I need help with a , b,c,d THANK YOU!! :)
I need help with a , b,c,d THANK YOU!! :) - 1

Answers

Answer 1
Answer: -2x^2 + 1 for x = -3
-2(-3)^2 + 1 = -2(9) + 1 = -18 + 1 = -17

2^x for x = 3
2^3 = 2 x 2 x 2 = 8

4x - 4 for x = 3
4(3) - 4 = 12 - 4 = 8

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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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Given the Function:f(x) = -2e^x find f(x), if x=3
So far what I manage to grasp with this equation is
replacing the "x" with 3 So: f(3)= -2e^(3)
The answer ( using the scientific calculator) gave me -6
I have no Idea what are the other steps to this equation.

Answers

f(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
okay e^3 is 20.08553692 x -2 = 4.017107385
maybe you had your calculator on the wrong mode or entered it wrong


The sum of a number is 17 and their difference is 3 find the number​

Answers

Answer: 14

Step-by-step explanation:

At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90. Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.


Use the substitution method to solve the system of equations.


What would be the bill for one glass of orange juice and one pancake special?


And then Solve the system by the linear combination method Show all work and then Graph the system of linear inequalities. Then state two possible solutions to the system.

Answers

1) 3j + 5p = 7.60 and 1j + 2p = 2.90

2) Solving for j and p
j = 2.90 - 2p

3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60 
-p = -1.1
p = 1.1

1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7

3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass

The shop opens 10 new stores. Some are in California, andsome are in Nevada. There are 22 in California and 18 in Nevada

Answers

Answer:

If there are 10 new stores, how can there be 22 in California and 18 in nevada?

Step-by-step explanation:

22+18= 40? i am not sure what you have to add or do something

What is the quotient (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)?A. x^2 – 2x – 3
B. x^2 + 2x + 7
C. x^2 – 3x + 8
D. x^2 – 2x + 3

Answers

Answer is option D. Please see the pic for long division.