Answer:
Bernardo
Step-by-step explanation:
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Step-by-step explanation:
We need to pick the expression that matches this description:
A trinomial with a leading coefficient of 3 and a constant term of -5
First lets explain the terms:
Trinomial: a polynomial having 3 terms
Leading coefficient: The constant value of variable having highest power
Constant term: Having no variable and value cannot be changed.
Now using these definitions, we can choose the correct option
Option A is incorrect because the expression has 2 terms
Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.
So, Option C is correct.
Keywords: Algebra
Learn more about Algebra at:
#learnwithBrainly
<h3>
Answer:</h3>
B. (0, 9)
<h3>
Step-by-step explanation:</h3>
Reflection across x=a is represented by the transformation ...
... (x, y) ⇒(2a-x, y)
Reflection across y=b is represented by the transformation ...
... (x, y) ⇒ (x, 2b-y)
The double reflection, across x=2, y=1 will result in the transformation ...
... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)
For (x, y) = X(4, -7), the transformed point is ...
... X''(4-4, 2-(-7)) = X''(0, 9)
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
Let x be the number of dimes
and y be the number of quarters
Total number of coins = 12
So number of dimes + number of quarters = total number of coins
x + y = 12 ---------> equation 1
We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196
y quarters = 25y cents , x dimes = 10x cents
x dimes + y quarters = 195 cents
10x + 25y = 195 -----------> equation 2
Now solve both equations
x + y =12, we solve for y by subtracting x on both sides
y = 12-x
Now substitute y in second equation
10x + 25(12-x) = 195
10x + 300 -25x = 195 (combine like terms)
-15x + 300 = 195 (subtract 300 on both sides)
-15x = -105 ( divide by -15)
x=7
y= 12-x
y=12-7 = 5
The number of dimes = 7
Number of quarters = 5
