Note: The function is not an equation. I will form and solve an equation to answer the question.
Answer:
C. Two real solutions
Step-by-step explanation:
We have the following function:
f(x)=2(x-1)^2+4
It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.
Solve for x when:
f(x)=12
Substituting the function:
2(x-1)^2+4=12
Subtracting 4:
2(x-1)^2=8
Dividing by 2:
(x-1)^2=4
Taking square root:
x-1=\pm\sqrt{4}
Solving:
x=1\pm2
We have two real solutions x=3 and x=-1
Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.
The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.
What is the discriminant?The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.
The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,
D = b² - 4ac
If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.The equation is given below.
f(x) = 2(x - 1)² + 4
f(x) = 2x² - 4x + 2 + 4
f(x) = 2x² - 4x + 6
The discriminant is given as,
D = (-4)² - 4×2×6
D = 16 - 48
D = - 32
D < 0
The roots are complex root.
The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.
More about the discriminant link is given below.
https://brainly.com/question/15884086
A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.
Answer:
The area of the land in square meters is 1.924 x 10⁷ m²
Step-by-step explanation:
Given;
length of the wilderness, L = 3.7 × 10⁶ meters
width of the wilderness, W = 5.2 × 10⁵ meters
Area of the land in square meters is given by;
A = L x W
Where;
A is the area of the land
L is length of the land
W is width of the land
A = 5.2 × 10⁵ meters x 3.7 × 10⁶ meters
A = 5.2 × 10⁵ meters x 37 × 10⁵ meters
A = 192.4 × 10⁵ m²
A = 1.924 x 10⁷ m²
Therefore, the area of the land in square meters is 1.924 x 10⁷ m²
Pls help! I’m giving out brainliest to the first person who answers!
Answer:
1=137
2=43
3=137
4=43
5=43
6=137
7=43
8=137
HURRY I HAVE 5 MINUTES LEFT!!!!
Which expression has a positive quotient?
-3/4 and -2/3
-1/8 and 3 1/5
2 2/7 and -1-5
-6 and 5/3
Answer:
Two negatives or two positives= positive
one negative and positive=negative
Step-by-step explanation:
-3/4 and -2/3 positive
-1/8 and 3 1/5 negative
2 2/7 and -1/5 negative
-6 and 5/3 negative
If a function is y = x - 8 , then what is the value of the function when x is 10
Answer:
2
Step-by-step explanation:
Simplify
y = x - 8
Substitute
y = 10 - 8
10 - 8 = 2, so y = 2
which of the following rational numbers is equal to 2.4 repeating?
22/9, 24/9, 26/9, 28/9
The answer would be 22 over 9. I hope this helps with the test
Answer:
22/9
Step-by-step explanation: I had this answer and got it right.
How many different solutions does (x+1)(x-1)(x+2)(x+1) have?
Answer:
Perhaps this will help. We have 11 identical candies, that we wish to distribute between 3 children C1. C2, and C3. (Possibly one or more of the children will get no candies.) For every solution of x1+x2+x3=11, we have a way of distributing the candies, x1 to C1, x2 to C2, and X3 to C3. conversely, every distribution of candies gives us a solution to x1+x2+x3=11.
Step-by-step explanation:
Can u please answer my recent question!!!!
A man sold two radios at Rs. 4800 each. On one he gains 20% and on the another
he loses 20% . Find the gain or loss percent in the whole transaction.
SP of first Radio = Rs. 4800
Gain% on first radio = 20%
Find:The gain or loss percent in the whole transaction.
Solution:We know that,
CP = (100/100 + gain% ) * SP
Hence,
⟹ CP of first Radio = (100/100 + 20) * 4800
⟹ CP of first Radio = 100 * 4800/120
⟹ CP of first Radio = Rs. 4000
Similarly,
SP = (100 - loss%/100) * CP
⟹ 4800 = (100 - 20/100) * CP of second Radio
⟹ 4800 * 100/80 = CP of second Radio
⟹ Rs.6000 = CP of second Radio
Now,
Total SP of radios = 4800 + 4800 = Rs. 9600
Total CP of radios = 4000 + 6000 = Rs. 10000.
We observe that,
CP > SP
So, a loss is occured.
⟹ Loss = CP - SP
⟹ Loss = 10000 - 9600
⟹ Loss = Rs. 400
Now,
Loss% = (Loss/CP) * 100
⟹ Loss% = 400/10000 * 100
⟹ Loss% = 4%
∴ The loss occurred in the whole transaction is 4 %.
I hope it will help you.
Regards.
Answer:
your answer is in pic siso❤❤
❤❤
Which of the following equations is linear?
y= 1x1
y=2
x2 + 5 = y
y= 1
Answer:
x2 + 5 = y
Step-by-step explanation:
switch them around
y = -2x -5
this is linear
What is the value of the expression (-2)^3 (3)^0 (4)^-2
Answer:
(-1)/2
Step-by-step explanation:
Simplify the following:
(-2)^3×3^0/4^2
4^2 = 16:
((-2)^3×3^0)/16
3^0 = 1:
(-2)^3/16
(-2)^3 = (-1)^3×2^3 = -2^3:
(-2^3)/16
2^3 = 2×2^2:
(-2×2^2)/16
2^2 = 4:
(-2×4)/16
2×4 = 8:
(-8)/16
The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:
Answer: (-1)/2
Part A
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.
A. an = 14 + 9(n + 1)
B. an = 5 + 9n
C. an = 14 + 9n
D. an = 5 + 9(n + 1)
Part B
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
A. an = an – 1 + 5; a1 = 14
B. an = an – 1 + 23; a1 = 9
C. an = an – 1 + 14; a1 = 9
D. an = an – 1 + 9; a1 = 14
Answer: C
For part b, the answer is also C.
Step-by-step explanation:
14 Is the rate for the first pizza, then add 9 per pizza after that, so an=14+9n
The variable q varies inversely as the cube of v. If k is the constant of variation, which equation represents this situation
a. qv^3=k
b. q^3v=k
c. q/v^3=k
d. q^3/v=k
Answer:
The answer is A.
Step-by-step explanation:
The equation represents this situation will be qv³ = k. Then the correct option is A.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The variable q varies inversely as the cube of v.
q ∝ 1/v³
q = k/v³
Where k is the constant of variation.
Then the equation represents this situation will be
q = k/v³
qv³ = k
Then the correct option is A.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
The speed limit on a road is 45 miles per hour. What is this rate in miles per minute?
1 hour = 60 minutes
Divide miles per hour by 60 minutes:
45/ 60 = 0.75 miles per minute
If you need the answer as a fraction 0.75 = 3/4 miles per minute.
Paul bought a stock for $98. He sold it for $62. What was the percent markdown on the stock? Enter the missing part of the answer.
Answer:
it was a 36.73% decrease
Step-by-step explanation:
62/98 = .63265
1-.63265 = .3673
Rick bought 5 yogurt bars at a snack shop. Each yogurt bar cost $1.70.
Complete the table to show the price of 2, 3, 4, and 5 yogurt bars.
Number of Yogurt Bars Price
1 $1.70
2 $
3 $
4 $
5 $
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each table entry has $1.70 added to the previous entry.
Bars, Price
1, $1.70
2, $3.40
3, $5.10
4, $6.80
5, $8.50
Question 3
10 pts
In the transformed quadratic functiong (X) = (x – 8)2 + 5, two
transformations occurred: horizontal translation to the right by 8 units
and
O Vertical translation up by 5 units
O Vertical Translation down by 5 units
Vertical stretch by a factory of 5
O Reflection over the X – axis
10t
Answer:
Vertical translation up by 5 unitsExplanation:
From vertex form of quadratic function g(x)=a(x-h)²+k the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²
It means the h determines how many units we moved parental graph horizontaly (to the left if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly (down if h<0, up if h>0)
g(x) = (x - 8)² + 5 ⇒ h = 8, k = 5
So if h and k are >0 it means the parental graph was moved to the right and up.
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying t, is t = 1/500 d. how long will it take the airplane to travel 800 miles.
Answer:
Step-by-step explanation:
t = 1/500d....when d = 800
t = (1/500 * 800)
t = 800/500
t = 1.6 hrs <==
Cash register contains only five dollar and ten dollar bills. Contains twice as many five's as ten's The total amount of money in the cash register is $720. How many tens are in the cash register? 
Answer: 36
Step-by-step explanation:
5x + 10y = 720
y=1/2x
tens = 36
PLZ HELP THIS IS COMPLICATED!!!
Answer:
The closet one is 5 mi
Step-by-step explanation:
Its correct
if measure of angle TAR and angle RAP are complementary angles where m < TAR is 3 times m
Solve the following equation for a number x.
Verify that your solution is correct.
-34 = 7x + 1
Answer:
-5
Step-by-step explanation:
-34=7x+1
-34 -1=7x
7x = -35
x = -5
whats 2 plus 2 you get 22 points and brainliest
Answer:
2+2=4
Step-by-step explanation:
You have to 2 circles and another 2 circles how many circles you got?
You got 4 circles in total.
Answer:
2+2 is not 22 its 4
Step-by-step explanation:
Use the given picture and find the value of x and y
Answer:
heres your answer maybe
Step-by-step explanation:
start with this in a explanation to find your answer.
(9y+17)+(10y)+(11y-1)=the value of Y
(6x-13)cm+(4x+3)cm*divided by 18cm= the value of X
Help please this is very hard idk what to do
Answer:b
Step-by-step explanation:
the answer is the second one
Answer:
Second graph
Step-by-step explanation:
First, solve the inequality:
Add 8 to each side, so it now looks like this: 5x ≤ -10Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x ≤ -2Find the graph the matches the solution:
First one is x ≤ 2, so it incorrectSecond one is x ≤ -2, so it is correctI hope this helps!
What is the range of f
Step-by-step explanation:
The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
mark the x intercepts in red and mark the y intercepts in blue: which points are red and which points are blue? i will MARK AS BRAINIEST !
Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house. How many rooms will she be able to paint if she shares the paint equally in each room?
Answer:
3 rooms can be fully painted if the paint is shared equally.
As well as 2/3 of another room.
Step-by-step explanation:
Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house.
Hence:
1 ½ = 1 room
10 ½ = x
Cross Multiply
x × 1 ½ = 10 ½ × 1
x = 10 ½ × 1/1 ½
x = 11/2 ÷ 3/2
x = 11/2 × 2/3
x = 11/3
x= 3 2/3 rooms
How many rooms will she be able to paint if she shares the paint equally in each room?
Hence, she will be able to paint 3 rooms fully as well as 2/3 of another room.
Characterize the slope of the line in the graph.
A. Zero
B. Undefined
C. Negative
D. Positive
What is the sum of Square root of -2 and square root of -18?
Answer:
5.65685425 i think
Step-by-p explanation:
NEED HELP AND FAST IM ONLINE WITH MY TEACHER
Daniel worked for 2 1/3 hours and earned $18.20.
How much would he make if he worked for 5 1/4 hours?
Answer:
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
Step-by-step explanation:
here u go pls make me brainliest
Answer:
just above 41 dollars but since there is only two decimals $41.00
Step-by-step explanation:
need help with this. its very hard and i dont know what to do and my work is due at 11:59 pm today .
Answer:
125°
Step-by-step explanation:
Sum of all the internal angles in a triangle is 180°
So, we have,
67°+58°+ Adjacent angle of 1 = 180°
125°+Adjacent angle of 1 = 180°
Adjacent angle of 1 = 180° - 125° = 55°
Angle 1 and its adjacent angle are supplementary
So, Angle 1 + Adjacent angle of 1 = 180°
Angle 1 + 55° = 180°
Angle 1 = 180° - 55° = 125°