Answer:
ANSWER
n < - 3 \: or \: n > - 2n<−3orn>−2
EXPLANATION
The given inequality is,
|2n + 5| \: > \: 1∣2n+5∣>1
By the definition of absolute value,
- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1−(2n+5)>1or(2n+5)>1
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 12n+5<−1or(2n+5)>1
We simplify now to get,
2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 52n<−1−5or2n>1−5
2n \: < \: - 6 \: or \: 2n \: > \: - 42n<−6or2n>−4
Divide through by 2 to obtain,
n \: < \: - 3 \: or \: n \: > \: - 2n<−3orn>−2
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
Answer:
6s9t3
—————
x
Step-by-step explanation:
Step 1 :
t
Simplify —
x
Equation at the end of step 1 :
t
(((6 • (s5)) • —) • s4) • t2
x
Step 2 :
Equation at the end of step 2 :
t
(((2•3s5) • —) • s4) • t2
x
Step 3 :
Multiplying exponential expressions :
3.1 s5 multiplied by s4 = s(5 + 4) = s9
Equation at the end of step 3 :
6s9t
———— • t2
x
Step 4 :
Multiplying exponential expressions :
4.1 t1 multiplied by t2 = t(1 + 2) = t3
The difference quotient of the expression will be 4.
<h3>How to find the quotient?</h3>
f(x) = 5 + 5x + 4x²
f(3) = 5 + 5(3) + 4(3)³
= 56
Now [f(x) - f(3)]/(x - 3) will be:
= (4x² + 5x + 5 - 56)/(x - 3)
= (4x² + 5x - 51)/(x - 3)
= (4x² + 17x - 12x - 5)/(x - 3)
= (4x + 17)(x - 3)/(x - 3)
= 4x + 17
The difference quotient will be:
g(x + h) = 4(x + h) + 17
= [g(x + h) - g(x)]/h
= (4x + 4h + 17 - 4x - 17)/h
= 4h/h
= 4
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525. You need to take 14×27+7×3+14×9. That equals 525.
