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3 years ago

The graph of the function f(x) = (x + 6)(x + 2) is shown.

Mathematics

2 answers:

ioda3 years ago

3 0

Answer:

The axis of symmetry is x = -4

The function is negative over (-6, -2)

leva [86]3 years ago

3 0

Answer:The domain is all real

numbers the axis of symmetry is x=-4

the function is negative over (-6,-2)

Step-by-step explanation:

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Solve 5n+7=7(n+l)-2n <br>

notsponge [240]

Answer: The answer is 1 =n and my work is in the bottom and hope this help :)

Step-by-step explanation:

5n+7=7(n+l)-2n distributive property

5n+7=7n+7-2n Combines Like Term

5n+7= 12n subtract 5n to both side

-5n -5n

7 = 7n divide 7n to both side

7 7

1=n

7 0

3 years ago

Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa

Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0

3 years ago

Consider the system of linear equations.

Nadusha1986 [10]

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

$2y=x +10$

slope = 0.5

y intercept(put x =0) =5

$3y =3x +15$

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.

4 0

3 years ago

A plate of vegetables and white rice. jace is a vegetarian, eating at a local restaurant. he chooses a grilled tofu salad that i

allsm [11]

Answer is to ask for brown rice instead of white rice.

Reason is brown rice is less refined and has more fiber to help you stay full and it has a lower GI index.

❌ he can ask for the tomatoes to be left out (tomatoes are healthy and good for you).
✅ he can ask for brown rice instead of white rice.
❌ he can ask for his tofu to be fried instead of grilled (fried is not healthier)
❌he can ask for fewer sprouts, peas, and cucumbers. (These are good for you)

8 0

2 years ago

Please solve this quadratic equation:<br>9^x-1 = 27^X-1

nadezda [96]

Answer:

x=1

Step-by-step explanation:

if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.

5 0

3 years ago