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Rufina [12.5K]
3 years ago
6

Graph f(x)=-2x^2-12x-21

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Step-by-step explanation:

First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.

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Find the equation is standard form, of the line passing through he points (2,-3) and (4,2)
Simora [160]

The point slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(2,\ -3)\to x_1=2,\ y_1=-3\\(4,\ 2)\to x_2=4,\ y_2=2

Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}=2.5\\\\y-(-3)=2.5(x-2)\\\\y+3=2.5x-5\ \ \ \ |+5\\\\y+8=2.5x\ \ \ \ \ \ |-y\\\\2.5x-y=8\ \ \ \ \ |\cdot2\\\\\boxed{5x-2y=16}

5 0
3 years ago
Which number is divisible by both 2 and 4?<br> A. 1,022<br> B. 1,974<br> C. 2,836<br> D. 2,918
Kobotan [32]
The correct answer is C. 2,836

when 2836 is divided by 2 it equals 1418. when it is divided by 4 it equals 709. 709 is a whole number, therefore it is correct, and can be divided by both 2 and 4.
3 0
2 years ago
Read 2 more answers
Please answer this in two minutes
Sunny_sXe [5.5K]

Answer:

D. 1800°

Step-by-step explanation:

The given polygon has 12 sides.

The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.

Where n is the number of sides of the polygon.

Thus, the sum of the interior angles of the 12 sided polygon given above is:

(12 - 2) × 180

= 10 × 180 = 1800°

<em>Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°</em>

4 0
3 years ago
Please please help me please
MAVERICK [17]

Answer:

1st option is the answer

Step-by-step explanation:

blue line:  slope is 1 and y-intercept is 1; therefore equation is y= x + 1

red line:  slope is -1 and y-intercept is -3; therefore equation is y= -x - 3

7 0
3 years ago
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what
eimsori [14]
Extend means to increase, add length to it, ADD.
       2.826
+    1.46
--------------
       4.286

5 0
3 years ago
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