Answer:
Slope=-2/3, y-intercept=2, x-intercept=3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."
When x increases by 3, y decreases by 2
So the slope = rate of change of y / rate of change of x = -2/3
Given h(0)=2, h(0)=m(0)+c=2
c=2
Combining slope and y-intercept, y=-2/3*x+2
x-intercept is when y=0
0=-2/3*x+2
2/3*x=2
x=2*3/2=3
x-intercept=3
Answer:
D is the correct a
Step-by-step explanation:
From table A-3: Areas under the normal curve
we can deduce that k=0.9
Answer:
g(x)=-6/5x+1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
1). g(x)=−f(x) ?
f(x)=6/5x−1/2
g(x)=−(6/5x−1/2)
<u>g(x)=-6/5x+1/2</u>
2). h(x)=f(−x) ?
f(-x)=6/5(-x)−1/2
f(-x)=-6/5x-1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
1. 1/6d - 8 = 5/8
1/6d -8 + 8 = 5/8 + 8
1/6d = 69/8
1/6d / 1/6 = 69/8 / 1/6
d = 51.75 or 
2. 3x - 4 + 5x = 10 - 2z
8x - 4 = 10 - 2z
8x - 4 + 4 = 10 - 2z + 4
8x = 14 - 2z
8x / 8 = (14 - 2z) / 8
x = 
3. 7(c - 3) = 14
7(c - 3) / 7 = 14 / 7
c - 3 = 2
c - 3 + 3 = 2 + 3
c = 5
4. 11(m / 22 + 3 / 44) = 87
m / 22 + 3 / 44 = 87 / 11
m / 22 + 3 / 44 = 348 / 44
m / 22 = 345 / 44
m = 172.5
5. ck + 5k = a
k(c + 5) = a
k = 
The ratio should be written as:
mining:manufacturing:communication
Since there are three varieties of ratio's, then there is a specific answer for each. For the first example, the ratio is written as:
33/77:22/77:22/77
To find the integer ratio, divide all numbers with the smallest value, 22/77. The ratio becomes: 1.5:1:1
For the second example,
55/77:11/77:11/77
To find the integer ratio, divide all numbers with the smallest value, 11/77. The ratio becomes: 5:1:1
For the third example,
0:11/77:66/77
For this, exclude the ratio for mining because if you use this as the value, then all the numbers would be zero. Instead, divide using 11/77. The ratio becomes: 6:1.
