Answer:
Domain : (-∞, ∞)
Step-by-step explanation:
Domain of a function is a set of x-values of the function.
Therefore, all x-values at which the given function is defined will be the domain of the function.
From the graph attached,
Given function is defined for all x-values.
Domain : Set of all real numbers.
Or Domain : (-∞, ∞)
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.
Answer:
Price = 20, Amount = 14
Step-by-step explanation:
A = Amount of Mangoes
P = Price for 1 Mango
P = A + 6
280 = P * A
insert A+6 for P
280 = (A+6) * A
280 = 6A + A²
280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.
1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2
1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.
1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280
1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.
1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.
1*a+(3)=+-*289^0.5
1*a_1+(3)=289^0.5
1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289
1*a_1+3=17 | -3
1*a_1=14
The total number of mangoes bought by Kumar are 14.
What is mathematical equation?"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."
We have,
Total amount for mangoes(P) = 280
Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6
By using mathematical equation from the question
P×A = 280.....(1)
Substitute P = A+6 in equation (1)
⇒ (A+6) × A = 280
⇒[tex]A^{2}+6A =280[/tex]
Add [tex]3^{2}[/tex] on both sides of above equation
⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]
⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex] (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])
⇒[tex](A+3)^{2} =289[/tex]
⇒[tex]A+3 = \sqrt{289}[/tex]
⇒[tex]A=17-3[/tex]
⇒[tex]A=14[/tex]
Hence, The total number of mangoes bought by Kumar are 14.
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A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
can someone help please??
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.
help please hurryyyy!!! help pls hurry
Answer:
3 is 18
4 is 14
5 is 10
6 is 6
I hope this helps
Daniel is creating a rectangular garden in his back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least 58 feet and no more than 66 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answer:
15 ≤ w ≤ 19
Step-by-step explanation:
Given that :
Length of garden = 14 feets
Perimeter must be atleast 58 but no more than 66
The range of value for the width ;
Perimeter = 2 length + 2 width
Perimeter = 2(14) + 2w
If perimeter = 58
58 = 28 + 2w
58 - 28 = 2w
30 /2 = w
w = 15
If perimeter = 66
66 = 28 + 2w
66 - 28 = 2w
38 = 2w
w = 38 / 2
w = 19
Range of the width should be atleast 15 and not more Than 19
Hence,
15 ≤ w ≤ 19
HELPPPPP PLEASE !!!!!
Answer:
4th option 0,5,10,15
Step-by-step explanation:
Let's check if the first choice is geometric.
2*3 = 6. is 6*3 = 18, yes! is 18*3 = 54. Yep! its geometric
the second option multiplies by -2, it is geometric
the third option multiplies by 1/5, it is geometric
The fourth option does not multiply by anything common, it is Not geometric
Answer:
0,5,10,15 is not the sequence of geometric.
Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.
Step-by-step explanation:
This is totally correct!
Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050
Select the scenarios that correctly represent the given graph.
A.The amount of money in a bank account increases by 50% every year.
B.The number of oranges on a tree doubles every month.
C.The resale value of a house increases by $150 every month.
D.The amount of a substance is one and a half times larger after every minute.
E.The profit of a company increases 150 times every year.
Answer:
i think c
Step-by-step explanation:
Find a polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity3 , and 2 as a zero of multiplicity 1.
The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)
To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.
Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.
A polynomial function with these zeros and multiplicities can be written as:
f(x) = (x + 2)³ × x³ × (x - 2)
To make it a polynomial of degree 7, we can multiply it by an additional linear factor:
f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)
Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.
Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.
Therefore, we don't need to include the "x - r" factor, and the final polynomial is:
f(x) = (x + 2)³ × x³ × (x - 2)
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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.
To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.
Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).
Multiplying these factors together, we obtain:
(x + 2)^3 * x^3 * (x - 2)
Expanding this expression, we get:
(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)
To simplify further, we multiply the terms:
(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)
Expanding again, we obtain:
x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2
Combining like terms, we get:
x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2
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A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Answer:[tex]18+1.5c[/tex]
Step-by-step explanation:
Given
A large cheese pizza costs $18
Each topping add on costs $1.50
for c toppings added, the prize becomes
[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]
Which of the following is equivalent to 2a^7 + 5a^7?
Answer:
??????
I don't exactly see the following in your question srry :(
But I think it should be 2a^7 + 5a^7 = 7a^7
Answer:
(2+5)a^7
Step-by-step explanation:
i took the test hope this helps ^^
pls telll/pls tell pls tell pls tell
Answer: 2
Step-by-step explanation:
Given
The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]
According to the remainder theroem
[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]
Put [tex]x=1[/tex] in the polynomial to get the remainder
[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]
So, we get the remainder 2.
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
Which pair of angles is complementary?
V
31°
56°
699
340
o
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
helpppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are
12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.
a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.
[tex] \frac{26 + 27}{2} = 26.5[/tex]
The median is 26.5
b. The range is maximum value minus minimum value.
[tex]48 - 12 = 36[/tex]
c. The mode is the number that appear the most
That number is 31.
d. 20 students took apart of this survey.
Circle P below, PC = 4 feet and m CD = 80°. Determine, to the nearest tenth, the area of the blue sector enclosed by
Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
How many three digit numbers greater than 540 can be formed using the digits
0,2,4,5,6,8 ?
Answer:
Step-by-step explanation:
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
What is The answer , what goes in the QR
may be QR also equal to 34
Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at the end of the 8 years, how much money, in total, must he pay Josh? The formula for simple interest is I = prt.
Answer:
$2100
Step-by-step explanation:
I = prt
I = $1500(0.05)(8)
I = $1500(0.4)
I = $600
$1500 + $600
= $2100
20. Write an expression in simplest radical form to represent the area of the rectangle below.
I need a plain answer please, don't write a paragraph explaining, thank you.
Answer:
Just add them up and you will get this answer
Step-by-step explanation:
Just add them up and you will get this answer
The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
What is perimeter ?Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.
According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.
We know area of a rectangle is product of it's length and width.
Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].
∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .
= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].
= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].
= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
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help me with this mathematics
Answer: B
Step-by-step explanation: 65/100 = 65%
for a family with 6 children what is the probability that they have exactly one boy and 5 girls
Answer:
Ok so the probability would be 16%(can be round to)
Step-by-step explanation:
A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?
Answer:
$252
Step-by-step explanation:
First you need to find how much is 20% is of 210
210*0.20=$42
Add 42 dollars to 210
210+42=$252
So the starting price per bag that he was selling was $252
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
Help someone plsss!!!!!!!!!!
Answer:
150 degrees.
Step-by-step explanation:
We know, 1 Hour angles = 15 Degrees
So, 10 hour walking = 10*15 = 150 degrees
Hope this will help. Please mark me brainliest.
Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.
Answer:
inglese please
Step-by-step explanation: