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3 years ago

The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

Answer:

y=x+8 and y=3x

Step-by-step explanation:

The Given point is (4,12)

now we can substitute the point in each of the function and check wether it lies on it or not.

A. y=x+8

substitute y=12,x=4

12=4+8=12 which is true

B. y=3x

substitute y=12,x=4

12=3*4=12 which is true

C. y=2x

substitute y=12,x=4

12=2*4=8 which is not true

D. y=x+6

substitute y=12,x=4

12=4+6=10 . which is not true

Therefore option A and B are correct.

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Find the volume of the triangular prism in the picture shown. Round your answer to the

Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = $9\dfrac{2}{3}$ yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

$V=Bh$ ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}$

$B=2\times \dfrac{29}{3}$

$B=\dfrac{58}{3}$

Putting $B=\dfrac{58}{3}$ and h=4 in (i), we get

$V=\dfrac{58}{3}\times 4$

$V=\dfrac{232}{3}$

$V=77.33...$

$V\approx 77.3$

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0

2 years ago

What is the beat estimate for the quotient? 591.3 device by 29

Sedbober [7]

Hi there!

To estimate, we can round:

591.3 is approximately 600
29 is approximately 30

Now, we divide:

600 / 30 = 20

Hope this helps!

6 0

4 years ago

Is this correct question correct?

____ [38]

No, it is not correct.

First of all, you put the little 4 after the 8.

What you did in the equation is 8x4, not 8x8x8x8.

So, the correct answer to 8x8x8x8 would be 4096.

Any Questions? Comment Below!

-AnonymousGiantsFan

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3 years ago

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Your Nike bill was $165.70. The tax is 30%. How much did you spend in total?

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2 years ago

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#54 Simplify and write the answers using positive exponents only.

kramer

Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
$( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}$ =
$( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}$ =
$(2^{-3})((m^2)^{-3})((n^{-4})^{-3})$ =
$( \frac{1}{2^3})(m^{-6})(n^{12})$ =
$( \frac{1}{8} )( \frac{1}{m^6})(n^{12})$ =
$\frac{n^{12}}{8m^6}$

8 0

3 years ago