The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
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A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours
I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!
Answer:
6 movies = 1st plan
7 movies = 1st plan
8 movies = Either is fine. (They're the same price)
9 movies = 2nd plan
10 movies = 2nd plan
Step-by-step explanation:
6 movies (1st plan) = 20 + 5 × 6
= 50 (less than 60 so it is cheaper)
7 movies (1st plan) = 20 + 5 × 7
= 55 (less than 60 so it is cheaper)
8 movies (1st plan) = 20 + 5 × 8
= 60 (same as 2nd plan so either is fine)
9 movies (1st plan) = 20 + 5 × 9
= 65 (more than 60 so 2nd plan is better)
10 movies (1st plan) = 20 + 5 × 10
= 70 (more than 60 so 2nd plan is better)
Number 1
In the relation, what is the domain?
I
In the relation, what is the range?
Answer:
Step-by-step explanation:
D(x)= (-1, -1\2, 3/2, 2)
A domain is any X value in an array of ordered pairs
what is the solution to the system of equations?
A(7, 4 )
B(7, 13/3 )
C(8, 14/3 )
D(9, 7)
Answer:
d
Step-by-step explanation:
40 . 8- 10 exponent 2
Answer:
-92
Step-by-step explanation:
8 - (10^2)
Answer:
2
2-
Step-by-step explanation:
2 over 2 exponent
Noah said, “When you divide a number by a second number, the result will always be smaller than the first number.”
Jada said, “I think the result could be larger or smaller, depending on the numbers.”
Do you agree with Noah or Jada? Show or explain your reasoning.
Answer:
When dividing two fractions by each other, the result will be larger. Dividing two whole numbers, however, will always result in a smaller number because you're taking away a part of the number.
Step-by-step explanation:
Catalinas mother recorded her Height each year. The table below shows her height in inches
Sandra's Bike Club had 360 members last month. Each member pays a $12 membership fee per month.
This month, 27 new members joined and 34 members left the club. How much money will Sandra collect
this month in membership fees?
Answer:
$4,236
Step-by-step explanation:
34-27=7
360-7=353
353(12)=4,236
Y=-1/4x +9 what is the slope and y - intercept
Answer:
The slope is -1/4 and the y intercept is at (0, 9)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since -1/4 is the coefficient to x in the equation, the slope is -1/4.
Since there is a +9 at the end of the equation, the y intercept is (0, 9).
So, the slope is -1/4 and the y intercept is at (0, 9)
Please help quick! It is due in 20 min! Please help!
Answer:
Step-by-step explanation:
1. (a + b) (a - b)
2. 2
3. 4.5 or 4[tex]\frac{1}{2}[/tex] or [tex]\frac{9}{2}[/tex] or if u wanna round up then 5
hope this helps :)
Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C
Answer:
look at step by step
Step-by-step explanation:
A) That is the number of bacteria that originally started in the culture
B) That is the rate at which the bacteria will reproduce
C) 1000 represents the number of bacteria at the beginning of the second culture.
The first study started with more bacteria, and will grow faster because of this
Fill in the blanks by standardizing the normally distributed variable.
Dave drives to work each morning at about the same time. His commute time is normally
distributed with a mean of 40 minutes and a standard deviation of 5 minutes. The percentage of
time that his commute time is less than 44 minutes is equal to the area under the standard normal
curve that lies to the __of_
left, -0.8
Oright, 0.8
Oright, 1
left, 0.8
Previous
Next >
Answer:you know how to get it look it up :D
Step-by-step explanation:
Give me big brain plz
Please help me fastttt!!!!
Answer:
-4
Step-by-step explanation:
2^2 =4
PMDAS
-36 / 4 +5
-9+5
-4
PLEASE HELP STAT WILL MARK BRAINLIEST.
There are 78 skiers in line to ride the chair lift. If each chair seats 4 people, how many skiers will be on the last chair? [REMAINDER]
Answer:
19 r2
Step-by-step explanation:
okay so if you have 19.5 and there are 4 people per chair lift. You have to find half of 4 because .5 equals one half in this situation.
4 divided by 2 equals 2 so your remainder is 2
Write the equation of the line that has a slope of 8 and passes through the point (9, -1).
Answer:
Y=8x-9
Step-by-step explanation:
1
60°
6
7
4
LO
40°
2
3
30%
20°
Jo measures of a triangle.
its angles.
Help plzz
Answer:
1=50
2=90
3=60
4=60
5=60
6=60
7= 120
Step-by-step explanation:
I need help ASAP I’ll mark you brainliest if you help pls
Answer:
1 hour sorry if wrong
Step-by-step explanation:
What is 15/22 as a repeating decimal?
Answer:
0.6818
Step-by-step explanation:
Which of the following fractions is equivalent to (−13)÷(−6)? Select two that apply.
A −13/6
B −6/13
C −2 1/6
D 2 1/6
E 6/13
F 13/6
Answer:
D and F
Step-by-step explanation:
Please mark brainliest.
Answer: D 2 1/6 F 13/6
Step-by-step explanation: I got this question on my test
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]
[tex]V=\pi (36)(3)[/tex]
[tex]V=108\pi[/tex]
Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.
write an equation for each description. solve for x
Answer:
x = 33
Step-by-step explanation:
Because of the little square we know the total angle is 90
24 + 2x = 90
-24
2x = 66
/2
x = 33
On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
4 units
11 units
14 units
15 units
I really need help asap with this math homework,
It is due tonight.
Answer:1920
Step-by-step explanation:
Sorry if this is not accurate but here is how your gonna do it
Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D
A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?
Answer: 0.1112
Step-by-step explanation:
Let X be a random variable .
Given: A normal population has a mean m=33 and standard deviation s = 9.
The probability that a randomly chosen value will be greater than 44 will be :-
[tex]P(X>44)=P(\dfrac{X-m}{s}>\dfrac{44-33}{9})\\\\=P(Z>\dfrac{11}{9})\\\\=P(Z>1.22)\\\\ =1-P(Z<1.22)\\\\=1-0.8888\\\\=0.1112[/tex]
Hence, the probability that a randomly chosen value will be greater than 44 = 0.1112
A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
Given:
mean m=33
standard deviation s = 9
probability = ?
Solution:
(34-39)/9 = -0.5556
which mean
34 is -0.5556 standard deviations from the mean.Using the normal distribution table,P(Z<-0.5556) ≈ 0.28774
or 28.774%
Thus, A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
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Two pounds of grapes cost $6.
Complete the table showing the price of different amounts of grapes at this rate
Answer:
2, 6
4, 12
8, 18
and so on
Step-by-step explanation:
multiply the number on the right by itself and do the same with the number on the left, this pattern could go on forever,
[tex]2 log_{2}(x) + \frac{1}{2} log_{2}(x - 1) - log_{2}( x + 3) [/tex]
solving these problem
I'm putting here a picture of the working out
GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)
Answer:
uhhh 21
Step-by-step explanation:
19
pls help me im timed :(
What is the slope of the line which passes through (4,7) and (2, 3)? (5 points)
2
-2.
3
-5
Answer:
2
Step-by-step explanation:
You can use the interactive graph below to find the answer.
\begin{cases} y=x+1 \\\\ y=2x-5 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=x+1
y=2x−5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Exactly one solution
(Choice B)
B
No solutions
(Choice C)
C
Infinitely many solutions
Answer:
there is only one solution.
Step-by-step explanation:
hope this helps!