I) Degree Yes No m b
6) 1 √ 1 10
7) 1 √ 5 -1
8) 2 √
II)
9) x = 1,y = 3, 3x
x = 2,y = 6, 3x
x = 3,y = 9, 3x
It's a linear equation because it has 1 degree of function.
f(x) = 3x + 0.
10) x = -2,y = 4,x²
x = -1,y = 1,x²
x = 0,y = 0,x²
It's not linear a linear equation because it has 2 degree of function.
A)
1. m = -2/3 , b = 4
y = mx + b
y = -2/3x + 4
Values;
x= 0,y = 4 (0, 4)
x=1,y=10/3 (1,10/3)
x=2, y= 8/3 (2, 8/3)
x=3, y=2 (3, 2)
x=4, y=4/3 (4, 4/3)
The graph is the 1st one above.
2. a = -2 , b = 3
y = mx + b
at y = 0, x = -2
0 = m(-2) + 3
-3 = -2m
m = 3/2
y = 3/2x + 3
Values;
x = -2, y=0, (-2, 0)
x = -1, y = 3/2, (-1, 3/2)
x = 0,y = 3, (0, 3)
x = 1,y = 9/2, (1, 9/2)
x = 2, y = 6, (2, 6)
The graph is the 2nd one above.
Use long division to divide and use the result to factor the dividend completely.
(5x2-13x - 28) + (x – 4)
(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5 and x = 4 are the two factors of the given polynomial.
What is a factor of a polynomial ?The factors of a polynomial are those values of x for which the given polynomial satisfies.
According to the given question we have to divide a polynomial (5x² - 13x -28) by (x - 4).
(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).
(5x² - 13x -28)/(x-4) = (x-4)(5x+7).
So, the obtained factor is (5x+7) = 0.
∴ 5x + 7 = 0
5x = -7
x = -7/5 is a factor of the given polynomial and by substituting these value in x.
(5x² - 13x -28)
5(-7/5)² - 13(-7/5) - 28 = 0
5(49/25) + 91/5 - 28 = 0
49/5 + 91/5 - 28 = 0
140/5 - 28 = 0.
28 - 28 = 0
0 = 0 ( hence satisfied that -7/5 is a factor of the given polynomial ).
learn more about polynomials here :
https://brainly.com/question/14624349
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Tom made $90 for 5 hours of work.
At the same rate, how many hours would he have to work to make $126?
7 Hours
Step-by-step explanation:
Very simple, 90/5 is 18, so that means Tom makes 18 dollars an hour, multiply 18 by 7 and you get 126.
(Thanks and Brainiest Appreciated)
An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
can someone tell me if this is correct.
A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.
The value of xis
and the value of yis
Answer:
x = -8/3
y = 5
Step-by-step explanation:
Finding the equation of the line:
y = 3x +c
Substituting (-2,5) into 'y=3x+c':
5 = -6 + c
c = 11
Hence,
y = 3x + 11
For finding x:
Substituting (x, 3) into 'y = 3x +11':
3 = 3x + 11
3x = -8
x = -8/3
For finding y:
Substituting (-2, y) into 'y = 3x + 11':
y = -6 + 11
y = 5
Hope this helps and be sure to have a wonderful time at Brainly! :D
Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
First, complete the equation:
Future Amount = [?](1+10
=
hello can anyone help?
Harry drives 182 miles.
His average speed is 35 miles per hour.
How long does the journey take?
Give your answer in hours and minutes.
Answer:
5 hours 12 minutes
Step-by-step explanation:
Amount of time the journey took = 182 miles ÷ 35 miles/h
= 5.2h
= 5h 12mins
The points in the table lie on a line. Find the slope of the line.
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} [/tex]
3. Which phrase best describes the function of the ATP molecule?
1. Carries energy
2. Destroy energy
3. absorbs energy
4. none of the above
Answer:
1.) Carries energy
Step-by-step explanation:
A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.
Easy? Please help me
Sarah earns $
8.50
8.50 per hour babysitting. She needs to make at least $
187
187 to buy a new bike.
Write an inequality to represent the number of hours Sarah needs to work to afford the bike.
187
h
≥
8.50
187h≥8.50
187
h
≤
8.50
187h≤8.50
8.50
h
≥
187
8.50h≥187
8.50
h
≤
187
8.50h≤187
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
B
Step-by-step explanation:
Each coordinate becomes 1/4 of what it was.
Answer: B
Answer:
Second option
Step-by-step explanation:
It's just how a scale factor works i guess, it's hard to explain.
Find all rational zeros of the given polynomial function.
f(x) = x^3 + 8x^2 + 5x – 14
Answer:
x = 1, -2, -7
Step-by-step explanation:
Just factor, you got this!
How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences
Answer:
ok here ya go
Step-by-step explanation:
A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.
Someone pls help me :c tysm if u do :))
Answer:13
Step-by-step explanation: Your going up on the number line.
Hope I was able to help! :)
Please help!!
9.(05.02)
Solve the following system of equations: (5 points)
x - 2y = 5
2x - 4y = 10
Infinitely many solutions
No solutions
(0, 0)
(5, 10)
Answer:
Infinite solutions
Step-by-step explanation:
If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.
Step-by-step explanation:
infinitely many solutions :)
1,200 plus what equals what??
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
I NEED HELP PLEASE!!!!!!
Answer:
Step-by-step explanation:
Two angles are alternate and has same measurement because line l and line m are parallel so to find x:
4x - 50 = 2x + 30
4x - 2x = 30 + 50 add/subtract like terms
2x = 80 divide both sides by 2
x = 40
Pls solve.. URGENT!!! Will give brainliest.
EXPLAIN IN STEPS
links will be reported
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Length of each side of each of these three equilateral triangle is :
[tex]1.5 \: \: cm[/tex]Solution is in attachment ~
The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200
Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
Work out the value of 3.14
157/5....................
over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account
Answer:
.03 or 3%.
Step-by-step explanation:
Important:
I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
Given:
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
Therefore it .03 or 3%
Solve 2x^2-3x-5=0 with the quadratic formula please and have a bless day
Answer:
( 2x^62- 3x) - 5 = 0
2x^62 - 3x - 5 = 0
X = - 1
- 5/2
The it is my dear friend
english 3 hhhhhhhhhheeeeeeelllllllllllllllllppppppppppp me
Answer:
the answer is: A
because deduce means to arrive at a fact or conclusion by reasoning.
also because the correct word you would use In option A is reduce.
plz help me im stuck
What is the integral of x?
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The integral of x is :
[tex] \dfrac{x {}^{2} }{2} + c[/tex]write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
pls help me with this if you can
1) Let L = the larger # and S = the smaller #.
A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S
Their sum is 80...This gives Eq 2) L + S = 80.
Substitute Eq 1) into Eq 2), you get
L + S = 80
5 + 2S + S = 80
3S = 75
S = 75 / 3 = 25
L = 5 + 2S
= 5 + 2(25)
= 5 + 50
= 55
-----------------------------------------------------------------------------------------------------------------
2) [-7,2)
- Vocabulary
· Interval
A set of values between two endpoints.
· Inequality
A mathematical expression which shows that two quantites are not equal.
Answer:
1) x = 25
2) 2(25)+5 = 55
-12<= x < 6
x <2 and x <= -7
Step-by-step explanation:
1) x
2) 2x + 5
x + 2x + 5 = 80
3x = 80 - 5
x = 75/3
x = 25
-24 <= 2x - 10
-24+10 <= 2x
-14/2 <= x
-7 <= x
2x -10< -6
2x < - 6 + 10
x < 4/2
x < 2
What is the slope passing through the points (11,-5) and (1,20)
Answer:
-2.5 or -5/2
Step-by-step explanation:
To find the slope we need to find the change in y and divide it by the change in x:
m = change in y ÷ change in x
m = (-5 - 20) ÷ (11 - 1)
m = 25 ÷ -10
m = -2.5 or -5/2
Hope this helps!
The denominator of a fraction is 4 more than its numerator. If the fraction equals 1/3, what is the fraction?
Answer:
Hello,
Here is your answer:
2/6