The values are [tex]b=-20\text{ and }c=101[/tex]
The quadratic function, expressed in factored form is
[tex](x-(10+i))(x-(10-i))=g(x)[/tex]
Expanding and simplifying
[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]
since
[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]
we can equate coefficients of like-terms and conclude that
[tex]a=1,b=-20,c=101[/tex]
Learn more about quadratic equations here: https://brainly.com/question/12995618
i need help please thanks
Answer: a. The prices throughout the year of the items in a store.
Step-by-step explanation:
An input value cannot have multiple output values.
Graph: Is it a function? (Yes / no) why or why not?
Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During
the day, she sold 17 cherries and got a shipment of fresh cherries. The
shipment contained 4 times as many cherries as she started the day with.
How many cherries does Andrea have in stock at the end of the day?
Answer:
Andrea has 83 cherries in stock at the end of the day.
Step-by-step explanation:
starts with 20 cherries
sold 17 cherries
3 cherries remain
get 4 times as many she starts with 20×4= 80
80 + the 3 that remained
Need help l don’t understand new topic
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
Which of the following could be used to solve the triangle below?
Answer:
sine
Step-by-step explanation:
Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2
Answer:
y=1/2x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-5=1/2(x-2)
y=1/2x-2/2+5
y=1/2x-1+5
y=1/2x+4
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0. 2 0. 5 0. 7 1. 0.
The probability of a failure is 0.5
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeSince Janie flips a coin 70 times, then the total outcome is 70
The probability of getting a failure will be 50% of the total times;
Expected outcome = 50% of 70
Expected outcome = 35
Pr(a failure) = 35/70
Pr(a failure) = 0.5
Hence the probability of a failure is 0.5
Learn more on probability here: https://brainly.com/question/22664861
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Answer: No, this relation is not a function.
Step-by-step explanation: Beca the x’s value’s repeat
i don’t know what i’m doing lol
NEED HELP ASAP!!!!!
Jeff and Ed are climbing a small mountain. The height Jeff climbed with respect to time is given by the function H(t) = -250|x − 4| + 1,000. Ed’s height with respect to time is modeled in the graph.
Ed and Jeff both climb to the mountain’s peak and then climb back down.
The maximum height of the mountain is (blank) feet. Jeff takes (blank) hour(s) less than Ed to go up all the way and come back down.
Answer:
Step-by-step explanation:
The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down
69 points from simplord
Robert graded his friend Sam's practice test and a him a 72% Sam checked it again in found that he really made a 80% Robert said relax i only made an error of 8%Is robert correct
Answer:
No
Step-by-step explanation:
Use the formula, difference/original. The difference is 8%. The original is 72%.
The equation would be: 8/72
Which is 1/9
1/9 = 11.1%
So he made a mistake of 11%
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Can you please help me?!
Answer:
a. (2,1)
b. (0,2)
c. (4,0)
Step-by-step explanation:
2x+ 4y = 8 /2
x + 2y = 4
x = 4 - 2y and y = (4 - x)/2
a. x = 2 => y = 1
b. x = 0 => y = 2
c. y = 0 => x = 4
what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?
Answer:
1+2i
Step-by-step explanation:
midpoint: (6 + -4)/2 + (-2 + 6)/2 i
= 1+2i
Divide 75 by -25.
12
Answer: 6.25
Step-by-step explanation:
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
edge 2022
hope it helps :)
if p(q) = q^2 + 4q − 12,then what is p(−1)?
Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?
A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.
The experiment is not a binomial experiment because the number of trials is not fixed.
What is a binomial experiment?
A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.
The conditions for a binomial experiment include:
Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.To learn more about binomial experiments, please check: brainly.com/question/17139967
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
What equation matches this graph?
TI
y = 2x + 2
y = 3/2x + 2
y = 1/2x + 2
y = 2/3x + 2
Answer:
y = 1/2x+2
Step-by-step explanation:
first find x intercepts : to find x intercept put 0 in y
1/2x+2 = 0
1/2x= -2
x = -4 the graph shows x intercept at 4
next find y intercept : to find y intercept put 0 into x
=1/2*0+2
=2
the graph shows y crosses at 2.
Answer:
y = 1/2x+2
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
Coby designs a rectangular vegetable garden. What will be the length of the full-size
vegetable garden?
Answer:
168. would be the length
What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2
Answer:
A. Slope = -2, y-intercept = 2/3Step-by-step explanation:
Convert the given equation into slope-intercept form:
3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3The slope is -2, the y-intercept is 2/3
Correct choice is A
⇒ 3(y - 2) + 6(x + 1) - 2 = 0
⇒ 3y - 6 + 6x + 6 - 2 = 0
⇒ 3y = -6x + 2
⇒ y = (-6x + 2)/3
⇒ y = -2x + ⅔
FINAL ANSWER :Slope = -2
Y - intercept = +⅔
Answer :Option (a) is the correct answer .
evaluate 2x+y for x=1/3 and y=2/3
a.1/3
b.2/3
c.4/3
d.5/3
Answer:
C. 4/3
Step-by-step explanation:
2 × ⅓ + ⅔
⅔ + ⅔ = 4/3
Use X as ⅓, and use Y as ⅔.
what is the least number of plums that can be shared equally among 6, 9, or 12 children
Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?
Having a hard time!
Answer: They have 83 cookies all together.
Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has 46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.
[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!
Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
Find the fourth degree polynomial function with zeros 6,-6,6i
Answer:
See below
Step-by-step explanation:
6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296
