Answer:
<u>Answer (a):</u>
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
<u>Answer (b)</u>
9 large dogs.
Step-by-step explanation:
Paws at Play made a total of $1234 grooming 22 dogs.
Paws at Play charges $43 to groom each small dog and;
$75 for each large dog.
Let the number of small dogs be 's'
And the number of large dogs be 'l'
<u>A system of equations will be:</u>
s + l = 22 ... (i)
43s + 75l = 1234 ... (ii)
Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;
43s + 43l = 946 ... (i)
43s + 75l = 1234 ... (ii)
Subtracting (i) from (ii) we get;
32l = 288 , l = 
= 9
So there are 9 large dogs.
x²-6x =7
First we have get rid of that 7 from the right side and move it to the left side. To move 7 to the left side, we have to subtract 7 from both sides.
x²-6x-7= 7-7
x²-6x-7 = 0
To make this equation a perfect square, first we have to check the x term. Here -6x given. We have to divide the co-efficient of x by 2, and then we have to add the square of it.
The co-efficient of x is -6 here. Dividing it by 2, we will get -6/2 = -3.
We will have to add (-3)² here. (-3)² is 9. So in the place of -7, we have to make 9, to make the equation a perfect square.
9-(-7) = 9+7 = 16
So by adding 16 to the left side, we can make the equation a perfect square.
x²-6x-7+16 =0
x²-6x+9 =0
x²-6x+(-3)² =0
(x-3)² =0
Answer:
P(1,-1)
Step-by-step explanation:
x=5 - 4 (left towards negative x) = 1
y= -4 + 3 (up towards positive y) = -1
Forty million, twenty-three thousand and thirty-two
