Answers
Answer:
[tex]m = \frac{10}{6}[/tex]
Step-by-step explanation:
Slope can be found by using the following equation. Note that [tex]m[/tex] is slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-3 , -5)\\(x_2 , y_2) = (3 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-5)}{3 - (-3)}[/tex]
Note that when two negative signs are directly next to each other, they become a positive. Add across:
[tex]m = \frac{5 + 5}{3 + 3} = \frac{10}{6}[/tex]
[tex]m = \frac{10}{6}[/tex]
~
Related Questions
Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the independent variable is ________________.
a.
advertisement venue
b.
number of customer calls
c.
bed and breakfast establishment
d.
number of reservations
e.
travel website
Answers
A. Advertisement venue
There are 47 photos in the blue album the blue album has 32 more photos than the red album. How many photos are in the blue album?
Answers
Answer:
15
Step-by-step explanation:
There are 47 photos in the blue album
The blue album has 32 nore photos than the red album
Therefore the number of photos in the red album can be calculated as follows
= 47-32
= 15
Hence there are 15 photos in the red album
Raul is considering three different
Answers
Answer:
WHAT?!
Step-by-step explanation:
Molly is going to buy a car. This table shows the cars available.
1
Car Color
Price of Car
Cost of Options
2
Blue
$18,790
$625
3
Red
$17,490
$425
Gold
$19,678
no options
White
$18,650
$525
The
car is the most expensive.
O blue
O cold
Type here to search
O
H
Answers
Answer:
Gold
Step-by-step explanation:
Add up the cost of the car plus any options to find the most expensive car. In this case, even with no options to add, the gold car is still the most expensive.
Parallel lines
Answers
Answer:
K & M
Step-by-step explanation:
K & M are parallel lines because they are straight and they can't touch each other.
Hope this helped!
(x - 1) is a factor of the following, what are the remaining 2 factors:
Answers
Answer:
(x +(-2) ) and ( x+3)
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
Step-by-step explanation:
Step(i):-
Given that x³ - 7x + 6=0
f(x) = x³ - 7x + 6=0
put x=1
f(1) = 1 -7 +6 =0
(x -1 ) is one factor of given polynomial
By using synthetic division
x³ x² x constant
x=1 ║ 1 0 -7 6
║ 0 1 1 -6
1 1 -6 0
The polynomial ( x² + x - 6) =0
Step(ii):-
The factors of
x² + x - 6=0
x² + 3x -2x - 6=0
x ( x +3 ) - 2( x +3) =0
(x -2 ) ( x+3 ) =0
x = 2 and x =-3
Final answer:-
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
find the x and y intercept
x-2y=6 step by step
Answers
Answer: x-intercepts = (6,0) y-intercepts = (0,-3)
Step-by-step explanation: The answer shown is accurate. Hope it helps.
Nancy buys 2 large pizzas for her brother’s birthday party. The girls eat 7/8 and the boys eat 5/8 Nancy says that 1 1/2 are left is she correct
Answers
Answer: Nancy is correct because 7/8 is close to benchmark 1 and 5/8 is close to benchmark 1/2 and 1 + 1/2 = 1 and 1/2
Step-by-step explanation:
9855 -45
9855 dived by 45
Answers
Answer: 9855-45 is 9810
Step-by-step explanation:
9855 divided by 45 is 219
Andrew wants to buy 3 video games that are $50 each. He earns $80 a week. In how many weeks will he have enough money to buy the games?
Answers
Answer:2 Weeks
Step-by-step explanation:
Hope this helps
Answer:
2 weeks
Step-by-step explanation:
3 * $50 = $150
he needs at least $150 for the games
after 1 week he has $80---not enough
after 2 weeks he has $160---enough
Three coins are tossed. Let the event T = all Tails and the event k = at least one Tails. What is the probability that the
outcome is all tails is at least one coin shows a tails?
A. 1/8
B. 1/7
C.7/8
D.7/64
Answers
Answer:
1/8
Step-by-step explanation:
If three coins are tossed, you have a 50% chance that 1 coin will land on Tails. You will have a 25% chance that 2 coins will land on Tails. You will have a 12.5% chance that 3 coins will land on Tails.
On the summit of a mountain, rising 784 1/5 meters from sea level, is put a tower rising a height of 38 1/25 meters. On the roof of this tower is a lightning rod with a height of 3 4/5 meters. At what height above sea level is the very top of the lightning rod?
Answers
Answer: 826 1/25 meters
Step-by-step explanation:
trust me I know
Answer:
825 1/25
Step-by-step explanation:
Just add all the fractions up: 784 1/5 +38 1/25+3 4/5= 825 1/25
If it is 5 miles to the nearest store, and my dad walks 4 mp/h, why has it taken him 14 years to come back?
Answers
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answers
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
An airline finds that if it prices a cross-country ticket at $400, it will sell 300 tickets per day. It estimates that each $10 price reduction will result in 30 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.
Answers
Answer:
$300, 400 tickets
Step-by-step explanation:
let x= number of price reduction
let us solve for p(x), the price per ticket with x reductions
p(x)= 400-10x dollars
Also, q(x), the number of tickets sold with x reduction
q(x)=300+10x tickets
we know that revenue
R(x)= p(x)*q(x)
substitute
R(x)= (400-10x)*(300+10x)
open bracket we have
R(x)= 120000+4000x-3000x-100x^2
R(x)=120000+1000x-100x^2
R(x)'= 1000-100x
R(x)'=0
1000=100x
x=10
R(x)"=-100
R(x)"<0
x= 10 is the maximum
from
p(x)= 400-10x
p(x)= 400-10*10
p(x)= 400-100
p(x)= $300
q(x)=300+10x tickets
q(x)=300+10*10
q(x)=300+100
q(x)=400 tickets
Please help and give the right answer, i’ll give brainliest❤️
Answers
Answer:
1.5
Step-by-step explanation:
6 : 4
4 / 4 = 1
6 / 4 = 1.5
6 : 4 = 1.5 : 1
I need help ASAP giving brainliest!!
Answers
Answer:
9
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
A fair coin is tossed 4 times. Each time it lands heads up. When it is tossed the fifth time, the probability that it will land heads up is
Answers
If a2 = b, which of the following is true?
2b=a
b/a=2
evaluated b=a
b/2=a
PLEASE HELPS ITS URGENT!!!!
Answers
Answer:
b/2=a
Step-by-step explanation:
a2=b
a x (2) = b change to a times 2
/2 /2 - process of elimination from one side
a=b/2 the answer original
b/2=a flipped
WILL GIVE BRAINLYEST
Answers
Answer:
i think its B
Step-by-step explanation:
Answer:
0.8x+4.8y+16
Step-by-step explanation:
PLEASE HELP !!!!!! I DONT UNDERSTAND SO PLEASE SOMONE AT LEAST HELP OR TRY!!!!.
In trapezoid EFGH, EF and HG are the bases. Point J is the midpoint of EHand point K is the midpoint of FG EF=5x+3 , HG=12x−3 , and JK=34 .
What is the value of x?
_______________________
In rectangle FGHJ , the diagonals intersect at point M, FM=3.2x , and JG=40 .
What is the value of x?
Enter your answer as a decimal in the box.
Answers
Answer:
The first x = 4
The second x = 6.25
Step-by-step explanation:
For the first question. We need to make use of the midsegment theorem which says, if you have a trapezoid with base1 and base2, then the midsegment is given as:
(Base1 + Base 2)/2.
We are given Base 1 = 5x + 3 and Base 2 = 12x – 3 and the midsegment, JK = 34. To find x we have:
(5x + 3 + 12x – 3)/2 = 34
This gives: 17x/2 = 34.
Therefore, x = (34 x 2)/17 = 4. Thus, x = 4.
As for the second question, we have two diagonals of the rectangle, FH and JG. We are given that JG = 40. We know that the diagonals of the rectangle are equal, therefore FH = 40 as well.
We are told that M is the midpoint, meaning FM is half of the diagonal FH. Mathematically this can be written as:
FM = FH/2
Given that FM = 3.2x and FH = 40, we have:
3.2x = 40/2
3.2x = 20
x = 20/3.2
x = 6.25
Ailani draws a map of her local town. She places the town hall at the origin of a coordinate plane and represents a lake
with a circle drawn on the map. The center of the lake is 19 miles east and 3 miles south of the town hall, and the
radius of the lake is 0.5 miles.
If the positive x-axis represents east and the positive y-axis represents north, which equation represents the lake?
O (x + 19)2 + (y - 3)2 = 0.5
O (x – 19)2 + (y + 3)2 = 0.5
O (x + 19)2 + y - 3)2 = 0.25
O (x - 19)2 + ( + 3)2 = 0.25
T
Answers
The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The equation for a circle is given as:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
The center of the lake is 19 miles east and 3 miles south, i.e. (-19, -3) and the radius is 0.5 miles.
The equation of the lake is:
(x - (-19))² + (y - (-3))² = 0.5²
(x + 19)² + (y + 3)² = 0.25
The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
Answer: D. [tex](x-19)^2+(y+3)^2=0.25[/tex]
Step-by-step explanation:
Let's review what we know:
the lake is circularthe town hall is at the originthe center of the lake is 19 miles east of the origin and3 miles south of itthe radius of the lake is 0.5 milesA circle can be depicted on the coordinate plane with the equation [tex](x-h)^2+(y-k)=r^2[/tex], where:
(h, k) is the center of the circleand r is the radius of the circle19 miles east of the origin would be 19 units to the right of the origin on the coordinate plane, as east is the rightwards direction in real life. In short, h = 19.
Let's plug in that value: [tex](x-(19))^2+(y-k)^2=r^2[/tex].
So we know that the x-coordinate defining part of the equation would have to be [tex](x-19)^2[/tex].
Meanwhile, 3 miles south of the origin would be modeled as three units underneath it, because south would be considered "downwards". The y-value (k) would be negative 3.
Putting what we have so far together, the center of the circle would be (19, -3).
Therefore, the y-coordinate defining part of the equation would be [tex](y+3)^2[/tex].
Here's what the equation looks like with the work we've completed so far: [tex](x-19)^2+(y+3)^2=r^2[/tex]
Finally, let's plug in the radius value 0.5.
0.5 * 0.5 = 0.25
Ailani would use the equation [tex](x-19)^2+(y+3)^2=0.25[/tex] to model the lake in relation to the town hall. I hope that makes sense!
what is the lowest common multiple of 1/2and 1/4
Answers
Answer:
1/2
Step-by-step explanation:
If a triangle has side lengths a, b, and c and a² + b2 = c?, then the triable is a........ triangle
Answers
activity 8.counting the roots of polynomial equation
by inspection determine the number of real roots of each polynomial equation. Roots multiply n are counted n times
1.(x-4)(x+3)^2(x-1)^3=0
2.x^2(x^3-1)=0
3.x(x+3)(x-6)^2=0
4.3x(x^3-1)^2=0
5.(x^3-8)(x^4+1)=0
patulong po plss.
....
Answers
Answer and Step-by-step explanation:
A root is considered a real root if it is not an imaginary number (a number in the form of a + bi, where i is a number that is not on the real number line, hence the name: imaginary). Let's inspect the given polynomials.
1. (x-4)(x+3)^2(x-1)^3=0, the equation implies
x – 4 = 0 or (x + 3)^2 = 0 or (x – 1)^3 = 0, this gives:
x = 4
x = –3 twice
x = 1 thrice
They are all real numbers, therefore it has 6 real roots.
2. x^2(x^3-1)=0
x² = 0
x³ – 1 = x³ – 1³ = (x – 1)(x² + x + 1) = 0
The quadratic expressions gives 2 imaginary roots. To check this we can use the determinant formula.
D = b² – 4ac = 1² – 4(1)(1) = 1 – 4 = –3 < 0. This gives roots that are not real.
Therefore the real roots of this polynomial are: 0(twice) and 1. Hence, it has 3 real roots.
3. x(x+3)(x-6)^2=0
x = 0
x = 3
x = 6 twice
Thus, it has 4 real roots.
4. 3x(x^3-1)^2=0
3x = 0 and this gives x = 0
(x^3 – 1)² = [(x – 1)(x² + x + 1)]² = (x – 1)²(x² + x + 1)² = 0, only two roots are real here (the quadratic expression has unreal roots, therefore 1 twice are the real roots).
Therefore, this has 3 real roots.
5. (x^3-8)(x^4+1)=0
x³ – 8 = x³ – 2³ = (x – 2)(x² + 2x + 4) = 0
The only real root here is 2, the quadratic expression had imaginary roots and can be checked using the determinant formula
D = b² – 4ac = 2² – 4(1)(4) = 4 – 16 = – 12 < 0.
x⁴ + 1 = 0 has imaginary roots. Therefore, this polynomial has only one real root.
Class A has 11 pupils and class B has 20 pupils.
Both classes sit the same maths test.
The mean score for class A is 74.
The mean score for class B is 32.
What is the mean score (rounded to 1 DP) in the maths test across both classes?
Answers
Answer:
11(74)+20(32)=1454
1454÷31=46.9
solve the inequality 4x - 1 > 15
Answers
Answer:
x>4 is the solved inequality
Step-by-step explanation:
4x-1>15
4x>16
x>4
Answer:
hey mate here is ur answer:--------------------------------------------------4x-1>15x>4 is solved inequality 4x-1>154x>16x>4I hope this helps you have a nice day ❤✌☘On a coordinate plane, how are the locations of the points (-99) and (-99) related?
СА. reflection across the y-axis
B. locations unrelated
reflection across both axes
D.
reflection across the x-axis
Answers
Answer:
A. Reflection across the y-axis
Step-by-step explanation:
Solve each equation. Check your solution.
–3b + 7 = –15 + 2b
Answers
Decimal form: b= 4.4
Mixed number form: b= 4 2/5
Answer:
Solution:
[tex]b = \frac{22}{5?} [/tex]
Step-by-step explanation:
Rearrange terms:
[tex] - 3b + 7 = - 15 + 2b [/tex]
[tex] - 3b + 7 = 2b - 15[/tex]
subtract 7 from both sides of the equation:
[tex] - 3b + 7 = 2b - 15[/tex]
simplify:
subtract the numbers
⬇️
⬇️
[tex] - 3b = 2b - 22[/tex]
subtract ⬇️ from both sides of the equation
[tex]2b[/tex]
[tex] - 3b = 2b - 22[/tex]
[tex] - 3b - 2b = 2b - 22 - 2b[/tex]
simplify:
⬇️combine like terms
⬇️combine like terms
[tex] - 5b = - 22[/tex]
divide both sides of the equation by the same term:
[tex] - 5b = - 22[/tex]
[tex] \frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?} [/tex]
simplify:
⬇️cancel terms that are in both the numerator and the denominator
⬇️divide the numbers
[tex]b = \frac{22}{?5} [/tex]
10k - 60 = 180
solve for k
Answers
Answer:
K=24
Step-by-step explanation:
Add 60 on both sides
10k=240
Now divide 10 on both sides
240/10=24
10/10k=k
k=24
