Select the correct description for the expression x+3/5

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

the answer is A that's the answer

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Rewrite y=5(14)t/6 in the form y=a(1+r)t or y=a(1−r)t. Round the value of r to the nearest ten thousandth. Then tell whether the

Sveta_85 [38]

Answer:

$y=5(1+0.5525)^t$ where r=0.5525 which is in the form of $y=a(1+r)^t$ or $y=a(1-r)^t$ ..

The expression represents an exponential growth function.

Step-by-step explanation:

Given that $y=5(14)^{\frac{t}{6}$

To rewrite the given equation in the form $y=a(1+r)^t$ or $y=a(1-r)^t$ ..

$y=5(14)^{\frac{t}{6}$

$=5((14)^{\frac{1}{6}})^t$

$=5[1.5525]^t$

$y=5(1+0.5525)^t$ where r=0.5525 which is in the form of $y=a(1+r)^t$ or $y=a(1-r)^t$ ..

Since 1.5525 > 1, we have that the expression represents an exponential growth function.

4 0

3 years ago

the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i

timama [110]

We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9

case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure