Factor completely. x^2−12x+35
Answers
Answer:
(x-5) (x-7)
Step-by-step explanation:
x²−12x+35
note that the constant term is 35 and the x-coefficient is -12
step 1: List factors of 35 : ±1, ±5, ±7,±35
step 2: observe the factors listed and ask ourselves the following questions:
1) What 2 factors in the list , when multiplied gives the constant 35
2) What same 2 factors when added gives the x-coefficient -12
by deduction or trial and error, we can see that -5 and -7, when multiplied gives 35 and when added gives -12. Hence these become the factors.
Hence the factors are
(x-5) (x-7)
Related Questions
The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.A table with 6 columns and 2 rows. The first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank.Which solution can be used to fill in both blanks in the table?(2, 5)(5, 2)(5, −8)(−8, 5)
Two increased by the product of a number and 9 is greater than or equal to 25.
I need help understanding this homework. I am totally lost. It says Solve the problem, show your work and PQPA your answer. My daughter has to turn this paper in tomorrow morning.
the distance across a field is 20 m.is the distance across the same field greater than or less than 20km?Explain
B) 1/3
C) 1/9
D) 1/2
Answers
The probability that the selected marble is Green for the considered case is given by: Option B: 1/3
How to calculate the probability of an event?
Suppose that there are finite elementaryevents in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Given that:
- Bag has 3 green, 3 red, and 3 blue marbles.
- A marble is selected at random.
To find: P(selected marble is green)
Take:
E = event that a marble selected at random is green.
Numbre of cases in which E can be done is 3 (as there are 3 green marbles).
Number of total cases = 3+3+3 = 9 (total 9 marbles, each can come as an outcome).
Thus, we get:
Thus, the probability that the selected marble is Green for the considered case is given by: Option B: 1/3
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Answer:B 1/3
Step-by-step explanation:
3/9=1/3
Answers
6:8
12:16
24:32
60:80
300:400
240:320
45:60
75:100
(2)*3 : (2)*4
6:8
(3)*3 : (3)*4
9:12
(4)*3 : (4)*4
12:16
Express your answer in simplest form.
OUTCOME: 1 2 3 4 5 6
NUMBER OF:10 6 4 8 6 6
TIMES AND
OUTCOME
OCCURRED
PLEASE HELP AND MAKE SURE YOUR RIGHT PLEASE I'LL AWARD 50 POINTS and also the answer is a fraction box
Answers
According to the table, the die was rolled 40 times:
10+6+4+8+6+6=40
odds of rolling a 2 were 6/40 and the odds of rolling a 4 were 8/40
P(2)=6/40
P(4)=8/40
P(2 or 4)=6/40+8/40=14/40 when simplified, its 7/20
7/20=0.35 or 35%
Answer= 7/20 or 35%
Answer: 1/4
The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
What is the experimental probability of rolling a 2 or a 4?
Enter your answer as a fraction in simplest form, in the box.
1/4 I took the test.
Answers
А. 12
в. 2
С. 9
D. 14
Answers
Answer:
C. 9.
Step-by-step explanati
3- (-3) +7 – 4 =
3 + 3 + 7 - 4 (- (- = + )
= 13- 4
= 9.
Answers
The image is reflected in III quadrant.
It is required to find the which quadrant is the image.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given:
The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.
A figure is in quadrant IV. the figure is reflected in the y-axis.
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
The image is reflected in III quadrant.
∴(x,-y)→(−x,-y) .
Therefore, the image is reflected in III quadrant.
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