All categories

3 years ago

Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST

Mathematics

1 answer:

scoray [572]3 years ago

8 0

f(x) =5-3x

g(x)=x²-1

f(g(x)) = f(x²-1)

replacing x by x²-1 in the function f(x) , we get

f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²

f(g(x)) =8-3x²

now finding g(f(x))

g(5-3x)

replacing x by 5-3x in the function g(x)

g(5-3x) = (5-3x)²-1

g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24

g(f(x))= 9x²-30x +24

f(g(x)) =8-3x²

in option third the f(g(x)) is -3x³+8 which is incorrect

You might be interested in

If there are four quarters in a dollar, which expression correctly shows how you might figure out how many quarters are in $9.25

xxMikexx [17]

Answer:

Step-by-step explanation:

4(9) + 1 = 37

7 0

3 years ago

Read 2 more answers

Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)

arlik [135]

Answer:

y = $\frac{4}{3}$ x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{3}{4}$ x ← is in slope- intercept form

with slope m = - $\frac{3}{4}$ , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{3}{4} }$ = $\frac{4}{3}$ , then

y = $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = $\frac{4}{3}$ x - 12 ← equation of perpendicular line

4 0

2 years ago

Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat

MatroZZZ [7]

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

5 0

2 years ago

Read 2 more answers

Which is the graph of y = 3/ x + 1 - 2?

garri49 [273]

Answer:

The second graph near the bottom with a Y-intercept of -1

7 0

3 years ago

Read 2 more answers

Could someone please help with this?

saveliy_v [14]

9514 1404 393

Answer:

5. 88.0°

6. 13.0°

7. 52.4°

8. 117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

<em>Additional comment</em>

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

5 0

2 years ago