<h3>
Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>
Step-by-step explanation: We need to describe exponential growth or decay for the given functions.
The standard exponential function equation is
.
Where a is the initial value and b is the growth factor.
Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.
Let us check them one by one.
=>
=> .
Value of b is 1.008 > 1, therefor it's an exponential growth function.
y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.
All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.
Answer:
Step-by-step explanation:
we know that
Using proportion
Answer:
<em>Option C; 3x - y = -27 and x + 2y = 16</em>
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>
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Answer:
m qsr = 62°
Step-by-step explanation:
From my understanding, the question states 3 angles of a triangle
All 3 angles of a triangle are equal to 180°.
<u>Step 1: Find x</u>
<em>70 + 2x + 3x - 10 = 180°</em>
<em>70 + 5x - 10 = 180</em>
<em>5x = 180 - 60</em>
<em>x = 120/5</em>
x = 24°
<u>Step 2: Find angle qsr</u>
<em>m qsr = 3x - 10</em>
<em>m qsr = 3(24) - 10</em>
m qsr = 62°
!!
Answer:
Bottom left
Step-by-step explanation:
It shows that x is a unpredictable number but also show the value of 3 and 7