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patriot [66]
2 years ago
12

Daniels mom started a college savings account for him when he was born.she opened the account with $5 and planned to deposit $10

0 each month.the equation represents the balance in the account,y,based on the number of months since the account was opened,x.write the equation
Mathematics
1 answer:
Tanzania [10]2 years ago
8 0

Answer:

m(x) = 5 + 100x

Step-by-step explanation:

Let m(x) be the balance of the account after x months.

m(x) = 5 + 100x

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There are 9 more turtles in the water than on a log. 13 turtles are on the water. How many turtles are on a log? Please explain
Snezhnost [94]
Well the answer is 4 because 13 in the water
9 more than the ones on the log
so the log has 9 turtles less than the turtles in the water
4 0
2 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
What percent of 100.9 is 82??
Oksi-84 [34.3K]

Answer:

81%

Step-by-step explanation:

82/100.9=0.81\\0.81*100=81%

5 0
2 years ago
Which property can you use to show that 3x +{2x+4} is equivalent to {3x + 2x} + 4
yuradex [85]

Answer:

3x+2x=5x but 4 can't add to 3x and 2x

6 0
3 years ago
Which is the value of this expression when a=5 and k=-2
Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

3 0
3 years ago
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