Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:

Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:

Dividing both sides by -2 we get:

The number of duck = 1.
Now, putting the value of
in above equation we get:


The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Answer:The equation x² + 7 = 0 has no solution
Explanation:1- using graph:To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions
2- using algebra:To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions
Hope this helps :)
175 red squares out of 1000 squares = 175/1000 = 0.175 of the design is red.
Answer:
Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2
2x^2 + 3x - 20 = 0
(x + 4)(2x - 5) = 0
Solution:
x = -4
x = 5/2