Answer:
Step-by-step explanation:
x² - 3x - 28
What factors multiply to -28 and add to -3?
-7 and 4.
(x - 7) (x + 4)
Answer:
(x - 7)(x + 4)
Step-by-step explanation:
To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?
Simple guess-and-check will lead you to the numbers -7 and 4.
-7 x 4 = -28
-7 + 4 = -3
These numbers will make up the factored equation.
x² - 3x - 28
(x - 7)(x + 4)
You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.
(x - 7)(x + 4) ----> x² - 7x + 4x - 28 ----> x² - 3x - 28
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Answer:
1814400
Step-by-step explanation:
A typewriter types 750 words per hour. If she works for 8 hours a day, find the number of words she type
in a day.
Answer:
8,000 words
Step-by-step explanation:
If a typewriter types 750 words per hour and she types 8 hours a day she would write 8,000 words a day because 750 x 8 = 8,000.
A motorbike was discounted by 10% and sold for $5220. What was the cost of the motorbike before the discount was applied?
Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}
Answer:
A= 4,5
Step-by-step explanation:
the required ans is above
Answer:
[tex]\{ 16, 25\}[/tex]
Step-by-step explanation:
[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]
what letter and the answer
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
Therefore, 110 calories are in 1 serving of milk.
Given, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda.
Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk.
Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.
What are Linear Programming problems?Linear programming, commonly known as LP, is a straightforward technique for representing complex real-world interactions by means of a linear function.
Now,
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
For Joe, the equation to show the amount of calories is
2x + y + z = 530 -----(1)
For Darius, the equation to show the amount of calories is
x + 2y = 370 ------(2)
For Marian, the equation to show the amount of calories is
3x + z = 510 ------(3)
Now, y=370/2-x/2 and z=510-3x substitute in the equation 2x + y + z = 530.
2x+185-0.5x+510-3x=530
⇒695-1.5x=530
⇒1.5x=165
⇒x=110 calories
Hence, 110 calories are in 1 serving of milk.
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Anna and Brian share £24.50
in the ratio 2:5. How much
does each person get?
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
(2 • (-n - 3)) - 7 • (2n + 5)
-n - 3 = -1 • (n + 3)
-2 • (n + 3) - 7 • (2n + 5)
-16n - 41 = -1 • (16n + 41)
Use the leading term for your answer
-16n - 41
Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750n. What is the percentage change in volume between cylinders A and B? Cylinder B is 50% smaller than cylinder A. Cylinder B is 75% smaller than cylinder A Cylinder B is 50% bigger than cylinder A Cylinder B is 200% bigger than cylinder A
Answer: Cylinder B is 50% bigger than cylinder A
Cylinder A volume:
= πr²h
= π(10)²(5)
= 500π
Cylinder B volume:
= 750π
Cylinder B bigger than Cylinder A by:
= (750π - 500π)/500π × 100 = 50%
[tex]\hrulefill[/tex]
Hence, cylinder B is bigger than cylinder A by 50%
Answer:
Cylinder B is 50% bigger than Cylinder A
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Cylinder A
Given:
r = 10 inh = 5 inSubstituting the given values into the formula:
[tex]\implies \sf Volume_A=\pi (10)^2(5)=500\pi \:in^3[/tex]
Cylinder B
Given:
volume = 750 in³[tex]\implies \sf Volume_B=750\pi \:in^3[/tex]
Percentage Change
[tex]\begin{aligned}\sf percentage\:change & =\sf \dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{Volume_B-Volume_A}{Volume_A} \times 100\\\\& = \sf \dfrac{750\pi-500\pi}{500\pi} \times 100\\\\& = \sf \dfrac{1}{2} \times 100\\\\& = \sf 50\%\end{aligned}[/tex]
Therefore, Cylinder B is 50% bigger than Cylinder A
Mike buys a large goldfish for $22 and food for his new friend
that costs $3. He receives a birthday with $5 in the afternoon.
Then Mike had $7. How much money did he start the day off
with
Answer:
Mike started off the day with $27.
Step-by-step explanation:
Using the information given to us, we can set up an equation. Knowing that Mike ended the day with $7, and the amount of money that he spent and received can help us set up an equation. The amount of money that he started the day off with, is unknown, and recognized as x. [tex]7=x-22-3+5[/tex]
To solve this, we can simply solve the numbers that we know on the right hand side, to get this:
[tex]7=x-20[/tex]
Now, to get our final answer we must isolate x. We can do this by simply adding 20 to both sides. This cancels out the -20 on the right, and makes the 7 on the left become 27.
[tex]27=x[/tex]
Therefore, Mike started the day off with $27.
In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?
-4.625,-5.2,-4 4/5, -4 8/11 order least to greatest
Answer:
-4.625, -4 8/11, -4 4/5, -5.2
Step-by-step explanation:
-4 8/11 = -4.72727272723
-4 4/5 = -4.8
kelly recorded the amount of money she earned y for hours worked x in the table shown
Answer:
10
Step-by-step explanation:
4 overtime hours - regular pay + $40
Total $ earned - $160
Total hours - 12 hours (8 reg + 4 overtime)
$160 - $40 = $120
$120/12 = $10
Her regular pay is $10 per hour.
Pineapples were packed in three large crates. for each crate, the weight of every pineapple in the crate was recorded. here are three box plots that summarize the weights in each crate. select all of the statements that are true, according to the box plots. (select all that apply. ) the weights of the pineapples in crate 1 were the most variable. the heaviest pineapple was in crate 1. the lightest pineapple was in crate 1. crate 3 had the greatest median weight and the greatest iqr. more than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2
A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers. The difference between these numbers is the range which measures variability.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The difference between the first quartile and the third quartile is the interquartile range.
For the first box plot:
Maximum number = 6Minimum number = 1.5Range = 6 - 1.5 = 4.5Median = 4First quartile = 3Third quartile = 4.5IQR = 4.5 - 3 = 1.5For the second box plot:
Maximum number = 3.5Minimum number = 1 Range = 3.5 - 1 = 2.5Median = 2First quartile = 1Third quartile = 2.5IQR = 2.5 - 1 = 1.5For the third box plot:
Maximum number = 5Minimum number =2.5Range = 5 - 2.5 = 2.5Median = 4First quartile = 3.5Third quartile = 4.5IQR = 4.5 - 3.5 = 1Please find attached the box plots. To learn more about box plots, please check: https://brainly.com/question/27215146
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[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it
Answer:
1. 3.33333333333
2. -1.3
3. 2.61904761905
4. 2.00833333333
A triangle has a base of 53 and a height of 21. What is the hypotenuse?
Answer:
Approximately 57
Step-by-step explanation:
The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!
Answer:
57.008771255 or 57
Step-by-step explanation:
53^2+21^2=57.008771255^2
What is 4 ( x − 1 ) ≥ 2 x + 6 as an improper fraction?
Answer:
18/5
Step-by-step explanation:
you have to times then divide
Please help me, I have more
Answer:
i dont have it the answer ofvthis
The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1
Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.
How to determine the equation of the triangle's line of symmetry?First of all, we would determine the midpoint where the line of symmetry passes through points A and B:
Midpoint at point A = (3 + 7)/2 = 10/2 = 5.
Midpoint at point B = (6 + 2)/2 = 8/2 = 4.
Point D = (5, 4)
Mathematically, the standard equation of a line is given by y = ax + b.
D(5, 4); 4 = 5a + b ....equation 1.
C(4, 3); 3 = 4a + b ....equation 2.
Subtracting eqn. 2 from eqn. 1, we have:
1 = a
Next, we would find the value of b:
4 = 5a + b
4 = 5(1) + b
b = 4 - 5
b = -1.
Therefore, the equation of the triangle's line of symmetry is given by:
y = ax + b
y = x(1) + (-1)
y = x - 1.
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Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways
How to solve the combination problem?The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:
= 10!/(10! - 3!)3!
= 10!/7!3!
= (10 × 9 × 8)/(3 × 2)
= 120
When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:
= 8!/(8! - 4!)4!.
= 8!/4!4!
= (8 × 7 × 6 × 5)/(4 × 3 × 2)
= 70
4! in expanded form will be:
= 4 × 3 × 2
= 24
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20 divided by tann(45°)
Answer:
20
Step-by-step explanation:
as we know
[tex] \tan {45}^{0} = 1 \\ [/tex]
20/ 1=20
is correct answer
Make c the subject:
A=b+cd
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
Order these numbers from least to greatest. 6.2052, 6.2, 6.75, 6.705
Answer:
6.2 , 6.2052 , 6.705 , 6.75
Step-by-step explanation:
Least to Greatest!
PLEASE HELP!!! LOOK AT PIC PLEASE!!
Answer: C, D
Step-by-step explanation:
Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.
what is the slope of (4, −6) and (0, 2)
Step-by-step explanation:
please mark me as brainlest
Select the correct answer.
Consider the function given below.
f(x)= |x-51 +2
Which of the following statements about the y-values of the graph of the function is true?
OA. The y-values are all less than or equal to 5.
B.
The y-values are all greater than or equal to 5.
OC.
The y-values are all less than or equal to 2.
D.
The y-values are all greater than or equal to 2.
Answer: The correct answer is D.
Step-by-step explanation: A and B are incorrect because you can plug in 5 for x to get 2, and there are multiple values that can be greater than 5. C is incorrect because you cannot reach lower than 2. Therefore, the correct answer is D.
The y values are all greater than or equal to 2.
The correct option is D.
Given,
Function : f(x) = |x − 5| + 2
Here,
A function is a law that relates a dependent and independent variable.
The function is
f(x) = |x − 5| + 2
The domain of the function is all negative and positive integers.
The range is all the possible function values, the function value will always be greater than or equal to 2.
At x = 5 , f(x) = 2
Therefore, the y values are all greater than or equal to 2. The correct option is D.
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Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
Does anyone know the answer to this ?
Answer:
5182
Step-by-step explanation:
To figure out the mean of a number, you must add all of the numbers together and divide by the amount of numbers you added up.
To find the total sum, we just need to reverse this process.
We are already given the final number so all we have to do is multiply the mean by 100 and we have our answer of 5182.
Hope this helps :D
Which two details support the key idea that pollution is threatening marine life?
Marine Debris
Source: The National Oceanic and Atmospheric Association
Marine debris is a persistent pollution problem that reaches throughout the entire ocean and Great Lakes. Our ocean and waterways are polluted with a wide variety of marine debris, ranging from tiny microplastics, smaller than 5 mm, to derelict fishing gear and abandoned vessels. Worldwide, hundreds of marine species have been negatively impacted by marine debris, which can harm or kill an animal when it is ingested or they become entangled, and can threaten the habitats they depend on. Marine debris can also interfere with navigation safety and potentially pose a threat to human health.
All marine debris comes from people with a majority of it originating on land and entering the ocean and Great Lakes through littering, poor waste management practices, storm water discharge, and extreme natural events such as tsunamis and hurricanes. Some debris, such as derelict fishing gear, can also come from ocean-based sources. This lost or abandoned gear is a major problem because it can continue to capture and kill wildlife, damage sensitive habitats, and even compete with and damage active fishing gear.
Answer:
Worldwide, hundreds of marine species have been negatively impacted by marine debris, which can harm or kill an animal when ingested or they become entangled, and can threaten the habitats they depend on.
This lost or abandoned gear is a major problem because it can continue to capture and kill wildlife, damage sensitive habitats, and even compete with and damage active fishing gear.
Step-by-step explanation:
The key idea is that pollution is threatening marine life impact of marine life and the source of marine debris.
Marine debris is risky to a wide variety of marine animals. Animals can ingest debris, which can cause health problems or death, or they may get caught in debris, which can be equally harmful. In addition, marine debris harms the environments in which many species rely on being alive.
The greater part of marine garbage is caused by human activity on land. Marine debris is produced by poor waste management methods, dumping waste, stormwater discharge, and natural disasters such as tsunamis and hurricanes. Furthermore, ocean-based sources, such as wasted fishing gear, contribute to the problem.
The key idea is that pollution is threatening marine life impact of marine life and the source of marine debris.
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