Answer:
(x - 3) • (x^2 - 4x - 7)
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-4x-7
The first term is, x2 its coefficient is 1 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 1 • -7 = -7
Step-2 : Find two factors of -7 whose sum equals the coefficient of the middle term, which is -4 .
-7 + 1 = -6
-1 + 7 = 6
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(x - 3) • (x2 - 4x - 7)
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Use the formula for finding the area of a cylinder - V = (pi)r^2h
Add in the numbers you were given:
V = (22/7) 5^2 (175)
The volume is A) 13,750 ft3
Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than four times the amount she earned from her job at the college.
Lets x be the amount she earned from here job at college
amount she earned at the store = 4 * amount earned at college + 1250
= 4x + 1250
Amount earned at college + amount earned at store = 50450
x + 4x + 1250 = 50450
5x + 1250 = 50450
Subtract 1250 from both sides
5x = 49200 (divide by 5)
x = 9840
she earn $9840 from her job at the college
The measure of the angles A, B and C are 43°, 43° and 94° respectively.
Step-by-step explanation:
- Step 1: From the given details, form equations. Let ∠A and ∠B be x°.
⇒ ∠C = 51° + x°
- Step 2: Sum of angles of a triangle is 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ x + x + 51 + x = 180
⇒ 3x + 51 = 180
⇒ 3x = 129
⇒ x = 43°
⇒ x + 51 = 94°
Answer:
4.101 yrs
Step-by-step explanation:
Given that a sample of radioactive substance to decay has the following exponential function.
where t= no of years lapsed
When t=0 i.e. initially we have population as
When it becomes half we have
=
Taking log to base e we have
In approximately 4.101 years the population decays to half
