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3 years ago

15

2/5, 9/10, 7/5, 19/10, 12/5

1 answer:

vovikov84 [41]3 years ago

8 0

Those sequence could be rewritten as :

4/10 , 9/10 , 14/10 , 19/10 , 24/10

From that sequence, we can see that the difference is 5/10 or a 1/2

hope this helps

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A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

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4 years ago

Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequal

NISA [10]

Your answer would be D.
Make this the brainliest answer if it helped!

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3 years ago

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3 years ago

Find the area of the composite figure to the nearest hundredth.

Lyrx [107]

Answer:

745.31

Step-by-step explanation:

1. 12.5^2 * 2 = 312.5

2. (3,14 * 156,25)/2 = 245.31

3. (30 * 12.5)/2 = 187.5

4. 187.5 + 245.31 + 312.5 = 745.31

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3 years ago

−10x+5=−6x−35 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Zarrin [17]

Answer:

x=10

Step-by-step explanation:

Add 6x to both sides.

−4x+5=−35

Subtract 5 from both sides.

−4x=−40

Divide both sides by -4.

$\frac{-4x}{-4}=\frac{-40}{-4}$

x=10

hope this helps

8 0

3 years ago

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