The nature of the roots of the quadratic equation x² - 6x + 9 = 0 are real and equal
Given that :
The quadratic equation x² - 6x + 9 = 0
To find :
The nature of the roots of the quadratic equation x² - 6x + 9 = 0
x² - 6x + 9 = 0
Find discriminant of the equation
Comparing the given Quadratic equation x² - 6x + 9 = 0 with the general equation ax² + bx + c = 0 we get
a = 1 , b = - 6 , c = 9
The discriminant of the quadratic equation
= b² - 4ac
= (-6)² - 4* 1*9
=36 - 36
=0
Find nature of the roots of the quadratic equation
Since the discriminant of the quadratic equation = D = 0
Hence the roots of the quadratic equation x² - 6x + 9 = 0 are real and equal
To learn more about the Discriminant click here :
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What’s the answer????
The manager of The Counter noticed that the birthday club members all brought along a family member who spent an average of $22.00 in the restaurant. The tax on their bill was 9 percent. How much did the family member pay in total? (Hint: bill total + tax)
Answer:
Total amount pay by family member = $23.98
Step-by-step explanation:
Given:
Average amount spent on food = $22
Tax rate on restaurant food = 9%
Find:
Total amount pay by family member
Computation:
Amount of tax pay by family member = Average amount spent on food x Tax rate on restaurant food
Amount of tax pay by family member = 22 x 9%
Amount of tax pay by family member = 22 x 0.09
Amount of tax pay by family member = $1.98
Total amount pay by family member = Average amount spent on food + Amount of tax pay by family member
Total amount pay by family member = 22 + 1.98
Total amount pay by family member = $23.98
given that f(x) = 3x + 5, find f(x+2)
Answer:
f(x)=3(x)+5
f(x+2)=3(x+2)+5
=3x+6+5
=3x+11
(Daily math question for points!!) A circle has a circumference of 50.26cm
To the nearest centimeter, what is the diameter of the circle?
Answer:
7.99912744cm
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
Circumference is 50.26 = pi*d d = 50.26/3.14 = 16
The area of a rectangle is 560 square inches. The length is 3 more twice the width. Find the length and width.
Answer:
l = 35 inches and b = 16 inches
Step-by-step explanation:
Let length be b and width be b.
The area of a rectangle is 560 square inches.
Length is 3 more twice the width.
l = 2b+3 ....(1)
We know that,
Area = length × width
560 = (2b+3)b
[tex]2b^2+3b-560=0\\\\b=16,-17.5[/tex]
Put b = 16 in equation (1).
l = 2(16)+3
= 35 inches
So, the length is 35 inches and the width is 16 inches.
What is the exact volume of the cone?
A 80π ft³
B 4003π ft³
C 400π ft³
D 418710π ft³
Answer:
Step-by-step explanation:
volume of cone = πr²h/3 = π×5²×16 = 400π ft³
an earhtquake magnitude 2.0 or less
Richter magnitude Earthquake effect
< 2.0 Micro Micro earthquakes, not felt.
2.0-2.9 Minor Generally not felt, but recorded.
The probability of randomly selecting two oranges from a bowl of 5 oranges and 4 tangerines if the first selection is replaced
Answer:
25/81
Step-by-step explanation:
The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)
total number of fruits in the bowl = 5 + 4 = 9
5/9 x 5/9 = 25/81
LAST ONE OK BUT HELP PLZ
Answer:
561 Inches
Step-by-step explanation:
8.5 * 5.5 * 12 = 561
Formula for Volume:
Length x Width x Hight
1 point
If 20 is added to the data set below, which statement will be true? 50, 55,
55, 60, 62*
Answer:
20 will be the median
Step-by-step explanation:
help me i give brainliest.
Mod 12 Exam
Determine whether or not the triangle with the given side lengths is a right triangle.
51 feet, 14 feet, 49 feet
Don't forget to explain your reasonings
Sally's huge dog weighed 175 pounds in 2018 and then weighed 145 pounds in 2020. What was the rate of change in weight?
pounds per year?
Answer: 15 lbs per year
Step-by-step explanation:
Huge dog lost 30 lbs in a span of 2 years so divide to find rate of change which is 15lbs per year
Answer: -15 pounds per year
Step-by-step explanation:
We can first list out all the information like Year, Weight
so (2018, 175) and (2020,145)
It asks to find the slope, so we just use the slope formula
175-145/2018-2020 = 30/-2 which is -15
Solve for the?
Pls actually help
(4x3+2x+6)+(2x3−x2+2
Answer:
Simplify the expression.
4x^3+x^2+10
Step-by-step explanation:
which of the following inequality has (5,1) as a solution? a.)3x+y≤3 b.)3x-y≤3 c.)3x-y<15 d.)3x+y<15
Answer:
i think its A :)
Step-by-step explanation:
help please I really ned it
Answer:
sqdfnm swfqwef
Step-by-step explanation:
wqfjqwebnkjf qwebf
What is the simplified value of the expression below? Help please
19 is greater than the sum the number n and 3
Alfonso plans to create an ice sculpture out of a 8-cubic foot ice cube. What is the surface area of the cube?
Answer:
Surface area of cube = 24 ft²
Step-by-step explanation:
Given:
Volume of cube = 8 ft³
Find:
Surface area of cube
Computation:
Volume of cube = Side³
Side³ = 8 ft³
Side³ = (2 ft)³
Side = 2 ft
Surface area of cube = 6a²
Surface area of cube = 6(2)²
Surface area of cube = 6(4)
Surface area of cube = 24 ft²
Can someone help asap
Answer:
A. Because both of the other lines are bigger.
Step-by-step explanation:
Simplify.
(2 x 108) + (4 * 103)
Give the answer in scientific notation
Answer:
628
Step-by-step explanation:
216+412 = 628
First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)
A cylinder with the height of 6km has a volume of 384km3 what is the radius?
Answer:
r = 8
Step-by-step explanation:
V = π r^2 h so 383 = r^2 (6)
383 / 6 = r^2
64 = r^2 so
r = 8
GIVING 11 POINTS AWAY PLEASE HELP ME ASAP!!!! PLEASE DONT GUESS CAUSE THIS IS A TEST QUESTION
Answer: it’s B I’m positive
Step-by-step explanation:
can somebody help with this??????
Answer:
6
Step-by-step explanation:
The equation can be made more clear by changing the form.
g(h(0)) = ?
All we have to do is find the y values for an x value of 0
h(x) = x^2 - 3
h(0) = 0^2 - 3
h(0) = -3
So now we plug in -3 for g(x)
g(x) = -2x
g(-3) = -2(-3)
g(-3) = 6
how would I word that it is being doubled in size?
The question is how did D get to E.
Answer:
It doubled up is what you could say
A store increases the price of a shirt by 10%, then reduces the cost by $10. The
price is then 90% of the original price. Find the original price.
Answer:
111
Step-by-step explanation:
NP = (S x 1.10) - 10
OP = NP / .9
the square of a number decreased by 15 is twice the number. find the number
further explanation please
Answer:
x = 5, -3
Step-by-step explanation:
x² - 15 = 2x
x² - 2x - 15 = 0
(x - 5)(x + 3) = 0
Mhanifa can you please help me? This is due ASAP! Look at the picture attached. I will mark brainliest
Answer:
1.
y=40
x=14
2.
a=10
b=37
3.
u=62
v=59
4.
s=9
t=14
hope this helps.
Answer:
Properties of a parallelogram
Opposite sides and opposite angles are congruentAdjacent angles are supplementary (sum to 180°)Diagonals bisect each other#1
17 = x + 3 ⇒ x = 17 - 3 ⇒ x = 14y - 2 = 38 ⇒ y = 38 + 2 ⇒ y = 40#2
a + 5 = 15 ⇒ a = 15 - 5 ⇒ a = 103b = 111° ⇒ b = 111°/3 ⇒ b = 37°#3
2u = 124° ⇒ u = 124°/2 ⇒ u = 62°124° + v - 3 = 180° ⇒ v + 121° = 180 ⇒ v = 180° - 121° ⇒ v = 59°#4
t + 5 = 19 ⇒ t = 19 - 5 ⇒ t = 143s = 27 ⇒ s = 27/3 ⇒ s = 9Justin and Austin decide to play catch after school. They start at the same point.
Justin walks 40 feet north and 10 feet west. Austin walks 30 feet south and 20 feet east. How far apart are
they? (Round to the nearest tenth).
A) 76.2 ft
B) 14.1 ft
C) 70.7 ft
D) 31.6 f