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bogdanovich [222]
3 years ago
8

Please help!! All info is in image below! Will give brainliest to whose correct!

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

i didnt see the image, once you get it up i will help tho!! :)

Step-by-step explanation:

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GCSE maths question about the turning point of the graph.<br> please help!
Neporo4naja [7]

Answer:

The coordinates of the turning point are (2, -9)

Step-by-step explanation:

The coordinates of the turning points of the quadratic equation

y = ax² + bx + c, are (h, k), where

  • h = \frac{-b}{2a}
  • k is the value of y at x = h

∵ The equation of the curve is y = x² + bx + c

→ By comparing it with the form above

∴ a = 1

∵ The point (0, -5) lies on the curve

→ Substitute x by 0 and y by -5 in the equation to find the value f c

∵ -5 = (0)² + b(0) + c

∴ -5 = 0 + 0 + c

∴ -5 = c

→ Substitute it in the equatin

∴ y = x² + bx - 5

∵ The point (5, 0) lies on the curve

→ Substitute x by 5 and y by 0 in the equation to find the value f c

∵ 0 = (5)² + b(5) - 5

∴ 0 = 25 + 5b - 5

→ Add the like terms in the right side

∴ 0 = 20 + 5b

→ Subtract 5b from bth sides

∵ 0 - 5b = 20 + 5b - 5b

∴ -5b = 20

→ Divide both sides by -5 to find b

∴ b = -4

→ Substitute it in the equatin

∴ y = x² - 4x - 5

∵ a = 1 and b = -4

→ Substitute them in the rule of h above t find it

∵ h = \frac{-(-4)}{2(1)} = \frac{4}{2}

∴ h = 2

→ To find k, substitute x by 2 and y by k

∵ k = (2)² - 4(2) - 5

∴ k = 4 - 8 - 5

∴ k = -9

∴ The cordinates of the turning point are (2, -9)

6 0
2 years ago
the greatest volcanic eruption in recorded history took place in 1815 on the indonesian island of sumbawa, when the volcano tamb
algol [13]

Answer:

166\frac{2}{3}\ m

Step-by-step explanation:

Let

x ----> the average depth of the resulting layers of ash and rock

we know that

To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.

so

\frac{100\ km^3}{600\ km^2}=\frac{1}{6}\ km

Convert to meters

Remember that

1\ km=1,000\ m

so

\frac{1}{6}\ km=\frac{1}{6}(1,000)=\frac{1,000}{6}=\frac{500}{3}\ m

Convert to mixed number

\frac{500}{3}\ m=\frac{498}{3}+\frac{2}{3}=166\frac{2}{3}\ m

7 0
3 years ago
11. Which point is not on the graph of 2x + 3y - Z - 12 = 0?
patriot [66]
Show the graph? i can’t really tell what the answer is without the graph being there.
3 0
2 years ago
George wrote an integer. The opposite of George's integer is - 53. Which of these statements about George's integer must be true
Readme [11.4K]

Answer:

D I and IV

Step-by-step explanation:

The opposite of an integer "x" is "-x".

I. The integer is 53.  →  Since the opposite of George's integer is -53, the integer is -(-53) = 53

II. The integer has an absolute value of - 53.  →  The absolute value of 53 is 53.

III. The integer is - 53.  →  It was 53, found in I.

IV. The integer has an absolute value of 53.  →  It has an absolute value of 53, found in II.

8 0
3 years ago
A sauce recipe uses 4 cans of tomatoes in every 2/12 quarts. How many cans of tomatoes are used in each quart of the sauce?
My name is Ann [436]
4/12 quarts 
hope this helps
7 0
3 years ago
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