A function is an expression that defines a relationship between an independent variable and a dependent variable.
The number of bacteria colonies after 2 hours is 220.
What is a function?It is an expression that defines a relationship between an independent variable and a dependent variable.
We have,
P(t) = 4t² + 27t + 150
Where t = time
P(t) = population of a slowly growing bacteria colony after a particular time
The growth rate after 2 hours:
P(2) = 4 x (2)² + 27 x 2 + 150
P (2) = 16 + 54 + 150
P (2) = 220
Thus the number of bacteria colonies after 2 hours is 220.
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help me please i'll mark as brainliest asap
Answer:
a. A(x) = 3x² - 8x + 5
b. x = ⁸/₃
Step-by-step explanation:
a.
A(x) = shaded area
A(x) = (2x - 3)² - (x - 2)²
= 4x² - 12x + 9 - (x² - 4x + 4)
= 4x² - x² - 12x + 4x + 9 - 4
= 3x² - 8x + 5
b.
ΔABF area = ⁵/₄ cm²
A(x) = 4(⁵/₄)
= 5
Substitution:
3x² - 8x + 5 = A(x) = 5
3x² - 8x + 5 = 5
3x² - 8x = 0
x(3x - 8) = 0
3x - 8 = 0
x = ⁸/₃
x = 0
Since x > 2, x = 0 is not valid;
So, x = ⁸/₃
F(x)=2x^2+7 what is the value f(-2)
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
Which expression is NOT equivalent to the others?
14^2 x 12^2 x 12^1
14^2 x 12^3
14 x 14 x 12 x 12 x 12
14^1 x 14^1x 12^2 + 12^1
find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).
Answer:
x -2y = -4
Step-by-step explanation:
The slope of the line between points C and D is ...
m = (y2 -y1)/(x2 -x1)
m = (7 -13)/(5 -2) = -6/3 = -2
The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -1 = 1/2(x -(-2))
We can rearrange this to standard form.
2y -2 = x +2 . . . . . multiply by 2
-4 = x -2y . . . . . . . subtract 2y+2
x -2y = -4 . . . . . . standard form equation of the desired line
3. The vertices of a rectangle are R(-5, -5), S(-1,-5), 7(-1, 1), and U(-5, 1). After translation,
R' is the point (-11, -11). Find the translation rule and coordinates of U'.
O(x, y) → (x – 6, y + 6); (-11, 7)
O(x, y) → (x – 6, y - 6); (-11, -5)
(x + 6, y-6); (1, -5)
O(x, y) → (x + 6, y + 6); (1,7)
O(x, y) ☺
U' = x - 6 , y + 6
U' = ( - 5 - 6 ) , ( 1 + 6 )
U' = ( - 11 ) , ( 7 )
U' = - 11 , 7
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Evaluate 40x40x402x2x2
Answer:
2,572,800
Step-by-step explanation:
I hope this helps!
Answer: 40 x 40 x 402 x 2 x 2 =128,640
Solve for X
5x-8
Answer is not 4.5 or 9/2
Answer:
[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]
Solving for x in the inequality gives us;
x < 4.5
InequalityWe are given the inequality;
5x - 8 < x + 10
The first step is to use addition property of equality to add 8 to both sides;
5x - 8 + 8 < x + 10 + 8
5x < x + 18
Use subtraction property of equality to subtract x from both sides to get;
5x - x < x + 18 - x
4x < 18
Using division property of equality, we have;
x < 18/4
x < 4.5
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-3 (-3 - n) - 4 = 3n + 5
[tex]-3 (-3 - n) - 4 = 3n + 5\\\\\implies 9+3n -4 = 3n+5\\\\\implies 5 +3n = 3n+5\\\\\text{The equation is true for all values of n.}[/tex]
Can you please help me with number 15
Answer:
142.25 miles
Step-by-step explanation:
239- 96.75
142.25
Find the value of y 7=6+y
Answer:
y is 1
Step-by-step explanation:
6+1=7, so 7 is = to 6+1
1985 x 99 I already know the answer: 196515
Answer:
the answer is 196515
Step-by-step explanation:
If u already knew the why u put upped the question?
Is the sentence Equivalent or non equivalent 12:24,50:100
Therefore, the sentence is Equivalent.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing
number?
3
5
35
58
Answer:
3
Step-by-step explanation:
235 + 23
She uses 235, so 23 is left
235 + something + something = 235 + 23
235 + 20 + something = 235 + 23
subtract 235 from both sides
20 + something = 23
20 + something = 20 + 3
the missing number is 3
The missing number is 3.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Kenya uses mental math to find the sum of 235 and 23.
She uses mental math.
That means,
she breaks the term in simple manner.
And she uses 235, 20, and one other number.
And the other number is 23 - 20 = 3
So, addition,
235 + 23
= 235 + 20 + 3
= 258
Therefore, the required number is 3.
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The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).
[tex]\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)[/tex]
What is the solution
Answer:
the answer is -21
Step-by-step explanation:
(4²-42)+(3²-4)
=16-42+(9-4)
=-26+5
=-21
Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.
Answer: 26 = 4x + 10 and Cheryl goes running four times per week.
Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.
Solve the equation. Express radicals in simplest form.
-4k2 - 13 = -77
Can you please help me with number 16
el valor númerico del término n=15 de la sucesión 5 20 80... es?
Answer:
É 5x3=15
Step-by-step explanation:
A tv originally cost 400$ how much is the final cost of the tv if the sales tax is 8%
Multiply 400 by 8% and add it to 400:
400 x 0.08 = 32
400 + 32 = 432
Answer: $432
...............................
Step-by-step explanation:
.....................
You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss a payment. What are your fees plus interest for the month?
Answer:
multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,
Step-by-step explanation:
Examine the figure. What is the measure of angle b?
B = 180-31
B = 149
Answer: 149
5) The solution to 7X2 + 2X – 1 = 0 can be written as:
Answer:
2/7 or -30/7
Step-by-step explanation:
Use the quadratic formula
a = 7, b = 2, c = -1
-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7
-2 + or - 32/14
-2 + or - 16/7
2/7, or -30/7
Answer:
Step-by-step explanation:
7x² + 2x - 1 = 0
x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))
x = (-2 ± [tex]\sqrt{32}[/tex] ) /14
x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14
x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]
PLS HELP ILL MARK BRAINLIEST
TechWiz Electronics makes a profit of $35 or each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold
combined total of 143 MP3 and
DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression
TechWiz made from MP3 and DVD players last week.
for the combined total profit (in dollars)
Answer:
Total profit=$35x+$18(130-x)
Total profit=$35x+$2340-$18x
Total profit=$17x+$2340
Step-by-step explanation:
The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the company?
Answer:
130
ratio of woman to man is : 5/8
5/8×208=130
Answer:
130 women
Step-by-step explanation:
3 men to 5 women:
We can add the variable x:
3x + 5x = 208
8x = 208
x = 26
3 * 26 = 78 men,
5 * 26 = 130 women.
Can someone help me find w and X for my parallelogram ?? Will mark brainiest :)
Answer:
5x+3x=8x, 6w+2w=8w is the answer
The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?
Answer:
Hayes family: 35 hoursRodrigues family: 40 hoursStep-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.