Answer:
B
Step-by-step explanation:
Two linear lines can never intersect twice
Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
The measure of a, b and c is 3, 1 and - 3 respectively.
What is a quadratic sequence?A quadratic sequence is a sequence whose nth term is given by the general formula -
A{n} = an² + bn + c.
Given are the 4 terms of the quadratic sequence as 1, 11, 27 and 49.
Now, we can the following equations as -
A{1} = a + b + c = 1
a + b + c = 1
c = 1 - a - b ........ Eq[1]
A{2} = 4a + 2b + c = 11
4a + 2b + c = 11
c = 11 - 4a - 2b ........ Eq[2]
A{3} = 9a + 3b + c = 27
9a + 3b + c = 27
c = 27 - 9a - 3b ........ Eq[3]
A{4} = 16a + 4b + c = 49
16a + 4b + c = 49
c = 49 - 16a - 4b ........ Eq[4]
Equate Eq[1] and Eq[2] -
1 - a - b = 11 - 4a - 2b
1 - 11 = - 4a - 2b + a + b
- 10 = - 3a - b
3a + b = 10 ........... Eq[5]
Equate Eq[3] and Eq[4] -
27 - 9a - 3b = 49 - 16a - 4b
- 9a - 3b + 16a + 4b = 49 - 27
7a + b = 22 .......... Eq[6]
We can write -
7a + 10 - 3a = 22
4a + 10 = 22
4a = 12
a = 3
and
b = 10 - 3a
b = 10 - 9
b = 1
At last -
c = 1 - a - b
c = 1 - 3 - 1
c = - 3
Therefore, the measure of a, b and c is 3, 1 and - 3 respectively.
To solve more questions on quadratic sequence, visit the link below -
https://brainly.com/question/22412845
#SPJ2
is two a prime number?
Answer:
yessirr
Step-by-step explanation:
Answer:
yes
2,3,5,7,11,13,17,19,23 and so on
11.
10. The points (2, 4) and (-2,-4) are plotted on the
coordinate plane using the equation y=a.x.
How can you use the coordinates to find the
value of a?
..
Answer: 2
Step-by-step explanation: use the slope formula y2-y1/x2-x2
-4-4/-2-2=-2
(both equations above should be fractions when read)
HELP HELPPPPP WILL MARK BRAINLIEST
78% of 50 is what number
Answer:n I got this 64.102564102664.1025641026
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
So do this equation in your head.
Or Write It Down.
50 x 0.78
And Multiply it from there.
So I hope it helps.
What is the equation of the line that passes through the point (5, -2) and has a slope of 6/5
Answer: y = (6/5)x-8
Slope = 6/5 = 1.2
Y intercept = -8
==================================================
Work Shown:
m = 6/5 = 1.2 is the given slope
(x,y) = (5,-2) is the point the line goes through
y = mx+b .... slope intercept form
y = 1.2x + b .... plug in the given slope
-2 = 1.2*5 + b ... plug in the coordinates of the given point
-2 = 6 + b
-2-6 = 6+b-6 .... subtracting 6 from both sides
-8 = b
b = -8
The equation y = mx+b turns into y = 1.2x-8
This is equivalent to y = (6/5)x-8
Write a multiplication equation that represents the question: how many 3/8 are in 5/4
Answer:
3 1/3
Step-by-step explanation:
First you make the denominators the same so you would change 5/4 to 10/8
and 3 X 3 1/3 gets you 10/8
Seven times the sum of a number and 3 is 9.
Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?
they both would have 24
they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score
Is this correct or no
Answer:
Incorrect
Step-by-step explanation:
The correct answer is A.
The slope-intercept form is y-y₁=m(x-x₁)
The problem with B is that if you take out the coordinates for x₁ and y₁, you get the coordinates (1,4). This coordinate does not land on the line.
The coordinates for A is (-1,4). This point does land on the line.
19. A(-2,5), B(4, 9), C(8, 3); BC
The coordinates of the vertices of a triangle are given. Find the coordinates of the end points of the mid segment parallel to the given side of the triangle.
EASY PROBLEM AND WILL GIVE BRAINLIEST
Jesse owns a sporting goods store that sells skis and snowboards. The store earns a profit of $52 for each ski sold and a profit of $64 for each snowboard sold. If Jesse's store sells a total of 83 pairs of skis and snowboards and earns a profit of $4892 in November, how many pairs of skis and snowboards did the store sell that month
Answer:
9
Step-by-step explanation:
I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!
Answer: they sold 35 skis and 48 snowboard
Step-by-step explanation:
52 x 35 = 1820
64 x 48 = 3072
1820 + 3072 = 4892
-7 + (-9) - (-11) -2
What is sin R ?I have no idea how to solve
n (not sure)
Step-by-step explanation:
A utility pole is 24 feet tall and its shadow is 45 feet long. A nearby water tower is 32 feet tall. How long is the water tower's shadow?
Answer: The tower's shadow is 60 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
24/45 = 32/x
Cross multiply: (Numerator of left side times the denominator of right side, and denominator of the left side by numerator of right side.)
24x = 32(45)
24x = 1440 divide both sides by 24
x = 60
O
Jill is studying a strange bacterium. When she first looks at the bacteria, there are initially.
100 cells in her sample. The next day, there are 300 cells (Day 1). Intrigued, she comes
back the next day to find that there are 900 cells (Day 2)!
bo.
How many bateria cells will there be when Jill looks at her sample on Day 4?
Answer:
8100
Step-by-step explanation:
We first see that in the first day it tripled from 100 to 300 this is the pattern that is seen throughout this whole experemint, we can see that the cells triple again on the second day to get 900 cells from this. It is likely to say that they will triple again on the third day to get 2100 and again on the fourth to get 8100
To which graph does the point (2, 4) belong? (1 point)
Answer: you didnt show any graphs but it should be plotted like this
Step-by-step explanation:
Write a number in the blank that makes this question true
43+29=__+60
Answer:
12
Step-by-step explanation:
If we fill in the blank and solve the equation, both sides will be equal
43 + 29 = 12 + 60
72 = 72
A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman class was 243. The school reported that it enrolled 7 in-state students for every 2 out-of-state students. How many of each type of student was enrolled in the freshman class?
Answer:
Step-by-step explanation:
Camile is taking a road trip to see nicki minaj in
concert. She drives 1 1/2 hours which covers 1/9 of
her trip. How many hours will it take her to complete
her trip?
Answer:
ahhaha
Step-by-step explanation:
Hahahahahsjsjjahaha
-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
Find the value of x.
(x + 12)
(x -9)
Answer:
find the value of ×
× +23)
Step-by-step explanation:
(×+25)
(×+12)
What should you do to each side of the equation to solve -32+x=53?
Answer: c. add 32
Step-by-step explanation:
Answer:
add 32
Step-by-step explanation:
it will solve for x
owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for 5.5 hours and charged him $70 for parts the total is $702.50 what was the total cost of labor per hour
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
7 Which of following equations represents the
relationship shown in the graph below?
a. y = .2x
b. y = x + 12
50
45
40
35
30
25
20
15
10
5
c. y = 3x
d. y = 5x
1 2 3 4 5 6 7 8 9 10
Answer:
y=5x
Step-by-step explanation:
slope =5
y intercept= 0
Find the slope of the ordered pairs (2,5) (4,13)
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]
Identify the similar triangle to the triangle shown. 8 40 A) 5 14 B) 11 49 C) 1 5 D) 5 12
Answer:
C 1 5
Step-by-step explanation:
that's ur answer I hope it's correct
ill give a brainest no cap plz actually help
Step-by-step explanation:
Amount borrowed=400
interest rate=4%
Amount of interest after x years =0.04XxX400=$16x
Total to be paid back=400+0.04XxX400=400+16(1)
1) the amount of interest.if Franco pays back the loan in x=1 years is
16x1=$16
2) the amount of interest,if Franco pay back the loan in x=2 years is,
16x2=$32
3) the amount of franco will pay the lender after 2 years will be
400+(16x2)=400+32=$432
please help me! its algebra 1
Answer:
16
Step-by-step explanation:
Let us take the number be x . So the three fourths of the number will be , ¾ x . And this is equal to 10. So , According to Question ,
⇒ 3x/4 -2 = 10
⇒ 3x/4 = 10 + 2
⇒ 3/4 x = 12
⇒ x = 12 * 4/3
⇒ x = 16 .
Hence the required answer is 16 . [ d]7(3-x)=-7(x+3)-4 one solution, no solution or infinite solutions
Answer:
No solution
Step-by-step explanation:
(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4
21+−7x=−7x+−21+−4
−7x+21=(−7x)+(−21+−4)
−7x+21=−7x+−25
−7x+21=−7x−25
−7x+21+7x=−7x−25+7x
21=−25
21−21=−25−21
0=−46