The student is wrong in the steps of the factorization.
What do you mean by factorization in polynomial?Factorization of polynomials, also known as polynomial factorization, is a mathematical and computer algebraic technique that combines irreducible factors with coefficients in the same domain to produce a polynomial with coefficients in a particular field or in integers. A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization. A polynomial can be expressed as the product of its factors, where the components must have a degree that is less than or equal to the original polynomial.
The equation is given as:
x^2 + 2 x - 48 = 0
Expand the equation
x^2 + 8x - 6x - 48 = 0
Factorize the equation
x(x + 8)- 6(x + 8)
Factor out x + 2
(x + 8)(x - 6) = 0
The above means that the factored equation of x^2 + 2x - 48 = 0 is (x + 8)(x - 6) = 0
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How to find the size of angle x
Answer:
x = 50°
Step-by-step explanation:
draw a line through B parallel to the 2 given parallel lines , then
the upper angle at B and 150° are same- side interior angles and sum to 180°
upper angle = 180° - 150° = 30°
the lower angle at B and 160° are same- side interior angles and sum to 180°
lower angle = 180° - 160° = 20°
Then
x = upper angle + lower angle = 30° + 20° = 50°
PLS HELP
SHOW WORK
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The equation is d + 3h = $13
The cost of each hamburger is $3.5
Solving an EquationFrom the question, we are to write and solve the equation for the problem.
From the given information,
Danie purchases one hot dog $2.50
and
3 hamburgers
and
He spent $13 total
Let d represent hot dog
and
h represent hamburger
Then,
d = $2.50
We can write that
d + 3h = $13
$2.50 + 3h = $13
3h = $13 - $2.50
3h = $10.5
h = $10.5/3
h = $3.5
Hence, the cost of each hamburger is $3.5
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What is the x -the value of the ordered pair (0, 4)?
Answer: the x value of the ordered pair is 0
PLEASE HELP I DONT EVEN CARE HOW YOU SOLVED IT AS LONG AS ITS CORRECT
Answer:
Step-by-step explanation:
1. ¿Cuál o cuáles son los interceptos con el eje x , de la función
2.Especifica una ecuación cuadrática para las siguiente raíz:
3.Las soluciones de la ecuación
4.Usa la discriminante para determinar la naturaleza de las raíces de las ecuaciones.
5.Plantea una ecuación cuadrática para la parábola
Utilizando la formula de Bhaskara obtenemos los interceptos del eje x que son en x = 0.
La cuadratica con las dadas raices es:
f(x) = x^2 + 64
¿Como encontrar los interceptos con el eje x?
Primero tenemos la función cuadratica:
f(x) = 2x^2 - 6x + (9/2)
Primero, debemos encontrar las soluciones a la ecuación:
2x^2 - 6x + (9/2) = 0
Esto nos dara los interceptos con el eje x.
Usando la formula de Bhaskara obtendremos:
x = ( 6 ± √( (-6)^2 - 4*(9/2)*2 )/(2*2)
x = (6 ± 0)/4
Entonces tenemos dos interceptos del eje x en el mismo punto, que es x = 6/4 = 3/2
2) Ahora nos dan dos raices, que son x = 8 y x = -8
Recordar que si nos dan dos raices a y b, entonces una cuadratica con esa raices será:
f(x) = A*(x - a)*(x - b)
Donde A es el coeficiente lider de la cuadratica. En este caso no nos dan un valor de A, por lo que asumimos es 1.
Entonces esta cuadratica será:
f(x) =(x - 8)*(x + 8)
Expandiendo:
f(x) = x^2 + 64
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Can someone help me with this
Answer:
LM + MN=LN
Therefore (2x-16)+(x-9)=11
2x-16+x-9=11
2x+x-16-9=11
3x-25=11
3x=11+25
3x=36
x=36/3
x=12
Therefore MN=(12-9)=3
MN=3
Select all the correct answers.
The slope-intercept form of a line is y= mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is
4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the
line?
b = y + mx
O by- mx
=
b = y-m
b = -12
b = -4
b = 2
The equation that can be used to find the y-intercept of the line is
b = y - mx, and the y-intercept for this equation will be -12
In this question, It is given that a line passes through a given point (1,-8), and the slope of the line is given 4. We know the equation of Slope-point form : (y - y₁) = m(x - x₁), Where m = slope = 4 and (x1,y1) = (1,-8)
Now, putting these values into the slope-point form equation, We get :
=> (y - y₁) = m(x - x₁)
=> (y - (-8) = 4(x - 1) => (y +8) = 4x -4
=> y = 4x -12 ---> Equation (1)
We got the slope-intercept form for the following situation.
We can find out the y-intercept value by comparing the
=> y = mx + b to Equation (1).
=> b = -12
Hence, b = y - mx will be used to find out the y-intercept and the y-intercept for this line will be -12
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A 2.36 cm3 sample of an unknown metal weighs 18.5 g. what is the sample's density?
The density of the sample is 796.61 kg/m^3.
According to teh given question.
The weight of the metal is 18.5g
The volume of the sample is 2.36 cm^3 or 0.00000236
Since, we know that
Weight = mass × acceleration due to gravity
⇒ 18.5g = mass of the metal × 9.8
⇒ 18.5g/1000 = mass of the metal × 9.8
⇒ mass of the metal = 0.00188kg
Therefore,
the density of the sample
= 0.00188/0.00000236
= 796.61 kg/m^3
Hence, the density of the sample is 796.61 kg/m^3.
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please help need the answer fast
Answer:
g = 7
Step-by-step explanation:
the first thing you must do is combine like terms
10g - 7g is also just 3g
3g - 3 = 18
now add 3 to both sides
3g = 21
now divide everything by 3
g = 7
that is your answer
Dave harvests eggs on his farm. He needs 3 more eggs to make 7 groups of 12 eggs each. Let e repres
number of eggs he has now.
Which equation can be used to find the number of eggs that Dave has now?
Answer:
e=7(12)-3
Step-by-step explanation:
Because he needs three more to have 7 groups of 12 (7x12=84) so he has three less than the 7 groups of 12 he needs (84). So subtract 3 from that.
36 divided by 1/4 in words to match the expression?
Step-by-step explanation:
36 multiple 4 it is equivalent to what you say
what is the class width? what are the approximate lower and upper class limits of the first class?
Class width is 10.
Lower class limit is 100.
Upper class limit is 110 of the first class.
What is a histogram?A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual. In statistics, histograms are frequently used to show the frequency of a particular type of variable within a given range. Analysts can customize histograms in a number of different ways. They are able to alter the space between buckets. The sample given above has eight buckets with a ten-bucket spacing. Four buckets with a 20-second interval could be used instead.
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Which statement about the product is true?
5.643 x 4.6
O The product is irrational.
The product is neither rational nor irrational.
O The nature of the product cannot be determined.
O The product is rational.
Answer:
Product is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
the product is rational
Amanda buys 2 nachos and 3 drinks from the concession stand for $12.50. Julio purchases 2 candy bars and 1 drink for $5.50. Ben buys 1 nacho and 1 candy bar for $5.00. Write a system of equations and solve it to determine the cost of each item.
Answer: 12.50= 2x + 3y,
5.50= 2x+y,
5=x+Y
Step-by-step explanation: Use a graphing calculator bro
ANSWER ASAP I NEED HELP
Type the correct answer in the box. Use numerals instead of words.
In the figure, angle B measures 44°º, angle A measures 62°, and angle E measures 50°.
Complete the equation to solve for f, the measurement of angle F.
f=180°-50°-
Answer:
56
Step-by-step explanation:
Answer:
the answer is
f = 180°-50°74°
Topic #2: Distance & Midpoint
9. Find ST if S(-3, 10) and T(-2, 3).
Answer:
ST = 7.07 units
Step-by-step explanation:
suppose a frequency distribution has the following consecutive classes: $20 up to $30 $30 up to $40 $40 up to $50 what is the class midpoint for the first class?
Answer:25
Step-by-step explanation:
Jessica had x books. Then she went to a book sale and bought 12 more books. Choose the
expression that shows how many books Jessica has now.
27. There were x birds on the tree. 22 of the birds flew away. Choose the expression that shows how
many birds are on the tree now.
28. John has y cookies. He splits them evenly among 13 bags. Choose the expression that shows how
many cookies are in each bag.
Answer:
x + 12
x - 22
y / 13
I'm not sure if this is the answer you're looking for since multiple choice answers weren't provided but i hope this helps at least a little!
Find the common ratio for this geometric sequence.
0.25, 1.25, 6.25, 31.25, ...
A.
0.20
B.
1
C.
–5
D.
5
Answer:
D) 5
====================
Given GP: 0.25, 1.25, 6.25, 31.25, ...To findThe common ratio of this GPSolutionThe common ratio is the constant factor between consecutive terms, that is:
r = 31.25/6.25 = 6.25/1.25 = 1.25/0.25 = 5Correct choice is D.
Identify the function family to which f(x)=x+3 belongs. a. constant b. linear c. absolute value d. quadratic
Answer:
quadratic
Step-by-step explanation:
At a circus, tickets cost $6.75 per person. a family of four spent $73.00 on tickets and food. if each person spent an equal amount on food, how much did each person spend on food?
Answer:
$11.50
Step-by-step explanation:
6.75 times 4 is 27
$73-27 is 46
46 divided by 4 is 11.5
Answer:
$11.50
Step-by-step explanation:
Total spent = Food + Tickets
The cost of the tickets times the number of people
6.75 x 4 = $27.00 for tickets
then the total number of dollars spent in total subtracted by the amount for tickets
73 - 27 = $46 for food
$46 / 4 people = 11.50
So each person spent 11.50 on food.
Find the mean, median, mode(s), and range of the data.
1. Marianne's Daily Earnings at a Part-Time Job:
$20, $22.50, $20, $27.50, $25
Answer:
mean = 23
median = 22.50
mode = 20
range = 7.5
Step-by-step explanation:
mean is the total / n
total = 20+20+22.50+25+27.50 = 115
n= 5
mean = 115/5 = 23
median you'll arrange the numbers in ascending order and pick the middle one and its 22.50
20, 20, [22.50], 25, 27.50
mode is the number that is repeated mostly and it was 20.
range is max - min
max is 27.50
min is 20
range = 27.50 - 20
range = 7.50
0.5 to the 11 power simplify
HELP ASAP!! I'm rlly confused
Answer:
0=4
2=16
10=64
15=94
Step-by-step explanation:
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-1 - 17x
Step-by-step explanation:
Firstly you arrange the like terms as follows:
(17 - 18) (- 12x - 5x)
Then you work it out:
17 - 18 = -1
-12x - 5x = -17x
After you combine the answers:
-1 -17x
Finally you get:
-1 - 17x
It takes Evan 9 minutes to complete each word search. How many word searches can Evan complete in 126 minutes?
Answer:
14 word searches
Step-by-step explanation:
126÷9=14
Step-by-step explanation:
126÷9= 14
This is becuse u want to see how many times 9 can go into 126
to check u can do 9×14 and the answer will be 126
whats 1+1 because im scared
Answer:
2 i think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have 1 item. You have another item. That means you have 2 items.
mrs adams buys 4 bannanas and 6 apples tell whether each statement is true or false
Answer:
The statement is false!Step-by-step explanation:
Since 4 bananas + 6 apples = 10 total fruit, the ratio of apples to total fruit is 6 to 10.A recent survey by the American Automobile Association showed that a family of 2 adults and 2 children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed,find the nearest hundredth, the Z-scores for each of the following vacation expense amounts. If the data are normally distributed, find the
percentage of families who spent:
a. Less than $167 per day.
b. Less than $367 per day.
c. More than $247 per day.
d. More than $350 per day.
e. Less than $67 per day.
f. Between $200 and $300 per day.
g. Between $360 and $400 per day.
h. More than the median.
i. Less than the mean.
Using the normal distribution, the percentages are given as follows:
a. 9.18%.
b. 97.72%.
c. 50%.
d. 4.27%.
e. 0.13%.
f. 59.29%.
g. 2.46%.
h. 50%.
i. 50%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 247, \sigma = 60[/tex]
For item a, the proportion is the p-value of Z when X = 167, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (167 - 247)/60
Z = -1.33.
Z = -1.33 has a p-value of 0.0918.
Hence the percentage is of 9.18%.
For item b, the proportion is the p-value of Z when X = 367, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (367 - 247)/60
Z = 2.
Z = 2 has a p-value of 0.9772.
Hence the percentage is of 97.72%.
For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (247 - 247)/60
Z = 0.
Z = 0 has a p-value of 0.5.
1 - 0.5 = 0.5.
Hence the percentage is of 50%.
For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (350 - 247)/60
Z = 1.72
Z = 1.72 has a p-value of 0.9573.
1 - 0.9573 = 0.0427.
Hence the percentage is of 4.27%.
For item e, the proportion is the p-value of Z when X = 67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (67 - 247)/60
Z = -3.
Z = -3 has a p-value of 0.0013.
Hence the percentage is of 0.13%.
For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:
X = 300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (300 - 247)/60
Z = 0.88.
Z = 0.88 has a p-value of 0.8106.
X = 200:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (200 - 247)/60
Z = -0.78.
Z = -0.78 has a p-value of 0.2177.
0.8106 - 0.2177 = 0.5929.
Hence the percentage is of 59.29%.
For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:
X = 400:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (400 - 247)/60
Z = 2.55.
Z = 2.55 has a p-value of 0.9946.
X = 360:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (360 - 247)/60
Z = 1.88.
Z = 1.88 has a p-value of 0.97.
0.9946 - 0.97 = 0.0246.
Hence the percentage is of 2.46%.
For items h and i, the distribution is symmetric and the mean and the median are equal, hence both percentages are 50%.
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1. Jacob wants to buy chocolate spread. There are 8-oz container of
chocolate spread for $0.56 or a 32-oz container of chocolate
spread for $2.56. Which one is a better buy? (Which one has a lower
unit rate?) (5 points).
The
container has a lower unit rate.
Answer: 8oz container has a lower unit rate
Step-by-step explanation:
8 oz = 0.56
32 oz = 2.56
Question: how much is each container per oz
8oz:0.56/8 = 0.07 per oz
32 oz:2.56/32 = 0.08 per oz