<span>(x + 3)(x² – 6x + 5)= x³-6x²+5x+3x²-18x+15 =x³ -3x²-13x+15 Answer B</span>
Answer:
He should expect to select 75 yellow cards.
Step-by-step explanation:
Since there is replacement, for each trial, we have:
1 yellow card
1 red card
1 blue card
1 green card.
If Greg does this 300 times, how many yellow cards should he expect to select?
Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.
Over 300 trials
0.25*300 = 75
He should expect to select 75 yellow cards.
Answer:
Y=2.50x+3
Step-by-step explanation:
Because the $3 fee is not changing but the 2.50 is changing every pound that they get.
Given : Brandon buys a radio for $45.99 .sales tax rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.
Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.
Price before sales tax + Amount of sales tax= Cost of Radio.
x+7%x =45.99
Or x+0.07x=45.99
1.07x=45.99
Dividing both sides by 1.07.
x= 41.11
Cost of Radio before tax = $41.11
Sales tax paid = 43.99-41.11= 2.88
Tax paid = $2.90 (To nearest cent)
Answer:

Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10(
)
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95