Answer:b
Step-by-step explanation:
Because it b
Which values represent the dependent variable? (2,3) (2,-2) (-4,-2) (-2,2) A. {–4, –2, 2} B. {–4, 2, 3} C. {–4, –2, 3} D. {–2, 2
igomit [66]
The dependent variable is the output of a function, which would be the Y value.
In the given set: (2,3) (2,-2) (-4,-2) (-2,2), the Y value is the 2nd number inside each pair of parenthesis.
The answer would be D. {–2, 2, 3}
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Answer:
<u>The area of the larger triangle is 315 inches²</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Pre-image triangle has a base of 7 inches and a height of 10 inches
Scale used : Factor of 3
2. What is the area of the larger triangle??
For calculating the area of the larger triangle, we use the scale this way:
Base = 7 inches * 3
21 inches
Height = 10 inches * 3
30 inches
Area of the larger triangle = 1/2 (Base * Height)
Area of the larger triangle = 1/2 (21 * 30)
<u>Area of the larger triangle = 630/2 = 315 inches²</u>
After a series of calculations, I found out that the interest he has to pay in total would be <span>$117,484.77.
You might use my answer in reviewing by using your solution also.
I hope my answer has come to your help. God bless and have a nice day ahead!
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