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2 years ago

What is the intersection point of function f and g

Mathematics

1 answer:

Phoenix [80]2 years ago

5 0

Answer:3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

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Please EXPLAIN how to get this answer so I can do it with other problems. A straight answer would be great, but I have to do abo

OLEGan [10]

Answer:

PQ = 3.58, and RQ = 10.4

Step-by-step explanation:

We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.

Hypotenuse = 11,

Opposite side is PQ

Adjacent side is RQ

x = 19

Sin x = (opposite side)/(hypotenuse)

Cos x = (adjacent side)/(hypotenuse)

For PQ, this is the side opposite to the angle, so use sin,

Sin 19 = x/11

11(Sin 19) = x

3.58 = x (rounded to the nearest hundredth)

For RQ, this is the side adjacent to the angle, so use cos,

Cos 19 = x/11

11(Cos 19) = x

10.4 = x (rounded to the nearest hundredth)

6 0

3 years ago

Please answer this correctly

jolli1 [7]

Answer:

6 times

Step-by-step explanation:

1/9 chance you get the orange marble. If you pick 54 times, you can expect to get the orange marble 6 times.

5 0

3 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

3 0

3 years ago

What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Simora [160]

Answer:

The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

Step 1 : Add all the values Up:

 $12+10+10+8+6+7+7+12=72$

Step 2 : Divide them by the number of items or numbers:

$\frac{12+10+10+8+6+7+7+12}{8}=9$

Step 3: Find the absolute deviations:

$12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\$

Step 4: Add all the absolute deviations:

$3+1+1+1+3+2+2+3=16$

Step 5: Find the mean:

$\frac{3+1+1+1+3+2+2+3}{8}=2$

7 0

3 years ago

Dana has ⅘ cup of ice cream. How many ⅛ cup servings are in ⅘ cup of ice cream?

mario62 [17]

Answer:

A 6.4

Step-by-step explanation:

(4/5)/(1/8) this is the answer

8 0

3 years ago

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