f(x)=(x-1)(x+2)(x-2) over all it equals to zero
Answer:
(x-1) (x-2) (x+2)
Step-by-step explanation:
1. Factorice x^2 y -4 de la expresion.
x^2(x-1) -4(x-1)
2. Luego, debemos de factorizar x-1 de la expresion.
(x-1)(x^2 -4)
3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.
(x-1) (x-2) (x+2)
. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?
[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]
Answer:
[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
Melanie is walking a path around a circular path to view all of the artwork painted on the cement edge. The circular fountain has a radius of 30 feet. If Melanie only walked around the fountain once, how far did she travel?
How would you go on dividing 7/893
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
Pleaseee answer fast!!!! Solve the system of equation: y= 7/2x-3 and y= 7/2x +3
Answer:
The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.
Answer:
No solution.
Step-by-step explanation:
Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.
Thus, we have 7/2x-3=7/2x+3
(7/2)x-6=(7/2)x
x-6=x
-6=0
This is a false statement, so therefore this system of equations has no solution.
However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to a system of equation is the intersecting point, but as we know about parallel lines they never intersect!
Hope this helps!
City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?
Answer: 385 tickets
Step-by-step explanation:
From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:
= 55% of 700
= 55/100 × 700
= 55 × 7
= 385 tickets
385 tickets were sold for the Saturday show.
Answer:
ITS IS A= 385
Step-by-step explanation:
Which fraction is less than the fraction represented by the model?
Answer:
fraction represented by model = 5/8
fraction less than model = 2/4
The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.
What is a Fraction?A fraction is a number that is the part of the whole.
It is represented in the form of p/q, where q is not equal to zero.
The figure has a circle in which sections have been divided.
There are some shaded sections and some non-shaded sections.
The number of shaded section is 5.
The number of non-shaded section is 3.
The total sections are 8.
The fraction that is represented by the model is 5/8.
The model shown is a visual way to represent and understand fractions.
The fraction = 0.625
The fraction in the options are,
3/4 = 0.75
11/16 = 0.6875
13/16 = 0.8125
2/4 = 0.5
0.5 < 0.625
2/4 < 5/8
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solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answer:
Step-by-step explanation:
The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is
Answer:
27Step-by-step explanation:
Given the formula ui = xi - 25 / 10
Note that the general formula for calculating ui = xi-A/n where;
A = assumed mean
n = class size
On comparison with the given equation, A = 25 and h = 10
Also arithmetic mean x = A + {h * sigma(fiui) /sigma(fi)} where;
sigma(fiui) = 20 and sigma fi = 100
Substituting the given value to get the mean x;
x = 25+ (10*20/100)
x = 25 + (200/100)
x = 25 + 2
x = 27
The arithmetic mean is 27
For which rational expressions is 5 an excluded value? Select two options.
X+5/X-5
x²-5/x² +5
X-3/x² - 25
2 x + 1/x2 + 25
X-5/
x² + 5x
Answer:
first one and the second one.
Step-by-step explanation:
nothing :)
Answer:
this is right
How do i graph the quadratic function f (x)=-(x-3)(x+1)
Answers:
It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)
Explanations:
Given
[tex]f(x)=-(x-3)(x+1)[/tex]
Distribute the (-1) to (x-3)
[tex]f(x)=(-x+3)(x+1)[/tex]
Now let's work the I. O. O. I.
Inside:
[tex](-x)(x)=-x^2[/tex]
Outside:
[tex](-x)(1)=-x[/tex]
Outside:
[tex](3)(x)=3x[/tex]
Inside:
[tex](3)(1)=3[/tex]
Add both the outsides (-x) and (3x) together
[tex]-x+3x=2x[/tex]
Your new equations is now.
[tex]f(x)=-x^2+2x-3[/tex]
Finn's pool leaked a total of 3.5 liters in 4 days. What rational number represents the average change in water volume each day?
Answer:
The rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Step-by-step explanation:
Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.
In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:
[tex]\frac{3.5 liters}{4 days}[/tex]
Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:
[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]
So the rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)
Answer:
D
Step-by-step explanation:
Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too
Answer:
3(2x-1 )(x-5 )
Step-by-step explanation:
6x^2-33x+15
Factor out the greatest common factor
3(2x^2 -11x +5)
Factor inside the parentheses
3(2x )(x )
We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative
3(2x-1 )(x-5 )
2 * -5 + -1 = -10-1 = -11
If you're reproducing a 4 cm x 4 cm picture on a 3 m x 3 m wall, what ratio should you use?
Answer:
So you can divide by 2 for the picture. 4/2 = 2
So you can get 2 x 2 picture. The ratio would be 1
if you have a variable it would always be
x by x.
If you want to cover whole wall multiply by 4/3 on the 4 x 4 picture
The original needs to be scaled up by a factor of 75.
Given that, reproducing a 4 cm × 4 cm picture on a 3 m × 3 m wall.
We need to find what ratio we should use.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
We know that 1 m=100cm, then 3 m=300 cm.
The picture on the wall is (300 cm)/(4 cm) = 75 times as large in each dimension as the original.
Therefore, the original needs to be scaled up by a factor of 75.
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Please I need help with this I’m stuck I need to get it right
Answer:
b
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.
Find the range and the mode for the data.
(a)range:
(b)mode:
Answer:
(a). Range is 6 (b). Mode is 5.75
Step-by-step explanation:
Finding range: Subtract the smallest value (2) from the largest value (8).
Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.
PLEASE HELP MEEEEE ITS VERY UGRENT
Answer:
4.75
Step-by-step explanation:
u = 10 a = -2 t = 0.5 (half)
need to work out u times t add 0.5 times a times t ^2
so 10 x 0.5 + 0.5 x -2 x 0.25
= 4.75
Answer:
s=4.5 m
Step-by-step explanation:
in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.
[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
This would make a right triangle. Use the Pythagorean theorem to solve.
X = sqrt(14^2+ 3^2)
X = sqrt( 196 + 9)
X = sqrt(205)
X = 14.3178
Rounded = 14.3 miles
A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.
Answer:
the answer is B, because triangle BCA is a rotation of triangle XYZ.
Step-by-step explanation:
i need help pls, i would appreciate it !!
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integ
find the perimeter of diameter 3.5 cm
Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.
Step-by-step explanation:
if james is 9years old and his sister rose is 15 years . what is the sum of their ages
Answer:
24 years
Step-by-step explanation:
James Age = 9 years
Rose's Age = 15 years
Sum of their Ages = 9+15
Sum of their Ages = 24 years
Can someone please explain what I did wrong here? Thank you!
Answer: The total number of ways is wrong. Since there is 12 members, each of them could be the president, vice president, etc.
Step-by-step explanation:
Find the length of the third side to the nearest tenth.
5
1
Answer:
square root of 26 (sorry couldn't get the symbol)
Step-by-step explanation:
C^2 = A^2 + B^2 (Pythagoras Theorem)
C^2 = 5^2 + 1^2
C^2 = 26
take square root of both sides
C =
[tex] \sqrt{26} [/tex]
Anyone know the answer
Answer:
3
Step-by-step explanation:
72/9 = 8 ( The quotient of 72 and 9)
8-5 = 3 (Decrease by 5)
While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?
Answer:
55020 metres
Step-by-step explanation:
Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.
To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.
The sum of the distances is:
0.86 + 22.4 + 4.25 = 27.51 km
Multiply by 2:
27.51 * 2 = 55.02 km
1 km = 1000 metres
55.02 km = 55.02 * 1000 = 55020 metres
He traveled 55020 metres while training.
is x^2 + y^2 = 5 a function
Answer:yes
Step-by-step explanation:
How many real number solutions exist for 2x2 + 8x + 8 = 0?
A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help
Answer:
B
Step-by-step explanation:
2x^2+8x+8=0
x^2+4x+4=0
(x+2)^2=0
so B, 1 solution
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1hr 37min 18 sec
Step-by-step explanation:
Jack can mow the baseball grounds in 6 hours
Jack rate = 1/6 job/hr
-------------------------------
Mike can mow the same grounds in 5 hours
Mike rate = 1/5 job/hr
-------------------------------
Chris can mow the grounds in 4 hours.
Chris rate = 1/4 job/hr
-------------------------------
Together rate = 1/x job/hr
----------------------------------
Equation:
rate + rate + rate = together rate
[ 1/6 + 1/5 + 1/4] = 1/x
x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1
----
x(74/120) = 1
x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec