MATHEMATICS HIGH SCHOOL

Look at this sequence.95, 80, 65, 50,... Which function represents this sequence? A. a(n) = 110n - 15 B. a(n) = 15n + 80 C. a(n) = 95n - 15 D. a(n) = -15n + 95

Answers

Answer 1

Answer:

Answer:

Hi,
answer A

Step-by-step explanation:

The sequence is an AP with first term equal 95 and common difference equal -15

$a_n=a_1+(-15)*(n-1)= 95+(-15)*(n-1)=95-15n+15\n\n\boxed{a_n=110-15n}\n$

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Please help me!! f(x)= $\left[\begin{array}{ccc}x^2,&x\leq &1\n2x+1,&x\ \textgreater \ &1\end{array}\right]$

A.) Evaluate f(0)

Thanks fam

Answers

The piece wise function is written that if X is ≤1 use the top equation and if x is > 1 use the bottom equation.

f(0) means that X is = 0, so you would use the top equation:

x^2

Replace x with 0 to get 0^2 which is 0 x 0 = 0

F(0) = 0

A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

Answers

The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
Answer:
x²/25 - y²/11 = 1

Final answer:

The standard form equation for this hyperbola, when vertices are (+-5,0) and one focus is (6,0), is x²/25 - y²/11 = 1.

Explanation:

In the question, we are given a hyperbola with vertices at (+-5,0) and one focus at (6,0). A hyperbola is defined by its distances from a given point to the two different foci, and its standard form equation along the x-axis can be written as

(x-h)²/a² - (y-k)²/b² = 1

, where (h, k) is the center of the hyperbola, a represents the distance from the center to each vertex, and b represents the distance from the center to each co-vertex. In this case,

h = 0

, since the center of the hyperbola is at the origin. The value of

a = 5

is the distance from the center to each vertex. Finally, the square of the distance c from the center to each focus is defined as

c² = a² + b²

, so we can find

b = sqrt(c² - a²)

. Here, c = 6, so b = sqrt(6² - 5²) = sqrt(11). Thus, the standard form equation of this hyperbola is

x²/25 - y²/11 = 1

Learn more about Hyperbola Standard form Equation here:

brainly.com/question/36025452

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Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

Answers

take 120 and *times it by 6 because there are 60 seconds in a minute. So you answer is . does that help?

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

The vertex of the function y=-3(x - 1)² +2 is?Can Someone please help i need the answer for this

what is the vertex function of
y=-3(x - 1)² +2

Answers

formula: f(x) = a(x – h)2 + k

transformation: 1 unit right 2 units up

vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite

maximum/minimum: maximum

range: (-∞, ∞)
domain: y ≥2

Graph f(x) = -0.5.0 +3.