The picture is off point so I can’t read the entire paper!! Sorry and GOOD LUCK
y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Step-by-step explanation:
We need to identify Non-Linear Functions from the equations given.
First we will define Non-Linear Functions
<u>Linear Functions</u>
A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.
<u>Non-Linear Functions</u>
A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.
So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.
So, y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Keywords: Linear and Non-Linear Functions
Learn more about Linear and Non-linear functions at:
#learnwithBrainly
Answer:
Step-by-step explanation:
Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.
2p - 3q = 4 ...................... 1 * 3
3p + 2q = 9 ..................... 2 * 2
Multiplying equation 1 by 3 and 3 by 2:
6p - 9q = 12
6p + 4q = 18
Subtracting both equation
-9q-4q = 12-18
-13q = -6
q = -6/-13
q = 6/13
Substituting q = 6/13 into equation 2
2p - 3(6/13) = 4
2p - 18/13 = 4
2p = 4+18/13
2p = (52+18)/13
2p = 70/13
p = 70/26
p = 35/13
<em>Hence p = 35/13 and q = 6/13</em>
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<em>b) </em>If if 223ₓ = 87 find x
Using the number base system and converting 223ₓ to base 2 will give us;
223ₓ = 2*x² + 2*x¹ + 3*x⁰
223ₓ = 2x²+2x+3
Substituting back into the equation, 2x²+2x+3 = 87
2x²+2x+3-87 = 0
2x²+2x-84 = 0
x²+x-42 = 0
On factorizing:
(x²+6x)-(7x-42) = 0
x(x+6)-7(x+6) = 0
(x+6)(x-7) = 0
x+6 = 0 and x-7 = 0
x = -6 and 7
<em>Hence the value of x is 7 (neglecting the negative value)</em>
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle =
bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle =
× 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:
0.5 feet × 0.6 feet
Step-by-step explanation:
10/20 = 0.5
12/20 = 0.6