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3 years ago

The functions f(x) = 2x2 + 2 and g(x) = 2x+1 + 2 are graphed on the coordinate plane as shown.

Mathematics

2 answers:

sergeinik [125]3 years ago

6 0

Answer:

Step-by-step explanation:

Given the functions f(x) = 2x^2 + 2 and g(x) = 2^x+1 + 2

If g(x) > f(x)

2^(x+1) + 2 > 2x^2 + 2

2^x*2 + 2 >2x^2 + 2

2^x*2 >2x^2

2^x > x^2

2^x - x^2 > 0

Rina8888 [55]3 years ago

6 0

Answer:

0 < x < 2 and x > 4

Step-by-step explanation:

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In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit

ElenaW [278]

We know area of triangle = $\frac{1}{2} * base * height$

In triangle ABC , AB is the base and BC is the height

Now we find the distance between A and B

Distance formula is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

A(0,3), B(7,3)

Distance AB = $\sqrt{(7-0)^2 + (3-3)^2}$

= $\sqrt{(7)^2 }$ = 7

B(7,3), C(7,7)

Distance BC = $\sqrt{(7-7)^2 + (7-3)^2}$

= $\sqrt{(4)^2 }$ = 4

area of triangle = $\frac{1}{2} * base * height$

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3 years ago

What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu

notsponge [240]

Answer:

The volume of the pyramid is $1,260\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

$B=\frac{1}{2}bh$

we have

$b=14\ cm$

$h=18\ cm$

substitute

$B=\frac{1}{2}(14)(18)=126\ cm^{2}$

step 2

Find the volume

we have

$B=126\ cm^{2}$

$H=30\ cm$

substitute

$V=\frac{1}{3}BH$

$V=\frac{1}{3}(126)(30)=1,260\ cm^{3}$

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3 years ago

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AleksandrR [38]

Answer:

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To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

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identify a pattern in the given list of numbers. then use this pattern to find the next number. 1,5,1,10,1,20,1

saw5 [17]

40 the answer is 40. It’s very easy

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A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?

castortr0y [4]

Answer:

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Step-by-step explanation:

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