Answer:
A
Step-by-step explanation:
Given
x² - 13x + 30
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)
The factors are - 3 and - 10, since
- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus
x² - 13x + 30 = (x - 3)(x - 10) ← in factored form
Thus (x - 3) is a factor of the polynomial → A
Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone= 
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume = 
To find the number of times we divide new volume with the old volume
Answer:
$787
Step-by-step explanation:
In terms of interest
To find the multiplier using '7% more' continues as follows
100% + 7% = 107%
107/100 = 1.07 (multiplier)
Add the ten years as a power to the multiplier
1.07^10
And multiply this by $400
400 x 1.07^10 = 786.860542916
To the nearest dollar = $787
Answer:
8 ≤ $45
Step-by-step explanation:
Given:
People younger than 8 get in for $45.
Now we can assume that the cost given might be to enter in the garden or might be in fair or might be at museum or might be at a zoo which is $45 for people which are younger than 8.
Now we can say for people younger than 8 means people or children who are of 8 years or who are below 8 years or say less than 8 years.
Hence we can say people who are less than or equal to 8 get in for $45
So the inequality equation becomes.
8 ≤ $45
