Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
= 
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
= 
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
<span>X= math problems
y= science problems
x +y =42
x= y+10
Substitute: (y+10) + y =42
Combine y: 2y +10=42
Solve for y: y= 16
There are 16 science questions and 26 math questions</span>
40+3+.04+.003
expanded form is showing what you have to add together
Answer:
It took 1.2 hours to get to the store
Step-by-step explanation:
Let the time taken to reach the store be t₁
Let the time taken to come back be t₂
Let the speed to and from store = s₁ and s₂ respectively
let the distance to the store = d
To the store:
Back from the store:
We are told that total time (t₁ + t₂) = 2 hours
t₁ + t₂ = eqn (1) + eqn (2)
∴ length of trip to the store = t₁
from eqn (1)
Answer:
y=2x-3
Explanation:
which equation represents the relationship between x and y shown in the table?
x | y
2 | 1
4 | 5
6 | 9
8 | 13
take a look at the values in the table one more,
we find the gradient of the line to be
G=y2-y1/(x2-x1)
G=13-1/(8-2)
slope/gradient=12/6
m=2
from equation of a line graph, we know
y=mx+c
m=gradient
c=intercept
y=vertical axis
x=a point on the horizontal axis
y=2x+c
when x=6, y=9
9=2(6)+C
c=-3
Therefore the equation becomes
y=2x-3
Step-by-step explanation:
