Answer:
See below
Step-by-step explanation:
There are two ways to graph an equation.
<u>1st Way:</u>
We can use a graphing calculator. (See the attached file)
<u>2nd Way:</u>
We can take the values of x as 0, 1 , 2 (Or anything).
Then, We have to put the values of x in the equation to get the value of y accordingly.
According to these values, Plot the graph.
Also,
Slope = 5 / 6
y-intercept = 1
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
(6, - 3 )
Step-by-step explanation:
Given f(x) then f( x + c) represents a horizontal translation of f(x)
• If c > 0 then a shift to the left of c units
• If c < 0 then a shift to the right of c units, thus
y = f(x - 4) represents a shift to the right of 4 units, so
(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )
Answer:
the fourth answer choice
Step-by-step explanation:
Here we're dividing one fraction by another. To accomplish this, invert the divisor (the second) fraction and multiply instead:
4m^12 8m^3
------------ * ----------
x + 1 x^2
Multiplying the two numerators together results in 32 m^15. This matches the fourth answer choice.
Answer:
1428 in³
Step-by-step explanation:
To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism (
) and volume of a triangular prism. ![A = \frac{1}{2}(b*h)](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28b%2Ah%29)
If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:
17 × 8 × 5 = 680 in³.
Solving for the triangular prism gives us:
A = 1/2 (11 × 8 × 17)
A = 748.
Add these two volumes to find the volume of the composite figure:
748 + 680 = 1428 in³
Answer:
Step-by-step explanation:
Let the age of Kapil is 4x and that of Ramu is 5x.
After 5 years,
Kapil's age = 4x+5
Ramu's age = 5x+5
ATQ,
4x+5+5x+5 = 46
9x+10 = 46
9x = 36
x = 4
Present age of Kapil = 4x = 4(4) = 16 years
Present age of Ramu = 5x = 5(4) = 20 years