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3 years ago

Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).

Mathematics

1 answer:

Rufina [12.5K]3 years ago

7 0

I don’t know if this is what you’re looking for but here

G(-3x+7)=-18x2+84x-106

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Trisha bought a pair of shoes for $40 and a blouse for $35. Trisha's purchases are subject to a sales tax rate of 8.75%. Includi

Margarita [4]

$40+$35=$75
75/100*8.75=6.5625
6.5625+75=81.5625
approximately equal to $81.56

5 0

4 years ago

Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &

Bess [88]

Answer:

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as $\sin (t) \ne 0$ ,

$\displaystyle \csc t = \frac{1}{\sin t}$ .

Therefore, $\csc(t) > 0$ is equivalent to $\sin (t) > 0$ .

Consider a unit circle centered at the origin. If the terminal side of angle $t$ intersects the unit circle at point $(x,\, y)$ , then

$\cos (t) = x$ , and
$\sin(t) = y$ .

For angle $t$ ,

$x = \cos(t) < 0$ , meaning that the intersection is to the left of the $y$ -axis.
$y = \sin(t) > 0$ , meaning that the intersection is above the $x$ -axis.

In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.

6 0

3 years ago

You want path 1 to be a continuous distance of 1.5 km from the center of the habitat 1) path one represents what mathematical ob

oksian1 [2.3K]

If we consider the center of the habitat to be a point - then a circle with a radius of 1.5 km <u /><u />would satisfy the problem.

The path would go around the point (habitiat) and would always be 1.5 km from that point.

3 0

3 years ago

Read 2 more answers

I tried this few times can i get some help

mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
10y minus 8y gives us 2y.
22 minus 14 gives us 8

3x+10y=22

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

$\frac{2y}{2} = \frac{8}{2}$

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

$\frac{3x}{3} = \frac{ - 18}{3}$

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0

3 years ago

What is the solution to the system of equations? Two-thirds x minus one-third y = negative 2 Negative 2 x + y = negative 6 There

Darina [25.2K]

Answer:

there no solution

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers