All categories

3 years ago

If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =

Mathematics

1 answer:

ollegr [7]3 years ago

4 0

Answer:

${ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14$

You might be interested in

If a +2b+6c=-9 what is 12c+2a+4b

uranmaximum [27]

A + 2b + 6c = -9
Multiply the equation by 2,
2a + 4b + 12c = -18

In short, Your Answer would be -18

Hope this helps!

5 0

3 years ago

Is (-3, 2) a solution of -4r - 10y< - 9?

Blizzard [7]

Answer:

<em>The point (-3,2) is not a solution of the inequality</em>

Step-by-step explanation:

<u>Inequality</u>

Inequalities relate the left and the right side of an expression with an operator other than the equal sign.

The inequality given in the question is

$-4r - 10y< - 9$

There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1

$-4(1) - 10(1)< - 9$

$-14< - 9$

This relation is true since -14 is less than -9.

Also, there are many combinations that make the given inequality be false.

For example, for r=2 and y=-1

$-4(2) - 10(-1)< - 9$

$-8+10$

$2$

This inequality is false.

Let's test the point (-3,2)

$-4(-3) - 10(2)< - 9$

$12-10$

$2$

Which is false, thus the point (-3,2) is not a solution of the inequality

3 0

3 years ago

A nature museum has 2008 specimens of early birds, some with 222 wings and some with 444 wings. The specimens have a total of 40

ludmilkaskok [199]

Let's assume

number of birds with 2 wings is x

number of birds with 4 wings is y

A nature museum has 2008 specimens of early birds

so,

$x+y=2008$

Total of wings of 2 wings bird =2x

Total of wings of 4 wings bird =4y

The specimens have a total of 4384 wings

so, we get

$2x+4y=4384$

we can divide both sides by 2

$x+2y=2192$

so, we get system of equations as

$x+y=2008$

$x+2y=2192$

we can solve for x and y

We can subtract both equations

$2008-y+2y=2192$

$y=184$

$x=2008-184$

$x=1824$

$y=184,\:x=1824$

so,

number of birds with 2 wings is 1824

number of birds with 4 wings is 184.............Answer

5 0

3 years ago

Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

1 year ago

Find the solution(s) to the equation below. Select all that apply. x2−6=5x

BaLLatris [955]

Answer:

x2-6=5x

10x=5x

50x-6=44x

5 0

2 years ago

If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =​

If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =