Answer:
y = -(x + 2)² + 1
Step-by-step explanation:
Parent function given in the graph is a quadratic function,
f(x) = x²
Since, graph is opening downwards transformed function of the preimage will be,
g(x) = -x²
This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.
Therefore, rule for the transformation will be,
g(x) → h[(x + 2), (y + 1)]
By this rule transformed function will be,
h(x) = -(x + 2)²+ 1
Equation of the curve will be,
y = -(x + 2)² + 1
Answer:
x = 5, x =
Step-by-step explanation:
Given
+ = 3
=
=
= ( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5
To find half of 750, divide it by 1/2.
So,
750 ÷ 1/2
750/1 ÷ 1/2
750/2
= 375.
CROSS CHECK!
375 × 2 = 750.
Answer:
I believe the answer is A. Population Growth Rate
Step-by-step explanation:
1+8+x+y+z=30
9+x+y+z=30
x+y+z=21
1*8*x*y*z=2520
8xyz=2520
xyz=315
2+19=21 19 can't be made with single digit numbers:
not 2
3+9+9=21 9 can't be used twice:
not 3
4+8+9=21 8 is one of the other numbers and 4 can therefore not be used:
not 4
5+7+9=21 and 5*7*9=21
The other 3 numbers are as follows: 5, 7, 9
Hope this helps :)