Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
The slope is -7 and we are given the point (0,8)
Since the x value is 0, the y value is the y-intercept of the line, which is 8.
With this information, we can write the equation of the line in slope-intercept form, y = mx+b (where m is the slope and b is the y-intercept)
y = -7x + 8
Let me know if you need any clarifications, thanks!
Answer:
D
Step-by-step explanation:
This questions asks use to find what f(x) or y is, when x is equal to -2.
So, substitute -2 in for x in the equation.
f(x)=2(4)^x
f(-2)=2(4)^-2
Evaluate the exponent. Negative exponents follow this rule:
b^-x= 1/b^x
We have 4^-2. This will become 1/4^2 or 1/16
f(-2)=2(1/16)
Multiply
f(-2)=2/16
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
f(-2)=2/2 / 16/2
f(-2)= 1/8
The correct choice is D. 1/8
Answer:
4.5
Step-by-step explanation:
triangular prism volume =
h![\sqrt{-a^{2}+2(ab)^{2} +2(ac)^{2}﹣b^{4}+2(bc)^{2}﹣c^{4} }](https://tex.z-dn.net/?f=%5Csqrt%7B-a%5E%7B2%7D%2B2%28ab%29%5E%7B2%7D%20%2B2%28ac%29%5E%7B2%7D%EF%B9%A3b%5E%7B4%7D%2B2%28bc%29%5E%7B2%7D%EF%B9%A3c%5E%7B4%7D%20%20%20%20%20%7D)
a = base side = 1.4 ft (after converted from inches to feet)
b = base side= 2 ft
c = base side = 2.5 ft
h = height = 3 ft
plug all the number into the formula
Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114