We first factor this quadratic. We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)
The zero product property tells us that in order to get a product of zero, one of the factors must be zero. This means either x-4=0 or x+3=0. We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4
x+3=0
x+3-3=0-3
x=-3
Answer:
The GCF (12, 78) is 6 and GCF (18, 176) is 2.
Step-by-step explanation:
Step 1:
The greatest common factor of the number is defined as the factor of two or more numbers. The acronym of Greatest common factor is GCF.
(a)
GCF (12, 78)
The greatest common factor of the two numbers 12 and 78 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 6.
Step 2:
(b)
GCF (18, 176)
The greatest common factor of the two numbers 18 and 176 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 2.
Answer:
Step-by-step explanation:
y = 5x + 4
-5x + y = 4 ----------------------(i)
3x + 2y = 20 --------------------(ii)
Multiply equation (i) by (-2)
(i)* (-2) 10x - 2y = -8
(ii) <u>3x + 2y = 20</u> { Now add this two equations}
13x = 12 { -2y and 2y got eliminated}
x = 12/13
Plug in value of x in (i)
-5*12/13 + y = 4
-60/13 + y = 4
y = 4 + 60/13
You simply find 3/4 of 18, which is 13.5 inches.
The solution to the equations x - 4y = 0, x - y + 3z = 3 and 2x - 3y - z = -7 is x = -4, y = -1 and z = 2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Given the equations:
x = 4y
x - 4y = 0 (1)
Also:
x - y + 3z = 3 (2)
And:
2x - 3y - z = -7 (3)
The solution to the equation is:
x = -4, y = -1 and z = 2
The solution to the equations x - 4y = 0, x - y + 3z = 3 and 2x - 3y - z = -7 is x = -4, y = -1 and z = 2
Find out more on equation at: brainly.com/question/2972832
#SPJ1