Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b)No, she cannot buy 2 adult tickets and 7 child tickets.
<h3>Define equation.</h3>
Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.
Given,
Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.
a) Mathematical equation:
represents the total cost, t, for a adult tickets and c child tickets
t = $5a + $3c
A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b) Ciera has $28.
a = 2 c = 7
Equating values in equation,
= $5(2) + $3(7)
= $10 + $27
= $37
No, she cannot buy 2 adult tickets and 7 child tickets.
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Answer:
Step-by-step explanation:
The shaded area is the difference of areas of the rectangle and the square.
<u>Rectangle:</u>
- A₁ = (x + 10)(2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
<u>Square:</u>
- A₂ = (x + 1)² = x² + 2x + 1
<u>Shaded region:</u>
- A₁ - A₂ =
- 2x² + 25x + 50 - (x² + 2x + 1) =
- 2x² + 25x + 50 - x² - 2x - 1 =
- x² + 23x + 49
x-------> the length of <span>a rectangular cookie sheet
we know that
area of </span><span>a rectangular cookie sheet=length*width
area of </span>a rectangular cookie sheet=192 in²
area of a rectangular cookie sheet=<span>x² + 4x-----> x*(x+4)
</span><span>Step 1: x² + 4x = 192
</span><span>Step 2: x(x +
4 ) = 192 The length is x. The width is
(x+4)
</span><span>Step 3: x² + 4x = 192=0
we have
</span>x² + 4x = 192
x² + 4x - 192=0
using a graph tool-----> to resolve the second order equation
see the aattached figure
the solution is
x=-16
x=12
(x+16)*(x-12)=0
the length is x=12 in
and the width is-----> (x+4)-----> 12+4----> 16 in
<span>Step 4: (x +
16) (x - 12) = 0
Because the length can't be -
16 the length is 12, and the width is
16</span>
Answer:
a.
b.
Step-by-step explanation:
We are given that two cards are drawn are randomly selected from a standard 52- cards deck.
Total cards=52
Total number of spade cards=13
Probability=
a.The probability of drawing two cards first card is spade and second card is spade without replacement =
The probability of drawing two cards first card is spade and second card is spade=
b. The probability of drawing two cards first is spade and second card is a spade with replacement =
The probability of drawing two cards first is spade and second card is a spade with replacement =