Answers
Answer:
k=5
Step-by-step explanation:
[tex]f(x)=x^2-6x+14[/tex]
[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]
[tex]f(x)-5=x^2-6x+9[/tex]
[tex]f(x)-5=(x-3)^2[/tex]
[tex]f(x)=(x-3)^2+5[/tex]
[tex]k=5[/tex]
Related Questions
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Help I need help with this
Answers
Answer:
????
Step-by-step explanation:
Evaluate the following expression when x=-5 and y=7: *enter numbers only
Answers
Answer
x+y
Step-by-step explanation:
Which statement is true about the pattern above?
Answers
Answer:
The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.
Step-by-step explanation:
Adam has an inflatable pool toy
Answers
Answer:
yes
Step-by-step explanation:
Answer:
nice.
Step-by-step explanation:
₊˚ ꒰ mei ꒱ ‧₊˚
5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).
Answers
Answer:
P(B,R) = 24.490%
Step-by-step explanation:
P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%
helpppp pleaseee
NO LINK
Answers
Answer:
The graph increases
Step-by-step explanation:
A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?
Answers
Answer:
[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answers
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
Write an expression to represent how to calculate the area of a triangular sail.
Answers
Answer:
(b × h) ÷ 2
Step-by-step explanation:
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin
Answers
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?
Answers
square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64
Square and cube numbers
Answers
Answer:
who friendhjcicivigigivigigogogig'g
Find the area of the trapezoid
Answers
Answer:
45
Step-by-step explanation:
A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
Answers
Explanation: 10% of $160 is $16
Please help :') Estimate 15 divided by 2.57
Answers
Answer:
5.83
Step-by-step explanation:
15 ÷ 2.57 = 5.8
mark as brainllest
the answer is 5.83
hope it's help
HELP ME HELP ME HELP KE HELP ME PLEASEEEEEE I NEED HELP PLZ PLZ PLZ
Answers
Answer:
1/3
Step-by-step explanation:
help me please!!! asap!
Answers
Answer: C
Explanation: 3(2) = 6
In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?
Answers
You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is
Answers
Explanation:
This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries. The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.
Notes:
11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)
Answers
Answer: 12
Step-by-step explanation:
There are 12 different combinations
If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once
Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?
Answers
Answer:
4/13
Step-by-step explanation:
Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13
Please help will mark brainliest
Answers
Answer:
The answer is 36.9
Step-by-step explanation:
find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.
Answers
Answer:
[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]
Who are some good you tubers to watch?
Answers
Answer:
Cocomelon
Their videos are pretty good!
find the value of x. round your answer to the nearest tenth.
Answers
Help me with this please!!!!!
Answers
Answer:
d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-9, 6, -4)
Substitute the values in the above equation and you will get
d = √(-9)^2 + (6)^2 + (-4)^2
= √(81 + 36 + 16)
= √133
= 11.53
Answer:
The answer is 11.53
help me pls! i'll mark u brainliest promised
Answers
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
Someone help me out on this one please
Answers
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
ANSWER ASAP! MARK BRAINLIEST
3.) In triangle RST, RS = 4, ST = 5, and RT = 6. Which angle is largest?
Hint draw a picture!
A)
B)
C)
D) Cannot be determined
Answers
Answer:
So If you start with sinØ = .5
your calculator is programmed to always give the closest angle to 0, and that would be 30°
You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.
Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems
notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102
I would have found angle S first, the largest angle always opposite the largest side.
7^2 = 5^2 + 4^2 - 2(5)(4)cosØ
40cosØ = -8
cosØ = -8/40 = -1/5
Ø = 101.537°
Now you can use the sine law and you will find the correct other angles.
Step-by-step explanation: