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3 years ago

What is the y and x intercepts .

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

Answer:

y-intercept: (0, -5)

x-intercepts: (-5, 0) , (1, 0)

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1.) (X+9)(x+3)

hodyreva [135]

$(x+9)(x+3)=x^2+3x+9x+27=x^2+12x+27\\\\
(y-5)(y^2-2y+6)=y^3-2y^2+6y-5y^2+10y-30=\\
=y^3-7y^2+16y-30$

5 0

3 years ago

Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral

MAVERICK [17]

Answer:

a. $\frac {2} {s-1}$ converges to s> 1.

b. $\frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $- \frac {2}{s + 3}$ converges to s> - 3.

d. $\frac {s}{s^2 + 25}$ converges to s> 0.

e. $\frac {10} {s^2 + 1}$ converges even s> 0.

f. $\frac {12}{s^2 + 4}$ converges to s> 0.

g. $-\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $\frac {1} {s ^ 2 + 4}$ converges to s> 0.

Step-by-step explanation:

a. $L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1}$ converges to s> 1.

b. $L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3}$ converges to s> - 3.

d. $L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25}$ converges to s> 0.

e. $L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1}$ converges even s> 0.

f. $L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4}$ converges to s> 0.

g. $L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4}$ converges to s> 0.

7 0

3 years ago

Hey, I need some help in math I put the pic down below

EastWind [94]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We find the slope with the given points:

$m = \frac {y2-y1} {x2-x1} = \frac {401-450} {14-7} = \frac {-49} {7} = - 7$

Thus, the line is given by:

$y = -7x + b$

We substitute a point to find "b":

$450 = -7 (7) + b\\450 = -49 + b\\450 + 49 = b\\b = 499$

Finally, the equation is:

$y = -7x + 499$

Answer:

$y = -7x + 499$

4 0

3 years ago

Translate the product of a number and 4 increased by 1 is -3 into a equation

laiz [17]

4x + 1 = -3

"The product" is the term used to describe the answer of a multiplication equation.
"increased by" means you're adding.
"a number" refers to a variable.

7 0

3 years ago

Which value of n makes the following equation true?

grin007 [14]

Answer: d. 512

Step-by-step explanation:

You need to remember that:

$(\sqrt[3]{x})^3=x$