Answers
Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
Related Questions
Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?
Answers
Explanation:
Area = Length x Width
Area = 3.6m x 7.77m
Area = 27.97 m^2
EXAMPLE 4
If m.25 = 82, find each measure.
a. M21 -
e. m.26
LM210
b.m.22
1. m.27
J. 211
1/7 2/6 319
10
11 6/12
c.m.3
9. M.28
km212 =
d. 24
hm.29
EXAMPLE 5
Ifm.212 121° and m.2675°, find each measure.
a.m21
e. m.25
Lm.210
b. m.22
t.m.27
Jm211
70
10
13 14
11/12
c.m.3
km.213
g. 28
d.m24
hm.29
L214 =
EXAMPLE
Ifm.27 - 38° and m210 = 102, find each measure.
a. mZ1 =
..MZ6
km213
10
b. m.22
g.M.ZB
Lm.214 =
c.m.23
h. m29
m.m415
13 14
16
d.m24
I. m211 =
n. 216
e. m.25
J. M212=
I m.22 41, m.2594, and m.210 = 109, find each measure,
EXAMPLE 7
a. mZ1 =
d. m.26
9. m29
b.MZ3 =
c.m.27 -
c. m.24
1. M.Z8 =
Answers
Answer:
thank You for your points rhis is the answer kf
please help me with this work
Answers
Answer:
Here is question number one's perimeter and area.
The points you are giving are really low so I will just do one
Angle A and B are complementary
m∠A= (x - 4)°
m∠B= (2x + 7)°
Can you solve this for me please!!
Answers
Answer:
Step-by-step explanation:
x-4+2x+7=90
3x+3=90
-3 -3
3x=87
x=29
m<A= 29-4
=25
m<B=2(29)+7
=58+7
=65
guys pls help me!!!!!
Answers
Hope this helps :)
Tell me if I’m wrong
Help pls the photo is up
Answers
Answer:
here it is plz mark me as brainliest
Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=
Answers
1) 0.2
2) 5
Check the image below
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answers
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
explain step by step please and thanks
Answers
Answer:
B
Step-by-step explanation:
5(h)=w+8. get rid of 5 by multiply
5h=w+8
w=5h-8
Find the percent decrease. Round to the nearest percent.
From 99°F to 72°F
Answers
Answer:
Step-by-step explanation:
71.28
Based on What you learned about economics of organic produce, explain why buying organic food is so expensive
Answers
Answer:(:
Step-by-step explanation:
Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.
Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle
Answers
Answer:
parallelogram
hexagon
octagon
rectangle
Step-by-step explanation:
Answer:
parallelogram
hexagon
octagon
rectangle
Please answer my question and give me the explanation clearly.I will give you more points
Answers
so
6=15
x=12.5
we need to find x by cross multipliying
so 15(x)
6(12.5)
so we get
15x= 75
now we divide 15
x= 75/15
x= 5 should be the answer
i hope it’s right
have any questions ask pls
have a great day :)
The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?
a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm
Answers
Answer:
12cm
Step-by-step explanation:
h = 2b + 4
Area = 168 cm²
b = ?
Area = b*h / 2
168 = b (2b + 4) / 2
168 = 2b² + 4b/ 2
168 = b² + 2b
b² + 2b - 168 = 0
(b + 14) (b - 12) = 0
b = -14
b = 12
The base of a triangle cannot be -ve. So b = 12cm
Solve and graph the solution.
|4x-13| = 5x+4
Answers
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
plzzzzzzzzzzzzzzzzzzz helppppp
Answers
Answer:
15
Step-by-step explanation:
I'm not sure, but find out the coordinates of the two points, and then find the slope between them.
Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)
Answers
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
For the expression -5 + 3.25
The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
Learn more here: https://brainly.com/question/15816805
You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink? *
X + 0.04x + 1.50 > 60
X + 0.04x + 1.50 2 60
X + 0.04x + 1.50 60
X + 0.04x + 1.50 60
Answers
Answer:
X + 0.04x + 1.50 > 60
Step-by-step explanation:
if x 60 and 30 find the unknown sizes of angle
Answers
Answer:
A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any missing part of the triangle. The ratio of the side lengths of a special right triangle with angles of 30, 60, 90 is 1:sqrt(3):2, while the ratio of the side lengths of a special right triangle with angles of 45, 45, 90 is 1:1:sqrt(2).
Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?
0.025
0.0015
0.16
0.475
Answers
==================================================
Explanation:
mu = 65 = population meansigma = 4 = population standard deviationLet's convert x = 53 to its corresponding z score
z = (x-mu)/sigma
z = (53-65)/4
z = -12/4
z = -3
This indicates we're 3 standard deviations below the mean.
Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.
(0.3%)/2 = 0.15%
This then converts to 0.0015 when we move the decimal point 2 spots to the left.
I need help on this 8th grade math this is due tomorrow.
Answers
Answer:
u²=6.25p²=5Step-by-step explanation:
Raise 2.5 to the power of 2 =
6.25
Pull terms out from under the radical, assuming positive real numbers =
5
1 4/5-1/3 divided by 2 2/5
Answers
Answer:
THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL
Step-by-step explanation:
wish you the best! gl!
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?
Answers
The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.
Then the cost of the sales tax will be
→ 0.05 × 480 = $24
Then the amount of the tip will be
→ 0.20 × 480 = $96
Then the total cost of the dinner will be
→ $24 + $96 + $480 = $600
More about the percentage link is given below.
https://brainly.com/question/8011401
(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls
Answers
Answer:
(-0.4)²
= -0.4×-0.4
product of two negative numbers is positive
so, 0.4×0.4
=4/10×4/10
=16/100
=0.16
Hi I need help with this
Answers
Answer:
well this is going to be long, but
1. 0.625
2. -0.136
3. 1.222
4. -5.075
5. -7.455
6. 4.067
7. -9.111
8. -7.833
9. 17/25
10. -1/100
11. -3 99/100
12. 8 149/200
13. 3 1/200
14. -13 3/250
15. -9 49/50
16. -10 113/250
17. your friends snapper is larger, 1320/156 > 1313/156
18. 0.13 > 1/8
19. -1 2/9 < 5/4
20. -5.175 < -5 1/6
21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....
Step-by-step explanation:
sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day
At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
Answers
Answer:
the answer will be 14708
Answer:
14708
Step-by-step explanation:
Apply the formula:
Amount at time t in years =
(Starting amount)(1 + yearly per cent increase)^(Number of years) =
(13,000)(1 + 2.5%)^5 =
13000(1.025)^5 =
14708.3067676 =
14708, to the nearest whole number.
The johnsons's back yard is 3/8 of am arce.They planted a vegtable garden on 1/3 of the yard.How big is the garden?
Pls help;
Answers
Answer:
1/8 of an acre
Step-by-step explanation:
Please help with showing the points in the table
Answers
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
Select all the statements that best describe the table below.
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct statements are :
The rate of change is not constantThe relationship is non linear Independent variable is Age Dependent variable is selling price It is a negative relationship"Unless [the three branches] be so far connected and blended
as to give to each a constitutional control over the others, the
degree of separation ... essential to a free government, can
never in practice be duly maintained." James Madison, Federalist
48
Which principle best describes what Madison is explaining?
А
checks and balances
B
popular sovereignty
С
rule of law