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3 years ago

Find the difference 70.1 - 70.09

2 answers:

6 0

Because it is a decimal you will add an imaginary 0 above the equation changes to 70.10-70.09 move over the one since 0 cannot subtract 9 so 10-9=1 so .01 is the answer

Cerrena [4.2K]3 years ago

3 0

The answer is 0.01. Plug this into a calculator or your phone to find the answer easily.

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Answers to these! Need ASAP due tomorrow

Aleks04 [339]

Try Photomath Even scans the problem from your paper
#2

3 0

3 years ago

The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?

daser333 [38]

Answer:

$d=\frac{3}{2}=1.5$

Step-by-step explanation:

We have the function:

$y=a(x-2)(x-1)$

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

$d=\frac{1+2}{2}=3/2=1.5$

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

$y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a$

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

$x=-\frac{b}{2a}$

So, we will substitute -3a for b and a for a. This yields:

$x=-\frac{-3a}{2a}=\frac{3}{2}=1.5$

Confirming our answer.

4 0

3 years ago

Your schools talent show will feature 12 solo acts and ensemble 2 acts. The show will last 90 min. The 6 solo performers judged

kicyunya [14]

A. 12*x + 2*y = 90
6*x + 2*y = 60

To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.

B. Here we can multiply second equation with negative 1 and add it to first equation.
6x = 30
x = 5

now we replace x in any of 2 equations to get y.
30+2y = 60
2y = 30
y=15

Solo acts are 5 minutes long and ensemble acts are 15 minutes long

3 0

3 years ago

the spice recipe calls for 1/2 tsp of crushed red pepper for every 1 1/4 tsp of black pepper. you use 6 tsp of crushed red peppe

aksik [14]

15 tsp of black pepper was used. 2 half tsp = one whole tsp. 12 half tsp is equivalent to 6 tsp. Multiply 1 1/4 by 12 and you get 15.

4 0

3 years ago

From left to right the first 3 digits of a 4 digit number add up to 20 which digit could be in the ones place if the four digit

Anarel [89]

Answer:

Step-by-step explanation:

7 0

3 years ago