Answer:
The two factors are (x + 3) and (x - 8)
Step-by-step explanation:
The given function is x² + b·x - 24
The difference between the factors = 11
The sign of coefficient b = Negative
Therefore, we have;
The factors as (x - c) and (x + d)
-b = d - c...(1)
d × (-c) = -24...(2)
(x + d) - (x - c) = 11
Which gives;
x + d - x + c = 11
∴ d + c = 11...(3)
From equation (3), we have;
d = -24(-c) = 24/c
d = 24/c
Substituting the value of d in equation (3) gives;
d + c = 24/c + c = 11
24/c + c = 11
∴ c² + 24 = 11·c
c² + 24 - 11·c = 0
c² - 11·c + 24 = 0
(c - 8)·(c - 3) = 0
c = 8 or 3
From d + c = 11, we have, d = 3 or 8
Given that -b = d - c, therefore c > d and c = 8, d = 3
Therefore, the two factors are (x - 8) and (x + 3).
Segments AB and CD intersect to form an angle of 89 degrees as shown. What is the measure of <2
Answer:
180-89= 91
Step-by-step explanation:
Answer:
2 = 91
Step-by-step explanation:
Angle 2 and the 89 degree angle are supplementary (They both add up to 180) because they form a straight line. So, you would do as follows:
180 - 89 =
91
At noon, a tank contained 5 in. of water. After several hours, it contained 4 in. of water. What is the percent decrease of water in the tank?
Answer:
20%
Step-by-step explanation:
4 is 80% of 5, so all we need to do is find out what percent is left after 80%, 20%, and then that would be how much it decreased
help me quickly. ratioss
Answer:
8
Step-by-step explanation:
When the value of x is 3, what is the value of y?
Answer:
I need more info please
SORRY THAT ITS UPSIDE DOWN BUT CAN YALL DO THIS FOR ME ITS DUE IN A HOUR
Answer: y=-6
Step-by-step explanation: I tried a few combinations and the distance was 17 if y=-6
12= 2x + 2
Solve for X
Answer:
x=5
Step-by-step explanation:
hope you have a great day!
Answer:
x = 5
Step-by-step explanation:
minus 2 from both sides. so you get
10 = 2x.
divide by 2 on both sides to get
x = 5
The sun heats surface water through __________.
Answer: Evaporation
Step-by-step explanation: The sun heats surface water through evaporation.
Find A u B, step by step isnt needed
Answer:
I think it might be C
Step-by-step explanation:
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *
Answer: Required euqtaion: 3000+100x = 5400+70x
Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80
Step-by-step explanation:
Let x= Number of meals.
For Lyme Point Inn, cost for x meals = 100x
Total cost = 3000+100x
For Ever After Farm, cost for x meals = 70x
Total cost = 5400+70x
When both cots same, then
3000+100x = 5400+70x
⇒ 100x-70x= 5400-3000
⇒ 30x=2400
⇒ x= 80
Hence, the number of meals at which the total cost charged by the two venues would be the same. =80
Help!!!! Please!!!!!
Answer:
j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,
Step-by-step explanation:
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?
Answer:
use slope intercept form to write the equation y=mx+b m (slope of the line) will be the hourly fee, and b (y-intercept) will be the one-time transportation fee.
y=30x+20
to find the cost of renting a canoe for 6 hours, plug 6 into the equation replacing x
y=(30×6)+20
y=180+20=$200
Sorry, I can't graph the line, but I would number the x-axis of the coordinate plane (graph) by 1s or 2s (for the hours), and the y-axis by 20s (for the cost
Step-by-step explanation:
| 4r + 20 | = 28
help ASAP
Answer:
r = 2
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
Please help me I don’t understand this at all
Answer:
Step-by-step explanation:
B: 8.5 inch by 5.5 inch
C: 4.25 inch by 5.5 inch
D: 4.25 inch by 2.75 inch
E: 2.125 inch by 2.75 inch
Which equation describes the line parallel to y = –7x + 15 that contains P(9, –6)?
any help?
Given h(x) = -X – 1, solve for x when h(x) = 0.
Answer:
X=-1
Step-by-step explanation:
h(x)=0
-X-1=0
-X=1
X=-1
Help ASAPPP PLEASE AND THANK YOU
Answer:
D
Step-by-step explanation:
this is a true or false thing for geometry
Help find missing angles
Answer: s=45 and r=45
A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it including the gates, is 200 feet long.
Answer:
The area is 240² ft.
Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(
Answer: I believe this is the anwser key
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Given the system of equations below, Identify the number of solutions.
x + 9y = 1
2x + 18y = -16
Question 3 options:
No Solution
Infinitely Many Solutions
3 Solutions?
One Solution
Answer:
no solution
Step-by-step explanation:
u can see: 2x + 18y = -16
=> x + 9y = -8
but x + 9y =1
so it is unreasonable
In ΔHIJ, \text{m}\angle H = (4x+1)^{\circ}m∠H=(4x+1) ∘ , \text{m}\angle I = (2x-6)^{\circ}m∠I=(2x−6) ∘ , and \text{m}\angle J = (6x-7)^{\circ}m∠J=(6x−7) ∘ . Find \text{m}\angle J.M∠J.
Given:
In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .
To find:
The m∠J.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In ΔHIJ,
[tex]m\angle H+m\angle I+m\angle J=180^\circ[/tex] [Angle sum property]
[tex](4x+1)^\circ+(2x-6)^\circ+(6x-7)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
[tex]12x-12=180[/tex]
Add 12 on both sides.
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=16[/tex]
Now,
[tex]m\angle J=(6x-7)^\circ[/tex]
[tex]m\angle J=(6(16)-7)^\circ[/tex]
[tex]m\angle J=(96-7)^\circ[/tex]
[tex]m\angle J=89^\circ[/tex]
Therefore, the measure of angle J is 89 degrees.
how to round 10.71428571 by the nearest ten.
Answer:
Well if it is rounding to the nearest 10 it is 10
but if you meant round to the nearest 10th then it is 10.7
Step-by-step explanation:
For 10 you look at the ones place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10
FOr 10.7 look at the hundredths place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10.7
Hope this helps!
-45 divided by 9 , show your work
Answer:
9 can go into -45 5 times becuase 5 times 9 is 45 but because it is a negative number the answer will be -5 because a negative and a positive =a negative does this help? :)
Step-by-step explanation:
Consider 2^1, 2^2, 2^3, 2^4,2^5,... look for a pattern, and hence find the last digit of 2^111
Answer:
2.5961484293×10^13Step-by-step explanation:
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^111 = 2.5961484293×10^13
Hope this helps! <3
Twinkle toes tony kick the football and it landed 100 feet from where he kicked it also reach a maximum height of 125 feet write an equation that models the path of the ball while it was in the air
Answer:
The equation that models the path of the ball is y = 5·x - 0.05·x²
Step-by-step explanation:
The given information are;
The distance the football landed from where it was kicked = 100 feet
The maximum height the football reached = 125 feet
The equation that models the path of the ball is that of the equation of parabola in vertex form, given as follows;
y = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex (which is the coordinates of the highest point reached by the ball)
Therefore, taking the x-coordinate of the highest point reached by the ball as midpoint of the horizontal distance moved by the ball, we have;
The x-coordinate of the midpoint of the horizontal distance moved by the ball = (50, 0)
We have;
The coordinate of the highest point reached by the ball = (50, 125)
Therefore;
(h, k) = (50, 125)
Substituting the above values in the equation of the parabola gives;
y = a·(x - 50)² + 125
At x = 100, y = 0, which gives;
0 = a·(100 - 50)² + 125 = a·2500 + 125
0 = a·2500 + 125
a = -125/2500 = -0.05
Therefore, we have;
y = a·(x - h)² + k = y = -0.05 × (x - 50)² + 125 = -0.05·x² + 5·x - 125 + 125
y = -0.05·x² + 5·x - 125 + 125 = -0.05·x² + 5·x
y = -0.05·x² + 5·x
The equation that models the path of the ball is y = -0.05·x² + 5·x.
24-10b=9 what is the missing variable equal to
Answer:
b = 1.5
Step-by-step explanation:
Lets first set up the equation:
24 - 10b = 9
Okay now lets add 10b on both sides:
24 = 9 + 10b
Now let's subtract 9 from both sides so we can get the variable b by its self:
15 = 10b
Okay now we can divide each side by 10:
1.5 = b
Answer:
24-10(1.5)=9
b = 1.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
b = 3 /2
Decimal Form:
b = 1.5
10(1.5) = 15
24 - 15 = 9
:)
Which graph could represent this scenario?
Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
Linear! :)
Step-by-step explanation:
Answer:
wheres the gragh?
Step-by-step explanation:
6+6-5x(4•6)=45-23x-13
Which one?
A. B. C or D?
Answer:
D
Hope this helped!
Happy Halloween!
