9514 1404 393
Answer:
f(x) = 2(x +2)^2(x -5)
Step-by-step explanation:
The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...
f(x) = a(x +2)^2·(x -5)
The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...
f(x) = 2(x +2)^2(x -5)
in order to raise enough money to buy a travelling bag, Ebuta deposits the sum of $200 in a savings account for 2 years at 5% per month interest on the initial principal. How much will be accruing to him at the end of the period
Answer:
$200 times 5% = $10/MONTH
Step-by-step explanation:
$10 times 24 because theres 24 months in 2/YRS
$240 additional accruing funds at the end of the period!
Can someone help me with this problem 9(n+3)<10(n+1)
[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]
see question above ^^
What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
Find x for brainiest 3
Answer:
115
Step-by-step explanation:
[tex]65 + x = 180 \\ x = 180 - 65 \\ x = 115[/tex]What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
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Which is the quotient for 0.9 divide by 0.75
Answer:
1.2!
Step-by-step explanation:
The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
0.90 and 0.75
Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have
⇒ 0.90 ÷ 0.75
⇒ 0.90 / 0.75
⇒ 1.20
The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.
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convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest
A store pays $85 for a picnic table and marks the price up by 25%. What is the new price
An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?
Answer:
64
Step-by-step explanation:
Since the total area of the rectangle (in this case number of leds) is:
Total LEDs = rows * columns
you can just replace the values:
1024 = 16 * x
And then divide 1024 / 16 to find x
x = 64
Relatively Simple Math, pls lend a hand. All my points and Brainliest
A city dumps plastic shade balls into a reservoir to prevent water from evaporating during a drought. It costs $5760 for 16,000s shade balls. How much dose it cost for 12,000 shade balls?
Answer:
$4320
Step-by-step explanation:
it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'
Explain how you could solve the following using equal groups.
Linda wants to bake 48 cookies. The cookie tray has room for 8 cookies. How many batches will she have to bake to make 48 cookies?
Answer:
6
Step-by-step explanation:
48/8=6
If 16^x=13. what is the value of 2^2x+1
[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]
Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold blank adult tickets.
Answer:
60 adult tickets were bought.
Step-by-step explanation:
9514 1404 393
Answer:
80 tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...
8a +4(a -30) = 840
12a -120 = 840 . . . . . . eliminate parentheses
a -10 = 70 . . . . . . . . . divide by 12
a = 80 . . . . . . . . . . . add 10
The drama class sold 80 adult tickets.
__
Check
The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...
50($4) +80($8) = $200 +640 = $840 . . . . as required
A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill
The greatest number of pots that can be filled is 3.
In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.
Number of pots that can be filled = 1 1/4 ÷ 2/5
= 5/4 ÷ 2/5
= 5/4 x 5/2 = 25/8 = 3 1/8
Thus, the greatest number of pots that can be filled is 3.
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work out the value of 10²-4³ give ypur answer as a power of 6
Answer: 36
Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
Work out
47% of £900
Answer:
47 percent *900 =
(47:100)*900 =
(47*900):100 =
42300:100 = 423
Now we have: 47 percent of 900 = 423
Question: What is 47 percent of 900?
Percentage solution with steps:
Step 1: Our output value is 900.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$900=100\%$.
Step 4: Similarly, $x=47\%$.
Step 5: This results in a pair of simple equations:
$900=100\%(1)$.
$x=47\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{900}{x}=\frac{100\%}{47\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{900}=\frac{47}{100}$
$\Rightarrow x=423$
Therefore, $47\%$ of $900$ is $423$
Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.
Answer:
The width is 2.5 inches
Step-by-step explanation:
The given ratio is 7 ft to 1 in
Now we will have 17.5 to x in
x * 7 = 17.5 * 1
7x = 17.5
x = 17.5/7
x = 2.5 inches
5b + 6 - 6b + 2 = 19
Answer:
i got b= -11
Step-by-step explanation:
Answer:
b=-11Step-by-step explanation:
5b + 6 - 6b + 2 = 19
5b-6b+6+2=19
-b+8=19
b=8-19
b=-115(-11) + 6 - 6(-11) + 2 = 19
-55 + 6 + 66 + 2 = 19
-55+74=19
19=19
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answer: 252 i think i tried and i think its right
Janice bought 4 oranges for $3.40. what is the unit price.
simplify 5/13 ( 75 - 49)
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
For all horizontal lines the domain is
Answer: All real numbers
Step-by-step explanation:
It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.
How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
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You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?
Step-by-step explanation:
Number 1
Number of spoons= no of boxes × individual no of spoons
= 100 × 8 = 800 spoons.
Number of cones = no of cones in a box × no of boxes
= 60 × 8 = 480
Number of cup = no of cups in a box × no of boxes
= 80 × 8 = 640.
Total = 800 + 480 + 640 = 1920
Number 2
If everyone needs a cup, spoon and cones, it means they all need 3 items.
no of people you can serve = 1920 ÷ 3
= 640 people.
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?
Answer:
4 + 4 + 32 = 40 rows
Step-by-step explanation: