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3 years ago

What is the vertex of the function f(x) =1/2 x2 + 3x +3/2 ?

Mathematics

1 answer:

dimaraw [331]3 years ago

7 0

The vertex for f(x) = 1/2 x2 + 3x +3/2 is:

(-3,-3)

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What is the answer???

Natali [406]

Answer:

Step-by-step explanation:

3 0

3 years ago

A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty

Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

$1 - \frac{1}{32} = \frac{31}{32}$

The maximum allowable length :

Actual length + allowable variation

$1 + \frac{1}{32} = 1 \frac{1}{32}$

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

7 0

3 years ago

If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi

natali 33 [55]

Answer:

4.609 meters

Step-by-step explanation:

The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths

A^2 + B^2 = C^2

3^2 + B^2 = 5.5^2

9 + B^2 = 30.25

30.25 - 9= B^2

21.25= B^2

4.609=B

4 0

3 years ago

Drew is making a dart board.

Nezavi [6.7K]

Answer:

138.16 cm

Step-by-step explanation:

Recall that the formula for calculating the circumference is pi times diameter.

Circumference = 44 x 3.14 cm = 138.16 cm.

5 0

3 years ago

PLEASE HELP! Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.

svlad2 [7]

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8 -8y

-3y+11=-13

-11 -11

3y = -24 = 8 y=8

3y 3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

8 0

3 years ago