Answer:
other root: x = 9
p = 7
Step-by-step explanation:
first, find p:
(8)² - (3p - 4)8 + 11p -5 = 0
64 - (24p - 32) + 11p - 5 = 0 –––––> 64 - 24p + 32 + 11p - 5 = 0
91 - 13p = 0
-13p = -91
p = 7
plug in p to find the polynomial:
x² - (3(7) - 4)x + 11(7) - 5 = 0
x² - (21 - 4)x + 77 - 5 = 0
x² - 17x + 72
find the roots:
we know that 8 is one of the roots, so one factor is (x - 8)
the other number needs to be something that equals -17 when added with -8 and 72 when multiplied by -8
that number is -9
so the poly nomial factors to be: (x-8)(x-9)
so the roots are x = 8 and x = 9
Answer:
p = 7
Step-by-step explanation:
x²-(3p-4)x+11p-5=0 ...(1) Root: 8, x-8 is factor
(x-8) (x- (11p-5)/8) = 0
x² -8x - ((11p-5)/8)*x + (11p-5) = 0
x² - (8 + (11p-5)/8) x + 11p-5 = 0 ----(2)
compare(1) and (2): 3p-4 = 8 + (11p-5)/8
24p - 32 = 64 + 11p - 5
13p = 91
p = 7
check: x²-(3p-4)x+11p-5 = x²- 17x + 72 = (x-8)(x-9)
Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?
Answer:
t ≥ 0.5625
Step-by-step explanation:
Given:
21 + 112t ≥ 84
112t ≥ 84 - 21
112t ≥ 63
t ≥ 63/112
t ≥ 0.5625
t = time in minutes
A circular running track is
1/8
mile long. Elena runs on this track, completing each lap in
1/24
of an hour.
What is Elena's running speed, in miles per hour? Type just the number answer..
Answer:
3 miles per hour
Step-by-step explanation:
Speed is defined as the distance covered per unit time, which can be expressed mathematically as follows;
Speed = Distance/Time
The given parameters are;
The length of the circular running track = 1/8 mile
The time it takes Elena to complete a lap = 1/24 hour
Therefore, we have;
Elena's running speed = The distance Elena completes/(The time it takes Elena to complete the given distance)
∴ Elena's running speed = The 1/8 mile track/(1/24 hour)
[tex]Elena's \ running \ speed =\dfrac{\dfrac{1}{8} \ mile }{\dfrac{1}{24} \ hour } = \left (\dfrac{1 }{8} \times \dfrac{24}{1 } \right ) \ \dfrac{mile}{hour} = \dfrac{24}{8} \ \dfrac{mile}{hour} =3 \ mile/hour[/tex]
Elena's running speed = 3 mile per hour.
help pls I have more
Answer:
Step-by-step explanation:
Answer:
[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]
[tex] \frac{1}{10} \times \frac{8}{3} = \frac{8}{30} = \frac{4}{15} [/tex]
[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]
[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]
[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]
A reporter was shot while driving a moving car. Investigators are unsure if the shooting was random or if it was a targeted attack. A tree blocks the visibility of the street after
65 feet, and would likely have been a random attack if the car was farther away when hit. Because the car continued to move after the driver was struck, investigators need to determine the distance the car was away from the building when the shot occurred. Use the information provided to determine the distance of the car.
Find the scale from the 6 inch height of the triangle on the car to the 30 ft height on the building:
30 feet = 30 x 12 = 360 inches.
360 inches / 6 inches = 60
The scale is 60
Now multiply the base of the triangle on the car by 60 to get the distance of the car from the building:
15 inches /12 inches = 1.25 feet
1.25 feet x 60 = 75 feet.
The car was 75 feet from the building.
Answer:The car was 75 feet from the building.
Step-by-step explanation:
Select the correct text in the passage.
Which sentence in this excerpt from Jack London’s "To Build a Fire" best shows that the main character regrets his foolish decision to take risks and ignore what others have told him?
The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice. Already all sensation had gone out of his feet. To build the fire he had been forced to remove his mittens, and the fingers had quickly gone numb. His pace of four miles an hour had kept his heart pumping blood to the surface of his body and to all the extremities. But the instant he stopped, the action of the pump eased down. The cold of space smote the unprotected tip of the planet, and he, being on that unprotected tip, received the full force of the blow. The blood of his body recoiled before it.The blood was alive, like the dog, and like the dog it wanted to hide away and cover itself up from the fearful cold. So long as he walked four miles an hour, he pumped that blood, willy-nilly, to the surface; but now it ebbed away and sank down into the recesses of his body. The extremities were the first to feel its absence.His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze. Nose and cheeks were already freezing, while the skin of all his body chilled as it lost its blood.
Answer:
His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze.
Step-by-step explanation:
I did the test on edmentum and got it right !!!
Answer: The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice.
Step-by-step explanation:
mark on brainlist
pls help me find the absolute value of these
thanks in advance for any help.
Answer:
The absolute value or modulus of a real number x (denoted by |x| ) , is the non-negative value of x without regard to its sign.
3) |0| = 0
6) |-7| - |4|
=> 7 - 4 = 3
9) - | -101 | = -101
12) |8| - |-7|
=> 8 - 7 = 1
Simplify 3a2 + 4b + 2a2
a2+4b
5a2+4b
It is simplified
9a2b
Show how to rewrite 1/2 with the denominator 10.
Answer:
5/10
Step-by-step explanation:
2 x 5 = 10
you will do the same thing to the top
1 x 5 = 5
so 5/10 = 1/2
pls help I hate math rectangular prism
Answer:
[tex]352.5cm^{2}[/tex]
Step-by-step explanation:
[tex]A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}[/tex]
4a + 3b - 2a - 6b
.. help lol
Answer:
2a-3b
Step-by-step explanation:
Answer:
2a-3b
Step-by-step explanation:
Combine like terms,
4a-2a, 3b-6b
2a-3b
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times. He will use the same amounts of plant food as before . How much plant food will he need? Does he have enough left to do so/ explain your answer using words or numbers
Answer:
He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time
Step-by-step explanation:
On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.
Total food bought = 4 1/2 kg
Strawberry feed = 1 2/3 kg
Tomato feed = 1/4 kg
Total food used on Sunday = Strawberry + tomato
= 1 2/3 + 1/4
= 5/3 + 1/4
= (20+3)/12
= 23/12 kg
Total food remaining after Sunday = Total food bought - used food
= 4 1/2kg - 23/12kg
= 9/2 - 23/12
= (54-23)/12
= 31/12 kg
= 2 7/12 kg
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.
Strawberry = 2 × 1 2/3kg
= 2 × 5/3
= 10/3 kg
Tomato = 1 × 1/4kg
= 1/4 kg
Total food needed to feed strawberry two more times and tomato 1 more time
= 10/3 kg + 1/4 kg
= (40+3)/12
= 43/12 kg
= 3 7/12 kg
He will need 3 7/12 kg of food
He has 2 7/12 kg of food left
Therefore, he doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time
Find 15· 2 2/3 using the Distributive Property.
Answer:
12.67
hope it's helpful ❤❤❤
THANK YOU.
4 pts
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
6
16
y +1
12
21
24
32
O x = 9
O x = 10
X = 8
11
2
Answer:
x = 9
Step-by-step explanation:
Corresponding sides are in proportion. That means that [tex]\frac{x - 1}{6} = \frac{16}{12}[/tex]
12x - 12 = 96
12x = 108
x = 9
By the way, the scale factor is 16/12 = 4/3
The value of x of a polygon is :
x= 9.
"Polygons"The polygons are similar, so the corresponding sides are in proportion.
x-1/6=16/1212x - 12 = 9612x = 108x = 9Or By the scale factor is 16/12 = 4/3.
Learn more about "Polygon"
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Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median
Answer:
it will option A. Altitude hope it helps
The segment AD in the given triangle describes as Altitude.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle ABC.
Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.
Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.
Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.
Median is the line segment joining the vertex with the mid point of the other side.
Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.
So it is altitude.
Hence the given segment is altitude.
Learn more about Altitudes of Triangles here :
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A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? *
Answer:
green 9/20 chance | red 6/20 or reduced 3/10
Step-by-step explanation:
if f(x)=2x^2-5, then what is the remainder when f(x) is diode by x-1
After performing division, the remainder obtained will be equal to -7.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given equation for division in the question,
2x² - 5 is divided by x - 1.
x - 1) 2x² - 5 ( 2x - 2
2x² - 2x
= -2x - 5
-2x + 2
= -7
So, the quotient obtained is 2x - 2 and the remainder is -7.
To know more about arithmetic operations:
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PLEASE HELP!!!!!!! DESPERATE!!!!
Simplify the expression to a + bi form:
√81+√-6-√64+√-150
PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!
Answer:
It's A
Step-by-step explanation:
It is A because your adding and going up.
Answer:
c. [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
b = time spent reading
a = pages (book length)
Dividing the time spent reading by the number of pages in the book would result in getting an average reading speed of pages read per minute.
How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to
get 7 gallons of 2% milk?
Answer:
2.8 gallons 0.5% milk
4.2 gallons 3% milk
Step-by-step explanation:
let 'x' = .5% milk
let 'y' = 3% milk
System of Equations:
x + y = 7
.005x + .03y = 7(.02)
I used the substitution method and solved the first equation for y: y = 7 - x
.005x + .03(7 - x) = .14
.005x + 0.21 - .03x = 0.14
-0.025x + 0.21 = 0.14
-0.025x = -0.07
x = 2.8
7 - 2.8 = 4.2
y = 4.2
Mr.Lee bought 4 tires for his car,and he paid P10,000 pesos.How much would cost if he only bought 2?
Answer:
P5000pesos
Step-by-step explanation:
Given data
Cost of 4 tires is P10,000 pesos
we want to find the cost of two tires
Hence if 4 tires cost P10,000 pesos.
2 tires will cost x
cross multiply we have
4x= 10,000*2
4x= 20000
x= 20000/4
x= P5000pesos
Hence two tires will cost P5000pesos
Please write a 5 sentence summary of fidel castro's life
Answer:
Fidel Castro, in full Fidel Alejandro Castro Ruz, (born August 13, 1926, near Birán, Cuba—died November 25, 2016, Cuba), political leader of Cuba (1959–2008) who transformed his country into the first communist state in the Western Hemisphere. Castro became a symbol of communist revolution in Latin America. He held the title of premier until 1976 and then began a long tenure as president of the Council of State and the Council of Ministers. He handed over provisional power in July 2006 because of health problems and formally relinquished the presidency in February 2008.
Step-by-step explanation: Hope it helps! Please rate brainliest
3+3 lol this is just to give extra points you know hope you guys help me with the actual one
Josh buys a shirt on sale for $63. The original price of the shirt was $90. What percentage did he pay for the shirt
He got the shirt for 30% off
Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?
Answer:
Angela is 13 years old and Angela's aunt is 41 years old.
Step-by-step explanation:
With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:
x=3y+2, where:
x is Angela's aunt age
y is Angela's age
Also, you know that the total of their ages is 54, which is:
x+y=54
Now, you can replace x=3y+2 in x+y=54 and solve for y:
3y+2+y=54
4y=54-2
4y=52
y=52/4
y=13
Finally, you can replace the value of y in x=3y+2 to find x:
x=3(13)+2
x=39+2
x=41
According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.
what is a quadrant in math
A quadrant is one of the 4 divided areas of a coordiante plan.
Which perfect square lies between the whole numbers 40 and 50?
Answer:
The perfect square number between 40 and 50 is 49 which is a square of 7.
HELP NEEDED ASAP! GIVING BRAINLIEST
Answer:
C (u=5)
B ( angle 4)
Step-by-step explanation:
The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:
Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.
The average cost approaches to 12 when the number of shirts increases.
Step-by-step explanation:
Since we have given that
Initial cost for a steamer to apply the declas = $100
Cost of material for each shirt = $12
Function representing the band's average cost per t-shirt after x t-shirt are sold is given by:
We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,
For vertical asymptotes , we will make denominator equal to zero.
So, it will be
Thus, vertical asymptotes is x= 0.
Similarly,
For horizontal asymptotes, we first check the degree of both numerator and denominator.
Since we can see that both have the same degree i.e. 1.
So,
So, the horizontal asymptotes is y = 12.
When the number of shirts increases ,The average cost to make a T-shirt approaches is given by
Hence, the average cost approaches to 12 when the number of shirts increases.
Answer:
The vertical asymptote is x = 0
The horizontal asymptote is y = 12
The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.
Step-by-step explanation:
A taxi travels 2 hours to make a 220 km trip. How fast does it travel?
Answer:
= 110 km/h
Step-by-step explanation:
speed = km / 1 hr
distance = 220
time = 2 hrs
speed = 220 / 2 = 110 km/h
(Hope its right!)
3. A principal orders 2,592 pencils. She gives an equal amount to each of
the 24 teachers. How many pencils does each teacher receive?