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kupik [55]
3 years ago
12

Maranda is buying pencils and a writing pad for her adult writing class. The writing pad she wants costs $3.50, and each pencil

is $0.15 she wants to spend no more than $5 in total of these items.
Mathematics
1 answer:
Kruka [31]3 years ago
3 0
Hello!

3.50 + 0.15 = 3.65

Because both items would cost $3.50 together, Maranda will be eligible to buy them both and stay within her budget of $5.00.
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What is the complete factorization of x2 + 4x − 45?
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Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

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Solve for x:a(a²+b²)x²+b²x-a​
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x = a/(a² + b²) or x = -1/a  

Step-by-step explanation:

a(a²+ b²)x² + b²x - a =0

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2. Solve for x

\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-b^{2}\pm\sqrt{(b^{2}+2a^{2})^{2}}}{2a(a^{2} + b^{2})}\\\\ & = & \dfrac{-b^{2}\pm(b^{2}+ 2a^{2})}{2a(a^{2} + b^{2})}\\\\x = \dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}\\\\x =\dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\\end{array}

\begin{array}{rcl}x = \large \boxed{\mathbf{\dfrac{a}{a^{2} + b^{2}}}}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2b^{2}- 2a^{2}}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2(a^{2}+ b^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\large \boxed{\mathbf{-\dfrac{1}{a}}}\\\\\end{array}

5 0
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4 0
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An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq
tatyana61 [14]
<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h

Then, finding CB by Pythagorean Theorem:

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Answer:

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Step-by-step explanation:

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Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point (\frac{\pi }{6},3)

So unit vector will be y-\frac{\pi }{6}=5.196(x-3)

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3 years ago
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