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3 years ago

15

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if nece

ssary.
Equation: 4x2+8x+7=4

Solution: Answer
and

2 answers:

lutik1710 [3]3 years ago

3 0

Answer:

$\:x=-\frac{3}{2},x=-\frac{1}{2}$

Step-by-step explanation:

Subtract 4 from both sides:

$4x^2+8x+7-4=4-4$

Simplify:

$4x^2+8x+3=0$

Solve with the quadratic formula:

$x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}$

$x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}$

Separate the solutions:

$x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}$

The solutions to the quadratic equation are:

$\:x=-\frac{3}{2},x=-\frac{1}{2}$

alexandr1967 [171]3 years ago

3 0

GIVEN:

<u>Equation</u>:— 4x² + 8x + 7 = 4

ANSWER:

On simplifying equation, we get

4x² + 8x + 7 = 4
4x² + 8x + 7 – 4 = 0
4x² + 8x + 3 = 0

Now, We'll split the middle term to get the solution.

So, 4x² + 6x + 2x + 3 = 0

2x(2x + 3) + 1(2x + 3) = 0
(2x + 1)(2x + 3) = 0
x = – 1/2 ; – 3/2

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Jean junction is selling jeans at 15% off the regular price. The regular price is 25.00 per pair. What is the discount amount?

irga5000 [103]

Answer:

the discount is 3.75 and that subtracted is 22.25

Step-by-step explanation:

25-3.75=22.25

5 0

3 years ago

(HELPPPPPPP) ples help me with 1, 2, 3

ra1l [238]

Answer:

Okay so number 3 is either undefined or Zero. I always forget which is which.

Step-by-step explanation:

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5 0

3 years ago

6 1⁄3 + 7 1⁄4 – 2 1⁄2 =

Korvikt [17]

Answer:

11 1/12

Step-by-step explanation:

6 1/3 = 19/3

7 1/4 = 29/4

2 1/2 = 5/2

19/3 + 29/4 - 5/2

We must find the LCM of 3, 4, and 2. This happens to be 12

3*4 = 12

4*3 = 12

2*6 = 12

Multiply each fraction by the factor that'll get it to 12.

19/3 * 4/4 = 76/12

29/4 * 3/3 = 87/12

5/2 * 6/6 = 30/12

Now go through the problem

76/12 + 87/12 - 30/12

76 + 87 = 163

163/12 - 30/12

163 - 30 = 133

133/12

Simplify

133/12 = 11.0833... or 11 1/12

Hope this helps.

6 0

3 years ago

Write an expression which can

Nikolay [14]

Answer:

15x^2 6y^2 5z^6

Step-by-step explanation:

area = length x width

area = 5x3y5z^2 * 3x2yz^4

5 0

2 years ago

Andrei [34K]

Answer:

$radius = \sqrt{13}$ or $radius = 3.61$

Step-by-step explanation:

Given

Points:

A(-3,2) and B(-2,3)

Required

Determine the radius of the circle

First, we have to determine the center of the circle;

Since the circle has its center on the x axis; the coordinates of the center is;

$Center = (x,0)$

Next is to determine the value of x through the formula of radius;

$radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}$

Considering the given points

$A(x_1,y_1) = A(-3,2)$

$B(x_2,y_2) = B(-2,3)$

$Center(x,y) =Center (x,0)$

Substitute values for $x,y,x_1,y_1,x_2,y_2$ in the above formula

We have:

$\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}$

Evaluate the brackets

$\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}$

$\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}$

Eva;uate all squares

$\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}$

$\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}$

Take square of both sides

$(3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9$

Evaluate the brackets

$3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9$

$9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9$

$9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9$

Collect Like Terms

$6x -4x + x^2 -x^2 = 4 -4 + 9 - 9$

$2x = 0$

Divide both sides by 2

$x = 0$

This implies the the center of the circle is

$Center = (x,0)$

Substitute 0 for x

$Center = (0,0)$

Substitute 0 for x and y in any of the radius formula

$radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}$

$radius = \sqrt{(x_1)^2 + (y_1)^2}$

Considering that we used x1 and y1;

In this case we have that; $A(x_1,y_1) = A(-3,2)$

Substitute -3 for x1 and 2 for y1

$radius = \sqrt{(-3)^2 + (2)^2}$

$radius = \sqrt{13}$

$radius = 3.61$ ---<em>Approximated</em>

7 0

4 years ago