Answers
Answer:
It is E and F
Step-by-step explanation:
A quadratic equation is written in the form of ax²+bx+c. The two values of x that are the roots of the polynomial are E and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of the quadratic equation are found as shown below,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
If the given equation x²-11x+17 is compared with the general quadratic equation ax²+bx+c, then the value of a, b, and c is 1, -11, and 17, respectively.
The roots of the given polynomial x²-11x+17=0 can be found as shown below. Therefore, The roots of the polynomial are,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\x = \dfrac{-(-11) \pm \sqrt{(-11)^2 - 4(1)(17)}}{2(1)}\\\\x = \dfrac{11 \pm \sqrt{121 - 68}}{2}\\\\x = \dfrac{11 \pm \sqrt{53}}{2}[/tex]
x= (11 + √53)/2 , (11 - √53)/2
Hence, the two values of x that are the roots of the polynomial are E and F.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
#SPJ5
Related Questions
I'm having trouble, can someone walk me through solving it? Please, I really need help
Answers
Answer:
1/3
Step-by-step explanation:
f(√x+1)= 1/x
for f(2)
2= √x+1 ⇒ 4= x+1 ⇒ x= 3
f(2)= f(√3+1) and f(√3+1) = 1/3
so f(2)= 1/3
HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM
Answers
Answer:
you combine like terms by adding them up
Step-by-step explanation:
Which graph shows the solution to this system of inequalities?
Answers
Answer:
Your graph is supposed to be like this so your answer is C
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY
Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.
Answers
Answer:
Step-by-step explanation:
log8 62 = x1
8^x1= 62
8^2 =64 >62 so x1<2
log7 50=x2
7^x2=50
7^2=49<50 so x2>2
we have, x1<2 and 2<x2
x1<2<x2
x1<x2
log8 62<log7 50
What is 40% of 260..
Answers
Answer:
104
Step-by-step explanation:
40 x 260 /100 = 104
Answer:
104
Step-by-step explanation:
40% of 260=
40/100 x 260=
10400/100=
104
find the value of x and z
please give correct answers
it's urgent
Answers
Step-by-step explanation:
Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:
4x + 24 = 7x + 3
-3x = -21
x = 7°
Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:
4x + 24 + z = 180
4 * 7 + 24 + z = 180 (Substitute x = 7)
28 + 24 + z = 180
52 + z = 180
z = 128°
.- Calcule el interés producido por un capital de 4 500 dólares al 5% de interés simple anual en 8 meses.
Answers
Answer: $150
Step-by-step explanation:
Hi, the question says:
Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.
To answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Since 1 year = 12 months;
For 8 months:
8/12 = 2/3 years
Replacing with the values given
I = 4500 x (5/100) x 2/3
I = $150
Feel free to ask for more if needed or if you did not understand something.
8 1/6 × 12 solve the equation
Answers
Answer:
Step-by-step explanation:
8 1/6=49/6
49/6*12=49*2=98
if this is the question 81÷6(81/6) ×12
Answer:243
EXPLANATION:
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Answers
Answer:
The weight in ounces of one box = 15ounces
Step-by-step explanation:
We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.
In order words, 11boxes weigh 165ounces.
To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.
Weight of the 11boxes = 165ounces
Number of boxes that gives that weight = 11
The weight of one box = 165/11
The weight of one box = 15ounces
Answer:
(C)
Step-by-step explanation:
I took the quiz
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answers
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
Someone help please
Answers
Step-by-step explanation:
First let us suppose the missing number x
I think we will cross multiply
5b2 = bx
5b2/b = bx
5b = x
Answer:
[tex]25[/tex] will go into the box.
Step-by-step explanation:
Square the denominator and the denominator to get the required expression.
[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]
Best Regards!
which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points
Answers
Answer:
A
Step-by-step explanation:
Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.
Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)
Answers
Answer:
D. 10(6y - 9 - 2x)
Step-by-step explanation:
We want to factor 60y - 90 - 20x.
We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.
10 is common among all three:
10(6y - 9 - 2x)
We have factored it.
Answer:
c
d
Step-by-step explanation:
Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answers
Answer:
Average speed = 100 km/h
Step-by-step explanation:
Given:
Total distance covered = 250 km
Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5
Find:
Average speed.
Computation:
⇒ Average speed = Total distance covered / Total time taken
⇒ Average speed = 250 / 2.5
⇒ Average speed = 100 km/h
work out the volume of a sphere please help i’ll give u brainlest
Answers
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 9.5 cm
V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]
V = [tex]\frac{10774}{3}[/tex]
V = 3591.4 cm³
Answer:
[tex]3591.4{cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]
Guests at a wedding had a choice of three main courses: fish, beef or chicken. ⅖ of the guests ordered fish, 3/10 ordered beef. The rest ordered chicken. What fraction of the guests ordered chicken?
Answers
Answer:
I answered this for you already :)
To play in the children's area at McDonald's, a child must be shorter than 47 inches tall. A mother with eight children knows that all eight of her children can play at McDonald's after checking to see that her tallest child is shorter than 47 inches .
Answers
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answers
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
what is the graph of y > x2-9.
Answers
Answer:
The 1st graph
Step-by-step explanation:
When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.
7x+8y=−46 2y − 6=0 What is the solution (x,y) to the system of equations above?
Answers
Answer:
(-10, 3)
Step-by-step explanation:
You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.
Step 1: Rewrite 2nd equation
2y = 6
y = 3
Step 2: Plug in y
7x + 8(3) = -46
7x + 24 = -46
7x = -70
x = -10
Put it in coordinates and we have our final answer!
PLS HELP I AM STUCK!!! 10^2+4-18+2-7*5-1
Answers
Answer:52
Step-by-step explanation:
Use pemdas :D
10^2+4-18+2-7*5-1
100+4-18+2-(7)(5)-1
104-18+2-(7)(5)-1
86+2-(7)(5)-1
88-(7)(5)-1
88-35-1
53-1
52
THE ANSWER TO YOUR PROBLEM!
52
THE ANSWER TO THE ANSWER TO YOUR PROBLEM!
10^2=100
10^2+14=114
10^2+4-18=86
10^2+4-18+2=88
10^2+4-18+2-7=81
10^2+4-18+2-7*5=83
10^2+4-18+2-7*5-1=52!
Hope i helped!-Animefan28
Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months. How much is in Sammi's account at the end of the 6 months?
Answers
Hi,
Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.
How much is in Sammy's account at the end of the 6 months?
25.50 × 6 = $153
In 6 months she deposits $153 into the account.
So :
125.75 + 153 = $278.75
At the end of the 6 months Sammy has $278.75 in her savings account.
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=9xy=9xy, equals, 9, x
(Choice B)
B
2y=18x2y=18x2, y, equals, 18, x
(Choice C)
C
pls answer as fast as u can
Answers
Answer:
3,12,15
Step-by-step explanation:
caculator
Any answers plz and thank you
Answers
Answer:
x = 19
Step-by-step explanation:
Since CD = DE then Δ CDE is isosceles and the base angles are congruent.
∠ DCE = ∠ DEC = 38° , thus
∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°
The consecutive angles of a parallelogram are supplementary, thus
∠ BAE + ∠ CDE = 180, that is
4x + 104 = 180 ( subtract 104 from both sides )
4x = 76 ( divide both sides by 4 )
x = 19
writing an equation in Point-Slope Form
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.
Answers
Answer:
y+1 = 2(x-6)
Step-by-step explanation:
We have a point (6,-1) and a slope m=2
The point slope form of a line is
y-y1 = m(x-x1)
y- -1 = 2(x-6)
y+1 = 2(x-6)
Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)
Step-by-step explanation:
Disregard my explanation, its in the wrong form
Point-slope form is y = mx + b
They gave us m, 2. And they gave us the coords, (6, -1)
All you have to do is plug this info in to get:
[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]
Can somebody help me with this ?? :)
Answers
Answer:
B.
Step-by-step explanation:
B.
This answer does not prove anything.
A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])
Answers
Answer: The midpoint is (1,0)
Step-by-step explanation:
Point B has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of the x and y coordinates.
x coordinates. [tex]\frac{-1+3}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
y coordinates . [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Midpoint: (1,0)
Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inches squared. Use the formula to calculate the volume. What is the volume of the cylinder? Cylinder V = Bh V = four-thirds pi inches cubed V = 21 pi inches cubed V = 54 pi inches cubed V = 108 pi inches cubed
Answers
Answer:
108 pi inches cubed
Step-by-step explanation:
The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.
Answer:
108
Step-by-step explanation:
Use completing the square to solve for X in the equation (c+7)(x-9)=25
Answers
Answer:
x = 1 ± √89
Step-by-step explanation:
Step 1: Expand
x² - 2x - 63 = 25
Step 2: Isolate xs
x² - 2x = 88
Step 3: Complete the square
x² - 2x + 1 = 88 + 1
(x - 1)² = 89
Step 3: Square root both sides
√(x - 1)² = ±√89
x - 1 = ±√89
Step 4: Isolate x
x = 1 ± √89
if y= -6 when x= -2 find y when x= 5
Answers
Answer:
Y=15 when x=5
Step-by-step explanation:
if y= -6 when x= -2
So y=? When x=5
Y=15
Hope this helps
Good Luck