(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above
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[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]
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• Given:-✯ x² - 6x - 27
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• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Splitting the middle term:-
➪ x² - 9x + 3x - 27
➪ x(x - 9) + 3(x - 9)
★ (x -9) (x +3)
Therefore, the factors of the given expression are (x - 9) and (x +3).
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Hence, Option A. i.e (x + 3) is the correct choice.
Answer:
[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
which property is illustrated, 1n = n
1n=n Answer:
Step-by-step explanation:
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Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
Read more about confidence intervals here:
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how many 1/2 kg packets of salt can you obtain from 18 kg of salt
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
given that a=15cm and b= 8cm work out x
Answer:
Literally do a^2+b^2=x^2 and solve for x
A section of a stream is shown in the drawing below. What is x, the distance across the stream, in feet?
Answer:
[tex]x = 8\ ft[/tex]
Step-by-step explanation:
Given
See attachment for stream
Required
Find x
To solve for x, we make use of the following equivalent ratio
[tex]4 : 6 = x : 12[/tex]
Convert to fractions
[tex]\frac{4}{6} = \frac{x}{12}[/tex]
Multiply both sides by 12
[tex]12 * \frac{4}{6} = \frac{x}{12} * 12[/tex]
[tex]12 * \frac{4}{6} = x[/tex]
[tex]x = 12 * \frac{4}{6}[/tex]
[tex]x = \frac{12 * 4}{6}[/tex]
[tex]x = \frac{48}{6}[/tex]
[tex]x = 8[/tex]
-70=7x what is x? Please show work
Answer:
X=-10
Step-by-step explanation:
Flip it
7X=-70
Divide both sides by 7
7x/7= -70/7
Answer:
x= -10
Step-by-step explanation:
-70=7x
[tex]-\frac{70}{7} =\frac{7}{7}x[/tex]
-10=x
The wall is 624 feet long and
made of 6,500 bamboo poles. How many
bamboo poles are there per foot, rounded to
the nearest whole number?
Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answer:
True
Step-by-step explanation:
False
True
False
True
True
Write an equation for the line in slope-intercept form.
Answer:
y=2
Step-by-step explanation:
PART A
3 less than half a number is 10
Write an expression to represent this situation.
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
Answer:1/2x-3=10
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow
Answer:
i wont becas
Step-by-step explanation:
the number is 2.5
Simplify the expression.
4 + (11 - 3)2
A.) 68
B.)6
C.)20
D.)144
Answer:
I THINK ITS 20?
Step-by-step explanation:
Answer:
c is the answer
Step-by-step explanation:
Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three
Answer:
First number: 9
Second number: -15
Answer:{4m+3n=-9
2m+n=3
Step-by-step explanation:
¿De qué manera influye la ética en el hombre a partir de su función crítica? Explique.
Answer:
La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.
Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.
planning to start a family comes to you for information. Charles was married once before, and he and his first wife had a child with cystic fibrosis. The brother of his current wife, Elaine, died of cystic fibrosis. What is the probability that Charles and Elaine will have a baby with cystic fibrosis
Answer:
Cystic fibrosis probability is remote in current case.
Step-by-step explanation:
Cystic fibrosis is the disease in which patient suffers lung and intestine clog due to mucus. There is chance of cystic fibrosis in children when one of parent has history of such a disease. If one parent has defective genes and other parent has healthy genes then there is very remote chances of this disease in child.
An experiment consists of first rolling a die and then tossing a coin.
(a) List the sample space. {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(3, H), (3, T), (4, H), (4, T)}
(b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
P(A) =
(c) Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.
A. Events B and C are mutually exclusive because they have different probabilities.
B. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.
C. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first.
D. Events B and C are mutually exclusive because they are dependent events.
Answer:
A
Step-by-step explanation:
I think letter C the die is consisting of 6 number 1,2,3,4,5,6 and the coin H,T. The probability of tossing a coin are only two while rolling a die has six probability that it will land either three or fou.r
Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.
Answer:
3/7 cup
Step-by-step explanation:
Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.
Let the cookies = x
Then the bread = x - 1/8 x = 7/8x
The brownies = cookies - 1/4 cookies
The brownies = 3/4 cookies = 3/4 x
==============
Now start again.
The bread uses 1/2 cup.
That translates into 1/2 = 7/8 x
x = 1/2 // 7/8 = 4/7 cup for the cookies (4/7 is larger than 1/2)
Whatever the cookies are, the brownies take 3/4 as much
4/7 * 3/4 = 12/28 = 3/7
The answer should be 3/7 of a cup.
9514 1404 393
Answer:
3/8 lb
Step-by-step explanation:
If all units are pounds, then we have ...
bread = cookies - 1/8 lb
cookies = brownies + 1/4 lb
bread = 1/2 lb
Using the last value in the first equation, we find ...
1/2 lb = cookies - 1/8 lb
cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides
Using this in the second equation gives ...
5/8 lb = brownies + 1/4 lb
3/8 lb = brownies . . . . . subtract 1/4 lb from both sides
__
Lila used 3/8 lb of flour to make the brownies.
Please help if you would be so kind, it’s geometry:
Answer:
Step-by-step explanation:
x+(4x-8)+(x+8) = 180
x = 30
∠C = x+8 = 38°
height = 7sin38°
area =0.5·13·7sin38° ≅ 28.0126 cm²
Classify by sides work conclusion triangle ABC is a(n)_________
Classify by angles conclusion triangle ABC is a(n)______
triangle ABC is a right isosceles triangle
***on the paper i accidentally wrote scalene instead of isosceles
Felix wants to buy some lemonade for the dinner party.
He sees these offers in a shop.
Felix decides to buy 2 packs of 8 cans.
He thinks 2 packs of 8 cans is more lemonade than 5 bottles of 1 litre.
Is Felix correct?
Show a check of your working.
Use the space below to show clearly how you get your answer.. Single line text.
(4 Points)
Answer:
Yes. Felix is correct.
Step-by-step explanation:
Find out how much ml does a can of lemonade have, I would assume its 330ml since I searched up the ml of a lemonade can.
Find out how much cans of lemonade there are in 2 packs of 8.
2 packs = 8 x 2 = 16 cans of lemonade
Now find out how much ml 16 lemonade cans equal to.
1 can of lemonade = 330ml
16 cans of lemonade = 330 x 16 = 5280ml
Now let's find 5 bottles of 1 litre.
1 litre x 5 = 5 litres.
5280 = 5 litres and 280ml
So Felix is correct about 2 packs of 8 cans is more than 5 bottles of 1 litre.
-5/2 squared
(-5/2 x -5/2)
What is the area of the parallelogram shown?
Answer: 234 in^3
Step-by-step explanation:
The area of a parallelogram is simply length * height.
For his craft project, James bought 101010 pieces of ribbon that were each 2.1\text{ feet}2.1 feet2, point, 1, start text, space, f, e, e, t, end text long.
How many total yards of ribbon did James buy?
9514 1404 393
Answer:
7
Step-by-step explanation:
The total length of ribbon is ...
(10)(2.1 ft) = 21 ft
There are 3 feet in a yard, so the number of yards is ...
(21 ft)×(1 yd)/(3 ft) = 7 yd
In applications, we consider any event that has below 5% chance. Pick a card from a standard deck of 52 cards. A=The card is an Ace. B = The card is Spade Ace. Is this likely to occur or not?
Answer:
Step-by-step explanation:
P(A) = 4/52 = 0.07692 which is bigger than 5%
5% = 0.05
0.07 is above 5% which is surprising.
The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.
michelle is working on a design for a new building .she has built a model of the model of the building according to the clients specifications
Nine pieces of 8 in. ✕ 12 in. duct that is 2 2 3 ft in length is needed for a building. What is the total length (in ft) needed?
This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2[tex]\frac{2}{3}[/tex] ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2[tex]\frac{2}{3}[/tex] ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2[tex]\frac{2}{3}[/tex] ft by nine
so
Total length = 9 × 2[tex]\frac{2}{3}[/tex]
we convert the mixed fraction to improper fraction
2[tex]\frac{2}{3}[/tex] = 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft
What is the GCF for the terms in the following expression?
15x + 30y - 10
What is the factored expression?
Hint: it will look something like this
4 (2x + 4y - 6) this is not the answer!
Answer:
Step-by-step explanation:
15x = 3·5·x
30y = 2·3·5y
The common factors are 3 and 5.
Greatest common factor = 3·5 = 15