Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
(x, y) --> (x + 5, y - 1)
A(3, -1) --> A'(3 + 5, -1 - 1) --> A'(8, -2)
B(6, 1) --> B'(6 + 5, 1 -1) --> B'(11, 0)
C(2, 4) --> C'(2 + 5, 4 - 1) --> C'(7, 3)
D(-1, 3) --> D'(-1 + 5, 3 - 1) --> D'(4, 2)
Answer:
Softball : Speed: 29.68 m/s --- Kinetic Energy: 82.36 Joules
Horse: Speed: 13.33 m/s --- Kinetic Energy: 48,331.40 Joules
Satellite: Speed: 3067.13 m/s --- Kinetic Energy: 3,762,910,000 Joules
I hope this helps! Please give me Brainliest. Sorry for the late response, my power went out.
Answer:
<h2>Second table</h2>
Step-by-step explanation:
<em>One-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain. Every element of the function's domain is the image of at most one element of its domain.</em>
First table:
No. Because for x = 7.25 and x = 8.5 we have the same value of y = 11
Second table:
Yes. Because for all values of x we have different values of y.
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
