Write the quadratic equation in factored form. Be sure to write the entire equation. x2 - 5x - 24 = 0
Answers
x² ⇒ x * x ⇒ (x + __) (x - __)
24 ⇒ 8 * 3
-5 ⇒ - 8 + 3
(x - 8)(x + 3) = 0
x(x+3) - 8(x+3) = x² + 3x - 8x - 24 = x² - 5x - 24
(x-8) = 0
x = 8
(x+3) = 0
x = -3
Answer:
Step-by-step explanation:
The standard quadratic equation is
Given quadratic equation:-, here a=1, b= -5, c= -24
Now, factorize given functions, first find two numbers that multiply to give ac and add to give b
ac=1×-24= -24
After checking factors of -24 we found -8 and 3 which multiply to give -24 and add to give -5
Rewrite the equation by writing -5 as sum of -8 and 3, we get
Related Questions
Lisa gives child(x) and adult(y) haircuts in her salon. She charges $10 for a child and $40 for an adult haircut. Her goal is to make at least $1000 per week and work no more than 40 hours. The shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. If Lisa gives 60 child haircuts she must give _____ adult haircuts to meet her goal.A: 10 B: 15 C: 20 D: 25
Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and so on. Find the number of hours necessary to fill a rectangular tank 16m x 7m x 7m.
Which expression is equivalent to 5x2 – 8 ?explain
If the nth term of a sequence is 12n+2 what is the 7th term
Round answer to the nearest whole gram.
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To convert 79 oz into grams, we need to begin with a conversion factor for ounces and grams.
1 ounce = 28.4 grams
Next, notice that we are going from a larger unit "ounces" to a smaller unit "grams." When we go from a larger unit to a smaller unit, we multiply.
79 oz × 28.4 ← Conversion factor
2243.6
Therefore, 5 oz = 2243.6 grams
2243.6 rounds to 2,440 grams
thus, 79 oz = 2239.65 g
= 2240 g.
Answers
Answer: The coverage included in an automobile insurance policy that covers property damage is Liability insurance
Step-by-step explanation:
The coverage included in an automobile insurance policy that covers property damage is liability insurance.
Liability insurance is a part of general insurance is also known as "Third party insurance", which is compulsory insurance without this insurance no vehicle can be plied on road , is a system of risk financing to prevent the customer from any lawsuits imposed for any accident.
This is liability insurance, and it covers the damage made by others to your property.
Answers
Answer:
Step-by-step explanation:
Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;
AO+OB = AB
(-OA)+OB = AB
-50+104 = AB
AB = 54
If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5
AP = 54/6
AP = 9
PB = 54-9
PB = 45
Hence the point P is located at 9 units from A and 45 units from B
Answers
The correct answer is D. Made mostly of gas. Hope this helps! :)
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This looks like it leaves SF in IV quadrant and enters LA in II quadrant. The wind will take the plane more to the east (right). Therefore the pilot must aim to the west (left) in order for the wind to push it to the intended destination of LA. The second side of the triangle should come out of LA from the II quadrant bearing 290. The length of this side is 60t (60 km/h * t = time flying). The third side of the triangle connects the first two. There for it comes out of SF at some unknown angle > 140 and connects with the 60t side. The length of this third leg is 640t. (640 km/h * t = time flying). The angle between the 540 side and the 60t side is 30. This is found because the 540 side enters LA in 2nd quadrant as 130 angle . The 60t side enters LA in 2nd quadrant as 160 angle. Using law of sin's: sin 30/640t = sin x/60t. The t's cancel and you are left with sin x = 3/64. When solving for the angle x you get x = 2.6867 degrees. Adding this to the bearing of 140, the compass bearing should be 142.6867 or 142.7 degrees. To find the value of t, you use the law of sin's to get sin 30/640t = (sin (180 - 30 - 2.6867))/540. Solving for t gives you: t = .7811. This is in hours. To convert to minutes multiply by 60 to get t = 46.87 minutes. Add this to the 2pm departure time to get 2:47 pm arrival time.
3,659 in ^3
11,488 in ^3
2,964 in ^3
944 in ^3
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a) A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.
or
b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.
case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
volume of a balloon=(4/3)*pi*r³-----> (4/3)*pi*4.46³----> 371.61 in³
Volume=372 in³
the answer is
372 in³
case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
surface area of a balloon=4*pi*r²-----> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²-------> 250 in²
the answer is
250 in²