Answer:
14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Answer:
Interest Earned is $262.5
Step-by-step explanation:
Interest=PRT/100
When P=Principal, R=Rate, T=Time
Interest earn =( 3500 x 3 x 2.5)/ 100
I=$26,250 / 100
I=$262.5
Answer:
Step-by-step explanation:
√20=√5*2*2
√20=2√5
An exponential function can either represent growth or decay
- The initial value is 200 and the growth factor is 1.190
- The number of fish in the pond after 5 years is 436
<u>(a) The initial number of fish and the growth factor</u>
The function is given as:

An exponential function is represented as:

Where
- a represents the initial value
- b represents the growth factor
So, by comparison: the initial value is 200
The growth factor is then calculated as:


Hence, the initial value is 200 and the growth factor is 1.190
<u>(b) The number of fish after 5 years</u>
This means that t = 5.
So, we have:




Hence, the number of fish in the pond after 5 years is 436
Read more about exponential functions at:
brainly.com/question/11464095
F(x) = -2x +1 ( slope = -2 y intecept is 1)
replace x with 0 and solve for y =-2(0)+1 = 1 ( 0,1)
replace x with 2 and solve for y: -2(2) +1 = -4+1 = -3 (2,-3)
plot those 2 coordinates and draw a line
this is the red line on the attached graph
do the same for the g(x) formula
blue curve on graph.