The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.
first, try to understand what is the factor of a quadratic equation.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.
The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.
2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5
3 can be written as 5-2.
2x^2 - 5x + 2x - 5
x(2x - 5) +1(2x-5)
(2x - 5)(x + 1)
So the factors is 2x - 5 = 0 or x + 1 = 0.
2x - 5 = 0 , x = 5/2.
x + 1 = 0 , x = -1.
Given question is incomplete complete question here:
Which of the following is a factor of 2x^2 - 3x - 5?
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The sum of two numbers is -6. Their difference is 36. What is the smallest number?
Let first number be x.
Let second number be y.
According to question,
x+y=36…….(equation 1)
and
x-y=6…..(equation 2)
equation 2 can be written as , x=6+y……(equation 3)
Put equation 3 in equation 1,
6+y+y=36
6+2y=36
2y=36–6
2y=30
y=30/2
y=15
now, put y=15 in equation 1,
x+15=36
x=36–15
x=21
So, numbers are 21 and 15.
Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
Answer:
The total cost of the science class trip to the zoo is $1200
Step-by-step explanation:
The cost of the science class trip to the zoo is $1200, and the cost of Mr. Sexton's class trip to the state park is $1000.
hello please help i’ll give brainliest
Answer:
C.
Step-by-step explanation:
PLEASE BRAINLIESTWhat happens when you log an e?
When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.
For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.
In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.
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How do you write 1 2 as a power of 2?
Answer:
12² = 144
12 to the power of 2 us equal to 144
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
5 times a number,incrased by 8
Answer:
5 × x + 8
Would be the equation you are looking for.
Please hurry it is timed and i need help!
The best option regarding the solutions of the trigonometric equation presented in this problem is given as follows:
A. 60º + n360º, 300º + n360º.
How to solve the trigonometric equation?The trigonometric equation for this problem is defined as follows:
[tex]\cos{x} - \sqrt{1 - 3\cos^2{x}} = 0[/tex]
Then, isolating the cosine, we have that:
[tex]\cos{x} = \sqrt{1 - 3\cos^2{x}}[/tex]
Applying the square for both sides, we have that:
cos²(x) = 1 - 3cos²(x).
4cos²(x) = 1.
cos²(x) = 1/4
cos²(x) = 0.25.
Applying the square root to both sides, we have that:
cos(x) = 0.5.
Meaning that the angle measures of x with the cosine of 0.5 are given as follows:
x = 60º, x = 300º.
(as the cosine is positive on the first and fourth quadrant).
One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option a is correct.
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Q 9-1 Pythagorean Theorem and Trig
A girl is 20 ft. east of her school and her bike is 21 ft. south of the school. How far is she from her bike? Round to the nearest hundredth.
The distance between the girl and her bike is 25.00 ft.
What is distance?Distance is the measure of how far apart two objects, places, or points are. It can be measured in a variety of units, such as miles, kilometers, inches, centimeters, or other units.
The distance between the girl and her bike can be found using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
In this case, the girl is 20 ft. east of the school and 21 ft. south of the school. Therefore, the two sides of the triangle are 20 ft. and 21 ft. and the hypotenuse is the distance between the girl and her bike.
Using the Pythagorean Theorem, the hypotenuse is equal to the square root of (20^2 + 21^2) = 25.00 ft.
Therefore, the distance between the girl and her bike is 25.00 ft.
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You work at an oil refinery and are in charge of draining a tank until the
are 635 gallons left inside. The tank starts with 827 gallons, and you c
drain it at a rate of 48 gallons per minute. How many minutes do you
need to drain the tank to the right level?
You need
minutes.
The width of a rectangle measures (8p+5) centimeters, and its length measures (4p + 4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle
Answer:
Perimeter = 24p + 18 cm
Step-by-step explanation:
Perimeter = 2[(8p+5)+(4p+4)]
simplify:
Perimeter = 16p + 10 + 8p +8
combine like terms:
Perimeter = 24p + 18
The game starts at 1830. They play four eight minute quarters, and half-time lasts for thirty minutes. What time should you tell your parents to pick you up? Give your answer in both 12 and 24 hour clock notation
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
What is time?the idea that time was the fourth dimension and that space and time were therefore inseparably connected. According to his general theory of relativity (opens in new tab), the mass and momentum of adjacent matter influence how much space-time enlarges and compresses.
Here,
Given : The game starts at 18:30
Thus,
They play for eight minutes quarters and half time last for 30 minutes.
So,
To find the time to pick up by your parents:
=> 8*4 + 30
=> 32 + 30
=> 62
Thus time after 62 minutes is 7:32
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
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A container has 2 cups of milk in it. How many 1/4 cups are in the container?
Explain or show your reasoning.
Talia attended a 5-day math camp that lasted 5/6 of an hour each day. How many total hours did Talia spend at math camp?
Answer:
Total hour Talia spend at math camp = 100 hour
Step-by-step explanation:
Given:
Number of days = 5 days
Per hour attended = 5/6 per hour
Find:
Total hour Talia spend at math camp
Computation:
Total number of hour per day = 24 hour
Total hour Talia spend at math camp = Number of days x Per hour attended x
Total number of hour per day
Total hour Talia spend at math camp = 5 x 5/6 x 24
Total hour Talia spend at math camp = 5 x 5 x 4
Total hour Talia spend at math camp = 25 x 4
Total hour Talia spend at math camp = 100 hour
Select the correct answer. which expression is equivalent to this quotient?
An expression which is equivalent to given [tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex] is 5 / (z + 5)
The correct answer is an option (B)
Consider given quotient.
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex]
Consider expression 5z + 15
We can write this expression as 5(z + 3) by taking out the common factor 5.
So given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }[/tex]
As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.
For fraction [tex]\frac{z+3}{5(z+3)}[/tex] , the common term is z + 3.
So, [tex]\frac{z+3}{5(z+3)} = \frac{1}{5}[/tex]
We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,
(a/b) / (c/d) = (a/b) × (d/c)
So, given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}[/tex]
= 5 / (z + 5)
Therefore, an equivalent expression is: 5 / (z + 5)
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Can someone help me with this.
Writing equations from graph
What is a shape called with 1000000000 sides?
Answer:
Regular megagon
Step-by-step explanation:
Regular megagon is a shape called with 1000000000 sides.
PLA HELP WILL MARK BRAINLEST AND GIVE 100 points
Answer:
B) measures of variability
Hope this helped :)
Mike jogged 6 laps around a 0.25 mile track on Tuesday and 7 laps on Thursday. How many miles did he job on Tuesday and Thursday?
Answer: 3.25 miles
Step-by-step explanation:
Given
Mike Jogged 6 laps around a 0.25-mile track on Tuesday
7 laps on Thursday
Miles jogged on Tuesday is [tex]6\times 0.25=1.5\ \text{mile}[/tex]
Miles jogged on Thursday is [tex]7\times 0.25=1.75\ \text{miles}[/tex]
Total miles Jogged is [tex]1.75+1.5=3.25\ \text{miles}[/tex]
a solid metal sphere of volume 1280cubic centimeters
is melted down and recast into 20 equal solid cubes.fund length of the side of each cube
a solid m or a solid m fear of volume
HELP ME ASAP AND I MEAN ASAP
Answer:
9miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find expressions for the possible dimensions of the rectangular prism.
V = 12y3 + 13y2 + 3y
Answer:
Step-by-step explanation:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Answer:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Step-by-step explanation:
it's this write ... comments plz have a nice day
a sum of money is divided among two friends in the ratio 4:11 if the smaller amount is $420, determine the larger amount?
Answer:
1155
Step-by-step explanation:
let the ratio be 4x:11x
4x=420
x=105
11x=11*105
=1155
According to the synthetic division below, which of the following statements are true? Check all that apply.
A. (x+2) is a factor of 5x2-16x + 12.
B. (x-2) is a factor of 5x2-16x + 12.
C. (5x2 - 16x+12) + (x - 2) = (5x-6)
D. (5x2-16x +12) + (x + 2) = (5x-6)
E. The number -2 is a root of F(x) = 5x2 - 16x + 12.
F. The number 2 is a root of F(X) = 5x2 - 16x+ 12.
Answer:
Correct answer just took the quiz
Step-by-step explanation:
The correct option for the given statement is that (x-2) is a factor of [tex]5x^{2} -16x+12[/tex].
What is a factor?It is a number by which the number whose it is a factor can be divided.
How to divide an equation?To check factor of an equation we need to divide it with so to check (x-2) a factor of [tex]5x^{2} -16x+12[/tex] we need to divide the equation by x-2
=( [tex]5x^{2} -16x+12[/tex])/x-2
=5x-6
So it is a factor of the given equation.
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Does parallel programming always improve the performance of an application over sequential programming?
Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.
Explain about working of Parallel programming?Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.
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Subtract 4 from 1/6 of 42
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
42/6 = 7
7 - 4 = 3
Step-by-step explanation:
During lockdown down period people work very puzzled and their decided to play some game firstly they collect the 17 cards and write the numbers 1 to 17 put them in a box people make a bet from the chance of drawing the number either the prime or even number
etc.
From the universal set; N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
Probability of drawing an even or prime number will be 15/17.
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.
N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
Prime = {1,2,5,7,11,13,17}
Even = {2,4,6,8,10,12,14,16}
Pr(Prime) = 7/17
Pr(Even) = 8/17
Pr(Prime or even) = 7/17 + 8/17
Pr(Prime or even) = 15/17
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Can you plase answer the question.
Answer:
I don't understand your language
Step-by-step explanation:
Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. The equation has two real solutions. The equation has no real solutions. D The number of solutions cannot be determined
Answer:
{-1, 5} (two real solutions).
Step-by-step explanation:
On the left side we want x^2, not x?
We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:
x^2 - 4x + 5 = 0
This factors easily to (x - 5)(x + 1) = 0.
We let each factor equal zero (0) separately and solve for x:
{-1, 5} (two real solutions).
70 years later from 1590
Answer: 1660
Step-by-step explanation: 70 + 1590 = QUICK MATHS
Answer:1660
Step-by-step explanation: