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wel
3 years ago
7

if the input value is negative, is the output value of f(z)=-4z+12 always positive or always negative?

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
If the input value is negative, the output value is always positive.  We know this because the negative sign before the 4z will always reverse the negativity of the number that is plugged in.
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Galina-37 [17]

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

4 0
2 years ago
Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ
IRINA_888 [86]

Answer:

The measure of the arc PJ is 75\°

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

so

m

we have

m

substitute

m

m

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

so

m

substitute the values

95\°=\frac{1}{2}(125\°+arc\ KJ)

190\°=(125\°+arc\ KJ)

arc\ KJ=190\°-125\°=65\°

step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

so

m

substitute the values

70\°=\frac{1}{2}(65\°+arc\ PJ)

140\°=(65\°+arc\ PJ)

arc\ PJ=140\°-65\°=75\°

5 0
3 years ago
The compound inequality 8.00 ≤ x &lt; 9.50 represents all values, x, for which college students are paid hourly as teacher assis
Orlov [11]

Answer: x≥ 8.00 and x < 9.50 is the correct option.

Step-by-step explanation:

Since, given expression 8.00 ≤ x < 9.50

Where x is the value for which college students are paid hourly as teacher assistants.

so, x is greater than or equal to 8.00

Therefore, x\geq 8.00  

And, x is less than 9.50

Therefore,  x < 9.50

On combining both expression we get,  x\geq 8.00 and x < 9.50.

Thus, Third Option is correct.


3 0
3 years ago
Read 2 more answers
Suppose m varies directly as the square of n.<br> If m = 187.2 when n = 12, what is m when n = 20?
Alona [7]
Answer below as attachment. m=520

3 0
3 years ago
60 is 5 times as great as k
jeka57 [31]
60=5k is the answer for your question
7 0
3 years ago
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