Answer:
D. 7n = 28
Step-by-step explanation:
Let's substitute 4 for n in each equation to check if it the resulting equation is correct:




Therefore the answer is D
Answer:
x=3
Step-by-step explanation:
4x-8=4
4x=12
4x/4=12/4
x=3
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy
Let the two integers be x and y respectively
Hence;

From the first equation ;

Substitute into the third equation

Open up the bracket

Take everything to the right hand side of the equation and you'll have a quadratic equation

Solve the quadratic equation and you'll have two roots

Substitute for each value of y in the first equation
Therefore:




Therefore the answer is A
The formula for a discriminant is b^2-4ac
so, (-7)^2 -4(3)(6) simplifies to 49-72 which equals -23