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3 years ago

14

The local car dealership has noticed a 3:1

2 answers:

trapecia [35]3 years ago

8 0

32 trucks be safe! Out there!

morpeh [17]3 years ago

6 0

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that $\frac{3}{4}$ of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

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Lynne used 3/8 cup of flour and 1/3 cup of sugar in a recipe. what number is a common denominator for 3/8 and 1/3?

Aleks04 [339]

The common denominator is 24 (8 times 3 is 24)

6 0

3 years ago

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If f(x) = x-5 and g(x) = 3x2-1,<br> what is (fºg)(x)?

Kobotan [32]

Answer:

<h2> $(f\circ \: g)(x) = {3x}^{2} - 6$ </h2>

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

<h3> $(f\circ \: g)(x) = 3 {x}^{2} -1 - 5$ </h3>

We have the final answer as

<h3> $(f\circ \: g)(x) = {3x}^{2} - 6$ </h3>

Hope this helps you

4 0

3 years ago

How to get a square root of a given number

bonufazy [111]

Answer:

See below

Step-by-step explanation:

The square root of a number is defined as $\pm y=\sqrt[2]{x}$ where $(\pm y)^{2}$ gives the original number. For example, $\sqrt{4}=\pm2$ because $2^{2}=2*2=4$ and $(-2)^{2}=-2*-2=4$ .

8 0

3 years ago

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A triangle has 2 sides measuring 12cm and 4cm. What could be the possible lengths of the 3rd side. (Please explain in steps)

katen-ka-za [31]

Answer:

Step-by-step explanation:

You have to use the triangle inequality theorem:

12cm, 4cm, xcm

x > 4cm - 12cm

x > -8cm

x < 12cm - 4cm

x < 8cm

-8cm < x < 8cm

5 0

3 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers