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3 years ago

If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?

Mathematics

1 answer:

allochka39001 [22]3 years ago

8 0

Answer:

289819

Step-by-step explanation:

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The graph of y=tanx+1 crosses the y-axis at

Doss [256]

The graph of y=tanx+1 crosses the y-axis at (0,1).

6 0

3 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.

Explanation:

The exponential equation is $e^{5 x}=6$

If $f(x)=g(x)$ , then $\ln (f(x))=\ln (g(x))$

Thus, the equation becomes

$\ln \left(e^{5 x}\right)=\ln (6)$

Applying log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ and thus the equation becomes

$5 x \ln (e)=\ln (6)$

Since, we know that, $\ln (e)=1$ , using this we get,

$5 x=\ln (6)$

Hence, the logarithmic equation which is equivalent to the exponential equation $e^{5 x}=6$ is $\ln 6=5 x$

Thus, Option B is the correct answer.

7 0

3 years ago

Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2

HACTEHA [7]

Answer:

x^4 - 2x^3 - 29x^2 - 42x

Step-by-step explanation:

Equal all the zeros to x then move them over.

x=7,x=-3,x=0,x=-2

x-7,x+3,x+0,x+2

Then multiply each factor

(x-7)(x+3)(x)(x+2)

x^4 - 2x^3 - 29x^2 - 42x

7 0

3 years ago

What the equation solved for the slope m?

nata0808 [166]

well i have to see the equation to know

8 0

3 years ago

Michelle is building shelves for her room. She has a plank 137 inches long that she wants to cut into 7 shelves of equal length.

bixtya [17]

Because she cut off a total of 4 inches, the plank is now 133 inches long. Divide 133 by 7 to get her 7 equal parts, and <u>each shelf will be 19 inches.</u>

4 0

3 years ago