What is the value of -3mn + 4m - 3 when m = 2 and n = -4?

Choose the correct solution and graph for the inequality.

Y_Kistochka [10]

The answer to question one would be "D" y<-3

For question two the answer would be "C" x<5

Hope that helps!

6 0

3 years ago

Which ordered pair is a solution of the equation y = x - 2?

Liula [17]

Answer:

One order pair is

( 2,0)

Step-by-step explanation:

What ordered pairs are the options?

Pick a value for

x

and solve for

y

. Or find the intercepts.

If

x

=

2

, then:

y

=

2

−

2

⇒

y

=

0

So we have

(

2

,

0

)

If

x

=

0

, then:

y

=

0

−

2

⇒

y

=

−

2

Here we have

(

0

,

−

2

)

You can simply use

0

for both

x

and

y

(intercept) to get the same answer.

8 0

3 years ago

The function h(x) is a transformation of the square root parent function,

kondaur [170]

Answer:

A. $h(x)=\sqrt{x-3}$

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of $\sqrt{x}$ is translated to the left when $h$ is positive in the transformation $\sqrt{x+h}$ .

If $h$ is negative, the graph translates towards the left with the distance equal to the value of $h$ .

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that $h$ is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

$h(x)=\sqrt{x-3}$

8 0

2 years ago

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

3 years ago

Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0

2 years ago