Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answers
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
Related Questions
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.
Answers
Answer:
The correct option is;
There is a greater percentage of LA residents who own a car than NYC residents who do
Step-by-step explanation:
The values are presented as follows;
LA residents who own a car = 3251
NYC residents who own a car = 1478
Total residents who own a car = 4729
LA residents who do not own a car = 869
NYC residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total LA residents sampled = 4120
Total NYC residents sampled = 7660
Total residents of both cities sampled = 11780
Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%
Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%
The total number of people in the poll who own a car = 4729
Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.
Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.
question in attachment
Answers
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475
Answers
Answer: 2) 0.275
Step-by-step explanation:
Total households = 160
Watch Cable TV: 109
Watch internet TV: 88
Watch neither: 7
We want to find the number that watch both of them.
Now, the total number of housholds that watch at least one thing is:
160 - 7 = 153.
Now, if we add the number that watch by cable and the number that watch by internet we have:
109 + 88 = 197
The difference is:
197 - 153 = 44
This means that we have 44 households that watch both things.
This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.
Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:
P = 44/160 = 0.275
The correct option is 2
help plz you got to help me
Answers
Answer:
$6.88
Step-by-step explanation:
$5.99(12 months) = $71.88 per year
$71.88 - $65 = $6.88
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answers
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answers
Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
Order the expressions from the least to the greatest
-2, -2.2, 5, 2, 2.2, -5
Answers
Answer:
-5, -2.2, -2, 2, 2.2, 5
Step-by-step explanation:
-5
-2.2
-2
2
2.2
5
Answer:
-5
-2.2
-2
2
2.2
5
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.
Answers
Answer:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.
What is a number line?
The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.
Here given that we have to find the number line which shows -0.8 + 0.6
By checking all the options
Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.
Hence option A is correct.
Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.
Hence Option B is incorrect.
Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6
Hence Option C is incorrect.
Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8
Hence Option D is incorrect.
Therefore the correct option is Option A.
Learn more about the number line
here: https://brainly.com/question/24644930
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a number t decreased by 2 is at least 7
Answers
t - 2 ≥ 7; t ≥ 9
Explanation:
“a number t” = t
“decreased by 2” = - 2
“Is at least 7” = ≥ 7
So, t - 2 ≥ 7
To solve for t - 2 ≥ 7, add 2 to both sides of the equation
t - 2 ≥ 7
t - 2 + 2 ≥ 7 + 2
t ≥ 9
So, t ≥ 9
Please simplify (y^-5)^4
Answers
Answer:1/y^20
Step-by-step explanation:
What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
°ω°
Answers
Answer:
the answer is 14.50 cm
Step-by-step explanation:
i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!
Answer:
D. 14.50 cm
Step-by-step explanation:
solve the inequality 2/w+3>29/w
Answers
Answer:
w<0 or w>9
Step-by-step explanation:
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)
3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
Answer:
Explanation:
2
w
+
3
>
29
w
First take LCM
2
+
3
w
>
29
w
Now you can remove the denominator(LCM) because it is on both sides.
So, we get
2 + 3w > 29
3w > 27
w>9
In this way, we get the answer.
Step-by-step explanation:
Can you guys help and put these in order?
Answers
select the two valuse of x that are roots of this equation. x^2+2x-5=0
Answers
Answer:
1 + sqrt(6)
You can't factor this by itself so you have to use the quadratic formula
Step-by-step explanation:
The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer
Answers
Answer:
28
Step-by-step explanation:
When you put the numbers in order and then cut into 4 equal parts 28 is the first cut
sorry idk if that made sense or not
A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.
Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.
125 feet
125 square feet
1250 feet
1256 square feet
Answers
Answer:1256
Step-by-step explanation:
You need to find the area which is Area=3.14xradiusxradius
So in short hand A=3.14x20x20 which is 1256 feet
Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?
Answers
Answer: $14
Step-by-step explanation:
Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):
700 x (24/100) = $168 (a year)
To obtain the monthly charges, we have to divide the result by the number of months in a year (12):
168 /12 = $14
Feel free to ask for more if needed or if you did not understand something.
Somebody please help me thank
Answers
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
using graphing paper,determine the line described by the given point and slope
click to show the correct graph below (0,6) and -1
Answers
Answer:
-3, -2
count the lines based on the x-axis and y-axis
remember that the x-axis comes before the y-axis
please mark me as brainliest :)
Answer:Answer:
-3, -2
count the lines based on the x-axis and y-axis
remember that the x-axis comes before the y-axis
please mark me as brainliest :)
Step-by-step explanation:
What is the answer for 9+10x=9?
Answers
Answer:
x=0
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
9+10x=9
10x=9-9
10x=0
x=0
Which two representations are considered to be only partial representations?
OThe equation and the verbal description
OThe verbal description and the graph
OThe table and the equation
OThe graph and the table
Answers
Answer:
D) The graph and the table
Step-by-step explanation:
The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.
Answer:
The Graph And The Table
Step-by-step explanation:
Plz help me it’s emergency
Answers
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
help please!!!! Geometry again!!!
Answers
Answer:
Step-by-step explanation:
1. correspording: 2&5, 1&6, 3&8, 4&7
vertical: 2&4, 1&3, 5&7, 6&8
alt interior: 3&6 4&5
alt exterior:2&7 4&5
2. correspording: 1&5, 2&6, 3&7, 4&8
vertical: 2&4, 1&3, 5&7, 6&8
alt interior: 2&8 5&5
alt exterior:1&7 4&6
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answers
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
which equation is correct? 2x+38) - 5x +4 A 7x - 41 B 7x + 41 C 36x - 2
or just write your own
Answers
Answer:
[tex]-3x+42[/tex]
Step-by-step explanation:
[tex](2x+38) - 5x +4[/tex]
[tex]2x+38 - 5x +4[/tex]
[tex]2x+38+ - 5x +4[/tex]
[tex]2x+-5x+38+4[/tex]
[tex]-3x+42[/tex]
How do you write the circumference of the circle in terms on 几
Answers
____________________________________
Hey!!!
The formula to find circumference of circle
=2 pi r
For eg:
Radius=4 cm
Circumference of circle=2 pi r
=2 *pi*4
=8 pi
Hope it helps..
Good luck on your assignment
#Stay safe#
__________________________________
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Mark this and return
Save and Exit
ext
Submit
Answers
Answer:
I think it might be A, B, and E but I am not 100% sure.
Step-by-step explanation:
The figures are rectangular prism, cylinder, and square pyramid.
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.
A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.
A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.
A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.
A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.
A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.
To learn more about volume of prism click :
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please help. I am being timed
Answers
Points from correct answers: 8*10=80
Incorrect answers: 18*5=90
So total points is -10 points
Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answers
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
When the discriminant is 0, there is one real solution.
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
Which is the coefficient in the expression 7x + 14?
Answers
Answer:
coefficient is x
Step-by-step explanation:
please mark as brainliest and follow me !!!!.....
Hope this helps ya