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3 years ago

In Exercise, describe how the graph of g is related to the graph of f. g(x)=-1+f(x)

Mathematics

1 answer:

Jet001 [13]3 years ago

7 0

Answer:

The graph of g is the graph of f shifted down 1 unit.

Step-by-step explanation:

Suppose you have a function y = f(x), you can do these following operations on the function:

Shift up a units: y = f(x) + a

Shift down a units: y = f(x) - a

Shift left a units: y = f(x + a)

Shift right a units: y = f(x - a)

In this problem, we have that:

g(x) = -1 + f(x) = f(x) - 1

So the graph of g is the graph of f shifted down 1 unit.

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Please help me ASAP <br><br><br><br> What is 7/16 x 1/2

Alja [10]

Answer: 7/32

Step-by-step explanation:

Multiply straight across the numerator and do the same for the denominator.

7x1=7 (numerator)

16x2=32 (denominator)

Answer is 7/32

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3 years ago

How do I find the vertex?

pav-90 [236]

Answer:

2. (5, -5)

3. (-3, 2)

4. (2, 4)

Step-by-step explanation:

Each vertex can be found using two simple steps.

1) The number being added or subtracted from x.

-The x coordinate of your vertex is the opposite of that number.

2) The number after the absolute value symbol.

-The y coordinate is that value.

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3 years ago

Can you please help me

nika2105 [10]

Answer:

90 degrees

Step-by-step explanation:

A triangle equals 180

180 - 60

= 120

120 - 30

= 90

Also you can easily get the answer without doing any math because you can see the angle is a right angle

Right angles equal 90

Hope this helps dude

6 0

3 years ago

Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder.

jeka57 [31]

Answer:

Step-by-step explanation:

Let n be unknown divisor and a be the same remainder, then

$63=q_1\cdot n+a\\ \\45=q_2\cdot n+a\\ \\69=q_3\cdot n+a$

Subtract a from all equalities:

$63-a=q_1\cdot n\\ \\45-a=q_2\cdot n\\ \\69-a=q_3\cdot n$

Subtract them:

$63-45=(q_1-q_2)n\Rightarrow 18=(q_1-q_2)n\\ \\69-63=(q_3-q_1)n\Rightarrow 6=(q_3-q_1)n\\ \\69-45=(q_3-q_2)n\Rightarrow 24=(q_3-q_2)n$

The greatest number is 6. When you divide numbers 63, 45, 69 by 6, you'll get remainders 3, 3, 3, respectively.

7 0

3 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers