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3 years ago

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Which is the asymptote of the graph? y=0, y=1, y=2, y=3

1 answer:

nordsb [41]3 years ago

8 0

Answer:

the asymptote would be zero because the graph is approaching zero, but never actually touches it.

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Solve the equation. Round to the nearest hundredth. Show work.

muminat

Answer:

Final answer is approx x=0.16.

Step-by-step explanation:

Given equation is $2.8\times 13^{4x} +4.8 = 19.3$

Now we need to solve equation $2.8\times 13^{4x} +4.8 = 19.3$ and round to the nearest hundredth.

$2.8\times 13^{4x} +4.8 = 19.3$

$2.8\times 13^{4x} = 19.3-4.8$

$2.8\times 13^{4x} = 14.5$

$13^{4x} = \frac{14.5}{2.8}$

$13^{4x} = 5.17857142857$

$\log(13^{4x}) = \log(5.17857142857)$

$4x \log(13) = \log(5.17857142857)$

$4x = \frac{\log(5.17857142857)}{\log\left(13\right)}$

$4x = 0.641154659628$

$x = \frac{0.641154659628}{4}$

$x = 0.160288664907$

Round to the nearest hundredth.

Hence final answer is approx x=0.16.

4 0

3 years ago

Given the triangle below,what is the length of the hypotenuse

motikmotik

Hypotenuse = 9cm^2+ 13cm^2
=81 +169
=250
= \{250}(find the square root)

=16cm^2(hypotenuse)

6 0

3 years ago

Read 2 more answers

The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?

joja [24]

Answer:

$b=-12$

Step-by-step explanation:

we have

$f(x)=x^{2}+bx+10$

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to $x=h$

In this problem we have the axis of symmetry $x=6$

so

the x-coordinate of the vertex is equal to $6$

therefore

For $x=6+1=7$ -----> one unit to the right of the vertex

Find the value of $f(7)$

$f(7)=7^{2}+b(7)+10$

$f(7)=59+7b$

For $x=6-1=5$ -----> one unit to the left of the vertex

Find the value of $f(5)$

$f(5)=5^{2}+b(5)+10$

$f(5)=35+5b$

Remember that

$f(5)=f(7)$ ------> the x-coordinates are at the same distance from the axis of symmetry

so

$59+7b=35+5b$ ------> solve for b

$7b-5b=35-59$

$2b=-24$

$b=-12$

3 0

3 years ago

Read 2 more answers

Graph f(x)=3x-1 and g(x)=2^x on the same coordinate plane.

julsineya [31]

Answer:

B. 1 and D. 3.

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³

3 - 1 = 2 9 - 1 = 8

2 = 2 8 = 8

7 0

3 years ago

Richard earns 2700 a month. He received a 3% raise. What is Richards new annual salary

elena-14-01-66 [18.8K]

$2700 \times 103\% = 2781 \: (monthly) \\ 2781 \times 12 = 33372 \: (annual)$
The answer is $33,372

Hope this helps.

- Max

7 0

3 years ago