Answer:
1) La opción correcta es;
c) 0
2) La opción correcta es;
c) x = 2
Step-by-step explanation:
1) La forma general de una ecuación cuadrática se puede escribir en la forma;
a · x² + b · x + c = 0
Dónde;
a, y b son los coeficientes de x², x y c es el término constante
Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0
De lo que tenemos;
(0) × x² + b · x + c = 0, lo que da;
(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado
Por tanto, la opción correcta es c) 0
2)
La ecuación dada se presenta como sigue;
f (x) = x² - 5 · x + 6 = 0
Usando el método de prueba y error, tenemos;
Cuando x = 0
f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución
Cuando x = 1
f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución
Cuando x = 2
f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución
Cuando x = -2
f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución
Por tanto, la opción correcta es c) x = 2
Mukat has five times as many book as usha.If mukat gave 16 books to usha,they each would have the same number.how many books did each girl have?
Mukat gets 40, Usha gets 8
Step-by-step explanation:
Mukat = 5 × Usha
After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)
Then Mukat = final number of books for Usha
5 × Usha - 16 = Usha + 16
(5 × Usha ) - Usha = 16+16
4 × Usha = 32
Usha = 8 i.e her number of books.
Mukat = 5×8=40.
I HOPE IT'S OK
Pls halp is due today >_<. Thank you
Answer:
The square root of 38.
Step-by-step explanation:
The square root of 38 is about 6.16.
The square root of 35 is about 5.91.
The square root of 45 is about 6.70.
The square root of 48 is about 6.92,
So the most reasonable one is the square root of 38, since it is much closer to 6.
Judy's heart beats 70 times a minute. At this rate, how many times does it beat per hour?
Answer:
4200 timesStep-by-step explanation:
[tex]70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour[/tex]
Answer:
4200 beat per hour
Step-by-step explanation:
70 beat per min to beat per hour
70 beat 60 min
------- x ----------- = 4200 beat per hour
min 1 hour
A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.
Answer:
A) No because the theater did not survey everyone in the theater.
Answer:
Yes, because the theater surveyed a random sample.
Step-by-step explanation:
The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.
What is the center of the circle with the equation (x+4)2 + (y - 2)2 = 16?
Answer:
The center of the circle is
( - 4 , 2)Step-by-step explanation:
Equation of a circle is given by
(x - h)² + ( y - k)² = r²where r is the radius
(h, k) is the center of the circle
The center of a circle is given by
( - h , - k)
From the question equation of the circle is
( x + 4)² + ( y - 2)² = 16
Comparing with the general equation above
( h , k) = ( 4 , - 2)
The center of the circle is
( - h , - k) = ( - 4 , -(-2))
We have the final answer as
( - 4 , 2)Hope this helps you
Worth 20pts need help right away
Q. Make an equation that describes the table of values below
Ps pls explain work it’s worth 20 pts
Answer:
y=2x+1
Step-by-step explanation:
there's nothing to show, sorry
ask me if you have question
HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet
Answer:
Length = 3.2feets ; width = 6feets
Step-by-step explanation:
Given the following :
Actual dimension of Mural:
8feets by 15feets
Scale drawing ratio of Mural :
2feets : 5feets
This means :
2 Feets on paper equals 5 Feets of actual drawing:
Therefore, with actual dimension of Length = 8feets ;
Length of scale drawing = (2/5) * 8 = 3.2feets
Actual dimension of width 15feets ;
Width of scale drawing = (2/5) * 15 = 6 Feets
Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.
What was his mistake?
He had a different number of points to the left of the vertical line than to the right of the vertical line.
He had a different number of points above the line of best fit than below the line of best fit.
He didn’t approximate the center of the cluster located on the left side of the vertical line and of the cluster located on the right side of the vertical line.
He didn’t connect the centers of the clusters on the left side and right side of the vertical line to produce the line of best fit.
Answer:
He had a different number of points to the left of the vertical line than to the right of the vertical line.
Step-by-step explanation:
Divide-center method is the method which involves dividing the data on the graph into two equal parts and then fin the line of best fit. The center of each group is approximated and then a line is constructed between two centers which is estimated as line of best fit.
The chess club has 18 students. How many different teams of 4 can be formed for competition?
A. 3,060
B. 18,360
C. 73,440
The number of 3060 teams of 4 can be formed for competition.
The correct answer is A.
What is a combination?A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.
Given:
The chess club has 18 students.
To find the number of combination of teams of 4 can be formed for competition:
¹⁸C₄
Solving the combination,
¹⁸C₄
= 18! / 4! x (18-4)!
= 18! / 4! x 14!
= 18 x 17 x 16 x 15 / 4 x 3 x 2 x 1
= 3060
Therefore, the number of teams are, 3060
To learn more about the combination;
https://brainly.com/question/29594894
#SPJ5
Show that the rational numbers -15/35 and 4/(-6) are not equal?
Answer:
-15÷35 is different from 4÷-6
Step-by-step explanation:
-15÷35=-3/7
4÷-6=-2/3
-3/7 is different from -2/3
solve for y. -y/3 = -23 simplify your answer as much as possible
Answer:
69
Step-by-step explanation:
-y/3 = -23
=> -y = -23 x 3
=> -y = -69
=> y = 69
Answer:
69
Step-by-step explanation:
We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69
Identify the Mapping MNJ —> EDC
Translation
Rotation
Reflection
Glide Reflection
Answer:
The answer is rotation.
Harley is trying to save $25,000 to put a down payment on a condominium. if she starts with $10,000 saved and saves in additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? X stand for months and Y stand for dollars.
Answer:
10,000+750x=25,000
Step-by-step explanation:
This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x
if the sum of two angles is 200 grade and their difference is 20 degree. Find the angle?
Step-by-step explanation:
Formulate an equation to solve for this one.
- I did x+x-20= 200
x represents the larger angle between the two triangles.
x-20 represents the smaller triangle which the problem states is 20 degrees smaller.
- if you solve the equation I gave you above you will get your answer. x= 110
your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.
Hope this helps!
27 – 4 + 2a = 4a + 10 what is the answer
Answer:
13/2 = a
Step-by-step explanation:
27 – 4 + 2a = 4a + 10
Combine like terms
23 +2a = 4a +10
Subtract 2a from each side
23+2a-2a = 4a-2a +10
23 = 2a+10
Subtract 10 from each side
23-10 = 2a+10-10
13 = 2a
Divide by 2
13/2 = a
Answer: a = 13/2
I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!
Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?
Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder
[tex]V=\pi r^2h[/tex]
Where, r = radius
h = height
Put the value into the formula
[tex]V=\pi\times(2)^2\times13[/tex]
[tex]V=163.3\ cm^3[/tex]
Hence, The volume of the cylinder is 163.3 cm³.
8 is subtracted from the square of a number
Answer:
n^2-8 is the answer
Step-by-step explanation:
Is this answer correct?
Answer:
yes
The statement 'C' explains the difference between a plane and a ray.
i.e. A plane does not have a formal definition, and a ray is described through undefined terms.
Step-by-step explanation:
A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because
A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.
In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.
Therefore, the statement 'C' explains the difference between a plane and a ray.
i.e. A plane does not have a formal definition, and a ray is described through undefined terms.
Keywords: plane, point, line, ray
Learn more about plane and ray form brainly.com/question/14471549
#learnwithBrainly
The ratio of boys and girls in the class is 4:3. How many boys and girls are in the class if there are 35 students?
Answer:
20boys and 15girls
Step-by-step explanation:
Let no of boys be 4x
no of girls be 3x
4x+3x=35
7x=35
x=35/7
x=5
no of boys=4×5=20
no of girls=3×5=15
20+15=35 students
Helppp please!! Thank you
Answer:
The answer is 4
Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of μ = 500 and a standard deviation of 100. What is the minimum score necessary to be in the top 10% of the distribution?
Answer:
The minimum score necessary to be in the top 10% of the distribution is 628.
Step-by-step explanation:
Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100
The Significance level for this test = 10 % = 0.1
For one tailed test ∝= 0.1 the value of Z∝= ±1.28
Since it a normal distribution the test statistic used is
Z= X= u / σ/√n ( taking n= 1)
1.28 = X- 500/100/√1
128 + 500 = X
or X = 628
The minimum score necessary to be in the top 10% of the distribution is 628.
zero of the zero polynomial is
Answer: zero of the zero polynomial is additive identity where all the coefficients including constant are zero.
hope you understand. Pls make me in brainliest
Step-by-step explanation:
Answer:
A zero polynomial is a a constant polynomial, whose coefficients all equal 0. There are an infinite number of 0's in a zero polynomial. Any value of x can be a zero of a zero polynomial, which is why there are an infinite number of 0's in a zero polynomial.
Step-by-step explanation:
Carly has averaged four goals per game for the first eight games of the indoor soccer season (which runs for 10 games)
She wants to finish the season with an average of 5 goals per game.
How many goals does she need to score in total in the last two games to achieve this?
Answer:
9
Step-by-step explanation:
i did 8x4 which is 32
and knowing how to do averages i knew the total of the numbers was going to be divided by the amount of numbers, so i knew that it had to add up to 50 because 50/10 is 5.
so i knew i needed 18 more points, 18/2 = 9 so
4(8) + 9(2) = 32 + 18 = 50
help me please pelase please
calculate the area of the shaded region in each figure. use 3.14 for π and round to the nearest 10th if nessary
Answer:
7.6 cm²
Step-by-step explanation:
Area of rectangle= l x w
3 x 4 = 12 cm
Area of circle= πr²
π x 2.5²= 19.625
Area of shaded= Area of circle - area of rec
19.625- 12= 7.625 cm²
≈7.6
I HOPE THIS HELPED
look at the image to get ur question thank u for ansering
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
for which prime p,p4+8 is also a prime number
Answer: p = 3.
Step-by-step explanation:
Ok, this must be:
p and p^4 + 8
ok, it may be useful to remember the first prime numbers:
2, 3, 5, 7, 11, 13...
So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:
First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.
now let's try p = 3.
3^4 + 8 = 81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.
Hey please help me with Math!
There’s a bicycle that runs 45km in 1 hour and 15 minutes.
1) What is the speed of this bicycle? (__km/ph)
2) How far will this bicycle get in 2 hours and 40 minutes?
Step-by-step explanation:
Hello!!!!
According to the question,
distance covered (d)= 45km.
time taken (t)= 1 hr and 15 mins.
now,
let's find answer of this question no. i).
》answer :
speed (s)= distance by time taken
= 45 /1.25
so, the speed is 36 km/hr.
now, for 2nd question,
time (t)= 2hrs and 40 mins.
speed (s)= 36km / hr
now,
distance (d)= s×t
= 36×2.6666666667
= 96km....is yourrequired answer.
Hope it helps...
Translate this into an equation 4 times a number divided by eight is three
Answer:
Here is the equation 4x6/8=3
Answer:
4 x q ÷ 8 = 3
4 x 6 ÷ 8 = 3
(24) ÷ 8 = 3
