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3 years ago

Which of the following graphs represents the function f(x) = x2 + x − 6?

Mathematics

2 answers:

densk [106]3 years ago

8 0

Answer:

Last graph (the parabola)

Step-by-step explanation:

Find the x-intercept and it will tell you which graph is correct. Also the fact that its x^2 should tell you its a parabola and there is only one in the answers.

f(x)=x^2+x-6

=(x+3)(x-2)

x=-3,2

x-intercepts: (-3,0), (2,0)

Darya [45]3 years ago

3 0

The answer is: D

Step-by-step explanation:

Direction: Opens Up

Vertex: ( −1/2, −25/4)

Focus: (−1/2, −6)

Axis of Symmetry: x = -12

Directrix: y = -132

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490 as a product of its prime factors

Katena32 [7]

Answer:

2×5×7²

Step-by-step explanation:

You will start by using the factor tree.

490

2 245

5 49

7 7

8 0

2 years ago

According to Charles's law, if the pressure is held constant, the volume of a gas varies directly with the temperature measure

Ksju [112]

Answer:

V₂ = 252 cm³

Step-by-step explanation:

Charles's law = If the pressure is held constant, the volume of a gas varies directly with the temperature measured on the Kelvin scale.

Mathematically, $V=kT$

$\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}$

We have, V₁ = 192 cm³, T₁ = 112 K, T₂ = 147 cm³, V₂ = ?

Using the above relation of Charles's law :

$V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{192\times 147}{112}\\\\V_2=252\ cm^3$

So, the new temperature is 252 cm³.

7 0

2 years ago

Each card in a set of cards has a different number from 1 to 12 written

sergij07 [2.7K]

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

4 0

2 years ago

Correct answer gets 5 stars and brainliest

Katena32 [7]

Answer:

Step-by-step explanation:

C(3 , -2) & D (7, -8)

Distance = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$