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horsena [70]
3 years ago
14

Which graph represents the linear function y=1/4x-3

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

The graph with a y-intersect of (0, -3) and x-intercept of (12, 0)

Step-by-step explanation:

So the graph goes 1 unit up every 4 units to the right

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Let ​ f(x)=x2−8x+19<br><br> What is the minimum value of the function?​
nataly862011 [7]
By completing the square: x²-8x+19 = (x-4)²-16+19 = (x-4)²+3 so minimum point = (4,3)

By calculus: f'(x) = 2x-8. (minimum point occurs when f'(x)=0 therefore)
2x-8 = 0 means x=4 and the corresponding y value is 3.

The minimum value of this function (y) is 3 and this occurs when x = 4.
7 0
3 years ago
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Please help me on this problem !
Rashid [163]

Answer:

x = 5 , y = 5\sqrt{3}

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2} , then

sin30°= \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

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y = 5\sqrt{3}

8 0
2 years ago
What is the solution for this system of equations? <br>y= -1/4x + 6<br>y= x+1​
snow_lady [41]

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

  -1/4x +6 = x +1

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  4 = x . . . . . . . . . . multiply by 4/5

  y = x +1 = 4 +1

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The solution is (x, y) = (4, 5).

3 0
3 years ago
Write the polynomial in standard form. Then identify the polynomial by the number of terms -5x^2-2x^3-4x
iVinArrow [24]
Hello :
-5x^2-2x^3-4x =-2x^3-5x^2-4x.....(<span> standard form.)
</span><span>the number of terms are : -2 , -5 , -4 ,0</span>
7 0
3 years ago
All possible roots of x^3+2x^2-16x-32
nekit [7.7K]

Answer:

See below.

Step-by-step explanation:

By the rational roots theorem all possible roots are:

+/-1. +/- 2, +/-4 .+/-8, +/-16 and +/-32.

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