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3 years ago

Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.

1 answer:

6 0

Y=0 would be a horizontal line. An asymptote is a line that a function approaches, but never reaches. Exponential functions such as these are a smooth curve. If both numbers are positive numbers greater than or equal to 1, the curve increases. If at least one of the numbers is a positive number between 0 and 1, the curve decreases. If a is a negative number, the curve decreases as well. If either a or b is zero, then the graph would stay constant at 0. However, as long as neither a nor b is zero, then this graph will never touch that point. The only way to get an answer of y=0 is to multiply by 0. If neither a nor b is zero, this won't happen.

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A what is a positive whole number greater than 1 that has only one and itself as factors?

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the answer is a "prime number"

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3 years ago

E. Write each question in words 1. 36 hundredths divided 9 tenths

natita [175]

Thirty six hundredths divided by nine tenths

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3 years ago

1. Find the area of the following geometric figure.

S_A_V [24]

Answer:

1. Area of the triangle is $96m^2$ .

2. 2 gallons of paint will you need to cover 224 sq.ft

3. Volume of the following solid(to the nearest tenth), is 580.1 $cm^3$ .

4. The area cover is 242 sq. ft.

5. The sides of the triangle on the drawing should be 6, 8, and 9 inch

Step-by-step explanation:

Given:

Base of the triangle(b) is 16 m

and altitude of the triangle(h) is 12 m.

To find the Area of the triangle(A), given by;

$A=\frac{1}{2}\left (b\cdot h\right)$

$A=\frac{1}{2}\left (16\cdot 12\right)$ $=8 \cdot 12=96 m^2$

Therefore, the Area of the triangle is $96m^2$ .

Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.

First find the area(A) of one wall.

$A=b\cdot h$

where b is the width and h is the height of the wall.

$A=8ft\cdot 7ft$ = $56ft^2$ .

Now, area for four walls is, $4\cdot 56=224 ft^2$

Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.

for 224 sq ft cover in , $\frac{224}{160} =1.4$ gallon of paint

2 gallons of paint will you need to cover 224 sq.ft.

Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm

length (l)=10.5 cm

breadth(b)=6.5 cm

height(h)=8.5 cm

Volume of rectangular solid(V) is given by, $V=lbh$

$v=10.5\cdot 6.5\cdot 8.5$ $=580.125 cm^3$

Therefore, the volume of the following solid(to the nearest tenth), is 580.1 $cm^3$ .

Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.

length(l)=22 ft

Wide(w)= 11 ft

Area cover (A) is given by, $A=lw$

$A=22\cdot 11=242 ft^2$

Therefore, the area cover is 242 sq. ft.

Given: A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing

Use: 1 inch = 2 feet.

Convert each sides of a triangle into inches.

12 feet

1 inch = 2 feet

12 feet = 6 inch

similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch

Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch

3 0

3 years ago

Read 2 more answers

Does 24, 7, and 26 form a right triangle

const2013 [10]

Answer:

No. It is an obtuse triangle.

Step-by-step explanation:

If c^2>a^2+b^2, then the triangle is obtuse. Since 24^2 + 7^2 is 625, and the square root of 625 is 25, that means 26>25. This proves that the triangle is obtuse.

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3 years ago

Which of the following is not a theorem taught from this lesson?

MariettaO [177]

Answer:

The altitude to the base of an isosceles triangle bisects the vertex angle of the triangle.

Step-by-step explanation:

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2 years ago