Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Round to 4,725.806
Answer the question
Answer:
Step-by-step explanation:
Your question is incomplete. Are you rounding to the nearest 100? nearest 100,000?
4725806 to the nearest thousand is 4725800.
4725806 to the nearest unit is 4725806.
to the nerest ten is 4725810.
7x +6 = 17x
X=____________
Answer:
[tex]\boxed { x = \frac{3}{5}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7x + 6 = 17x[/tex]
-Take [tex]17x[/tex] and subtract it from [tex]7x[/tex]:
[tex]7x + 6 - 17x = 17x - 17x[/tex]
[tex]-10x + 6 = 0[/tex]
-Subtract [tex]6[/tex] to both sides:
[tex]-10x + 6 - 6 = 0 - 6[/tex]
[tex]-10x = -6[/tex]
-Divide both sides by [tex]-10[/tex]:
[tex]\frac{-10x}{-10} = \frac{-6}{-10}[/tex]
[tex]\boxed { x = \frac{3}{5}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Answer:
coooooooooooooooool
Step-by-step explanation:
what is the answer to this
12b−15>21
Answer:
b > 3
Step-by-step explanation:
[tex]12b-15>21\\\\12b-15+15>21+15\\\\12b>36\\\\\frac{12b>36}{12}\\\\\boxed{b>3}[/tex]
Hope this helps.
Solve for a.
1. all real numbers
2. -1
3. 0
4. no solution
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
Can someone please help me ASAP!!
Answer:
[tex]\huge\boxed{7\ \text{inches}}[/tex]
Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits are significant. c. Final zeros after the decimal point are significant. d. Zeros used solely for spacing the decimal point are not significant.
Answer:
All non zero digits count in significant digits.
(a) is correct option.
Step-by-step explanation:
Given that,
1.4 has 2 significant digits.
We know that,
Significant digits :
All non zero digits count in significant digits.
All zero which is present in between two significant digits it is also significant.
Leading zero is not count as significant.
Trailing zero is count as significant.
We need to find 1.4 has 2 significant digits as a result of which rule
Using given rules
1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.
Hence, All non zero digits count in significant digits.
(a) is correct option.
is -3 a solution to the equation 3x-5=4+2x explain PLZ HELP!
Answer:
No, the answer is 9Step-by-step explanation:
Solve equation
3x - 5 = 4 + 2x3x - 5 - 2x + 5 = 4 + 2x - 2x + 5x = 9Members of the theater club sold tickets for the spring
musical. On Friday night, they made $125 in presales a
sold 120 tickets at the door. For the Saturday night sho
they earned $180 in presales and sold 110 tickets at the
door, If the theater club earned the same amount each
night, what is t, the cost per ticket?
Answer:
C. 125 + 120x = 180 + 110x
t = $5.5
Step-by-step explanation:
A.125t + 120 = 180t + 110
B. 120t + 110t = 125 + 180
C. 125 + 120t = 180 + 110t
D. 125 - 120t = 180 - 110t
Friday
$125 + 120t
Saturday
110t + 180
equate Friday and Saturday
125 + 120t = 110t + 180
Collect like terms
125 - 180 = 110t - 120t
-55 = -10t
Divide both sides by -10
t = -55 / -10
= 5.5
t = $5.5
What is the slope of the following equation? -3y - x= 0
Answer:
-1/3
Step-by-step explanation:
Add x to both sides and then divide both sides by -3. The slope is the number next to the x value which is -1/3
THERE'S TOO MUCH CATFISHES ON THIS SITE
Answer:
what do you mean by that?
Step-by-step explanation:
can some help me please
Answer:
C
Step-by-step explanation:
A culture of bacteria triples by the end of each hour, if there were initially 40 bacteria, how many bacteria should there be after 8 hours?
Answer:
262, 440
Step-by-step explanation:
40 x 3^8
40 x 6561
262, 440
Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length of fending Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
v
Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula
P = 2(L) + 2(W)
Total Length of the garden =
=
Length = 18.5 feet
Total width of the garden =
=
Width = 9.0 feet
Perimeter of the garden = 18.5 + 9 = 27.5 feet
Mark wants to fence 4 garden
Therefore, 27.5 × 4 = 110 feet.
Mark needs 110 ft. fencing to surround all 4 gardens.
Answer:
4 1/2 +1 1/2= 5 1/2
Step-by-step explanation
Another one woopie its the ss
Answer:
a: 24km
b: 4.8 in
Step-by-step explanation:
PLS HELP ME! Convert the following graph into a table.
Step-by-step explanation:
(3,3)(2,1)(1,3)(0,3)Or the other way around
(0,3)
(1,3)
(2,1)
(3,3)
by the way this is a function because all the outputs have one input. Nothing is being shared.
16. What will be the midpoint of AB with A= (-3,-8) and B = (-9,-8)
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 6t + 4. Round your answer to the nearest hundredth.
0.72
0.65
0.35
0.27
Given:
The height of ball is represented by the equation is
[tex]h=-16t^2+6t+4[/tex]
To find:
The time taken by ball to hit the ground.
Solution:
First we need to find the zeroes of the given equation. So, for zeroes h=0.
[tex]-16t^2+6t+4=0[/tex]
Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]
[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]
[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]
[tex]t=0.7215,-0.3465[/tex]
Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is
[tex]t=0.7215-0[/tex]
[tex]t=0.7215[/tex]
Round your answer to the nearest hundredth.
[tex]t\approx 0.72[/tex]
So, the ball will hit the ground after 0.72 seconds.
Therefore, the correct option is A.
Answer:
0.72
Step-by-step explanation:
I took the quiz
by completing the square
1. x2 + 5x + 6= 0
cing
Answer:
x=-3 and x=-2
Step-by-step explanation:
I wrote the math down
Factor 9r2 – 36r – 45.
Answer:
9(r - 5)(r - 1)
Step-by-step explanation:
9r^2 - 36r - 45
First, factor out 9
9(r^2 - 4r - 5)
Then you can factor what's inside the parentheses
9(r - 5)(r -1 )
Help....................
Answer:
i think its 61
srry if u get wrong
Step-by-step explanation:
A coffee shop sold 72 large cups of coffee on Monday. Each large cup of coffee cost $4.35.
What was total cost of the large cups of coffee sold by the coffee shop on Monday?
Answer:
314 large cups
Step-by-step explanation:
72x4.35=313.2
Answer:
The total amount of Large coffee cups sold should equal to 313.2
Step-by-step explanation:
4.35 x 72 = 313.2
Which one is a better buy A. a bag of 6 oranges for $5.88 or a bag of 10 oranges for $9.20 Show and explain why.
Answer:
a bag of 10 oranges for $9.20
Step-by-step explanation:
5.88 divided by 6= 0.98 and 9.20 divided by 10=0.92 so $0.92 per orange is cheaper than $0.98 per orange.
Solve and Check for Extraneous solutions
10) VX + 4 = x - 8
Answer:
x=XV+12
Step-by-step explanation:
what is 4/6 + 4/8 with unlike denominators
Answer:
7/6 or 1.17
Step-by-step explanation:
i made them have a common denominator of 24 and simplified.
hope this is right and helps! :)
What is the image point of (0, - 7) after a translation right 3 units and up 4 units?
Answer:
Hi there
Your answer is
( 3,8 )
Step-by-step explanation:
3 units right means to add 3
4 units up means to add 4
(0+3, 4+4)
Answer:
(3,-3)
Step-by-step explanation:
you first add 3 to zero as your are going right on the x scale. then you subtract 4 since you are going up on the y scale.
PLEASE HELP!!! I AM BEING TIMED!
which of the following are Pythagorean triples?
If the direct variation equation representing the proportional relationship y=5x contains the data set of (8, ?). What would the y value be?
Answer:
y=40
Step-by-step explanation:
Plug in the 8 for the value of x so 5×8=40
f(x)=x+6 when x= -2, 0, and 5.
f(-2)=__
f(0)=__
f(5)=__
^ I have no idea how to solve this and if your supposed to sub the values into both x's or just one. please help!
Answer:
5
Step-by-step explanation:
A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry? Write as an inequality.
Answer:
28 boxes maximumStep-by-step explanation:
Given
Capacity of a boat = 1000 poundsEquipment = 300 poundsBoxes = 25 pounds eachNumber of boxes = xRequired inequality
300 + 25x ≤ 100025x ≤ 700x ≤ 700/25x ≤ 28 boxesDavid made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in which 1 inch represents 10 feet. What is the height in inches of David's model?
Answer:
6.7 inches
Step-by-step explanation:
the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.