Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
The length of missing sides x = 5 units and y = 5 units.
<h3>What is Trigonometric ratios?</h3><h3>The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).</h3>
In ΔABC,
AB (Base) = y , BC(Hypotenuse) = 
, CA (perpendicular) = x
and ∠ABC = 
Now,
tan = perp. / base
1 = x /y
x= y .................(i)
again,
sin = perp. / Hypo.
x = 5
put in equation (i), we get
y = 5
Thus, the length of missing side of the given triangle is x = 5 units and y = 5 units.
Learn more about trigonometric ratios from :
brainly.com/question/1201366
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The volume of rectangular prism = length x height x width
so sub in the above equation we get
840 = length x 6 x 10
length = 840 /(60 x 10)
length = 14 inches
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
Answer: The unit for Warren’s data is the number of cars sold each day.
Sorry for the answer being so late!
