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zhannawk [14.2K]
3 years ago
8

Thank you in advance!

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Vertex: (-2,1)

Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.

End of behavior:

When x approaches positive infinity, f(x) will approach positive infinity.

When x approaches negative infinity, f(x) will approach positive infinity as well.

Why no solution:

The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.

y-intercept: (0,5)

describe shape of the graph:

The graph decreases when x<0 and increases when x>0.

x<0 is concave up but decreasing

x>0 is concave up but increasing

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Graph y = | x | + 5
Elanso [62]

Answer:

(0,5) (0,-5)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)
Artemon [7]

The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

So, we can make the equation y=2x+b. We need to find b, and put b in.

To find b, put in the numbers of y and x.

10=2(-1)+b

Solve for b:

10=-2+b\\b=10+2\\b=12

Now replace b in the original equation with 12 and that will be the answer:

The answer is y=2x+12.

5 0
3 years ago
Rachel's biscuits require 0.75 cup of milk for 1 batch. Use dimensional analysis to convert this amount into liters. Use the con
g100num [7]

Answer:

0.75 cup = 0.1763 liters

Step-by-step explanation:

From the question:

Using the conversion factors given in question

We are converting

0.75 cup to liters

Step 1

Convert cups to pint

1 cup = 0.5 pints

0.75 cup = x pints

x = 0.75 × 0.5 pints

x = 0.375 pints

Step 2

Convert pints to Quart

1 pints = 0.5 quart

0.375 pint = x quart

Cross Multiply

x quart = 0.375 × 0.5 quart

x quart = 0.1875 quart

Step 3

Convert from quart

1 quart = 0.94 liter

0.1875 quart = x liter

Cross Multiply

x liter = 0.1875 × 0.94 liter

x liter = 0.17625 liters

Approximately to 4 significant figures= 0.75 cup = 0.1763 liters

3 0
2 years ago
Read 2 more answers
Theresa is 14 years younger than her brother. Together, their total age in years is 35.
solniwko [45]
Let :
T = Theresa age
H = her brother
We know :
T = H - 14
T + H = 35
Substitute T
H -14 + H = 35
2H - 14 = 35
2H = 49
H = 49/2 = 24.5
Since we know H = 24.5 we then can substitute it to either equation.
T = H - 14
T = 24.5 - 14
T = 10.5
Theresa is 10.5 years old
Her brother is 24.5 years old

4 0
3 years ago
A hiker discovers a skull that contains 41% of its original amount of C-14. Find the age of the skull to the nearest year
snow_tiger [21]
We need the half-life of C-14 which is 5,730 years.
Now, we will need a half-life equation:
elapsed time = half-life * log (bgng amt / ending amt) / log 2
We'll say beginning amount = 100 and ending amount = 41
elapsed time = 5,730 * log (100/41) / log 2
elapsed time = 5,730 * log ( <span> <span> <span> 2.4390243902 </span> </span> </span> ) / 0.30102999566
elapsed time = 5,730 * 0.38721614327 / 0.30102999566
elapsed time = <span> <span> </span></span><span><span><span>5,730 * 1.2863041851 </span> </span> </span>
<span>elapsed time = 7,370.523 years

Source:
http://www.1728.org/halflife.htm </span>


3 0
3 years ago
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