The value of k in the quadratic equation is k = 2
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² + kx - 5/4 = 0 be equation (1)
Now , on simplifying the equation , we get
If 1/2 is the root of given equation, then it will satisfy it.
So , when x = 1/2
( 1/2 )² + k ( 1/2 ) - 5/4 = 0
( 1/4 ) + k/2 - 5/4 = 0
k/2 - 1 = 0
Adding 1 on both sides of the equation , we get
k/2 = 1
Multiply by 2 on both sides of the equation , we get
k = 2
Therefore , the value of k is 2
Hence , the value of k in the equation is 2
To learn more about quadratic equations click :
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Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?
Answer:
Number of weeks= 3.63 weeks
Step-by-step explanation:
First, we need to determine the total amount to be saved:
Difference= 500 - 256
Difference= $254
Now, the number of weeks given the following formula:
Number of weeks= amount to be saved / savings per week
Number of weeks= 254 / 70
Number of weeks= 3.63 weeks
What is the correct answer to this
Answer:
Perimeter = 9700 cm
Step-by-step explanation:
Dimensions of sides are;
12, 2x, 12, 5, 5, circumference of semi circle
Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14
We see that x is the diameter. Thus, x = 14
Thus; base of trapezium that is 2x = 2 × 14 = 28
Also, circumference of semi circle = 2πr = 2π × 7 = 44
Thus;
Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44
Perimeter = 97 m
Converting to cm, we multiply by 100 to get;
Perimeter = 97 × 100 cm
Perimeter = 9700 cm
Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?
Answer:
288 ft³
Step-by-step explanation:
Given that
The volume of each box is 1 cubic foot
And, Hollies required 8 of these layers
Now based on the above information
We assume that the dimension of the base layer is 6 by 6
So, the volume of the container is
= Length × Width × Height
where,
Length = 6 ft
Width = 6 ft
And, Height = 8 ft
So,
= 6 ft × 6 ft × 8 ft
= 288 ft³
Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5
can someone help me this is a life or death question
Answer:
3 is vertical angles
1 is same side interior
2 is corresponding angles
4 is straight angles
Step-by-step explanation:
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
Find two consecutive odd numbers whose sum is 44.
Answer:
21 & 23
Hope that helps!
Step-by-step explanation:
How do I show my work for this and get the answer? Thanksss
Answer:
the answer for this problem is 135
A cone has a volume of 18 in3. Select all of the possible dimensions for the cone.
Diameter 1 in., height 18 in.
Diameter 6 in., height 6 in.
Diameter 3 in., height 6 in.
Diameter 6 in., height 3 in.
Diameter 3 in., height 24 in.
Answer: with these values I don't find any of cones
Step-by-step explanation: volume is 1/3 x pi x r^2 x h
And radius r = diameter/2. Is you round pi/3 =1 it's easier.
Possible measures: d=2 and h=18
D= 4 and h= 4.5 or d= 6 and h=2
An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?
Answer:
$8608.92
Step-by-step explanation:
Given data
Annual income= $143,482
Rate= 6%
We want to find 6% of $143,482
=6/100*143482
=0.06*143482
=$8608.92
Hence the income tax is
$8608.92
The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?
Answer:
4
Step-by-step explanation:
If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175What is the length of point AC
the length of point AC is 13.67cm
Find x. Please help with this problem!!!!!
Solve by factoring.
m^2+6m+5=0
Answer:
-1 and -5
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
Moreover, the value of m by factoring is -1 and -5
Answer:
[tex]\sf m=-1,-5[/tex]Step-by-step explanation:
[tex]\sf m^2+6m+5=0[/tex]
Factor, m^2+6m+5
Find, the two numbers that add up to 6 and multiply to 5: 1 and 5
Now, Rewrite the expression:
[tex]\sf (m+1)(m+5)[/tex]
[tex]\sf (m+1)(m+5)=0[/tex]
Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.
[tex]\sf m+1=0[/tex]
[tex]\sf m+5=0[/tex]
Now, solve each of the 2 equations:
[tex]\sf m+1=0[/tex]
Subtract 11 from both sides:
[tex]\sf m=-1[/tex][tex]\sf m+5=0[/tex]
Subtract 5 from both sides:
[tex]\sf m=-5[/tex][tex]\sf m=-1,-5[/tex]
________________________________________
what is the domain of f?
HELP PLEASE
Answer:
-7 to 7
Step-by-step explanation:
it is the range of the x values
Noah spent $66 for 20 gallons of gasoline. Lydia spent $81.25 for 25 gallons of gasoline. How much did each person spend for 1 gallon of gasoline?
Answer:
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $3.25 for 1 gallon of gasoline.
Step-by-step explanation:
To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.
Noah spent $66 for 20 gallons of gasoline.
Amount spent $66, 20 gallons. So
66/20 = $3.3
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $81.25 for 25 gallons of gasoline.
Amount spent $81.25, 25 gallons. So
81.25/25 = $3.25
Lydia spent $3.25 for 1 gallon of gasoline.
Probability of rolling a factor of 4 on the first die
Answer:
should be like 1 out of 6 chances
Step-by-step explanation:
3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%
If the force is 2500N and the acceleration is 500m/s/s, calculate the mass
Answer:
5kg
Step-by-step explanation:
Here the given force is 2500N and
acceleration is 500m/s²
Now,
F = ma
m = F/a = 2500/500 = 5kg
Thus, The mass is 5kg
-TheUnknownScientist
I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet
What do you know about the angles of a right triangle?
A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse
Answer:
B
Step-by-step explanation:
Answer:
B only one angle is a right angle and the other two are acute
Step-by-step explanation:
its clear from looking at an angle lol
L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?
Answer:
xjxjxjzjzjxxjxjxjxjx
Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship
Answer:
y = x + 11
Step-by-step explanation:
x = Number of donuts Dave sells
y = Total amount of donuts Alex sells
Amount earned by Alex = $11 more than Dave's earning
This means y is greater than x by $11
Total amount of donuts Alex sells = Number of donuts Dave sells + $11
y = x + 11
The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Answer:
(1,2) is your vertex and (2,3) is your second point
Step-by-step explanation:
Answer:
(0,-1) and (-1,-2)
Step-by-step explanation:
i got it right on the quiz
A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).
Answer:
creo que si
Step-by-step explanation:
primero hacemos lo primero
y luego lo segundo
Help me please! I need this done quick!
Answer:
1. 15
2. 26
3. [tex]\sqrt{58[/tex]
4. 8
5. 6[tex]\sqrt{15[/tex]
6. [tex]\sqrt{2[/tex]
7. [tex]\sqrt{377[/tex]
8. 18
9. x = [tex]\sqrt{106[/tex]
y = [tex]\sqrt{34[/tex]
Step-by-step explanation:
IM TIRED DO I HAVE TO EXPLAIN?
which is proportion can be used to be determine to length of bc
Answer:
4/5=bc/8
Step-by-step explanation:
insaley easy 4th grade homework math question i will mark brainliest
Answer:
first answer 20
Second answer 1/2
For the last on I think it’s 1/4
Step-by-step explanation:
Lol Sorry if I’m wrong
Answer:
1. 5 1/4 or 5.25 or 21/4
2. 1/2
3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75
Step-by-step explanation:
What is 127% of 40????
Answer:
50.8
Step-by-step explanation: