Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form 
Where a, b, c are constants
Now, let's arrange this equation in this form:

Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:

If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:

Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Answer:

Step-by-step explanation:
The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.
Thus 35 - 9x becomes
. We add a constant C for any possible constant that was eliminated during differentiation.
Answer:
x = 3
y = 0
Step-by-step explanation:
The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.
4x + 2y = 12
x = y + 3
The second equation is already sovled for parameter (x), subttiute this into the other equation,
4(y + 3) + 2y = 12
Distribute,
4y + 12 + 2y = 12
Simplify,
6y + 12 = 12
Inverse operations,
6y + 12 = 12
-12
6y = 0
/6
y = 0
Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,
x = y + 3
x = 0 + 3
x = 3
Answer: 12
Step-by-step explanation: I assume you are talking about a triangle in which the Hypotenuse is 15 and leg A is 9
in this case we have to use a reverse pythagorean theorem
the original one is a^ + b^ = c^ then reverse it to get c^ - a ^ = b^
we know that C is 15 and A is 9 so substitute
15^ - 9^ = b^
15 ^ = 225 and 9^ = 81 so substitute again
225 - 81 = b^ then subtract
144 = b^ you know that the square root of 144 is 12 because 12 x 12 = 144
so 12 is the last side
hope this helps mark me brainliest if it did