Answers
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[tex]f(x) = - 5 {x}^{2} + 10x + 8[/tex]
[tex]0 = - 5 {x}^{2} + 10x + 8[/tex]
[tex] - 5 {x}^{2} + 10x + 8 = 0[/tex]
[tex]delta = {10}^{2} - 4( - 5)(8)[/tex]
[tex]delta = 100 + 160[/tex]
[tex]delta = 260[/tex]
[tex]x = \frac{ - (10) + \sqrt{delta} }{2 \times ( - 5)} \\ [/tex]
[tex]x = \frac{ - 10 + \sqrt{260} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 10 + 2 \sqrt{65} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]
And
[tex]x = \frac{ - 10 - \sqrt{delta} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 10 - 2 \sqrt{65} }{ - 10} \\ [/tex]
[tex]x = \frac{ 5 + \sqrt{65} }{5} \\ [/tex]
______________________________________
Thus list the zeroes of the function is :
[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]
And
[tex]x = \frac{5 + \sqrt{65} }{5} \\ [/tex]
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Related Questions
how to find the area of a circle with the diameter of 30
Answers
r = 30/2 = 15
A = pi(15^2)
A = pi(225) or
A = 3.14(225) = 706.5
Help me please........
Answers
Answer:
(7, -1)
Step-by-step explanation:
Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.
I’m doing triangles basically finding the sun of the sides
Answers
Answer:
funn what funn
Step-by-step explanation:
you soposde to be ban
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answers
Answer:
Step-by-step explanation:
We start at (-7, 7). A translation of 1 unit to the right results in (-6, 7). A translation down from there results in (-6, 4). This is the desired image point.
PLS help me
if you get it right i will give brainliest
Answers
Given:
In a right angle triangle,
Perpendicular = 8 units
Base = x units
Hypotenuse = 17 units
To find:
The exact value of x.
Solution:
The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
[tex](17)^2=(x)^2+(8)^2[/tex]
[tex]289=x^2+64[/tex]
[tex]289-64=x^2[/tex]
[tex]225=x^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{225}=x[/tex]
[tex]\pm 15=x[/tex]
Side cannot be negative. So, [tex]x=15[/tex].
Therefore, the required value is [tex]x=15[/tex] and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).
The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answers
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
Can you PLEASE help with this as SOON as you can. I will give BRAINLIEST!!!
Answers
Answer: 2(7c^2+y)
Step-by-step explanation:
Given g(x) = -5x + 5, solve for 2 when g(x) = -10
Answers
Answer:
Set up the composite function and evaluate.
g(−5x+5)=25x−20
Step-by-step explanation:
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation !
Answers
Answer:
The answer is indeed 1.
Step-by-step explanation:
You are going to plug in the y values, and then plug in the choices for x to see which makes the statement true.
[tex]x + y = 6 - x \\ x + 4 = 6 - x \\ \\ (4) + 4 = 6 - (4) \: is \: 8 = 2\: \: \: |no| \\ \\ (2) + 4 = 6 - (2) \: is \: 6 = 4 \: \: \: |no| \\ \\ (3) + 4 = 6 - (3) \: is \: 7 = 3 \: \: \: |no| \\ \\ (1) + 4 = 6 - (1) \: is \: 5 = 5 \: \: \: |yes| [/tex]
What’s the GCF of (45x power of 2) y, and (54xy power of 2)
Answers
Answer:
[tex]9xy[/tex]
Step-by-step explanation:
I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].
[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]
The GCF is [tex]3^2 \times x \times y = 9xy[/tex].
Which expression shows another way to write 36+16?
419) + 4
4(9+4)
6(6+8)
(6+4)(6+4)
Answers
9+4=13 , 13x4=52
A salesperson at a jeweraly store that earns 7% commission each week last week Jared sold $680 worth of jewelry how much did he make in commission how much did the jewelry store make from his sales
Answers
Given :
A salesperson at a jewelry store that earns 7% commission each week last week Jared sold $680 worth of jewelry.
To Find :
How much did he make in commission.
Solution :
Let, commission he make is C.
So, C is 7% of $680 .
[tex]C = \dfrac{680\times 7}{100}\\\\C = \$ 47.6[/tex]
Therefore, salesperson will make $47.6 commission.
301,251,769 to the nearest ten thousand
Answers
Answer:
301,250,000
I'm pretty sure that's it.
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answers
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on the
meal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answers
20% of $63 is $12.6
And 6.5% of $63 is $4.09
$4.09+$12.6+$63=$79.69
Need help please will give brainliest
Answers
Answer:
x = 60
Step-by-step explanation:
The formula for this kind of question is
Area of sector = x / 360 * pi * r^2 = 24*pi
x/360 * pi * 12^2 = 24 pi
x/360 * pi * 144 = 24 pi the pi s cancel out
x / 360 = 24/144 Multiply both sides by 360
x = 24 * 360/144
x = 60
z=2 = 27
_____ __
4 12
Answers
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
On a number line suppose point E has a coordinate of -1 and EG=12 what are the possible coordinates of point G? The possible coordinates for G are__.
Answers
Step-by-step explanation:
We have |E - G| = 12.
=> E - G = 12 or E - G = -12
=> (-1) - G = 12 or (-1) - G = -12
=> G = -13 or G = 11.
Coordonates of G could be -13 or 11.
Answer:
7,1
Step-by-step explanation:
How do I solve this ?
x - 7 > - 11
Answers
Answer: 77
Step-by-step explanation:
Multiply both sides of the equation by
Simplify both sides of the equation.
x = 77
Answer:
[tex]x - 7 > - 11 \\ x > 7 - 11 \\ \boxed{x > - 4}[/tex]
x>-4 is the right answer.Someone good at math pls help me:)
Answers
Answer:
B) (-2,6)
Step-by-step explanation:
Where do the two lines intersect? That is where the solution is.
Hope this helps
Answer:
I believe the answer B ( I think)
PLEASE HELPPPP
ITS EASY MY BRAIN JUST HURTS
Answers
500minute
Step-by-step explanation:
if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes
The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.
Answers
Answer: 17 seconds
Step-by-step explanation:
Here's the complete question:
The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?
First, we find the constant of proportionality which will be:
y = kx
where y = Distance; x = time
264 = 11k
k = 264/11
k = 24
The time in seconds the toy robot moves when the total distance is 408 centimeters will be:
y = kx
408 = 24x
x = 408/24
x = 17
Answer:
17 secs
Step-by-step explanation:
Find the values of x any y. Write your answers in simplest form.
Answers
Step-by-step explanation:
using trignometry,
tan 60 = 3√3/x=√3
→x=3
cos 30 =3√3/y=√3/2
→y=6
The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?
Answers
Step-by-step explanation:
Price increase = $80 - $52 = $28.
Percentage increase = ($28/$52) * 100%
= 53.8% = 54%. (nearest percent)
Answer:
53%
Step-by-step explanation:
Dont know how to do it
Answers
Answer:
multiply them.
Step-by-step explanation:
9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.
Answers
Answer: the x should be next to the 107 instead of the 89
Step-by-step explanation:
A rock climber begins climbing at an altitude of 120 meters. She climbs at a rate of 50 meters per hour. Which equation can be used to find the altitude of the rock climber, y, after x hours?
Answers
Answer:
y=50x+120
Step-by-step explanation:
y is the ending altitude
x is the number of hours the climber has climbed
put 50 before x because that how fast the climber is climbing
then 120 is your y intercept
Find the measure of
Answers
Answer:
50 degrease
Step-by-step explanation:
90-40
If the point is reflected across the yaxis what is the location of the new point?
Answers
Answer:
That would be B. (2,-5)
Step-by-step explanation:
If it's reflected across the Y axis then only the second number will change
But it depends on what the number is
Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?
Answers
Answer:
x + y = 64
x = 10 + y
Yo-yo = 27
Xylophone = 37
Step-by-step explanation:
Let :
Xylophone club = x
Yo - Yo club = y
Total members = 64
Xylophone club has 10 more members than yoyo
Hence,
x + y = 64 - - (1)
x = 10 + y - - (2)
Put x = 10 + y in (1)
10 + y + y = 64
10 + 2y = 64
2y = 64 - 10
2y = 54
y = 54 / 2
y = 27
From (1)
x + 27 = 64
x = 64 - 27
x = 37
