Answer: Darla would have to pay $17.69 before tax
Step-by-step explanation:
Total amount in Darla's wallet = $15
She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.
For the gallon of fruit
The first gallon of fruit cost $3.50
The second gallon of fruit has a discount of 50%. We have
(50/100) * 3.50
= $1.75
Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75
= $5.25
Bag of chips
2 bags of chips cost $5 while 1 bag of chips cost $2.65
Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65
1 box of cupcakes = $4.79
The total amount Darla is to pay for the groceries before tax equals
$5.25 + $7.65 + $4.79
= $17.69
This is more than the amount Darla has in her wallet
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
Answer: attached below
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
To evaluate this expression, all we have to do is substitute the given values of the variables into the expression. That is, replace every 
in the expression with a 
and every 
in the expression with a 5.
Doing so, we get:
(Substitute given values into the expression)
(Evaluate exponential term)
(Add)
Hope this helps!
Answer:
Step-by-step explanation:
