On the y-axis, the graph crosses 0 because proportional relationships start at the origin, or (0,0). The line will be straight because a proportional relationship has a constant, meaning it will have a constant rate of change, therefore, it is linear.
The number of infected people will reach 568 in approximately 4 weeks
<h3>Linear equation and function</h3>
Exponential equations are inverse of logarithmic equation and are represented by the equation below:
y = ab^x
where
a is the base value and x is the exponent
Given the equation that shows the number of infected people from an outbreak of the measles as:
y = 4(6)^t
If the number of infected people reach 568, hence;
568 = 4(6)^t
568/4 = 4(6)^t/4
6^t = 568/4
6^t = 142
Take the natural logarithm of both sides
ln(6^t) = ln142
t = ln142/ln6
t = 4.37
Hence the number of infected people will reach 568 in approximately 4 weeks
Learn more on exponential equation here: brainly.com/question/12940982
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Step-by-step explanation:
53 ÷ (-12 x - 4)
53 ÷ 48
= 1.10416
Answer:
x=61
2x+3 = 125
x-6 = 55
Step-by-step explanation:
The two angles shown form a straight line so they add to 180
2x+3 + x-6 = 180
Combine line terms
3x-3 =180
Add 3 to each side
3x-3+3 =180+3
3x=183
Divide each side by 3
3x/3 =183/3
x =61
The angle on the left is 2x+3
2x+3 = 2*61+3 = 122+3 = 125
The angle on the right is x-6 = 61-6 = 55
Answer:
60 miles per hour.
Step-by-step explanation:
Let r represent speed of wind blowing in miles per hour.
We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 
.
The speed of the plane is the opposite direction of wind would be 
.
Distance covered in the direction of wind would be 
.
Distance covered in the opposite direction of wind would be 
.
Since both distances are same, so we will get:
Therefore, the wind is blowing at a rate of 60 miles per hour.
