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3 years ago

What is an equation of the line that is parallel to y=3x-8 and passes through point (4,-5)?

1 answer:

5 0

The equation of the line that is // to the given equation MUST HAVE THE SAME SLOPE.

The slope of the hiven equation is the number next to x or 3.

See it?

We know the slope is 3 and one point is given.

We now use the point-slope formula to find the equation.

y - y_1 = m(x - x_1)

See picture. The answer is y = 3x - 7.

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Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

Please help!!! ive been stuck on this for 30 minutes now!

max2010maxim [7]

Answer:

f^-1 = 4(x-3)

Step-by-step explanation:

If f(x) = 1/4(x) + 3 we ned to find f^-1.

To find the inverse function, we need to solve the equation for "x", as follows:

f(x) = 1/4(x) + 3

y = 1/4(x) + 3

y-3 = 1/4(x)

4(y-3) = x

Now, change the "x" for an "y". And change the "y" for an "x":

4(x-3) = y

The solution is the last one.

7 0

3 years ago

Which is the best first step and explanation for solving this system of equations? 3x+4y=12 3x=2y-8

Greeley [361]

Answer:

Since it is a simultaneous equation,

Using elimination method, Multiply equation 1 by the co efficient of x in equation 2 and multiply equation 2 by the co efficient of x in equation 1.

Step-by-step explanation:

For further explanation , Please contact me through the comment section.

6 0

3 years ago

Camilo estimates the weight of the dog . The veterinarian says that the dog weighs 84 pounds . The percent error in Camillo's es

blsea [12.9K]

Answer:

The estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

Step-by-step explanation:

Since, the maximum error is 10%.

Therefore, the maximum and minimum vales will be 10% more and 10% less than 84 pounds, respectively.

For Maximum Limit:

$Weight_{max}$ = (1.1)(84 pounds)

$Weight_{max}$ = 92.4 pounds

For Minimum Limit:

$Weight_{min}$ = (0.9)(84 pounds)

$Weight_{min}$ = 75.6 pounds

Hence, the estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

5 0

3 years ago

Which values are within the range of the piecewise-defined function? f(x) = StartLayout enlarged left-brace 1st Row 1st column 2

Otrada [13]

Answer:

the answer is below frum ed

Step-by-step explanation:

y= -6

Y= -4

Y= -3

Y= 0

8 0

3 years ago

Read 2 more answers