So our equation to find this can be represented by 7x + 10 = 45.
(x representing miles run)
Just solve for x!
Subtract the 10 from both sides, you've got
7x = 35
And now to isolate the x, we divide both sides by 7.
Now we're left with just
x = 5!
We can check this by substituting 5 as x in our equation.
7x x 5 + 10 = 45
45 = 45
It's right!
So the runner ran 5 miles total.
Hope this helps!
If I skimmed over this too much, let me know and I'll try to explain the best that I can.
Answer:
The length is 12metres, the width is 6metres
Step-by-step explanation:
Suppose the width is x, the length is x+6
The square is 72. The square of rectangular field is equal to product of length and width.
so x(x+6)=72
x^2+6x-72=0
a=1 b=6 c=-72
D= b^2-4ac= 6*6+288= 36+288= 324
sqrtD= 18
x1= (-b-sqrtD)/2a=(-6-18)/2= -12 (it is negative, but width is only positive. So this root doesn't match)
x2=(-b+sqrtD)/2a= (-6+18)/2= 12/2=6 - the width
The length is 6+6=12
Answer:
Width of the blueprint should be 20.89 ft.
Step-by-step explanation:
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Answer:
A.
Step-by-step explanation:
