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Ugo [173]
3 years ago
8

What is the vertex of the graph of the function below?

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

D. (4, -4)

Step-by-step explanation:

Convert to vertex form by completing the square.

For a polynomial y = x² + bx + c, first add and subtract (b/2)² to the polynomial.  Then factor.

Here, b = -8.  So (b/2)² = (-8/2)² = 16.

y = x² − 8x + 12

y = x²− 8x + 16 − 16 + 12

y = (x − 4)² − 16 + 12

y = (x − 4)² − 4

The vertex is (4, -4).

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A rectangular prism with a width of 7.4 cm, a length of 8 cm, and a height of 3.2 cm​
Mashcka [7]

Answer: 82.88

Step-by-step explanation:

BxHxW

7.4 x 3.2 = xxx

7.4 x 8 = xxx

So, what you'll do is combine both of the sums, and you will get 82.88

3 0
3 years ago
Nola purchased 2.5 pounds of cheese for 10. $50 her mother purchased 3 pounds of the same cheese for $12.60 the cost of the chee
Delvig [45]
The answer is 5.2 because if you do 12.60 - 10 it’s 2.6 so you add another 2.6 because it’s 2.6 for a half a pound so if you add the two half of pounds it will add up to one pound so it will be 2.6 + 2.6= 5.2 so basically 5.20$
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3 years ago
A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
A rectangular prism is a
OleMash [197]

Answer: Three dimensional

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    A rectangular prism is a three-dimensional shape.

[] A one-dimensional shape is a line

[] A two-dimensional shape is a rectangle, circle, etc

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