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zimovet [89]
4 years ago
12

Solve the following equation by the quadratic formula. 4x2 - 2x = 7​

Mathematics
1 answer:
mamaluj [8]4 years ago
4 0

Answer:

x=\frac{\pm\sqrt{29} +1}{4}

Step-by-step explanation:

Quadratic Formula: x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

Step 1: Write quadratic equation

4x² - 2x = 7

Step 2: Solve for <em>x</em>

  1. Move everything to one side: 4x² - 2x - 7 = 0
  2. Define variables: a = 4, b = -2, c = -7
  3. Plug into quadratic formula: x=\frac{-(-2) \pm\sqrt{(-2)^2-4(4)(-7)} }{2(4)}
  4. Evaluate for <em>x</em>: x=\frac{\pm\sqrt{29} +1}{4}
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Convert 54.6% to a fraction in simplest form and a decimal.
Bumek [7]

Answer:

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Step-by-step explanation:

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3 years ago
Estimate and classify the critical points for the graph of each function.
Neko [114]

Answer: B

(0.5, 7), maximum; (2, 1), point of inflection; (3.5, –5), minimum

Critical points of a function are those points at which a line drawn tangent to the curve is horizontal or vertical. On the graph, maximum and minimum points look like peaks and valleys, respectively. Points of inflection that are critical points are places where the curve flattens out and changes from being bent upward to being bent downward or vice versa.

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6 0
4 years ago
Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
Pavlova-9 [17]

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

7 0
3 years ago
Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94
ra1l [238]
Area for a circle is A= \pi r^2.  We will fill in each area and then solve for the radius.  530.66m^2= \pi r^2 and \frac{530.66m^2}{3.14}=r^2.  ∴169=r^2 and r = 13.  For b, 907.46ft^2= \pi r^2 and \frac{907.46ft^2}{3.14}=r^2.  289=r^2, ∴ r = 17.  For c, 379.94mi^2= \pi r^2, and \frac{379.94mi^2}{3.14}=r^2.  ∴, 121=r^2 and r = 11.  For d, 1962.5cm^2= \pi r^2, and \frac{1962.5cm^2}{3.14}=r^2.  ∴, 625=r^2 so r = 25.  And there you have it!
3 0
4 years ago
PLEASE HELP I WILL GIVE BRAINLIEST MUST USE WORK :)
Nikolay [14]

slope = (y2-y1)/(x2-x1)

m =(-2-7)/(8-0)

m =(-9/8)

slope is -9/8

the y intercept is 7   (0,7)

y = mx +b

y = -9/8 x+7

Answer: y = -9/8x +7

6 0
4 years ago
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