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3 years ago

PLEASE HELP ME ASAP THIS IS A EXAM

Mathematics

1 answer:

Alexxx [7]3 years ago

5 0

Answer:

Can't help if its an exam, check the honor code.

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Let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))

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F (5x^2 - 1) = 75x^4 - 35x^2 + 6

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Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr

zhannawk [14.2K]

We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA= $\sqrt{3}$ . Hence CM=GC+GM=3* $\sqrt{3} /$ . Now, since GM is normal to AB, we have by the pythagoeran theorem that:
$AC^2=AM^2+GM^2=BM^2+GM^2=BC^2$
Hence, we calculate from this that AC^2= 28, hence AC=2* $\sqrt{7}$ =BC. Thus, the perimeter of the triangle is 2+4* $\sqrt{7}$ .

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3 years ago

This number was rounded to the nearest hundred thousand. List the possible digits that could go in the ten thousands place to ma

aleksklad [387]

The possible digits could be 0, 1, 2, 3, or 4 as they would cause the entire number to round down instead of up.

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3 years ago

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A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Further explanation:

Given:

A local company rents a moving truck for $\$ 750.$

Rent per mile is $\$ 0.59$ if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is $\$ 750$ if he drove less than 1000 miles.

${\text{Cost}} = \$ 750{\text{ }}x \leqslant 1000$

The rental cost of the truck can be expressed as follows,

${\text{Cost}} = 750 + 0.59x{\text{ }}x > 1000$

The rental cost is at most $\$1000.$

$750 + 0.59x \leqslant 1000$

The maximum number of miles can be obtained as follows,

$\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}$

The maximum number of miles can be obtained as follows,

$\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}$

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over

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3 years ago

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Multi step equations for 20= x + 1

vekshin1

Answer:

x = 19

Step-by-step explanation:

just subtract 1 from both sides of the equation

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3 years ago