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3 years ago

Jessica started spending more time on

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer:

B. 7.3 %

Step-by-step explanation:

Given:

Initial average grade = 82

Final average grade = 88

Duration for the increase = 3 weeks

Therefore, increase in average grade = Final - Initial = 88 - 82 = 6

Now, percent increase in average grade is given as:

$\% \textrm{increase}=\frac{\textrm{Increase}}{\textrm{Initial grade}}\times 100\\\% \textrm{increase}=\frac{6}{82}\times 100\\\% \textrm{increase}=\frac{600}{82}=7.3\%$

Therefore, the percent increase in her average grade over the 3-week period is 7.3 %.

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The quotient of the opposite of a number squared and three

Mars2501 [29]

Answer:

"The quotient of the opposite of a number squared and 3"

Take "the opposite of a number squared" and call it y.

So you get "The quotient of y and 3"

This is y/3.

Now what is y? "The opposite of a number squared"

Take "The opposite of a number" and call it z.

So y is "z squared"

Replacing y, we get z^2 / 3

But what is z? "The opposite of a number"

Call "a number" x.

The opposite of x is -x.

So z is "-x"

Replacing z, we get (-x)^2 / 3

8 0

3 years ago

Find the midpoint of the segment with the given endpoints.<br><br><br> M(–2, 1) and N(–3, 2)

mafiozo [28]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
M(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad 
N(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3-2}{2}~~,~~\cfrac{2+1}{2} \right)\implies \left(-\frac{5}{2}~,~\frac{3}{2} \right)$

5 0

3 years ago

Read 2 more answers

What is 158% of 200?

Amanda [17]

You would do 200 times 1.58 and that gets you 316 hope this helps :)

7 0

3 years ago

Read 2 more answers

Twice a certain whole number subtracted from 3 times the square of the number leaves 133. Find the number

user100 [1]

Answer:

Step-by-step explanation:

"a certain whole number" is a number that we don't know, so pick a variable, let's use n

"Twice" means two times, so we'll use 2n for this.

"subtracted from" means the 2n will be AFTER the minus sign.

____ - 2n

What goes in front? "3 times the square of the number" 3n^2

Now we have 3n^2 - 2n

Lastly, we see the result is 133. So this gives us:

3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.

3n^2 -2n - 133 = 0 Next FACTOR.

(3n + 19)(n - 7) = 0

3n+19=0 and n-7=0

n=-19/3 and n=7

Since we are looking for a whole number choose n=7

6 0

3 years ago

The height h of a thrown object as a function of horizontal distance d that it has traveled is a quadratic function. An object i

omeli [17]

Answer:

h(d) = (17/3249)(-d² +114d)

Step-by-step explanation:

For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...

f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)

We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...

f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)

Using the appropriate function name and variable, we have ...

h(d) = (17/3249)(-d² +114d)

5 0

3 years ago