g(x) = f(x) + 3
Since you know f(x) = 3x - 2, you can plug in (3x - 2) for "f(x)" in the equation:
g(x) = f(x) + 3
g(x) = (3x - 2) + 3
g(x) = 3x - 2 + 3
g(x) = 3x + 1
Given
-11.2+4(2.1+q) = -0.8
Take -11.2 to the right hand side of the equation (sign will change when we move it to the other side)
∴ 4(2.1+q) = -0.8 + 11.2
Simply both sides
∴ 4*2.1 + 4*q = 11.2-0.8
∴ 8.4 + 4q = 10.4
Take 8.4 to the right hand side
∴ 4q = 10.4 - 8.4
∴ 4q = 2
∴ q = 2/4
∴ q = 1/2 = 0.5
Answer:
see explanation
Step-by-step explanation:
a and 85 form a straight angle and are supplementary, thus
a + 85 = 180 ( subtract 85 from both sides )
a = 95
b and 85 are vertical angles and are congruent, thus
b = 85
c and 85 are corresponding angles and congruent, thus
c = 85
c and d are vertical angles and congruent, thus
d = 85
In conclusion
a = 95, b = 85, c = 85, d = 85
Answer:
The number of penguins on the island is 17 and the number of bears on the island is 4.
Step-by-step explanation:
We are given that an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island.
Let the number of penguins on the island be 'x' and the number of bears on the island be 'y'.
Also, we know that bears and penguins both have one head, and the bear has 4 feet and the penguin has 2 feet.
<u>So, according to the question;</u>
- The first condition states that there are 21 heads, that means;
x + y = 21
x = 21 - y ---------------- [equation 1]
- The second condition states that there are 50 feet on the island, that means;
2x + 4y = 50
x + 2y = 25
21 - y + 2y = 25 {from equation 1}
y = 25 - 21
y = 4
Now, putting the value of y in equation 1, we get;
x = 21 - y
x = 21 - 4 = 17
Hence, the number of penguins on the island is 17 and the number of bears on the island is 4.