Answer:
In order that both functions to represents the same (one) graph then the value of k is 5
Step-by-step explanation:
The given functions are;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k
Expanding the function g(x) gives;
6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k
∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
Comparing with the function for f(x), we have;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
The difference between the two functions is the constant term, which are;
Constant term for f(x) = 11
Constant term for g(x) = 6 + k
For the two terms to describe exactly the same graph, the constant term should also be equal
We will then have, 11 = 6 + k
∴ k = 11 - 6 = 5
k = 5
For both functions to represent the same graph the value of k = 5.
What number does the calculator display represent?
Answer:
C
Step-by-step explanation:
John has a square room with the area of 121 what is the side length of the room
Answer: 11
Step-by-step explanation:
11x11=121
∠A and ∠B are complementary angles. If m∠A = (6x + 29)° and m∠B = (x + 5)°, then find the measure of ∠A
Answer:
77 degrees
Step-by-step explanation:
6x+29+x+5= 90
7x=56
x=8
m<A = 77 degrees
Solve the equation. Show all Work. (4 points)
73 + 3(-x + 6)=42
1 pt. for correct answer. 3 point for all correct work shown. Remember to make sure
you show what operation you perform to both sides of the equation for every step.
Answer:
6
Step-by-step explanation:
7x + 3(-x + 6) = 42
use distributive property
7x + -3x + 18 = 42
positive + negative = negative
7x - 3x + 18 = 42
combine like terms
4x + 18 = 42
subtract 18 from both sides
4x + 18 - 18 = 42 - 18
18 is canceled out on the left side
4x + 0 = 24
4x = 24
divide both sides by 4
4x ÷ 4 = 24 ÷ 4
1x = 6
x = 6
The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?
Answer:
breadth =25 m and length =25×2+2=52 m
Step-by-step explanation:
Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent error?
Answer:
The answer is 10.42 %Step-by-step explanation:
The percentage error of a certain measurement can be found by using the formula
[tex]P(\%) = \frac{error}{actual \: \: number} \times 100\% \\ [/tex]
From the question
actual mass = 240 g
error = 265 - 240 = 25
So we have
[tex]p(\%) = \frac{25}{240} \times 100 \\ = 10.41666666...[/tex]
We have the final answer as
10.42 %Hope this helps you
on october 14, bob has $20
on october 20, bob has $80
if bob continues to save money at this rate, how much money will he have on october 23?
Jasmine has just started high school she finds that she is struggling to manage her time and complete all of her assignments how could she use communication to help her learn to manage her time
I need help with this question?
Directions:Write the equation of each line. Explain what the slope and y-intercept represents in the context of each graph.
Need answer I don’t have much time
HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?
Answer:
x=2
Step-by-step explanation:
the line that is being refected over is x=2
how do I do this homework???
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Show your work
You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?
Answer:
a) 1.1 yrs
Step-by-step explanation:
THESE ARE OPTIONS FOR THE QUESTION BELOW;
a) 1.1 yrs
b) 2.3 yrs
c) 26 yrs.
d) 12 yrs.
✓At initial year (0 year) credit score =560 points
Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year
✓At the first year(1st year)
(12/100)× 560 points of the initial year.
= 627points
✓ At second year (2nd year), the 627points
increases by 12% again.
(12/100)× 627.2 points of the initial year.
= 702.4points
There was 75.2 increase between istyear and second year(702.4points - 627points)
Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .
After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points
Answer:
11
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities?
y> 2x
y> 3
O A. (4,6)
O B. (2,4)
O C. (1,5)
O D. (0,3)
Answer:C
Step-by-step explanation:
BIG BRAIN
The solution is, C. (1, 5), ordered pair is a solution to the system of inequalities.
Here, we have,
We have the following system of inequalities:
y> 2x
y> 3
We graph each inequality and obtain the following:
Now we graph each point and the one that remains inside the purple zone, would be the system solution, like this:
We can see that the only option that remains within the point zone is the point (1, 5)
therefore, the correct answer is C. (1, 5)
To learn more on inequality click:
brainly.com/question/24853349
#SPJ7
The 9th grade class at Georgia high School wanted to go on a field trip to a soda factory. The trip will cost $100. The students decided to write a class newspaper and sell it to the kids at their school. Each of the 20 students will be given a 16-inch square for his/her article in the newspaper. How many pages long will the newspaper be if they used paper that was 8 ½ x 11 inches?
Answer:
2 Pages Long
Step-by-step explanation:
A Camaro travels 82.5
miles in one half
hour. How many miles
per hour does it
travel?
Answer:
165 miles per hour
Step-by-step explanation:
2 (half an hour) = one hour
so
2(82.5) = 165 mph
we're doing literal equations in math and i dont understand how i would solve this question, please help!
Answer:
x = -4u/3
Step-by-step explanation:
The first step is to create a fraction on both sides in order to prepare for cross-multiplication.
Cross-multiplication is a shortcut for the following technique, shown by this example.
a/b=c/d
Multiplying both sides of the equation by bd using the multiplication property of equality will then grant the equation ad = bc, and then a single component can be isolated by creating the equation a = bc/d for example using the division property of equality.
Back to cross-multiplication, however, creating a fraction of both sides can be achieved by creating the equation u/1 = -3x/4, since any number divided by 1 is equal to itself.
Then, by cross-multiplying u and 4 and 1 and -3x, you get the equation 4u = -3x.
Dividing both sides by -3 will then grant the final answer of x = -4u/3.
Simplify.
2(m + 11)
2m + 11
2m + 22
24m
22m
Answer:
b 2m + 22
Step-by-step explanation:
m times 2 is 2m and 11 times 2 is 22
Answer:
2m + 22
Step-by-step explanation:
Step 1: Write expression
2(m + 11)
Step 2: Distribute (Distributive Property)
2m + 22
We simply distribute 2 to each term in the parenthesis.
Please help me with this. Will give brainliest to the best answer. Image attached
Answer:
1: x= 10
Step-by-step explanation:
I only know the first one, sorry, but if its any help then for #2: x= 8
is this a function if is not tell why
Answer:
yes
Step-by-step explanation: all inputs go to one output but they do not go over more than once that is why
PLZ Help
Will mark brainliest and give 100 points
its a long one so dm me abt 50 more!
Answer:
yes check and click your profile
Step-by-step explanation:
what is 2⁵ evaluation
what is the value of x?
Answer:
The value of x is 8 cm
Step-by-step explanation:
we can see that there are two triangles
smaller triangle and larger triangle
and both triangles are similar
so, the ratio of their sides must be equal
we get
now, we can solve for x
we can cross multiply
Divide both sides by 5
Subtract both sides by 13
divide both sides by 2
Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)
Answer:
A) 3j + 2
Step-by-step explanation:
sorry, I always have trouble explaining this kind of question. hope I was still able to help!
3.305 + 1.7 what's the sum? Also more questions are coming just doing a test
3.305
+1.7
5.005
Line up the decimal points and add like you usually would add.
5.005 is the answer.
I jus need help on the ounces
Answer:
4 pounds = 64 ounces and 5 pounds = 80 ounces
Step-by-step explanation:
One pound is 16 ounces
So pound to ounces you multiply by 16
Thus:
4 * 16 = 64
5 * 16= 80
HOPE IT HELPED
Answer:
64, 80
Step-by-step explanation:
you would just multiply by 16 since 16oz = 1lb
After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83.000 listeners originally, how many listeners does the radio
station have now?
Answer: 54
Step-by-step explanation: 1.00-34 is 0.66 and multiply that by 83 gives you 54.78 but you can't have 78 of a person so you round down
PLS HELP ME ASAP I'LL GIVE BRAINLYEST
*
3. Solve for x
Please need help ASAP