Answer:
11/10
Step-by-step explanation:
To have a fraction greater than 1, you have to have a numerator (The top one in the fraction) greater than a denominator (the bottom one in the fraction). 7 is less than 8 and 11 is greater than 10 so that means that 11/10 is greater than 1.
Answer:
Why you white you look so dum animal
Step-by-step explanation:
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first write down the equation we are going to solve.
( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6
To begin with, we will expand the brackets => [ ]
( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6
Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.
( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12
Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).
( - 9 / 3 )h = - 18
- 3h = - 18
h = - 18 / - 3
h = 18 / 3
h = 6
FINAL ANSWER:
Therefore, the answer is:
h = 6
Hope this helps! :)
Have a lovely day! <3
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer:
(-1, 5)
(0, 3)
(2, -1)
Step-by-step explanation:
we have
Remember that
If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function
<u><em>Verify each case</em></u>
case a) (-2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case b) (-1, 5)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case c) (0, 3)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case d) (1,0)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case e) (2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function