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3 years ago

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The ratio of green marbles to yellow marbles in Naafay's bag is equal to 2:3. What percent of the marbles in the bag are green m

arbles?

1 answer:

mina [271]3 years ago

7 0

It is 80% just writing random things so it can be 20 words

You might be interested in

The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter

ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

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

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.

Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

$\displaystyle y=a(x-(-2))^2+(-3)$

Simplify:

$y=a(x+2)^2-3$

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

$(-2)=a(-5+2)^2-3$

Solve for <em>a</em>. Simplify:

$\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}$

Therefore, our full vertex equation is:

$\displaystyle y=\frac{1}{9}(x+2)^2-3$

We can expand:

$\displaystyle y=\frac{1}{9}(x^2+4x+4)-3$

Simplify:

$\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}$

The coefficient of the squared term of the equation is 1/9.

3 0

3 years ago

PLEASE HELP WITH THIS

Lady bird [3.3K]

Answer:

$33 - 2x = {x }^{2} + 2x + 1 \\ {x}^{2} + 4x - 32 = 0 \\ x = 8 \\ \\ x = 4$

5 0

2 years ago

Read 2 more answers

Before starting their graduate studies, a student wants to rent an apartment near the university. She wants to learn how the dis

madreJ [45]

Answer:

The resulting residual value is e=-40.24.

Step-by-step explanation:

The residual value e for a regression model is defined as the difference between the real value y and the predicted value yp:

$e=y-y_p$

The predicted value for DISTANCE=0.43 miles is:

$RENT = 1200.4326 - 256.2567\cdot DISTANCE\\\\RENT(0.43) = 1200.4326 - 256.2567\cdot 0.43\\\\RENT(0.43) = 1200.4326 - 110.1904=1090.2422\\\\$

Then, if the real value is $1,050, the residual value is calculated as:

$e=y-y_p\\\\e=1050-1090.2422=-40.2422$

5 0

3 years ago

What is (8m^7 - 10m^5) / 2m^3 ?

Colt1911 [192]

4m^4-5m^2

Basically you divide each term by the denominator
this is akin to splittting fraction. Just as you can add 2/5 and 4/5 to get (2+4)/5, like wise you can split apart fractions. By doing this, you get two fractions and you can evaluate them individually

7 0

4 years ago

Read 2 more answers

What are the steps to (3w^3+7^2-4w+3) and (w+3)

Crazy boy [7]

<span>Equation at the end of step 1 :</span><span> <span> Step 2 :</span></span><span>Equation at the end of step 2 :</span> <span> Step 3 :</span><span> 3w3 + 7w2 - 4w + 3 Simplify / w + 3 </span>Checking for a perfect cube :

<span> 3.1 </span> <span> 3w3 + 7w2 - 4w + 3</span> is not a perfect cube

Trying to factor by pulling out :

<span> 3.2 </span> Factoring: <span> 3w3 + 7w2 - 4w + 3</span>

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -4w + 3
Group 2: <span> 3w3 + 7w2</span>

Pull out from each group separately :

Group 1: (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: <span> (3w + 7) • (w2)</span>

<span>Bad news !! Factoring by pulling out fails :

</span>The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

<span> 3.3 </span>   Find roots (zeroes) of :      <span> F(w) = 3w3 + 7w2 - 4w + 3</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers w which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is <span> 3.

</span>The factor(s) are:

of the Leading Coefficient : <span> 1,3
</span>of the Trailing Constant : <span> 1 ,3

</span>Let us test ....

<span><span> P Q P/Q F(P/Q) Divisor</span><span> -1 1 -1.00 11.00 </span><span> -1 3 -0.33 5.00 </span><span> -3 1 -3.00 -3.00 </span><span> 1 1 1.00 9.00 </span><span> 1 3 0.33 2.56 </span><span> 3 1 3.00 135.00 </span></span>

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

<span> 3.4 </span>   Polynomial Long Division
Dividing : <span> <span>3w3 + 7w2 - 4w + 3</span>
                              ("Dividend")
</span> By         :   <span> w + 3    ("Divisor")
</span>

<span><span>dividend <span> 3w3 </span>+<span> 7w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* 3w2</span> </span> <span> 3w3 </span>+<span> 9w2 </span> </span><span>remainder -<span> 2w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* -2w1</span> </span> -<span> 2w2 </span>- 6w </span><span>remainder 2w + 3 </span><span>- divisor<span> <span>* 2w0</span> </span> 2w + 6 </span><span>remainder - 3 </span></span>

Quotient : <span> <span>3w2 - 2w + 2</span>
</span> Remainder : <span> -3
</span>

Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

5 0

3 years ago