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3 years ago

Simplify the expression: -2(2c-4)-9c - 12

Mathematics

1 answer:

Fantom [35]3 years ago

8 0

Answer:

-13c-4

Step-by-step explanation:

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2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?

mezya [45]

Answer:

the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

Step-by-step explanation:

We need to find inverse of the quadratic function $f(x) = x^2 - 3$

Let

$y=x^2-3$

Replace x and y

$x=y^2-3$

Now, we will solve for y

Adding 3 on both sides

$x+3=y^2-3+3$

$x+3=y^2$

Taking square root on both sides

$\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}$

Now replace y with $f^{-1}(x)$

$f^{-1}(x)=\pm \sqrt{x+3}$

So, the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

3 0

2 years ago

Two automobiles leave the same city simultaneously and both head towards another city. The speed of one is 10 km/hour greater th

Veronika [31]

Answer:

5091 Km/hr and 505 km/hr

Step-by-step explanation:

Speed = Distance / Time

Let the speed of first automobile be 'x' and that of the second be 'y'

Since speed of one is 10 times greater than the other. therefore;

⇒ x = 10 y

also let time for faster automobile be 'T' and time for slower auto mobile be 't'

Since first arrive one hour earlier than second, therefore;

⇒ t = T + 1

⇒ For first automobile; $x X T = 560$ ; substituting for 'x' and 'T'. Therefore;

⇒ $10y (t+1) = 560$

⇒ For Second automobile; $y X t = 560$

⇒ $y = \frac{560}{t}$

⇒ $10(\frac{560}{t})(t + 1) = 560$

⇒ 5600 + $\frac{5600}{t}$ = 560

⇒ 5600 - 560 = - $\frac{5600}{t}$

⇒ t = 1.11 hr

also ; T = 1.11 - 1 = 0.11 hr

Speed of 1st auto = 560/0.11 = 5091 km /hr

Speed of 2nd auto = 560/1.11 = 505 km/hr

8 0

2 years ago

1. What is the value of x? Do not convert to decimal. Keep your answer in exact (radical) form. Show all of your work. This is P

lesya [120]

Answer:

The value of x is $\sqrt{113}$ .

Step-by-step explanation:

It is given that hypotenuse is $\sqrt{177}$ . So, the legs would be x and 8.

Let's use Pythagoras theorem,

$a^{2} +b^{2} =c^{2}$

Plug in the numbers to solve for x.

$x^{2} +8^{2} =\sqrt{177} ^{2}$

Simplify it

$x^{2} +64 =177$

Subtract both sides 64.

$x^{2} =113$

Take square root on both sides

x= $\sqrt{113}$

We can not simplify the radical.

So, let's keep this as answer.

6 0

2 years ago

The map uses a scale of 1 inch miles. You are making a map with a scale of . How far apart are cities A and B on your map?

aivan3 [116]

Answer:

You need to show a map and put the entire directions.

Step-by-step explanation:

4 0

2 years ago

I need help solving this

borishaifa [10]

Step-by-step explanation:

f(x) = 4x²

g(x) = x + 1

= (fog)(x)

= f( g(x) g

= 4x²

= 4(x + 1)²

Option → C

4 0

2 years ago