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pogonyaev
3 years ago
6

in a parking garage, the number of SUV's is 40 percent of the non SUV's. Gina counted 98 suv's in the parking garage. How many v

ehicals were parked in the garage
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0
You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

0.4x = 98
x = 245 vehicles

Or write a proportion using the fraction for 40%.

2/5 = 98/x

5 x 49 = 245

There are 245 vehicles in the garage.
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Which of the equations below could be the equation of this parabola?
nirvana33 [79]

Answer:

 y=-4x^2  is the equation of this parabola.

Step-by-step explanation:

Let us consider the equation

y=-4x^2

\mathrm{Domain\:of\:}\:-4x^2\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}-4x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:-4x^2:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)

As

\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=a\left(x-m\right)\left(x-n\right)

\mathrm{is\:the\:average\:of\:the\:zeros}\:x_v=\frac{m+n}{2}

y=-4x^2

\mathrm{The\:parabola\:params\:are:}

a=-4,\:m=0,\:n=0

x_v=\frac{m+n}{2}

x_v=\frac{0+0}{2}

x_v=0

\mathrm{Plug\:in}\:\:x_v=0\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}

y_v=-4\cdot \:0^2

y_v=0

Therefore, the parabola vertex is

\left(0,\:0\right)

\mathrm{If}\:a

\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}

a=-4

\mathrm{Maximum}\space\left(0,\:0\right)

so,

\mathrm{Vertex\:of}\:-4x^2:\quad \mathrm{Maximum}\space\left(0,\:0\right)

Therefore,  y=-4x^2  is the equation of this parabola. The graph is also attached.

7 0
3 years ago
Please show work and be done soon
stich3 [128]

9514 1404 393

Answer:

  x = 22.5°

Step-by-step explanation:

Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...

  4x +4x = 180°

  x = 22.5° . . . . . . divide by 8

_____

BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.

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PLEASE HELPPP ASAPP!!<br><br> Combine and simplify the following radical expression.
Greeley [361]

After demonstrating the procedure by algebraic means, the expression (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) <em>is equivalent to</em> 6\cdot \sqrt[3]{24}.

In this question we proceed to <em>simplify</em> (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) by <em>algebraic</em> means into a <em>single</em> <em>radical</em> expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

  1. (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )  Given.
  2. (2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2}  ) Commutative property/ Associative property.
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After demonstrating the procedure by algebraic means, the expression (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) <em>is equivalent to</em> 6\cdot \sqrt[3]{24}.

To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591

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max2010maxim [7]

Answer:

the answer is 3(2+y)

Step-by-step explanation:

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