The number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that Karli and her friend can paint 6/7 of a picture in 3/14 of an hour.
Let's assume they can paint x number of pictures in a full hour.
So , the fraction by dividing 6/7 by 3/14 can be written equal to x .
i.e.,
= x
We need to do the cross product here :
× x =
or
x = () ÷ ()
We know that when dividing two fractions we need to change the division sign to multiplication sign by inverse the fraction value right to the division sign i.e.,
x = () × ()
x = 84 / 21
x = 4
Therefore , the number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.
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Answer:
4 pictures
Step-by-step explanation:
(6/7)/(3/14)=x/1
cross product
3/14*x=6/7*1
3/14x=6/7
x=(6/7)/(3/14)
x=(6/7)(14/3)
x=(6/1)(2/3)
x=12/3
x=4
(b)m,
(c)a,
(d)n.
Answer:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m = = = - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2
Answer:
c = 6, m = - 2, a = 2, n = - 2
Step-by-step explanation:
i m not sure but hope it is right
Answer:
(a+5)-4√(a+1) /(a-3)
Step-by-step explanation:
√(a+1) - 2 / √(a+1) + 2
={√(a+1) - 2 }{√{(a+1) - 2 } / {√(a+1) + 2} {√(a+1) - 2 }
={√(a+1) - 2 }² / {√(a+1)}² - 2²
=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4
=[a+1-4√(a+1)+4] / (a-3)
=(a+5)-4√(a+1) /(a-3)
Answer:
x⁴ +2x³ + x² + 12x
Step-by-step explanation:
(x² + 3x)(x² - x +4)
= x²(x²) - x(x²) + 4(x²) + x²(3x) - x(3x) + 4(3x)
= x^4 - x³ + 4x² + 3x³-3x²+12x
= x⁴ +2x³ + x² + 12x