Answer : 4th option
A equation is given to us and we need to find out its graph from the options . The given equation is ,
→ y = -2x + 1
Comparing this equation to the slope intercept form of the line which is y = mx + c , where m is the slope and c is y intercept. We have ,
So the equation of the line will cut y axis at (0,1) and will have a negative slope .
- Since the slope is negative , it will make an obtuse angle in anti clockwise direction with the x axis .
And the graph which satisfies the above conditions is in 4th option .
<u>Hence</u><u> the</u><u> </u><u>correct</u><u> answer</u><u> is</u><u> </u><u>4</u><u>t</u><u>h</u><u> </u><u>option</u><u> </u><u>.</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em>. </em>
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
Answer:
She should have used One-half (9.4) (11.9) to represent the area of a single triangle
Step-by-step explanation:
The pyramid is composed by 4 triangles and 1 square
area of the square: base² = 9.4²
area of each triangle = 1/2*base*height = 1/2*9.4*11.9
surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²
