Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Which of the following is described below?
This object goes forever in opposite
directions. It is infinitely skinny, as it is a
set of points that are all lined up.
A. Point
B. Line
C. Ray
D. Segment
Answer:
B. line
Step-by-step explanation:
A line would fit this description best. A ray wouldnt work because it goes on infinitely in one direction. A point wouldnt work because it is a dot that marks a location, and a segment is bound by 2 points, and cannot go on forever.
The given description would be best fitting to a "line", which is the correct answer would be an option (B).
What is the line?A Line is formed by a set of points traveling in a straight line but in opposite directions. It has no breadth, no depth (curvature), and no termination, which implies 'it will not finish,' hence it moves in a straight line in opposing directions indefinitely.
This object goes forever in opposite directions. It is infinitely skinny, as it is a set of points that are all lined up.
This description would be best suited to a line.
A ray would not operate since it extends in one direction indefinitely. A point would not work since it is a dot that indicates a position, but a segment is constrained by two points and cannot continue indefinitely.
Hence, the correct answer would be an option (B).
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A buyer of a new sedan can custom order the car by choosing from 5
different exterior colors, 3 different interior colors, 2 sound systems, 3
motor designs, and either manual or automatic transmission. How many
choices does the buyer have? /(10 pts)
Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this question:
The options are independent.There are 5 different exterior colors, hence [tex]n_1 = 5[/tex].There are 3 different interior colors, hence [tex]n_2 = 3[/tex].There are 2 sound systems, hence [tex]n_3 = 2[/tex].There are 3 motor designs, hence [tex]n_4 = 3[/tex].There are 2 transmission options, hence [tex]n_5 = 2[/tex].Then:
[tex]N = 5 \times 3 \times 2 \times 3 \times 2 = 180[/tex]
The buyer has 180 choices.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/25799621
if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO
Answer:
8 smoothies: 4:6
2 smoothies: 1:1.5, etc.
Evaluate the given expression for x = 4.
x? + 5x - 8
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.
Answer:
7.8
Step-by-step explanation:
subtract 85 - 77.2
A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.
Answer:
f(x) = 4(x -1)^3·(x +2)
Step-by-step explanation:
Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.
f(x) = a(x -1)^3·(x +2)
f(0) = a(-1)^3·2 = -2a = -8 ⇒ a = 4
The factored form of the equation is ...
f(x) = 4(x -1)^3·(x +2)
IR = V (solve for R) *
Answer:
R = [tex]\frac{V}{I}[/tex]
Step-by-step explanation:
IR = V ( isolate R by dividing both sides by I )
R = [tex]\frac{V}{I}[/tex]
A
B
(7y+9)
If
2yº
04
с
What’s m
Answer:
acute angles A and C are 38°obtuse angles B and D are 142°Step-by-step explanation:
We assume the figure is a parallelogram, so the sum of the marked angles is 180°.
2y +(7y +9) = 180
9y +9 = 180 . . . . . . . simplify
y +1 = 20 . . . . . . . . . divide by 9
y = 19
m∠BCD = 2y° = 38°
m∠ABC = (7y+9)° = (7·19 +9)° = 142°
Please help me in this 4th grader question, i was sick over the weekend
Answer:
[tex] = 825 - 657 \\ = 168answer.[/tex]
Step-by-step explanation:
MARK ME AS A BRAINLIST PLZ
Answer:
825 - 657 = 168This is the answer, hope it helps you!!
For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Help help help help help please please
Answer:
Angle 8
Step-by-step explanation:
Refer to the attached picture
please help ill mark brainliestO
Answer:
56
Step-by-step explanation:
How do you solve multistep equations with variables on both sides
of the equals sign?
5x - 8 = 3x + 12
- 3x -3x
You have to subtract them both.
2x - 8 = 12
The sum of 7/8 of a number and 20 is 34 at minimum
Answer:
7/8x ≥ 14
Step-by-step explanation:
(sum means addition in case you forgot)
You would start by writing 7/8x + 20 ≥ 34
You would then subtract 20 from both sides to isolate the variable x.
You would then have 7/8x ≥ 14
Which of the following shows the prime factorization of 200 using exponential notation?
Answer:
As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200.
What is the solution to -4|-2x + 6|= -24?
O x=0
O x=0 or x = -6
O x= 0 or x = 6
O no solution
Answer:
x=0 or x=6
Step-by-step explanation:
-4|-2x+6| = -24
|-2x+6| = 6
-2x+6 = 6
-2x = 0
x = 0
-2x+6 = -6
-2x = -12
x = 6
Therefore, x=0 or x=6
What is (are) the x-value(s) that solve the system of equations y = x and y = 2x – 1?
Answer:
y=1 x=1
y = 2x – 1
replace y with x
x=2x-1
x-2x = - 1
-x = -1
x= 1
y=x =1
Ali caught a fish that weighed 9 1/2 lb. Lisa caught a fish that weighed 5 3/4 lb. How much more did Ali’s fish weigh?
Answer: the answer is 3 3/4
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
3n + 6n -4 = 2n + 2 + 5n
Answer:
3n +6n-4=2n+2+5n
9n-4=7n+2
9n-7n=2+4
2n=6
n=6÷2
n=3
Carter has a rope that is 6 meters long. He cuts the rope in half. Then he cuts one of the halves into pieces that are 1-third meter each.
He would have 4 pieces of rope
simplify the expression (9n+ 4)-(-1/2n-7)
Answer:
9 1/2n + 11
Step-by-step explanation:
9n + 1/2n + 4 + 7
9 1/2n + 11 or 19/2n + 11
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
Evan made a tower from 32 building blocks. Aisha made a tower using 5 times as many blocks. How many blocks did Aisha use to make her tower?
Answer:
160
Step-by-step explanation:
32×5 is 60 hope that helps
A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?
Answer:
70%
Step-by-step explanation:
the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes
to find a percentage we can buff up the ratio to add up to 100
14 + 6 = 20
100 / 20 = 5
that means we must multiply each side by 5
14 * 5 = 70
6 * 5 = 30
the ratio is now 70 to 30
you would have 70% of milkshakes that are small
Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?
2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?
3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?
4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:
5.3 + 7.4
2.45 + 3.95
2.5 – 1.3
4.12 – 2.80
1. Add 2.7 and 1.7 together to discover the total amount
2.7 + 1.7 = 4.4
You would walk 4.4 miles if you walked both trials.
2. Add the amounts of both trail mixes together
1.7 + 1.4 = 3.1
There were 3.1 pounds of trail mix brought on the hiking trip
3. Subtract answer from 2 by 2 and recieve the answer for this question
3.1 - 2 = 1.1
There were 1.1 pounds of trail mix eaten on this hiking trip
4. Answers:
12.7
6.40
1.2
1.32
Need help with math problem 5 stars and good rating if do
Answer:
Bottom right
Explanation:
visualize both triangle connected to the middle rectangle, and that's a triangular prism
A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?
The cart slows that at the rate of 20cm/s between 5 and 15secs
Given the rate function expressed as:
r(t) = 2t + 60
If the time is t = 5
r(5) = 2(5) + 60
r(5) = 70cm/s
If the time is t = 15
r(15) = 2(15) + 60
r(15) = 90cm/s
Taking the difference in rate;
Difference = 90cm.s - 70cm/s
Difference = 20cm/s
Hence the cart slows that at the rate of 20cm/s between 5 and 15secs
Learn more on rate of functions here:
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Car A travels 115 miles on 5 gallons of gas. Car B 126 miles on 6 gallons of gas. How can you find which car gets better gas mileage?