Ms. Bergstedt asked two students to come up with two different sequences. Jay created this sequence: The first term is 4 and each term after the first is 6 more than the preceding term. Joe created this sequence: The first term is 8 and each term after the first term is 5 more than the preceding term. What is the value of the first term that they have in common?
Solution 1
y=6x+4 and y=5x+8
From there you would go to Desmos.com and find out. The answer is 4,28.
This means it's the fourth term and the number is 28.
📚 Related Questions
h = -16t ^ 2 + 184t + 20
Deriving we have:
h '= -32t + 184
We equal zero and clear t:
-32t + 184 = 0
32t = 184
t = 184/32
t = 5.75 s
Then, the maximum height is given by:
h (5.75) = -16 * (5.75) ^ 2 + 184 * (5.75) + 20
h (5.75) = 549 feet
Answer:
It takes the boulder to reach its maximum height about:
t = 5.75 s
the boulder's maximum hieght is:
h (5.75) = 549 feet
Answer:
The answer should be C.
h = -16t ^ 2 + 32t + 6
Deriving we have:
h '= -32t + 32
We equal zero and clear t:
-32t + 32 = 0
32t = 32
t = 32/32
t = 1 s
Then, the maximum height is given by:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
It takes the ball to reach its maximum height about:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.
Grant is rolling six sided number die. Hence, we can say that
Number of outcomes if rolled once = 6
Number of outcomes if rolled twice =
Number of outcomes if rolled thrice=
We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.
Hence, if rolled 8 times then we have an exponent 8 on 6.
Therefore, the possible number of outcomes should be
Hence, the number of possible outcomes is 1679616
There are 6 possible outcomes for each roll; 6^8 = 1679616
BODMAS = Bracket Of Division Multiplication Addition Subtraction
SO, in 3-3x6+2. multiplication should be done first
= 3-18+2 Next addition should be done
= 3-16 And now subtraction
= -13
Answer = -13
The extremes are a and 10
The middles are 12 and 4
We know that PRODUCT OF MIDDLE = PRODUCT OF EXTREMES
a*10=12*4
a = 48/10
a = 4.8
Therefore, the value of a = 4.8
Cross multiply: 12*4= a*10
⇒ a= 12*4/10= 4.8
Final answer: a= 4.8
add 14 to both sides
45/x -14 +14 = 22 +14
45/x = 36
36 x = 45
x = 45/36 = 5/4 = 1.25
or (- inf , inf)
Answer:
A) domain (-infinity, infinity); range (0, infinity)
Step-by-step explanation:
Domain is reading the x-axis left or right
Range is reading the y-axis up or down
Hope this helps!
4 ×
Now calculate the product.
Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:
Let me know if you have any further questions.
:)
Answer: C
Step-by-step explanation:
The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.
On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.
Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?
a. Lisa walked about 400 yards farther than Deanna.
b. Lisa walked the same distance as Deanna.
c. Lisa walked about 400 yards less than Deanna.
d. Lisa walked about 400 yards.
To find this, we can find the measure of the central angle that intercepts the arc.
The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.
Since the slope is 0, this tells us it is a horizontal line.
The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.
These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.
The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.