You said -x + 8 > 6
Subtract 8 from each side: -x > -2
Add 'x' to each side: 0 > -2 + x
Add 2 to each side: 2 > x
Now, test the choices:
A). Can 'x' be 4 ?
No. 2 is not greater than 4 .
B). Can 'x' be 1 ?
Yes. 2 is greater than 1 .
C). Can 'x' be 2 ?
No. 2 is not greater than 2 .
D). Can 'x' be 15 ?
No. 2 is not greater than 15 .
Answer:
y = 3/2x - 3
Step-by-step explanation:
Slope = 3/2
y-intercept = -3
y = mx + b
y = 3/2x - 3
Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change
to the improper fraction 30/7.
We can also change
to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7
Answer:
4092
Step-by-step explanation:
The n th term of a geometric series is
= a
where a is the first term and r the common ratio
4
← is the n th term
with a = 4 and r = 2
The sum to n terms of an arithmetic series is
=
, thus
= 
= 4(1024 - 1) = 4 × 1023 = 4092
Answer:
the train won't always go the same distance each minute and for the second one its 4 minutes