f(0) = 2(3)(0) = 0 ⇒ (0, 0)
f(1) = 2(3)(1) = 6 ⇒ (1, 6)
<u>rate of change from x = 0 to x = 1</u>
= 
= 
= 6
******************************************
f(2) = 2(3)(2) = 12 ⇒ (2, 12)
f(3) = 2(3)(3) = 18 ⇒ (3, 18)
<u>rate of change from x = 2 to x = 3</u>
= 
= = 6
*****************************************
Since it is the same line, they will have the same slope (aka rate of change).
Answer: Exact Form: x
=
−
45
/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
y=150+50x
Step-by-step explanation:
Given data
Repair= $150
weekly charge = $50
X=#of weeks and y=total cost.
Hence the expression in slope-intercept form is
y=150+50x
Answer:
Step-by-step explanation:
![x^2 > 100\\\\\mathrm{For\:}u^n\:>\:a\\\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:\:\sqrt[n]{a}\\\\x\sqrt{100}\\\\\sqrt{100}=10\\\\x10](https://tex.z-dn.net/?f=x%5E2%20%3E%20100%5C%5C%5C%5C%5Cmathrm%7BFor%5C%3A%7Du%5En%5C%3A%3E%5C%3Aa%5C%5C%5Cmathrm%7B%2C%5C%3Aif%5C%3A%7Dn%5C%3A%5Cmathrm%7Bis%5C%3Aeven%7D%5Cmathrm%7B%5C%3Athen%5C%3A%7Du%5C%3A%3C%5C%3A-%5Csqrt%5Bn%5D%7Ba%7D%5C%3Aor%5C%3Au%5C%3A%3E%5C%3A%5Csqrt%5Bn%5D%7Ba%7D%5C%5C%5C%5Cx%3C-%5Csqrt%7B100%7D%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E%5Csqrt%7B100%7D%5C%5C%5C%5C%5Csqrt%7B100%7D%3D10%5C%5C%5C%5Cx%3C-10%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%3E10)
Answer:
3rd one and last one
Step-by-step explanation:
First one:
4 × 3 × 4 = 48
Second one:
1 × 2 × 4 = 8
Third one:
2 × 3 × 5 = 30
Fourth one:
2 × 5 × 4 = 40
Fifth one:
2 × 2 × 4 = 16
Process of elimination:
The first one is itself greater than 47 units³, so this is definitely not one of the two;
A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;
This leaves the second, third and fifth;
The second and third sum to 38, which is less than 42 so it is not the correct combination;
Similarly, the second and last gives only 24 so it is not the correct combination;
This leaves the only remaining option of the third and fifth;
30 + 16 = 46, which confirms this to be the correct combination.
