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Norma-Jean [14]
3 years ago
9

Given ​ f(x)=x2+14x+40 ​. Enter the quadratic function in vertex form in the box.

Mathematics
1 answer:
sammy [17]3 years ago
8 0
Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40

Next, complete the square:

</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
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Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
mixas84 [53]

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

6 0
3 years ago
Simplify the expression<br>(-n³+8)+(-n³+5)<br>​
Novosadov [1.4K]
When simplified the answer is -2n^3+13
8 0
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kipiarov [429]

Answer:

243 in^3

Step-by-step explanation:

Cut into 2 rectangles

First one would be ..

12 x 8 = 96

second one would be

7 x 21 = 147

Add them together

147 + 96 = 243

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3 years ago
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Nesterboy [21]

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6 0
2 years ago
sebuah topi berbentuk kerucut dengan panjang diameter 18 cm dan tinggi topi tersebut 20cm berapakah volume nya​
madreJ [45]

Answer:

The area of the cone is "1,695.6 cm³".

Step-by-step explanation:

The given values are:

Diameter of cone,

d = 18 cm

then,

Radius,

r = \frac{d}{2}

 = \frac{18}{2}

 = 9 \ cm

Height,

h = 20 cm

As we know,

⇒  Area of a cone = \frac{1}{3} \pi r^2 h

On substituting the given values in the above formula, we get

⇒                            = \frac{1}{3}\times 3.14\times (9)^2\times 20

⇒                            = \frac{1}{3}\times 3.14\times 81\times 20

⇒                            = 3.14\times 27\times 20

⇒                            = 1,695.6 \ cm^3

8 0
3 years ago
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