The values of b and c are -4 and 4 respectively
How to determine the values of b and c?The function is given as:
f(x) = x^2 + bx + c
Differentiate f(x)
f'(x) = 2x + b
Set to 0
2x + b = 0
Solve for b
b = -2x
The minimum is (2, 0).
So, we have:
b = -2 * 2
b = -4
Substitute b = -4 in f(x) = x^2 + bx + c
f(x) = x^2 - 4x + c
Substitute (2, 0)
0 = (2)^2 - 4(2) + c
This gives
0 = 4 - 8 + c
Evaluate
c = 4
Hence, the values of b and c are -4 and 4 respectively
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−14 − 8x = −2(−3x + 7)
Answer:
-8x=6x+14-14
-8x-6x=0
-14x=0
X=0/14
X=0
?????
Answer:
X= 0 or Zero
Step-by-step explanation:
Steps To solve this problem... (8 steps)
1) Rearrange terms:
−14 − 8x = −2(−3x + 7)
−8x − 14 = −2(−3x + 7)
2) Distribute:
−8x − 14 = −2−(3x + 7)
−8x − 14 = 6x - 14
3) Add 14 to both sides of the equation:
−8x − 14 = 6x - 14
−8x − 14 + 14 = 6x - 14 + 14
4) Simplify (Add the numbers):
-8x = 6x
5) Subtract 6x from both sides of the equation:
-8x = 6x
-8x - 6x = 6x - 6x
6) Simplify (Combine like terms):
-14x = 0
7) Divide both sides of the equation by the same term:
-14x = 0
-14x/-14 = 0/-14
8) Simplify (Cancel terms that are in both the numerator and denominator):
X= 0/-14
Hope this Helped! :)
please help it almost due to 15 points
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
Which decimal is equivalent to 2/9 ?
A) 2.2 repeating
B) 2.9
C) 22222
D) 0.2 repeating
Answer:
D) 0.2 repeating
Step-by-step explanation:
2÷9=0.2 repeating
Answer:
D
Step-by-step explanation:
please help me! where are the black dots located?!
the bottom square: -6,-5
the top square: -2,1
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher
Answer:
Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.
14 years ago,
x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')
x - 14 = 3(x - 34)
x - 14 = 3x - 102
2x = 88
x = 44
Ishaan is 44 years old now.
Answer:
Christopher is 44 and ishaan is 24
Step-by-step explanation:
So im guessing this question is asking how old they are now
if christopher is 20 years older he will always be 20 years older
so we need to find how old he was 14 years ago
he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old
then add 14 years and he is 24
show graph of f(-x+2)
The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of
75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent
chaperones have signed up and this is enough to satisfy the requirement, how many students must
be in the 8th-grade class?
Pls answer with an equation
Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
3.) 4(m + 5) + 42, (m = -2)
Answer:
54
Step-by-step explanation:
The variable m equals -2, so what you would do is plug it into the equation.
4(-2+5)+42
Next you would distribute the 4 into -2 & 5.
(-8+20) + 42
Add what's in the parenthesis.
12 + 42
Once you add that you will be left with your answer which is 54.
Hope this helped!
What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
if the x variant of 24 was 8 how to I solve?
Answer:
you substitue 8 for x then you sovle it like a normal equations
Step-by-step explanation:
thanks for points :D
Answer:
8 times 3
Step-by-step explanation:
since 8 times 3 = 24
Need Help!!
1) What is the total of all new transactions?
$8.25
$16.23
$22.56
$47.04
2) What is the new balance?
$312.64
$295.47
$259.74
$244.64
Answer:
The answers are:
1, 47.04
2, 295.47
hope this helps
Answer:
1) $47.04
2) $295.47
Step-by-step explanation:
1) Add up Transactions:
$16.23 + $22.56 + $8.25 = 47.04
2) Start with the Previous Balance, subtract Payments, add Transactions then add the Finance Charge (from a previous question).
$312.64 - $68 + $47.04 + $3.79 = $295.47
What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)
Enter your answer in the box. (1/10 and 1/100 are fractions)
Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]
[tex]5 \times 100 = 500[/tex]
[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]
[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]
[tex]500 + 0.60 + 0.07 = 500.67[/tex]
-(2g - 4)
I don’t what the answer is
Answer:
−2+4
Step-by-step explanation:
Answer:
-2g+4
Step-by-step explanation:
you have to distriute the negitive
-2g+4
so that is your answer
i hope this helps :)
Each week, the price of oranges at the farmer's market increases by 20%. The price of oranges this week is 2.50 What was the price last week
Answer:4.50
Step-by-step explanation:
please help giving all my points
Answer:
Step-by-step explanation:
1. Subtraction
2.multiplication
Answer:
number 2. is Subtraction Property of equality and number 3 is multiplication property of equality.
Step-by-step explanation:
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
y = -5x
y = 2x - 5
y = -5x + 2
Answer:
y= -5x+2 is the equation.
Answer:
y= -5x + 2
Step-by-step explanation:
y = mx + b(we will put the points of "x" and "y" into this formula)
2= -5 (0) +b( as "x" is "0" and is multiplied by "-5" it will become "0" giving us the value of "b")
2=b(finally we will substitute this answer in the formula we've written)
therefore the answer will be:
y= -5x + 2
Please help I do not understand it,Cos A=
Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....
Answer:
Step-by-step explanation:
Remark
This is an arithmetic series. Each term differs by 6 from the previous one.
Givens
a1 = 21
d = 6
Formula
a_n = a1 + (n - 1)*d
Sample
Try it.
Let's let n = 3 which we have the answer for.
a_3 = 21 + (3-1)*6
a_3 = 21 + 2 * 6
a_3 = 21 + 12
a_3 = 33
That's exactly what the 3rd term is.
Write a proportion (or equation) to find the part, whole or percent. Then, solve.
What percent of 50 is 10?
Proportion or equation:
Answer: _______________________
What number is 50% of 20?
Proportion or equation:
Answer: _______________________
12 is 3% of what number?
Proportion or equation:
Answer: ______________________
Answer:
20%
Step-by-step explanation:
What is 10 as a percentage of 50? 1000 ÷ 50 = 20. Answer: 10 is 20% of 50.
Which one is it??????
The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?
Answer:
Cost of 20 boxes = RS. 188
Step-by-step explanation:
Given:
Length of box = 30 cm = 0.3m
Width of box = 40 cm = 0.4 m
Height of box = 50 cm = 0.5 m
Cost per m² = Rs. 10
Find:
Cost of 20 boxes
computation:
TSA of box = 2[lb + bh + hl]
TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]
TSA of box = 2[0.12 + 0.2 + 0.15]
TSA of box = 0.94 m²
Cost of 20 boxes = 0.94 x 20 x 10
Cost of 20 boxes = RS. 188
what is this type of question called and how can i solve it?
Answer:
Total number of year pass [n] = 22 year (Approx)
Step-by-step explanation:
Given:
Beginning price of cottage [P] = $25,000
Price reduce every year [r] = 10% = 0.1
Final price [A] = $2,500
Find:
Total number of year pass [n]
Computation:
A = P[1-r]ⁿ
2,500 = 25,000[1-0.1]ⁿ
0.1 = [0.9]ⁿ
Total number of year pass [n] = 22 year (Approx)
What is the degree of X4 - 3x + 2?
A. 3
B. 4
O o O o
C. 5
D. 2
SUBMIT
Answer:
the degree of the equation is 1
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
help me out i would really appreciate it
Answer:
I think they both are linear
help........................................................................
Step-by-step explanation:
what is Fahrenheit use celsius bruuuhhhh
Answer:
C. The temperature decreased by 6.75 degrees F
Step-by-step explanation:
If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)
9514 1404 393
Answer:
-374
Step-by-step explanation:
f(8) = -8 +6 = -2
g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187
Then the product is ...
(g•f)(8) = g(8)•f(8) = 187·(-2)
(g•f)(8) = -374
solve for x: 17/x+10 = 16/x
x=____
Answer:
X = -1/10
Step-by-step explanation:
[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]
PLZ HELP 10 POINTS FOR THIS QUESTION PLZ PLZ
Answer:
Tried my best..... Hope it helps! :)
umm what is this?????
Answer: The correct answer is 1/2 ÷ 1/11.
Step-by-step explanation:
Answer:
1/2 ÷ 1/11 :)
Step-by-step explanation:
11/2= 5.5 and so does 1/2 ÷ 1/11
None of the other answers equal to the same amount.
1/2 ÷ 3/14= 2.3
1/2 + 1/10= 5
8/11 + 1/2= 1.45
Hope this helps! <3