Answer:
Following are the solution to the given question:
Step-by-step explanation:
In question 1:
[tex]\to \frac{x^2+5x+6}{x+2}\\\\\to \frac{x^2+(3+2)x+6}{x+2}\\\\\to \frac{x^2+3x+2x+6}{x+2}\\\\\to \frac{x(x+3)+2(x+3)}{x+2}\\\\\to \frac{(x+3) (x+2)}{x+2}\\\\\to (x+3)[/tex]
In question 2:
[tex]\to \frac{2x+8}{x^2+5x+6}\\\\[/tex]
[tex]\to x^2+5x+6=0\\\\\to (x+3)(x+2)=0\\\\\to x+3 =0 \ \ \ \ \ \ x+2 =0\\\\\to x = -3 \ \ \ \ \ \ x=-2 \\\\[/tex]
In question 3:
[tex]\to f(x) = \frac{x-3}{x+5}\\\\\to f(x) \neq 0\\\\when\\\to x+5=0\\\\\to x=-4 \ excluded \ value \\\\\to x \neq 5[/tex]
In question 4:
[tex]\to f(x) = \frac{x^2+6x+8}{(x+4)}\\\\\to f(x) = \frac{x^2+(4+2)x+8}{(x+4)}[/tex]
[tex]\to f(x) = \frac{x^2+4x+2x+8}{(x+4)}\\\\\to f(x) = \frac{x(x+4)+2(x+4)}{(x+4)}\\\\\to f(x) = \frac{(x+4)(x+2)}{(x+4)}\\\\\to f(x) = x= -4 and -2[/tex]
In question 5:
[tex]\to f(x) =\frac{3x}{x^2-9} \\\\ \to f(x) =\frac{3x}{x^2-3^2} \\\\ \to f(x) =\frac{3x}{(x+3)(x-3)}[/tex]
In question 6:
total number of fish = x
yellow fish [tex]= \frac{40}{100}=0.4X[/tex]
green fish [tex]= \frac{60}{100}) =0.6X[/tex]
It is now the case that the yellow fish number is 6 less than the green fish number.
[tex]\therefore \\\\\to 0.6x-0.4x = 6 \\\\\to 0.2x = 6\\\\\to x= \frac{6}{0.2} \\\\\to x=30[/tex]
green fish [tex]= 0.6 \times 30=18[/tex]
Can someone please help me
can someone help, and explain how to do this, it would be greatly appreciated
Answer:
14
Step-by-step explanation:
EG is the full segment and is is stated that F is the midpoint which means it divides the full segment into two equal parts.
So the value of the full segment is given as 28 then the half of the segment, from E to F, would be 14.
Use Pythagorean Theorem to solve for D. Round your answer to the nearest tenth
A. 12.6
B. 18.9
C. 13.2
D. 19.1
Answer:
18.9
Step-by-step explanation:
hope this helps
Please helpppp!
Find the measure of central angle YZU
Thank you!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
9 pounds of kitty litter cost $8.64. What is the price per ounce?
Answer:
the litter costs $0.06 per ounce, since there is 16 ounces in a pound and 9 pounds meaning g there is 144 ounces 8.64 ÷ 144
Help ill give brainlist
An employee receives a 2% raise once per year. If the employee's initial salary is $52,400.00, What will the employee's salary be after 16 years?
The employee will receive a percentage raise after 16 years is $69,168
How to calculate the employee salary after 16 years ?The first step is to calculate the percentage raise of the salary per year
= 2/100 × 52,400
= 0.02 × 52,400
= 1,048
The next step is to multiply 1,048 by the number of years
= 1048 × 16
= 16,768
The salary after 16 years can be calculated as follows
= 52,400 + 16,768
= 69,168
Hence the employee salary after 16 years is $69,168
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(3, 6) and (-2,5)
find the slope
Slope = 1/5 = 0.2.
You're welcome
Which of the k values are solutions to the following equation?
k2 = 0.49
WILL GIVE BRaINLISt!!
2. Draw the following lines and then write an equation for each
a. Slope is 0, y-interceptis 5
b. Slope is 2, y intercept is -1
c. Slope is -2, y-intercept is 1
d. Slope is }, y-intercept is -1
Answer:
b
Step-by-step explanation:
Lily wants to buy a cow but can't afford the $25 it costs. Later in the year it is at an affordable $15 and Lily can buy it. What percentage of a
discount was on the cow? Please explain :)
Answer:
There was 60% discount on the cow.
Step-by-step explanation:
Cost of cow = $25Latest price = $15Discount can be calculated by dividing the latest price by the original price and multiplying by 100.
Thus,
percentage discount = 15/25 × 100
= 0.6 × 100
= 60%
Thus, there was 60% discount on the cow.
9. What is the Greatest Common Factor (GCF) of 9 and 12? *
108
о
O 36
o
9
3
Answer:
3
Step-by-step explanation:
We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.
Hope this helps!
Which equation has no solution?
O l-2x + 81 = 0
O [3x + 61 = 6
o 14x - 2) = -6
O 1-2 - x| = 9
Answer: |4x-2|=-6
Step-by-step explanation:
This has no solution
The equation that has no solution is | 4x - 2 | = -6.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
| -2x + 8 | = 0: This equation has only one solution, which is x = 4. When we take the absolute value of any number, the result is always non-negative (i.e., greater than or equal to zero).
Therefore, the absolute value of -2x + 8 can only be zero if -2x + 8 itself is zero. Solving for x, we get x = 4.
| 3x + 6 | = 6: This equation has two possible solutions, which are x = 0 and x = -4. When we take the absolute value of 3x + 6, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: 3x + 6 = 6 and 3x + 6 = -6. Solving for x in each case, we get x = 0 and x = -4.
| 4x - 2 | = -6: As I mentioned in my previous answer, this equation has no solutions.
An absolute value cannot be negative or equal to a negative number, so there is no value of x that would make the left-hand side of the equation equal to -6.
| -2 - x | = 9: This equation has two possible solutions, which are x = -11 and x = 7. When we take the absolute value of -2 - x, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: -2 - x = 9 and -2 - x = -9. Solving for x in each case, we get x = -11 and x = 7.
To learn more about the equation;
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can anyone help on this?
Answer: A
Step-by-step explanation:
In triangle ABC, AC = 8 cm, BC = 5 cm, and mZACB = 30°.
Exactly how long is AB ?
Can someone help me this math question
PLS, I NEED HELP!!! 7TH GRADE MATH
Answer:
A. TRUE
B. FALSE
C. TRUE
D. TRUE
Maria solved an equation as shown below.
3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions
Answer:
19
Step-by-step explanation:
3 (x + 6) = 5 (x - 4).
3x + 18 = 5x - 20.
38 = 2 x.
19 = x.
Answer:
19
Step-by-step explanation:
3. Which of the following are equivalent to the ratio 2:3? (select all that apply)
a. 3:4.5
b. 6.5:9.75
C. ½ : ½
d. ¾:1
e. 10:12
What is the answer to (3-4i)(5+6i)
Answer:
39 - 2i
Step-by-step explanation:
First, you need to FOIL the equation:
[tex](3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\[/tex]
Remember that [tex]i^2[/tex] equals -1.
Therefore, the answer to this question is 39 - 2i
I hope this helps!!
- Kay :)
estimate the value of the square root of 40 to the nearest tenth
Answer:
The answer is √40 = 6.32455532033676.
Step-by-step explanation:
To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.
soo like anybody up still?
orrrr..
Answer:
yes we chilling hbu gee
Answer:
hello
I am Shashwat
thanks for free point
Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Landon is xx minutes after he leaves his house, until he gets back home.
Answer:
Step-by-step explanation:
The route Landon took starting at time t = 0 is
Home ⇒ Store ⇒ Bank ⇒ Home
Let's compute cumulative distances(in terms of blocks) and cumulative time using Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total so far; we add current value to previous total)
The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)
At time t=0 Landon is at home so d = 0A student's grade in a Psychology course is comprised of tests (40%), quizzes
(20%), papers (20%), and a final project (20%). His scores for each of the
categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project).
Calculate his overall grade.
Three partners x,y and z contribute an amount of ksh 1400000 for an investment .The profit from the investment is to be shared based on the contribution of each.A profit of ksh 250000 after one month.If x got sh 60000, y got 110000 and the remainder was Z .Calculate the ratio of the contribution
Answer:
The ratio of the contribution x:y:z is 6:8:11
Step-by-step explanation:
Firstly, we need to know the amount in which Z got
That will be 250,000-x-y
= 250,000- 60,000 - 110,000 = 80,000
So the ratio of the contribution in x:y:z will be;
60,000:110,000:80,000
= 6:11:8
Marvin is making lemon bread and pumpkin bread for a school bake sale. he needs 4 and 1/2 cups of flour for the lemon bread and 1 and 1/2 times as much flour for the pumpkin bread. he only has 2 and 1/8 cups of flour left in his pantry, so he buys a new bag from the grocery store. how much flour will marvin use from the new bag? write your answer as a whole number, fraction, or mixed number. simplify any fractions.
[tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups of flour will be used from new bag.
Flour required for lemon bread = [tex]4\frac{1}{2}[/tex] cups
Flour required for lemon bread = [tex]\frac{(4*2)+1}{2}[/tex]
Flour required for lemon bread = [tex]\frac{9}{2}[/tex] cups
Flour required for pumpkin bread = [tex]1\frac{1}{2} * \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{(2*2)+1}{2}* \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{5}{2}*\frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{45}{4}[/tex] cups
Now, the amount of flour Marvin already has = [tex]2\frac{1}{8}[/tex]
The amount of flour Marvin already has = [tex]\frac{(2*8)+1}{8}[/tex]
The amount of flour Marvin already has =[tex]\frac{17}{8}[/tex] cups
The amount of flour needed from new bag = [tex]\frac{45}{4}-\frac{17}{8}[/tex]
Taking LCM, we get 8
The amount of flour needed from new bag = [tex]\frac{(45*2)-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{90-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{73}{8}[/tex] cups
Hence, the amount of flour that will be used from new bag is [tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups.
Learn more about mixed number -
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Q6: Women's heights have a mean of 63.6 inches and a standard deviation
of 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual
Answer:
A
Step-by-step explanation:
Hopefully this helps
The three line segments dividing the two sides of the triangle shown are parallel to the base of the triangle.