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zzz [600]
2 years ago
14

Consider the quadratic function: y = 2x^2 + 7x + 10

Mathematics
1 answer:
arsen [322]2 years ago
7 0

Answer:

y-intercept: 10

concavity: function opens up

min/max: min

Step-by-step explanation:

1.) The definition of a y-intercept is what the resulting value of a function is when x is equal to 0.

Therefore, if the function's equation is given, to find y-intercept simply plug in 0 for the x-values:

y = 2x^2+7x+10 = 2(0)^2 + 7(0)+10 = 2(0) + 0 + 10 = 0 + 10 = 10

y intercept ( f(0) )= 10

2.) In order to find concavity (whether a function opens up or down) of a quadratic function, you can simply find the sign associated with the x^2 value. Since 2x^2 is positive, the concavity is positive. This is basically possible, since it is identifying any reflections affecting the y-values / horizontal reflections.

3.) In order to find whether a quadratic function has a maximum or minimum, you can use the concavity of the function. The idea is that if the function opens downwards, the vertex would be at the very top, resulting in a maximum. If a function was open upwards, the vertex would be at the very bottom, meaning there is a minimum. Like the concavity, if the value associated with x^2 is positive, there is a minimum. If it is negative, there is a maximum. Since 2x^2 is positive, the function has a minimum.

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Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
Svet_ta [14]

Answer:

I, II and III

Step-by-step explanation:

Two sides of a triangle have length 6 and 8.

the maximum possible area occurs in the right angle .

To find maximum area we use the area of the triangle formula

area of triangle = \frac{6 \cdot 8}{2} = 24

So maximum possible area is 24 units^2

all the given possible values are less than and equal to 24

so all the three options are correct

I, II and III

4 0
3 years ago
What's the answer to this questions?
tia_tia [17]
I believe the answer is 2 :) .
6 0
2 years ago
No I need 54 inches of wood to build a picture frame. if the wood cost $2.50 a foot, how much will be pay?
tamaranim1 [39]

Answer:

135

Step-by-step explanation:

2 x 54 = 108 and .50 x 54 = 27 so 108 + 27 = 135

7 0
3 years ago
If you were present 120 days out of 124 days what percent were you present
emmainna [20.7K]

Answer:

~96.6

Step-by-step explanation:

120/124 is 30/31 or 60/62 or 96.6/99.82

5 0
3 years ago
(100 points) Give a step by step explanation on how you solved this problem
Lina20 [59]
Use substitution
Given both y values, you know that they have to be equal

3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3

Solution: x = -2, y = -3
4 0
3 years ago
Read 2 more answers
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