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3 years ago

While baking, Pedro used

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

11 cups of flour..... any other questions?

Step-by-step explanation:

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3. Judy took a taxi. The meter said $45. She tips the driver 15%. How much money does the the driver get in tips?

Anettt [7]

Answer:

6.75$

Step-by-step explanation:

because 15% of 45$ is 6.75$

7 0

3 years ago

Determine the inverse of the function f(x) = log3(4x + 5) − 6.

beks73 [17]

Answer:

f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4

Step-by-step explanation:

The function $f(x)=\log_3 (4x+5)-6$ can be thought of as a series of steps, one operation at a time:

Start with x

Multiply by 4

Add 5

Take the $\log_3$

Subtract 6

That gives you a function value $f(x)$ .

To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).

Start with x (a bit confusing, because this x represents the function value you get at the end of the above list).

Add 6 (add is the inverse operation of subtract)

Raise 3 to the ... $3^{\text{result of previous step}$

Subtract 5

Divide by 4

$f^{-1}(x) = \frac{3^{x+6}-5}{4}$

Let's test this out. Find f(1).

$f(1)=\log_3(4 \cdot 1 + 5)-6 =\log_3(9)-6=2-6=-4$

Now put -4 into the inverse function.

$f^{-1}(-4)=\frac{3^{-4+6}-5}{4}=\frac{3^2-5}{4}=\frac{9-5}{4}=\frac{4}{4} =1$

The final result is the number we started with when we put 1 into f(x).

Finding an inverse is reversing the action of the function f by doing inverse operations in "backwards" order.

A lot of authors have you do this by switching x and y in the formula for a function, then solving for x.

$y = \log_3(4x+5)-6\text{ switch x and y}\\\\x = \log_3(4y+5)-6\\\\x+6 = \log_3(4y+5)\\\\3^{x+6}=4y+5\\\\3^{x+6}-5=4y\\\\\frac{3^{x+6}-5}{4}=y$

4 0

2 years ago

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a

Pie

Ok so Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of

16x^2-40x+25square inches.
Let y(x) =16x^2-40x+25

If differentiating both sides w.r.t x we get

y'(x)=32x-40
And
to find critical point x ,Put y'(x)=0 then

32x-40=0

x=5/4

3 0

3 years ago

Read 2 more answers

Identify examples and non examples of the standard form of a linear expression

Nady [450]

Answer: see attachment

Step-by-step explanation:

The standard form of a linear equation is: Ax + By = C

where A, B, and C are INTEGERS.

The 1st, 3rd, & 4th equations are in the form Ax + By = C

The 2nd, 5th, & 6th equations are NOT in standard form.