Answer:
First factor the Area
Area = 18x2+12x+2
Factor out a 2
Area = 2(9x2+6x+1)
Factor this and you get
Area=2(3x+1)(3x+1)
Let L be Length and W be Width
Area=LW
and the Length is twice the Width so
L=2W
Area=2(3x+1)(3x+1) so
L=2(3x+1)
W=3x+1
This can also be written as if you distribute the 2
L=6x+2
W=3x+1
Here we are given the expression : z+ (z+6)
In this we will use the concept of like terms.
Like terms are terms whose variables (and their exponents such as the 2 in x²) are the same. In other words, terms that are "like" each other.
so here we have z and z which have same exponent which is 1.
So we can say that z and z are like terms.
So adding z and z we get 2z
so our expression becomes 2z+3
Now we may use distributive property here which is :
ab + ac = a(b+c)
where "a" is gcf of the two terms.
so in our expression 2z+6 , gcf is 2
taking 2 common out we have 2(z+3).
So answer is option c) 2(z+3).
Answer:they would meet at 1 pm
Step-by-step explanation:
The distance between Quebec City and New York City is 520 miles.
At the point where Kate and Will meet, they would have travelled 520 miles.
Let t represent the time it takes Kate to travel a certain distance before they met.
Distance = speed × time
If Kate drives at 55mph, the distance covered would be
55 × t = 55t.will drives at 75 mph
Since Will left same that that Kate left, distance travelled by Will in t hours would be
75 × t = 75t
Since the total distance covered is 520 miles, it means that
55t +75t = 520
130t = 520
t = 520/130 = 4
9 am + 4 hours = 1 pm
Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
Answer:
To match each functions with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.
1. k(x) = (3h - 5g)(x)
= = 3(5 - 3x)-5(-3 x + 5)
= = 15 - 9x + 15x - 25
K(x) = -10 + 6x
2. k(x) = (h - g)(x)
= = (5 - 3x) - (-3 x + 5)
= = 0
k(x) = 0
3. k(x) = (5g + 3h)(x)
= = 5(-3 x + 5)+3(5 - 3x)
= = -15x + 25 + 15 - 9x
k(x) = - 24x +40
4. k(x) = (3g + 5h)(x)
= = 3 (-3 x + 5) + 5(5 - 3x)
= = -9x + 15 +25 -15x
k(x) = -24x + 40
5. k(x) = (g + h)(x)
= = (-3 x + 5) + (5 - 3x)
k(x) = -6x + 10
6. k(x) = (5h - 3g)(x)
= = 5(5 - 3x) - 3(-3 x + 5)
= =25 - 15x + 9x - 15
k(x) = 10 - 6x