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3 years ago

Guthrie made the input-output table shown below.

Mathematics

1 answer:

Inga [223]3 years ago

3 0

9514 1404 393

Answer:

C 3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

C 3x +1 = y

If you check this against the table entries, you find it fits.

3(1) +1 = 4

3(2) +1 = 7

and so on.

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2 years ago

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3 years ago

Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(

GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17 $mm^2$

The surface area of the triangular prism is 55.5,127.5,135,or 150 $mm^2$

Answer:

(B)2 triangular faces

(A)Area of one Triangular Face $=7.5mm^2$

(C)Total Surface Area of the Triangular prism $=135mm^2$

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face $=\frac{1}{2}*6*2.5=7.5mm^2$

The dimensions of the lateral rectangles are:

2.5 mm by 8mm
6 mm by 8mm
6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

$=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2$

Total Surface Area of the Triangular prism $=135mm^2$

8 0

3 years ago

How many like terms are in the expression:5a^2+6b+a^2-3b-2+4c.

Goryan [66]

Solution

Part 3

For this case we have 6 different terms

Part 4

We can do the following:

$5a^2+a^2+6b-3b+4c-2$

Part 5

And we can simplify on this way:

$6a^2+3b+4c-2$

7 0

1 year ago