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zzz [600]
3 years ago
15

2xsquare+12x+19 Find the minimum value of f (x)

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0
Converting to vertex form is one way of doing this
2x^2 + 12x + 19 
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2  - 9] + 19
=  2(x + 3)^2  - 18 + 19
= 2(x + 3)^2 + 1

the minimum value is 1
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2 (-n -3) -7 (5 + 2n)
leonid [27]

Answer: -16n-41

Step-by-step explanation:

first, distribute 2 through the parentheses:

<u>2(-n-3)</u>-7(5+2n) = <u>-2n-6</u>-7(5+2n)

second, distribute 7 through the parenthesis:

-2n-6<u>-7(5+2n) </u>= -2n-6<u>-35-14n</u>

Collect like terms:

<u>-2n</u>-6-35 and <u>-16n</u>-6-35

Calculate the difference:

-2n<u>-6-35</u>-14n = -16n-<u>41</u>

SOLUTION:

<u>-16n-41</u>

7 0
3 years ago
Y’all help meeee imma fail fr!!.!.
sweet [91]

Answer:

Altitude of cylinder = 10 cm

Step-by-step explanation:

Given:

lateral surface area of cylinder = 90 cm²

Circumference of base = 9 cm

Find:

Altitude of cylinder

Computation:

Circumference of base = Circumference of cylinder

So,

2πr = 9

lateral surface area of cylinder = 2πrh

2πrh = 90

We know that; 2πr = 9

So,

9(h) = 90

h = 90 / 9

Altitude of cylinder = 10 cm

7 0
3 years ago
What is 2 19 over 20 terminating or repeating
astra-53 [7]

Answer:

terminating

Step-by-step explanation:

20 is a factor of a 100

20 × 5 = 100

therefore 19 × 5= 95

So in decimal form it's 2.95

6 0
3 years ago
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di
Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is <em>x</em>.

Keep on mind that:

tan\alpha=\frac{opposite}{adjacent}

Therefore:

<em>For the triangle ABD</em>:

tan(36\°)=\frac{x}{DC+11}    [EQUATION 1]

<em>For the triangle ACD:</em>

tan(46\°)=\frac{x}{DC}    [EQUATION 2]

Solve from DC from [EQUATION 2]:

DC=\frac{x}{tan(46\°)}

Substitute into [EQUATION 1] and solve for x:

tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x

x=26.81ft≈26.8ft

7 0
3 years ago
Which card on the bottom is the statement and which 3 cards are the reasons?
kenny6666 [7]

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

8 0
3 years ago
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