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Step2247 [10]
3 years ago
7

Math short answer help!!!? Dakota's math test grade was 7 points less than his science test grade . the sum of the grades was 18

3% what did Dakota get on his math test??
Mathematics
2 answers:
cricket20 [7]3 years ago
6 0
<span>Math short answer help!!!? Dakota's math test grade was 7 points less than his science test grade . the sum of the grades was 183% what did Dakota get on his math test??
88%</span>
Luba_88 [7]3 years ago
3 0

Answer:  Dakota scored 88% in math test.

Step-by-step explanation:  Given that Dakota's math test grade was 7 points less than his science test grade and the sum of the grades in both the grades was 183%.

We are to find the grades that Dakota got in his math test.

Let x% and y% be the grades scored by Dakota in math and science respectively.

Then, according to the given information, we have

x=y-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

x+y=183\\\\\Rightarrow (y-7)+y=183~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (i)}]\\\\\Rightarrow 2y-7=183\\\\\Rightarrow 2y=183+7\\\\\Rightarrow 2y=189\\\\\Rightarrow y=\dfrac{190}{2}\\\\\Rightarrow y=95.

From equation (i), we get

x=95-7=88.

Thus, Dakota scored 88% in math test.

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Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

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r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
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The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

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So, we have:

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Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

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Read more about functions at:

brainly.com/question/21027387

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