Answer:
1. 8x+9
2. 3x + 11
3. 9x + 8
4. 11x+9
5. 6x
6. 10x+ 8
7. 7x+7
Step-by-step explanation:
Answer: $22.68
Step-by-step explanation:
17.50 times 0.08 = 1.40
17.50 + 1.40 = 18.90
Now the tip:
18.90 times .2 = 3.78
18.90 + 3.78 = 22.68
Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:
Statement Reason
1. K is the midpoint of segment JL Given
2. segment JK ≅ segment KL <em>Definition of midpoint</em>
3. <em>L is the midpoint of segment KM</em> Given
4. <em>segment KL ≅ segment LM</em> Definition of midpoint
5. segment JK ≅ segment LM Transitive Property of
Congruence
Explanation:
1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL, the statement follows from the very <em>Definition of midpoint</em>.
2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .
3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .
4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that segment JK ≅ segment LM.
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
<h3>What is a polynomial?</h3>
A polynomial is is a function that contains an algebraic term which is raised to a particular power.
- If it is raised to power 1 it is linear
- If it is raised to power 2 it is quadratic
- If its is raised to power 3 it is cubic
- If it i raised to power 3 it is quartic
Now we have;
4x³ + 5x² – 18x + 9
Thus we can write;
4x³ – 3x² + 8x² – 6x – 12x + 9
Using the factors;
x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)
Therefore;
(4x – 3)(x² + 2x– 3)
(4x – 3)(x² + 3x – x – 3)
(4x – 3)(x + 3)(x – 1)
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
Learn more about polynomials:brainly.com/question/21334281
#SPJ1
Answer:
Let the cost of each popcorn bag be x and cost of each drink be y
Cost of 9 bags of Popcorn= 9 x
Cost of 8 drinks be = 8 y
Total money spent by Makayla = $ 49
According to Question
9 x + 8 y= 49..................... equation (1)
Similarly , cost of 3 popcorn = 3 x
Cost of 3 drinks= 3 y
Total money spent by Caroline= $ 17.25
According to Question
3 x+ 3 y= $ 17.25...................equation(2)
We can solve above equation by using elimination method
Multiply equation (2) by 3
9 x + 9 y = 51.75..................equation(3)
9 x + 8 y= 49..................... equation (1)
Subtraction equation (1 ) from equation(3)
y = 2.75
put value of y in any equation (2)
we get
3 x + 3 × 2.75 = 17.25
3 x + 8.25 = 17.25
3 x = 17.25 - 8.25
3 x = 9
x = 3
Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)
