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Phoenix [80]
2 years ago
7

What is the value of the 19th term in the sequence -1, -5, -9, ...?

Mathematics
2 answers:
Ivanshal [37]2 years ago
8 0
-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4

we observe that the number are in AP

of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________

the correct answer = B
german2 years ago
3 0
The Arithmetic Sequence formula is:
an = a1 + (n-1)(d) where d is the common difference and a1 is the first term in the sequence.
a19 = -1 + (19 - 1)( -4)
a19 = -1 + (18 * -4)
a19 = -1 + (-72)
a19 = -73
LETTER B
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It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
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Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

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2 years ago
A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs wa
Scrat [10]

Answer:

see below

Step-by-step explanation:

In the system of equations, x represents the,  price to wash a car and y represents the price to wash an SUV.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.

x=12 and y = 18

x+y = 12+18 = 30

The total cost of 1 car and 1 SUV is $_30____.

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The total earnings for hour 3 are $_132_____.

3 0
2 years ago
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Sam and Annika ride their bikes to school. Sam rides his bike (k) kilometers . Annika rides her bike 2 less than 4 times as many
BaLLatris [955]
4(k-2) when it says 2 less than it means you are subtracting from the constant and 4 times means you are multiplying the whole equation with 4.
6 0
2 years ago
This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
2 years ago
Read 2 more answers
Identify two numbers less than 20 with the most factors
Anastaziya [24]

<u>Answer</u>

18 and 12


<u>Explanation</u>

Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.

Odd number have few factors so the can't be the answer.

WE are going to try the even numbers.

18 ⇒ 18, 9, 6, 3, 2, 1

16 ⇒ 16, 8, 4, 2, 1

12 ⇒ 12, 6, 4, 3, 2, 1

10 ⇒ 10, 5, 2, 1

Other number less than 10 has factors less than 5.

It can be seen from above that 18 and 12 have the most factors.

3 0
2 years ago
Read 2 more answers
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