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Nadya [2.5K]
3 years ago
8

James creates the table shown to represent the function f(x)=x^2+8x+12.

Mathematics
1 answer:
Rasek [7]3 years ago
6 0
The table tells you that f(x)=0 at x=-6 and -2
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Find the value of x and y. Then find the measure of each labeled angle.<br> (In picture)
Alik [6]

Answer:

In explanation

Step-by-step explanation:

For x, we can work with both variables to get x:

3x-5=x+55

2x=60

x=30

Now, we just substitute:

3(30)-5=85

30+55=85

4 0
2 years ago
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
Lemur [1.5K]

Answer:

Greater than the original = 2, 4

Less than the original = 5

Same as the original = 1, 3

Step-by-step explanation:

Let the original value be x.

1. A $30 increase followed by a $30 decrease.

New value =x+30-30=x, it is same as original value.

2. A 20% decrease followed by a 40% increase.

Afer 20% decrease.

New value =x-\dfrac{20}{100}x=x-0.2x=0.8x

Afer 40% increase.

New value =0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x, it is greater than original value.

Similarly check the other values.

3. A 100% increase followed by a 50% decrease.

New value =x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x, it is same as original value.

4. A 75% increase followed by a 33% decrease

New value =x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x, it is greater than the original value.

5. 55% decrease followed by a 25% increase

New value =x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x, it is less than the original value.

Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .

6 0
3 years ago
Record 3 and 2/25 as a decimal
daser333 [38]

Answer:

3 2/25 = 3.08

Step-by-step explanation:

7 0
3 years ago
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
Maurinko [17]

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

7 0
3 years ago
Model and solve linear equations<br><br>Solve this.<br>50 + 0.25w = 25 + 0.50w
gavmur [86]
50 = 25 + 0.50w - 0.25w
50 = 25 + 0.25w
50 - 25 = 0.25w
25 = 0.25w
25/0.25 = w
w = 100.
8 0
3 years ago
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