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
What is the slope of the line described by the equation below?
y- 5= -3(x - 17)
O A. -3
B. 3
O c. 5
OD. -5
Hellppp
Answers
Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
Answers
The statement that most adequately recounts the change in the average of the team's no. of points per game would be:
A). The new mean is greater than the previous mean.
Given,
[tex]Mean = 94[/tex]
Now,
The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]
New mean = (sum of observations)/No. of observations
[tex]= 1015/10[/tex]
= [tex]101.5[/tex]
Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.
Thus, option A is the correct answer.
Learn more about "Distribution" here:
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Which phrase describes a model in science?
a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object
Answers
The correct answer is B. A structure that is used to represent a complex system
Explanation:
A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"
Answer:
B. a structure that is used to represent a complex system
Step-by-step explanation:
just did the quiz on ed
Use the drawing tool(s) to form the correct answers on the provided graph.
In the given equation, yis a function of x.
Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Drawing Tools
Click on a tool to begin drawing
(90points)
Answers
Can you please send image clearly ?
Answer:
y = 2/3x + 4
Step-by-step explanation:
find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2
Answers
Domain (-infinity,infinity)
Min(?
max(2,2)
Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answers
Answer: £ 260.78
Step-by-step explanation:
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answers
Answer:
if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316
Step-by-step explanation:
most teachers say but off is thousandths be careful look what it’s asking for exactly
the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y
Answers
Answer:
3.5
Step-by-step explanation:
Given: x-y=0.7
Finding: 5(x-y)
So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
The answer to the expression is 3.5
How to solve the expression?In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.
Given:
x - y = 0.7
Finding: 5(x - y)
So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
What is a math expression example?An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.
Learn more about the expression here: brainly.com/question/723406
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find the area of the shaded part of the figure below
Answers
Answer:
70
Step-by-step explanation:
Answer:
70 cm^2
Step-by-step explanation:
Multiply (20x8)/2 to find the area of the triangle. Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.
From a point P, a boy observe that the angle of elevation of the top of a pole is 45, if the height of the
pole is 15 m, find the distance of P from the foot of the pole.
Please help
Answers
Answer:
15m
Step-by-step explanation:
The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m
Which inequality is true?
5(−2)>10
3(13)<39
11+(−3)<9
5 + 12>18
Answers
Answer: 11 + (-3) < 9 is true.
Step-by-step explanation:
When there is a + in front of an expression in parentheses , the expression remains the same.
11 - 3 < 9
Now subtract.
8 < 9
Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.
Basically I need to find a function based off Inputs & Outputs. (If that makes sense).
Answers
Answer:
Step-by-step explanation:
yes, since that are 2 points:
y-int is (0, y)
x-int is (x, 0)
since you need only two points for a function with no restrictions, we can use y and x intercepts as points
Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.
is this theoretical or experimental
any why?
Answers
Answer:
Experimental
Step-by-step explanation:
It is not a theory he actually tossed the penny
What is the leading coefficient and constant of this problem?
(8
Answers
2/7*3/8>3/8 because 2/7>1
Solve for y: 3y + 6 = -45
Answers
Answer:
Step-by-step explanation:
solution :
y = -17
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*y+6-(-45)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
3y + 51 = 3 • (y + 17)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : y+17 = 0
Subtract 17 from both sides of the equation :
y = -17
solution was found :
y = -17
The volume of this rectangular prism is 6x2. What does the coefficient 6
mean in terms of the problem?
height = x
width = X
length = 6x
o
A. The length of the prism is 6 units.
B. The total volume of the prism is 6 cubic units.
O
C. The length is 6 times the width.
D. The width is 6 times the height and the length.
Answers
Answer:
C
Step-by-step explanation:
The length is 6 times the width.
6 times x is 6x
You are welcome and don't for get to click THANKS
Answer: C
Step-by-step explanation:
PLEASE ANSWER ASAPPP
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answers
Answer:
1, 2, 3, 4
Step-by-step explanation:
1) works 60y+(-60y)=0
2) works(-60y)+60y=0
3)works (-35x)+35x=0
4) works 35x+(-35x)=0
5) doesn't work (-35x)+100x doesn't equal 0
Answer:
1,2,3,4
Step-by-step explanation:
Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:
Answers
Answer:
Look at the underlined numbers
So we have 16 = 16*1
then 64 = 16*4
the difference would be 3
then 144 = 16*9
the difference would be 5
256 = 16*16
the difference would be 7
400 = 16*25
the difference would be 9
so the next one would be 11+25=
3, 5, 7, 9, 11
ANSWER: 16*(11+25) = 36*16 = 576
Step-by-step explanation:
I explained before this
I’m also stuck on this .
Answers
Answer:
It's given that AB = AC and BN = NC. Also, AN = NA because of the reflexive property. So the answer to the blank is congruent. (This is because of the SSS principle.)
Answer:
bardikikinouko is the answer
Step-by-step explanation:
the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft
Answers
Answer:
C. 1839 ft.
Step-by-step explanation:
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft
We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.
If the vertical distance from the bottom to the top of the mountain is 689 feet,
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
What is the ratio of sin?
[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]
Therefore we get,
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft.
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-3x^2+6x+9=
WHY JUST WHY !!!! ?
Answers
Oh, my, goodness!!!!!! :)
You are cracking me up so much right now!!!!! :)
But, yeah, I hear ya! :)
Answer:
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
(x⁵-9x³+7x)+(x³-x⁵-7-x)
Answers
Answer: -8x^3 - x - 7
Answer:
First open parenthesis:
x^5-9x^3+7x+x^3-x^5-7-x
-8x^3+6x-7
[tex]-8x^{3} +6x-7[/tex]Solve |2x + 6|<16
A {x|-11
B {x<-11 or x>5}
C {x|-5
Answers
A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused
Answers
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches each
Step-by-step explanation:
1 foot = 12 inches
1/3 of 12 =4
left over :12 - 4 = 8
8/4 =2
Solve for y: 4y + 4 = -8
Answers
Answer: YOUR ANSWER IS -3
Step-by-step explanation:
4y + 4 = -8
-4 -4
___________
4y = -12
Divide -12 by 4
Y = -3
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answers
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
the points scored per game by a professional basketball player are represented by the box plot below if the player scores 9 points and 35 points in the next two games how is the median of the data set affected
Answers
Answer:
The median points per game is not affected.
Step-by-step explanation:
Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.
The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.
Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.
I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped
Answers
x f(x)
--------
-3 -18
-2 -4
-1 0
0 0
1 2
2 12
3 36
What is the degree of the polynomial represented in the table?
4
5
2
3
Answers
Answer:
I think that the answer is 4
The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?
Answers
Answer:
See picture attached
Step-by-step explanation:
The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:
62: once
63: twice
64: three times
65: twice
66: twice
Those are the numbers of dots you have to put over each height.
