Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
Answer:
A
Step-by-step explanation:
14/15 is less than 7/5
Set x to 0 to find the y value or set y to 0 to find the x value
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
<em>Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
</em>
<em>
</em>
<em>However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
</em>
<em>
</em>
<em>The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
</em>
<em>
</em>
<em>In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
</em>
<em>
</em>
<em>Domain: (-∞, ∞)
</em>
<em>
</em>
<em> Range: (0,∞)</em>
Answer:
The number is 24
Step-by-step explanation:
Let the two digits number be ab
In real terms, this is 10a + b
So, we have that the sum of the digits subtracted from 10a + b is 18
Mathematically, we have this as;
10a + b - (a + b) = 18
10a + b - a - b = 18
9a = 18
a = 18/9
a = 2
We are also told that the digit at the units place b is double the digit at the ten’s place a
That means b = 2a
b = 2 * 2 = 4
