Answers
Answer:
The answer is letter B
Step-by-step explanation:
-5x^2+3x+10
-25x+3x(-5)+10
-25x-15+10
-40+10
30
9514 1404 393
Answer:
A. f(x) = x^2 -3x -10
Step-by-step explanation:
You can easily determine the correct equation by looking at a couple of table values.
The y-value for x=0 is -10, which is the constant in the quadratic formula. (eliminates choices B and C)
The y-value for x=1 is -12, which is the sum of coefficients in the quadratic formula. For choice A, the sum of coefficients is 1 -3 -10 = -12. For choice D, the sum of coefficients is 1 +3 -10 = -6. The value for choice D does not match the table, but the value for choice A does.
The function that represents the table is ...
f(x) = x^2 -3x -10
_____
Additional comments
If you don't have equations to test, and you want to write your own equation, there are a couple of ways to do that. One is to look at the differences of y-values, and the differences of those.
The sequence of y-values shown is ...
30, 18, 8, 0, -6, -10, -12
The sequence of differences of these numbers, starting with 18-30 = -12 is ...
-12, -10, -8, -6, -4, -2
The sequence of differences of these numbers is ...
2, 2, 2, 2, 2
The fact that they are constant tells you a quadratic (degree = 2) will describe the table.
We can find the coefficients a, b, c in the quadratic formula f(x) = ax^2 +bx +c as follows. First, we define d1 as the first of the sequence of differences (-12), and d2 as the value of the second differences (2). And we'll let x0 and y0 be defined as the first of the x-values (-5) and y-values (30).
The formulas for the coefficients (a, b, c) can be found from ...
a = (d2)/2 = 2/2 = 1
b = (d1) -a(2·(x0) +1) = -12 -1(2·(-5) +1) = -12 +9 = -3
c = y0 -x0(a·x0 +b) = 30 -(-5)(1·(-5) +(-3) = 30 -40 = -10
As we noted above, the y-value corresponding to x=0 is also this c value. When the table includes x=0 and x=1, those can be used to simplify the finding of the formula coefficients.
These computations tell us f(x) = x^2 -3x -10, as above.
__
If you have to do this again, it might be useful to make a note of the expressions for 'a', 'b', and 'c' that we showed here, along with the definitions of the variables we used in them.
__
Another way to find the formula for f(x) is to make use of a calculator or spreadsheet capable of quadratic regression. Give it three (x, y) pairs from the table, and it can tell you the formula coefficients. This is illustrated by the attachment.
Related Questions
Evaluate the expression when b= 7 and x = -3. -b + 4x
Answers
Answer:
-19
Step-by-step explanation:
-7+4×-3
-7-12
-19
Maybe it's correct
what is the simplified form of 6^square root of x multiplied by 6^square root of x multiplied by 6^square root of x multiplied by 6^square root of x?
1. x^2/3
2. x^3/2
3. 4^6 square root of x
4. ^6 square root of 4x
Answers
Answer:
x^2/3, this the correct answer.
Step-by-step explanation:
It's simple!
=x^1/6+1/6+1/6+1/6
=x^4/6
=x^2/3
whats the missing number if you have 3/10 =1/5
Answers
Answer:
1/10?
Step-by-step explanation:
I dont really understand what you are aasking here.
George worked 30 hours
He was paid a bonus of £20
Work out George's total pay.
Harry worked 34 hours his total pay was £300
Work out the bonus Harry was paid.
Answers
Step-by-step explanation:
Work out George's total pay:=total pay=(8x30)+20
=240+20=£260
Work out the bonus Harry was paid:=Total pay=(8x34)+bonus
300-272+bonus
300/-272 -272/-272 +bonus
bonus=£28
A shoe store uses a 60% markup for all of the shoes it sells.What would be the spelling price of a pair of shoes that has a wholesale cost of 55$?
Answers
Explanation:
55x1.6=88
Please help me solve this problem
Answers
Answer:
11) 1.612) -11 1/2Step-by-step explanation:
[tex]11. \: \: - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5(4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]
[tex] \frac{1}{6} (x - 5) = \frac{1}{2} (x + 6) \\ \frac{1}{6} \times x + \frac{1}{6} ( - 5) = \frac{1}{2} \times x + \frac{1}{2} \times 6 \\ \frac{x}{6} - \frac{5}{6} = \frac{x}{2} + \frac{6}{2} \\ \frac{x - 5}{6} = \frac{x + 6}{2} \\ 2(x - 5) = 6(x + 6) \\ 2x - 10 = 6x + 36 \\ - 10 - 36 = 6x - 2x \\ - 46 = 4x \\ \frac{ - 46}{4} = \frac{4x}{4} \\ \frac{ - 23}{2} = x \\ - 11 \frac{1}{2} = x[/tex]
Angles A and B are supplementary. If mA = 67, find mB.
Answers
Answer:
Angle A +Angle B=180
67+B=180
B=113°
find (f-g) (x) if f(x)=-2x+4 and g(x)=x^2-3x+5
Answers
Answer:
−[tex]x^{2}[/tex] + [tex]x^[/tex] − 1
Answer:x=2
Step-by-step explanation:
hope it helps
Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how
long is the actual air hockey table?
10 feet
2.5 feet
5 feet
15 feet
Answers
Answer:
10 feet
Step-by-step explanation:
to solve, multiply 2 by 5;
2*5=10
Hope this helps! :)
find the 8th term 3,6,12
Answers
3
,
6
6
,
12
12
,
24
24
,
48
48
,
96
Answer:
3,6,12,24,48,96 ,192 ,384
Step-by-step explanation:
Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomore, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire body in the school.
Required:
What is the sampling method the researcher is practicing?
Answers
which is an equivalent fraction to 0.265
Answers
Answer:
32/125
Step-by-step explanation:
Answer:
Steps to convert 0.265 into a fraction:
Write 0.265 as
0.265/1
Multiply both the numerator and denominator by 10 for each digit after the decimal point:
0.265/1 =
0.265 x 1000/1 x 1000
= 265/1000
In order to reduce the fraction we find the Greatest Common Factor (GCF) for 265 and 1000. A factor is just a number that divides into another number without any remainder.
The factors of 265 are: 1 5 53 265
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 265 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
265/1000 = 265 ÷ 5/1000 ÷ 5
=
53/200
Simply the answer is 53/200
Hope This Helps!!!
Is the triangle proof correct? Photo attacted
Answers
Answer:
is good
Step-by-step explanation:
PLEASE HELP ME! D:Find the missing length the triangles in each pair are similar
Answers
Answer:
11)The unknown answer is 24
So sorry I couldn't solve the remaining ones
Lines q, r, s, and t are distinct lines in the same
plane. Decide if lines q and t
are parallel, perpendicular, or if there is not
enough information given.
q Ir, ris,
ris, sit
A. parallel
B. perpendicular
C. not enough information
Answers
27.6 inches of rain fell over a 100 day period. What was the average amount of rain that fell per day? Enter a numerical answer only.
Answers
Answer:
Step-by-step explanation:
Hey ! I beleive this is the answer: 27.5/100=.275
Jimmy and Ted each improved their yards by planting daylilies and shrubs. They brought theurbsupplies from the same store. Jimmy spent $80 on 4 daylilies and 9 shrubs. Ted spent $148 on daylillies and 4 of shrubs. What is the cost of one daylily and the cost of one shrub?
Answers
Step-by-step explanation:
given,
JIMMY bought,
no. of daylillies = 4
no. of shrubs = 9
total cost of all material he bought = $80
TED bought,
no. of daylillies = 12
no. of shrubs = 4
total cost of all material he bought = $148
let daylillies be x and shrubs be y
the equation is,
4x + 9y = $80 -----------(1)
12x + 4y = $148 -----------(2)
now, multiply (1) by 3 we got,
12x + 27y = $240 -----------(3)
now, subtract (2) from (3) we got,
23y = 92
→ y = 92/23 = 4
→ y = 4
therefore cost of shrubs are $4.
so, cost of daylillies,
→ 12x + 4(4) = 148
→ 12x = 148 - 16 = 132
→ x = 132/12 = 11
→ x = 11
Hence, cost of daylillies are $11 and shrubs are $4.
hope this answer helps you dear......take care and may u have a great day ahead!
the first row the theater has 15 seats in it each subsequent row has 3 more seats that seats that the previous ow . if the last row has 78 sears, how many rows are in the theater a 21 b 78 c 77 d 45 e 22
Answers
Answer:
21
Sorry if not correct
But I think this is the answer
The number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
For this case, we can use arithmetic sequence as the number of seats in each next row is 3 more than previous row, so there is constant difference.
Now, the first number is 15, so we have: a = 15,d = 3 (increasing, so positive).
Let there are 'n' row in the theater.
Then the nth term of the arithmetic sequence having a = 15 and d = 3 should be 78 (as the nth row from first to last is the last row, having 78 seats).
Thus, we get:
[tex]T_n = a + (n-1)d\\78 = 15 + (n-1)3\\78-15 =3n - 3\\\\n = \dfrac{63+3}{3} = 22[/tex]
Thus, the number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
Evaluate the expression when b= -4 and x= 2. b-7x
Answers
Answer:
Step-by-step explanation:
b - 7x = (-4) - 7*2
= -4 - 14 {both numbers have same sign, so add and put the - sign for the result}
= -18
the sum of two numbers is 22And their product is 105 what are the numbers?
Answers
Answer:
15 and 7 Im almost certain
Step-by-step explanation:
please help! circled numbers only. tysm, ILL MARK BRAINLIEST!
Answers
4. 6 3/8
6. 4 5/12
8. 2 1/3
10. 24 2/3
12. 7 5/6
14. 33/5
16. 102/11
18. 81/5
20. 163/7
22. 1295/6
24. 1329/16
Answer:
2) 4 and 2/5
4) 6 and 3/8
6) 4 and 5/12
8) 2 and 1/3
10) 24 and 2/3
12) 7 and 5/6
14) 33/5
16) 102/11
18) 81/5
20) 163/7
22) 1295/6
24) 1329/16
Step-by-step explanation:
Hope this helps! Pls give brainliest!
For the first year of a new job, you make P70,000. You get an annual raise each year of 3%. Find out total amount of money you will make in 5 years.
Answers
Answer:
P371,639.507
Step-by-step explanation:
First year: 70,000
Second year: 72,100
Third year: 74,263
Fourth year: 76,490.89
Fifth year: 78,785.6167
If you plus them all the total is 371,639.507
Find the slope between points (–2, 6) and (6, 2).
Answers
Answer:
slope of the line is =y2-y1/x2-x1
=2-6/6+2
=-4/8
=-1/2
=-(1/2)
A farmer wants to create a rectangular pen with an area of 16 m2 using the least amount of fencing. He should build the pen in the shape of a square.
Question 17 options:
A) True
B) False
Answers
B. False
HELPPPPP PLS ! Need it by tdy. Solution or explanation would be help so much !
Answers
Answer:
[tex]good \: luck \: and \: enjoy \: it[/tex]
Please please help me with this question now
Answers
Answer:
Step-by-step explanation:
a and d are in standard form.
b and c are in factored form
ax² + bx + c ---> this is the standard form.
If the equation is written as product of two terms then it is in factored form.
CAN SOMEONE HELP ME PLZZZ!!!!!!
Answers
1. figure 4 would be 81
Explanation:
from figure 1 wich is 3, if you keep multiplying 3 until figure 4. the shaded triangle would be 81
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
2. figure 10 would be 59,049
Explanation:
from figure 1 wich is 3, if you keep multiplying 3 until figure 10. the shaded triangle would be 59,049
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
81x3 - 243
243x3 - 729
729x3 - 2,187
2,187x3 - 6,561
6,561x3 - 19,683
19,683x3 - 59,049
3. it would be figure 8 wich is 6,561
Explanation:
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
81x3 - 243
243x3 - 729
729x3 - 2,187
2,187x3 - 6,561
Gabrielle’s age is two times Michaels age. The sum of their ages is 39. What is Mikhails age?
Answers
Based on the given information, Michael's age is 13, and Gabrielle's age is 26.
Let's represent Gabrielle's age as G and Michael's age as M.
Given that Gabrielle's age is two times Michael's age, we can express this relationship as:
G = 2M.
We also know that the sum of their ages is 39:
G + M = 39.
Now, we can substitute the value of G from the first equation into the second equation:
2M + M = 39.
Combining like terms:
3M = 39.
To isolate M, we divide both sides of the equation by 3:
M = 39 / 3.
Simplifying further:
M = 13.
Therefore, Michael's age is 13.
To confirm this result, we can substitute M = 13 back into the equation G = 2M:
G = 2(13).
G = 26.
So, Gabrielle's age is 26.
For similar question on age.
https://brainly.com/question/30994122
#SPJ8
the measure of a is 116 degrees the measure of b is 3 times the measure of c
Answers
PLEASE HELP!!!
Please answer this
Answers
Answer:
angle 2 and angle 7
.........they are exterior alternate angles