Step-by-step explanation:
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
D = b² - 4 a c
From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
An axis of symmetry of quadratic equation y = ax² + bx + c is :
Let us now tackle the problem!
Given:
f(x) = 3x² - 6x - 13
Asked:
Domain = ?
Solution:
Velocity is a vector quantity.
Vector quantity has magnitude and direction.
Directon of vector is represented by the sign of the quantity
If x is the velocity of the boat relative to land , then:
The value of x could be positive , negative or zero.
Answer:
Anthony is rowing a boat upstream. The following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. What is the domain of the function?
All real numbers
x ≥ 1
x ≤ −6
x ≥ −13
Step-by-step explanation:
it is a
if x+1/x = 5 find the value of x^3 +1/x^3. pls solve
Answer:
1) solve x+1/x = 5
[tex] \frac{x + 1}{x} = 5[/tex]
[tex]x + 1 = 5x[/tex]
[tex]x - 5x = - 1[/tex]
[tex] - 4x = - 1[/tex]
[tex]x = \frac{ -1}{ - 4} [/tex]
[tex]x = \frac{1}{4} [/tex]
2) solve x³+1/x³
[tex]x {}^{3} + \frac{1}{x {}^{3} } [/tex]
substitute x = 1/4 into the expression
[tex]( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } [/tex]
[tex] \frac{1}{64} + \frac{1}{ \frac{1}{64} } [/tex]
[tex] \frac{1}{64} + \frac{64 \times 1}{1} [/tex]
[tex] \frac{1}{64} + 64[/tex]
[tex] \frac{4097}{64} \: or \: 64.02[/tex]
2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)
Add the Fractions: Simplify if possible
10 1/3 + 1 2/3 =
Answer:
I believe the answer is 12
Answer:
the correct answer would be 12
Step-by-step explanation:
10 1/3 + 1 2/3
31/3 + 1 2/3
31/3 + 5/3
=12
Hope this helps, happy holidays!!
What is the point-slope form equation of the graph?
Answer:
y-4= 1/2(x+2)
Step-by-step explanation:
What is the total including sales tax for an item that cost 75.25 at a tax rate of 8%
Answer:
$81.27
Step-by-step explanation:
75.25 X 8% = $6.02 + 75.25 = $81.27
Write a recursive formula for the
sequence
12,27,42,57.....
HELP ME PLEASE I DO ANYTHING I BEEN STUCK FOR 30mins now
Answer: Adding 15 each time
plz help its late !?!?
Answer:
A
Their slopes are negative reciprocals
A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?
Answer
92%
Explanation
23 out of 25 people voted Abdul.
So that means [tex]\frac{23}{25}[/tex] people voted Abdul.
When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).
You divide because a fraction means the numerator divided by the denominator.
A price of a toy usually costing £50 is increased to £65
work out the percentage increase
Answer:
15/50×100=30%
Step-by-step explanation:
What is the x intercept of the graph of 3x-y+6=0
Answer: It would be 2,0 :) Please tell me if I'm wrong
Step-by-step explanation:
Evaluate the following using a nmber line:-4+-5+3
Answer:
-6
Step-by-step explanation:
-4+-5=-9
-9+3=-6
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
#SPJ3
y=1.9x+2.5 what does this equal
Answer:
x=y+4.4
Step-by-step explanation:
y=1.9x+2.5
y/x=4.4
x=y+4.4
plzz help me with this
Answer:
Lily is correct.
Step-by-step explanation:
Lily is correct. There is no such thing as AAA congruence. James has proved that the three angles are the same, but the triangles could still be of different sizes.
If 30% of students failed their last test, and there were 40 students that took the test, how many students failed?
Answer:
12.
Step-by-step explanation:
30% of 40 is 12. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
problem: – 12 = - Зу
Answer:
4y or 4 (divide)
Step-by-step explanation:
Answer:
y = 4
Step-by-step explanation:
Is this what you wanted?
HELP! WILL MARK BRAINLIEST
Answer:
it is b
Step-by-step explanation:
Sheena made a scale drawing of her classroom using a scale of 1 inch = 10 feet. One wall of the classroom in the drawing is 4 inches long. Which proportion can be used to find x, the length of the actual wall, in feet?
Answer:
40 Feet
Step-by-step explanation:
1 inch = 10 feet
4 inch = 4 * (10 feet)
4 inch = 40 feet
if I have 130 of something and I need 200 how many more do I need
Answer:
70
Step-by-step explanation:
200 - 130
Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52
Hunter and Manny work at a horse farm. On Thursday, they split cleaning the small horse stalls, but Manny finished first. On Friday, they are going to work together to clean the big horse stalls. If they clean for the same amount of time on Friday, who will likely clean more horse stalls?
HELPPPP
Answer:
its most likely to be manny
Step-by-step explanation:
since he finished the same amount as hunter faster
Answer:manny
Step-by-step explanation: I did it
ASAP someone please help me step by step so I can understand it better please
Answer:
Y=6
Step-by-step explanation:
a worker produced 480 parts over an 8-hour shift. how many parts per hour did the worker produce.
Answer:
60
Step-by-step explanation:
PLEASE HELP ME OUT WITH THIS I NEED HELP BAD!!!!!!
Answer:
First box is the one all the way on the right
Second box Is the second one from the left
Third box Is the first one on the left
Last box is the 3rd one from the left
Step-by-step explanation:
be SPEEDY! Name two
perpendicular lines and two parallel lines.
Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles apart. If Lance bikes 2 mph faster then Brent, how fast is Lance biking?
Answer:
18 mph so B is correct 16+2= 18
Answer:
B
Step-by-step explanation:
If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?
Answer:
Total item = 364
Step-by-step explanation:
1 partridge for 12 days = 12 x 1 = 12
2 turtle doves for 11 days = 11 x 2 = 22
3 french hens for 10 days 10 x 3 = 30
4 calling birds for 9 days = 9 x 4 = 36
5 gold rings for 8 days = 8 x 5 = 40
6 geese a-laying for 7 days = 7 x 6 = 42
7 swans a-swimming for 6 days = 6 x 7 = 42
8 maids a-milking for 5 days = 5 x 8 = 40
9 ladies dancing for 4 days = 4 x 9 = 36
10 lords a-leaping for 3 days = 3 x 10 = 30
11 pipers piping for 2 days = 2 x 11 = 22
12 drummers drumming for 1 day = 1 x 12 = 12
Total item = 364
A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?
Answer:
280
Step-by-step explanation:
subtract
Answer:300
Step-by-step explanation:
) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?
Answer:
a) 15160 gallons
b) 3032 gallons
Step-by-step explanation:
Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week
a) when she raises the price by 10 cents per gallon
There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons
b) when she decrease the price by 2 cents per gallon
There will be an increase ( 2 * 1516 ) gallons sold per week i.e. = 3032 gallons