Answer:
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
a = 1
b is the sum of its two roots
c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
If x=2,find the value of x²+1/x²
Answer:
17/4 or 4 1/4
Step-by-step explanation:
Substitute x = 2 into the expression x² + 1/x².
(2)² + 1/(2)²Evaluate the exponents in the expression.
(4) + 1/(4) 4 + 1/4Multiply 4 by 4/4 to get a common denominator of 4.
16/4 + 1/4Add the numerators together.
17/4The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.
Neil got a hit 9 of the 11 times he batted in the CDNIS softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?
Answer:
YES
Step-by-step explanation:
If 18/22 is expressed in simplest terms. that is if both the numerator and denominator is divided by 2. It gives 9/11
We can determine if they are the same by multiplying both fractions by 100
9/11 x 100 = 81.8
18/22 x 100 = 81,8
they yield the same number, thus the records are the same
Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16
Answer: center is (9, -4)
Step-by-step explanation:
30 points!!!!!!!!!!!!!!!!!!!
Answer:
b?
Step-by-step explanation:
Y’all I need help on this question:) so if you could please help me I would appreciate it!!
Answer: [tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Anything to the third power means it is multiplied by itself 3 times.
--> [tex](\frac{1}{3})^{3} =(\frac{1}{3})(\frac{1}{3})(\frac{1}{3})=\frac{1}{27}[/tex]
I someoneeee pleaeee helpppp?!
Answer:
Check pdf
Step-by-step explanation:
The perimeter of a rectangle is 52 cm and its area is 144 square centimeters. Find the dimensions of the rectangle.
Answer:
hello there how are you today
Function operations
Answer:
it manages and controls input output devices.
please help!
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
part A: What is the rate of growth Michael expects each week after launching the website?
A.
104.5%
B.
95.5%
C.
0.045%
D.
4.5%
Answer:
D. 4.5%
Step-by-step explanation:
Michael expects the rate of growth to be 4.5% each week because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%
the growth rate per week is 4.5% Micheal can expect.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given equation is,
y = 82(1.045)x,
Where y represents number of people and x represent number of week.
After 1 week, x=1
y=82×1.045
The multiplying factor is 1.045
It implies that after 1 week growth increase by, 0.045
The percentage value of 0.045 is 4.5%
So the growth rate per week is 4.5%.
To know more about Rate on:
https://brainly.com/question/23634231
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Giorgio is randomly drawing a numbered tile from a bag that only contains the numbers {3, 4, 5, 6, 7, 8, 9, 10, 11} What is the probability of Giorgio not drawing a tile with an even number?
Answer:
5/9
Step-by-step explanation:
total number of odd numbers / total numbers in the bag = 5/9
Which expression is another way of representing the given product?
Answer:
you add the numbers
Step-by-step explanation:
Answer:
It will be D
Step-by-step explanation:
I know this because I took the test
The dot plots below show the distributions of scores on a current events quiz for two classes of 24 students. Write a description of the standard deviation of the scores in each of the classes. Based on the spread of the data, which class performed better on the quiz.
Answer:
5
Step-by-step explanation:
5
What is the answer to 6+6x=y
What are the steps for 2x+1=7
Answer:
x = 3
Step-by-step explanation:
Step 1:
Subtract 1 from both sides
2x + 1 = 7
2x + 1 - 1 = 7 - 1
2x = 6
(1 - 1 will cancel itself out on the side with the variable.)
Step 2:
Divide both sides by 2
2x = 6
2x ÷ 2 = 6 ÷ 2
x = 6 ÷ 2
(2 divide by 2, will cancel itself out on the side with the variable.)
Step 3:
Solve for x
6 ÷ 2 = 3
x = 6 ÷ 2 = 3
x = 3
ANSWER FOR BRAINLIEST AND 70 POINTS!
Answer:
um
Step-by-step explanation:
For each point go right 4 and down 2.
so it would be
k (2,1)
L (0,-4)
g (2,-4)
Can someone please help me with math.
Answer:
c. 84
Step-by-step explanation:
oh hunny, just add up the female row of students only under dorms and apartment. (60+24)
HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP 10 POINTS anD BRAINIESt
Answer:
35.859375?
Step-by-step explanation: ;-;
Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover.
Answer:
5026.55in²
Step-by-step explanation:
Area = πr^2
radius (r) is half of the diameter, hence the radius is 40 inches
So after plugging that in, the equation should look like
Area = π(40)^2
A = 1600π ≈ 5026.55
The units for this is in² so just add that in the end
Help me with this!!!!!
Answer:
b = 28
Step-by-step explanation:
b + 28 = 2b
28 = 2b - b
28 = b
b = 28
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the area of the rectangle is 22 square inches, what is the value of the unknown number?
Given:
Short sides of a rectangle = 2 inches.
Area of the rectangle = 22 square inches.
The long sides of the same rectangle are three less than an unknown number of inches.
To find:
The unknown number.
Solution:
Let x be the unknown number. Then the longer side of the rectangle is (x-3) inches.
We know that the area of a rectangle is
[tex]A=length\times width[/tex]
The area of the rectangle is 22 square inches.
[tex]22=2(x-3)[/tex]
Divide both sides by 2.
[tex]11=x-3[/tex]
Add 3 on both sides.
[tex]11+3=x-3+3[/tex]
[tex]14=x[/tex]
Therefore, the value of the unknown number is 14.
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
Micaela answered 158 questions correctly on her multiple choice math final that had a total of 200 problems. what percentage of questions did micaela answer correctly on the final exam?
Answer:
79%
Step-by-step explanation:
fraction = 158/200
Denominator has to be over 100 to be able to be converted to percent
158/200 = 79/100
79/100 = 79%
Seven cereal bars are shared equally by 3 students. How many does each student receive?
Answer:
Each student receives two and there's one leftover
OR
Each student receives 2 1/3
Step-by-step explanation:
some teachers want it with a remainder but some just want the students to share the damñ cereal bars <3
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
i’ll give brainliest!
Answer:
A. or C.
Step-by-step explanation:
The numbers don't decrease they increase.
Answer:
Either A or C
Step-by-step explanation:
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answer:
12285
Step-by-step explanation:
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C both line and point symmetry
Step-by-step explanation:
the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
Factor the trinomial into two binomials
x^2+6x+5
Step-by-step explanation:
x^2+6x+5=0
x^2+5x+1x+5=0
x(x+5)+1(x+5)
(x+5)(x+1)
x+5=0 x+1=0
x=-5 x=-1