Answer:
x = 0
x = 7/5
x = -2/3
Step-by-step explanation:
x2 =0
x=0
5x -7 =0
5x = 7
x = 7/5
3x+2 =0
3x = -2
x = -2/3
These are all the 3 roots of this equation
Nine hundred thirteenths if this is a decimal
Answer:
(1, 5)
Step-by-step explanation:
When the center is the origin, the dilation factor multiplies each coordinate:
(2, 10) ⇒ (1/2)(2, 10) = (1, 5)
Answer:No
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
<u>Given</u>:
The height of the bird at time t is given by the function 
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;

Switch sides, we get;

Let us solve the equation using the quadratic formula.
Thus, we get;

Simplifying, we get;



The values of t are given by
and 
and 
and 
Since, the value of t cannot be negative, then 
Thus, the time taken by the bird to eat the worm is
seconds.
Hence, Option B is the correct answer.