Answer:
You should move 3 places horizontally, and 4 places vertically.
Step-by-step explanation:
Answer:
867510
Step-by-step explanation:
34 x 45 = 1530
1530 x 567 = 867510
hope this helped
Answer:
Step-by-step explanation:
If the relationship between cost and the number of chairs produced is linear, we would write an equation that expresses this relationship in the slope intercept form. It is expressed as
y = mx + c
Where
m represents the slope
c = intercept.
Slope = (y2 - y1)/(x2 - 1)
y2 = final value of y = 4800
y1 = initial value of y = 2200
x2 = final value of x = 300
x1 = initial value of x = 100
Slope, m = (4800 - 2200)/(300 - 100) = 2600/200 = $13 per chair.
To determine the intercept, we will substitute y = 4800, x = 300 and m = 13 into y = mx + c. It becomes
4800 = 13×300 + c = 3900
c = 4800 - 3900 = 900
The equation becomes
y = 13x + 900
Answer: The required values are
f(-2) = 120, f(0) = 64 and f(1) = 84.
Step-by-step explanation: We are given the following function f(x) :
![f(x)=16x^2+4x+64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=f%28x%29%3D16x%5E2%2B4x%2B64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
We are to find the values of the following :
![(a)~f(-2),\\\\(b)~f(0),\\\\(c)~f(1).](https://tex.z-dn.net/?f=%28a%29~f%28-2%29%2C%5C%5C%5C%5C%28b%29~f%280%29%2C%5C%5C%5C%5C%28c%29~f%281%29.)
To find the values of the function at the given points, we need to substitute the corresponding values of x in equation (i).
Substituting x = -2 in equation (i), we get
![f(-2)=16\times(-2)^2+4\times(-2)+64=64-8+64=120.](https://tex.z-dn.net/?f=f%28-2%29%3D16%5Ctimes%28-2%29%5E2%2B4%5Ctimes%28-2%29%2B64%3D64-8%2B64%3D120.)
Substituting x = 0 in equation (i), we get
![f(0)=16\times0^2+4\times0+64=0+0+64=64.](https://tex.z-dn.net/?f=f%280%29%3D16%5Ctimes0%5E2%2B4%5Ctimes0%2B64%3D0%2B0%2B64%3D64.)
Substituting x = 1 in equation (i), we get
![f(1)=16\times1^2+4\times1+64=16+4+64=84.](https://tex.z-dn.net/?f=f%281%29%3D16%5Ctimes1%5E2%2B4%5Ctimes1%2B64%3D16%2B4%2B64%3D84.)
Thus, the required values are
f(-2) = 120, f(0) = 64 and f(1) = 84.