gym, Ximena spends 30 minutes on each
aerobic workout and 20 minutes on each
weight-lifting workout. Last week, Ximena spent
between 190 and 230
minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
28o
Step-by-step explanation:
Math the following measurements
Answer:
UI=45
AQ=115
QZI=175
QYU=65
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
Please decide !!!!!!
identify the unit rate shown in the graph
Choices:
A. 1/3 mile per hour
B. 3 hours per mile
C. 3 miles per hour
D. 4 miles per hour
The answer is C or 3 miles per hour
how is it 3?:
there is a point at 6 and another at 3 all we do is 6 - 3 = 3
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Solve for x: 5x - 3 = 10
Answer:
5x - 3 = 10
5x = 13
x = 13 / 5
x = 2.6
Step-by-step explanation:
<> 5x = 10 + 3
<> 5x = 13
<> 5x ÷ 5 = 13 ÷ 5
<> x = 2.6
If f(x)=3x^(2)+1 and G(x)=2x-3 what would f(f(x))
Answer:
f(f(x)) = 27[tex]x^{4}[/tex] + 18x² + 4
Step-by-step explanation:
To find f(f(x)) substitute x = f(x) into f(x) , that is
f(3x² + 1)
= 3(3x² + 1)² + 1 ← expand parenthesis using FOIL
= 3(9[tex]x^{4}[/tex] + 6x² + 1) + 1 ← distribute parenthesis by 3
= 27[tex]x^{4}[/tex] + 18x² + 3 + 1 ← collect like terms
= 27[tex]x^{4}[/tex] + 18x² + 4
Hello,
[tex](fof)(x)=f(f(x))\\\\=3(3x^2+1)^2+1\\\\=3(9x^4+6x^2+1)+1\\\\\boxed{=27x^4+18x^2+4}[/tex]
Write a expression to represent each situation
Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.
Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each
Which of the following expressions is equal to - x^2 - 36 ?
O A. (-x-6)(x-61)
B. (x +61)(x-6)
C. (-x+6)(x-61)
D. (-X-61)(x+61)
Answer:
I think the answer is option C
Solve the equation and enter the value of x below. 5 + 10(x-10) = -15
Answer: x = 9.
Step-by-step explanation: Plug in 9 as x.
5+10(9-10) = -15
= 15(-1)
= -15
Hence, x = 9.
Finish solving the system of equations.
x – 5y = 6
–x + 2y = –3
–3y = 3
What is the value of y?
Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?
Answers: x = 1 and y = -1
Explanation:
Start where your teacher left off, which is -3y = 3.
We solve for y by dividing both sides by -3
That turns -3y = 3 into y = -1
Then we use this y value to find x
x - 5y = 6
x - 5(-1) = 6
x + 5 = 6
x = 6-5
x = 1
The solution is (x,y) = (1, -1)
Answer:
-1,1
Step-by-step explanation:
help and I'll follow you
Answer:
12 nickels and 9 dimes
Step-by-step explanation:
1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)
2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/
=> 0.05n + 0.10(21 - n) = 1.50
=> 0.05n + 2.1 - 0.1n = 1.5
=> -0.05n = -0.6
=> n = 12
Nevertheless, d = 21 - n = 21 - 12 = 9
