MATHEMATICS HIGH SCHOOL

Solve equation x^2-4x+3=0 by factoring

Answers

Answer 1

Answer:

Answer:

Hi,

Step-by-step explanation:

$x^2-4x+3=0\n\nx^2-4x+4-1=0\n\n(x-2)^2-1=0\n\n((x-2)-1)((x-2)+1)=0\n\n(x-3)(x-1)=0\n\nx=3\ or\ x=1\n$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Laura fills a bucket with water at a rate of 6 L/min. At the same time, Sarah empties a bucket holding 30 L of water at a rate of 9 L/min. Let l represent the number of liters of water and let t represent time in minutes. The system models this situation.How many minutes will it take for the buckets to hold equal amounts of water, and how much water will that be?

l = 6t

l = 30 – 9t

It will take ____ minutes for both buckets to hold equal amounts of water. They will each hold ____ liters.

Answers

0+6 L per min
30-9 L per min
so let x represent the time
0+6 times x and
30-9 times x
we want to know what time they will be equal so set them equatl to each other
0+6x=30-9x
6x=30-9x
add 9x to both sides
15x=30
divide both sides by 15
x=2
at 2 mins, they will be equal
find out what that is
subsitute in 0+6x
0+6(2)=0+12=12L

the answers are 2 minutes and 12 liters respectively

Giving brainliest :)))find the 69th term in the arithmetic sequence
2, 5, 8, 11 ...

Answers

206 is the answer since you +3 every time

This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
.
Arithmetic Sequence:
d
=
3
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
2
a
1
=
2
and
d
=
3
d
=
3
.
a
n
=
2
+
(
3
)
(
n
−
1
)
a
n
=
2
+
(
3
)
(
n
-
1
)
Simplify each term.
Tap for more steps...
a
n
=
2
+
3
n
−
3
a
n
=
2
+
3
n
-
3
Subtract
3
3
from
2
2
.
a
n
=
3
n
−
1

= 18

There were 20 apples in the bag. Rachel used 2/5 of the apples for a pie. Hermother used 1/2 of the apples for apple crisp. How many apples are left in
the bag?

Answers

Answer : 2 apples

Step by step explanation:

A taxicab starts at (1, -2) on the grid. It goes 3 blocks west and 4 blocks north to pick up a passenger. Then it goes 8 blocks east and 1 block south and drops off the passenger. Which rule will bring the taxicab back to its starting position?

Answers

It goes 3 blocks west then 8 blocks east, so it goes 5 blocks east in total.
It goes 4 blocks north and 1 block south, so it goes 3 block north in total.
So to return to its original position, it must go 5 blocks west and 3 blocks south. Therefore, your answer is the fourth choice, (x,y) ----> (x-5,y-3)

#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this?A. This is an observational study because students were randomly assigned to groups.

B. This is an observational study because a treatment was applied to both groups.

C. This is an experiment because a treatment was applied to a group.

D. This is an experiment because students were able to choose which group to join.

#3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test?

A. Yes, because Angie is representative of the population in the algebra class

B. Yes, because Angie scored high on the test so it must be easy

C. No, because Angie is not representative of the population in the algebra class

D. No, because Angie scored too high on the test

Answers

The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).

The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.

Simplifying an Expression with the Numerator and the Denominator Raised to a Power