The equation x² + 6x + 9 has two real roots, because the discriminant (b² - 4ac) is greater than zero. The two roots can be calculated using the quadratic formula.
The equation x² + 6x + 9 has two real roots, because the discriminant (b² - 4ac) is greater than zero. This can be seen by calculating b² - 4ac, which in this case gives (6² - 4*1*9) = 36 - 36 = 0. A discriminant of zero or higher means that the equation has two real roots. The two roots can be calculated using the quadratic formula, which is x = [-b ± Â√(b² - 4ac)] / 2a. In this case, a = 1, b = 6, and c = 9, so the formula becomes x = [-6 ± Â√(6² - 4*1*9)] / 2, which simplifies to x = [-6 ± Â√0] / 2, or x = [-6 ± 0] / 2. So the two roots are x = -3 and x = -3, which means that the equation has two equal real roots.
x² + 6x + 9
b² - 4ac = (6² - 4*1*9) = 36 - 36 = 0
x = [-6 ± Â√(6² - 4*1*9)] / 2
x = [-6 ± Â√0] / 2
x = [-6 ± 0] / 2
x = -3 and x = -3
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Find the value for a.
Answer:
a = 25
Step-by-step explanation:
The exterior angles of a polygon sum to 360°
Sum the exterior angles and equate to 360
a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is
4a + 260 = 360 ( subtract 260 from both sides )
4a = 100 ( divide both sides by 4 )
a = 25
Find the slope of each line.
Answer:
C) 1
Step-by-step explanation:
Slope = change in y over change in x
In the graph shown as y goes up 1 x goes up 1
so slope = 1/1 or 1
The slope equation is y=mx+b.
b is where the line crosses on the y axis, also known as the y-intercept.
m is the slope, which you are trying to find.
y and x are the points on the graph.
The slope is 3/3, which can be turned into 1, so the answer is c.
The table shows some ordered pairs that belong to a quadratic function.
Answer:
A. Y ≤ 4.
Step-by-step explanation:
This opens downwards and has a maximum at f(x) = 4.
Write an equation of the parabola with focus (0, -3) and vertex at the origin. Use z for the independent variable.
Answer:
z^2 = -12y
or y = -(z^2/12)
Step-by-step explanation:
Answer:
z^2 = -12y
Step-by-step explanation:
Given the vertex at origin;
This is same as (0,0)
The focus (0,-3)
The general form is;
(z-h)^2 = 4p(y-k)
(h,k) is the vertex (0,0); so h = 0 and k = 0
The focus is given as;
(h,k + p)
so ;
k + p = -3
but k =0
so p = -3
Thus, the equation of the parabola is;
(z-0)^2 = 4(-3)(y-0)
z^2 = -12y
Please help if you would like brianleist!!!
Find the area of the shape.
Answer:
27π
Step-by-step explanation:
A = πr²
= π(6)²
=36π
You want 3/4 of the circle
(3/4) 36π = 27π
What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?
Answer:
6%.
Step-by-step explanation:
HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?
Answer:
Crown the other person brainliest
Step-by-step explanation:
:)
Tom earns $16 a week mowing lawns. He spends 1 4 of his earnings on lunch and 1 2 of his earnings on music. He saves the rest. How many dollars does Tom save? Tell how you found the answer
Answer:
32 dollars
Step-by-step explanation:
I think the answer is $32 because 14-12 is 2 and if you multiply 16 times 2 that's how I got the answer. I could be wrong I am sorry if I am.
1. Value-Mart is advertising a Back-to-School sale on pencils. A pack of 24 sells
for $4.99, whereas a pack of 12 sells for $3.23. Which is the better buy? How do
you know?
Answer:
24 because you get more pencils to use in case one breaks.
in a right triangle, if cos(theta)=13/85', what is tan (theta)?
PLEASE HELP WHAT ONE
Its not C
Answer:
D. (-3, 4)
Step-by-step explanation:
Which has a greater slope, a horizontal line or a vertical line?
A. A vertical line has no defined slope, so the comparison cannot be made.
B. Horizontal line
C. Vertical line
D. A horizontal line has no defined slope, so the comparison cannot be made.
Answer:
A
Step-by-step explanation:
The slope of a vertical line is undefined
The slope of a horizontal line is 0
A rate written as 80 miles per hour is an example of a
Is -5 equal to 5? I need help
Answer:
yes
Step-by-step explanation:
An company charges an initial fee of $350, plus $50 for each additional service added.
Which function can be used to find y, the total amount a customer would pay after n services were added.
Answer:
Y=250+50n
Step-by-step explanation:
Well since y in this case is total cost that is basically (f) the function range.
The domain in this case is the 250 one time fee and the 50 buks per services.
Can someone help me with this equation?
Answer:
so far i think 9 but that's all I know for how
Step-by-step explanation:
image them turning into triangles
need help today!!!! plzs
Answer:
x=29
Step-by-step explanation:
cuz it's a 90 degree angle so 90-32 is 58 and divide it by 2 is 29 which would be x=29
can someone help me please ?
Answer:
-5/-3
Step-by-step explanation:
first y intercept=
-5/-3
e) What does the value of the mean absolute deviation tell you about the spread of the data? (2 points)
Answer:
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. ... Step 2: Calculate how far away each data point is from the mean using positive distances.
Mean deviation is defined as how much is each element of the data is far away from the mean of the data.
What is mean in statistics?We can define the mean of the given data set as the average of all the numbers. Mathematically, we can write mean as -
M = ∑x{i}/n
Given is to discuss what does the value of mean absolute deviation tell about the spread of the data.
Mean deviation is defined as how much is each element of the data is far away from the mean of the data. Mathematically, we can write mean deviation as -
[tex]$\frac {1}{n} \sum \limits_{i=1}^n |x_i-m(X)|[/tex]
where -
m(X) = average or mean value(n) = number of data elements in the data setx(i) = data valuesTherefore, Mean deviation is defined as how much is each element of the data is far away from the mean of the data.
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Each table represents a proportional relationship.
I NEED HELPPP
3000(.65), where t is
1. The amount of hair Jafar has left can be modeled by the equation f(t)
time in days. Which statement describes the change in number of hairs per day?
a. 65% decrease daily
b. 65% increase daily
c. 35% increase daily
d. 35% decrease daily
the answer is c. 35% increase daily
I dont know how to do any of this help me pls
Get 180, then subtract every angle you see in the diagram and you'll get your answer.
NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point
Given:
The regression equation is:
[tex]y=-25x+436[/tex]
The given point is (17,3.8).
To find:
The residual for the given point.
Solution:
We have,
[tex]y=-25x+436[/tex]
Substituting [tex]x=17[/tex], we get
[tex]y=-25(17)+436[/tex]
[tex]y=-425+436[/tex]
[tex]y=11[/tex]
The predicted value at [tex]x=17[/tex] is 11.
The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.
Formula for residual:
Residual = Observed value - Predicted value
Residual = [tex]3.8-11[/tex]
Residual = [tex]-7.2[/tex]
Therefore, the residual for the given point is -7.2.
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11. I know the answer is 81 I just need to know why it is a repeating decimal?
Answer:
Cuz the number after the decimal repeats
Step-by-step explanation:
21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24
Answer:
Answer is D) 42x − 24
Step-by-step explanation:
Opening the expression given in question
6(7x − 4)
6 will be multiplied by both items present inside parenthesis.
it can be written as
={(6 * 7x) - (6*4)}
=42x-24
Hope that clears the question.
Write and solve the equation for t to find when
there is 200 gallons of water in the tub.
Answer:
t = 10 minutes
Step-by-step explanation:
200 = 600 - 40t
-400 = -40t
t = 10
please dont put any links
Solve the equation.
- 9/4v + 4/5 =7/8
Answer:
-1/30
Step-by-step explanation:
can someone please help me on this problem.