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navik [9.2K]
3 years ago
14

The piecewise function h(x) is shown on the graph.

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

b

Step-by-step explanation:

-1

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2
Svet_ta [14]

The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.

<h3>How to convert?</h3>

From the information, we are told to convert 2 litres into ml. This will be:

= 1000 × 2

= 2000ml

The number of eggs that will be bought to make 500 muffins will be:

= 500 × 2

= 1000 eggs.

Learn more about conversion on:

brainly.com/question/97386

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4 0
2 years ago
How much sugar syrup would you get by making 30% sugar syrup using 75g sugar?
Elena-2011 [213]

Answer:

250gr

Step-by-step explanation:

The amount of sugar syrup that I would get by making 30% sugar syrup using 75g sugar is going to be given by the weight of the sugar added to the weight of water. Therefore, we have the following equation:

\frac{75}{75+x} = 0.30

Now, we need to find x:

75 + x = 250

x = 250 - 75

x = 175

The amount of sugar syrp is 175gr + 75 grm = 250gr.

7 0
3 years ago
What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is c
melomori [17]

Answer:

The answer is 146

Step-by-step explanation:

5 0
3 years ago
Someone help me ASAP 10 points each
tia_tia [17]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
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