Solve each quadratic equation. Show your work.

14. (2x – 1)(x + 7) = 0

Answers

Answer 1

Answer: (2x – 1)(x + 7) = 0

2x-1=0
2x=1
x=1/2
x=0.5

x+7=0
x= -7

Answer 2

Answer: solve your equation step-by-step.

(2x−1)(x+7)=0

Simplify both sides of the equation.

2x2+13x−7=0

Factor left side of equation.

(2x−1)(x+7)=0

Set factors equal to 0.

2x−1=0 or x+7=0

x=1/2 or x=−7

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Write the number21,989.098 in expanded form and word form

Answers

21,989.098 in expanded form would be...

20,000+1,000+900+80+9+0.09+0.008

21,989.098 in word form would be...

Twenty-one thousand nine hundred eighty-nine and ninety-eight thousandths

Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.

Answers

The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."

what is contrapositive?

The contrapositive is defined as the inverse and converse of a conditional statement.

X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.

So, the contrapositive of this statement would be:

"If x does not equal -4, then 5x + 7 will not equal to -13."

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Find the result when 20 is increased by 95%.

Answers

10 percent is 2 and 5 percent is 1. 2 times 9 is 18. That is 90 percent. 18 plus 1 is 19 which is 95 percent. 20 plus 19 is 39 so the answer is 39.

Final answer:

To find the result when 20 is increased by 95%, you will need to calculate 95% of 20, which is 19, and then add it to 20. The result is 39.

Explanation:

To find the result when 20 is increased by 95%, you will need to calculate 95% of 20 and add it to 20. Here's how:

Calculate 95% of 20: 0.95 * 20 = 19
Add 19 to 20: 20 + 19 = 39

So, the result when 20 is increased by 95% is 39.

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Example 1. Increase 120 by 10%. 2. Decrease 2 500 by 7%.

Answers

Answer:

Step-by-step explanation:

E1 = 120 * 110% = 132

E2 = 2500*93%=2325

Urgent!!!!! Which equation describes the graphed line

Answers

Answer: Hello, this is Bing. I can help you with your math problem.

To find the equation of the graphed line, we need to identify its slope and y-intercept. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the point where the line crosses the y-axis.

Looking at the image, we can see that the line passes through the points (-3, 4) and (3, -2). We can use these points to calculate the slope:

slope = (y2 - y1) / (x2 - x1) slope = (-2 - 4) / (3 - (-3)) slope = -6 / 6 slope = -1

The slope of the line is -1. This means that for every unit increase in x, the y value decreases by 1 unit.

To find the y-intercept, we can use either of the points and plug them into the equation y = mx + b, where m is the slope and b is the y-intercept. For example, using the point (-3, 4), we have:

4 = -1 * (-3) + b 4 = 3 + b b = 1

The y-intercept of the line is 1. This means that the line crosses the y-axis at (0, 1).

Therefore, the equation of the graphed line is:

y = -x + 1

This equation matches with one of the options given below the graph: y = -1/2x + 4. This is because we can multiply both sides of the equation by 2 and get:

2y = -2x + 2 y = -1/2x + 4

Answer: The equation that describes the graphed line is y = -1/2x + 4.

If x=2+√3,then find the value of x-1/x

Answers

A :-) x = 2+_/3
x-1/x = 1/2+_/3
( rationalize the denominator )
x-1/x = 1/2+_/3 x 2 -_/3/2 - _/3
[ ( a + b ) ( a - b ) = a^2 -b^2 ]
x-1/x = 2 - _/3/( 2 )^2 - ( _/3 )^2
x-1/x = 2 - _/3/4 - 3
x-1/x = 2 - _/3/1
x-1/x = 2 - _/3
x-1/x = ( 2+_/3 ) ( 2 - _/3 )
x -1/x = ( 2 )^2 - ( _/3 )^2
( x = 2+_/3 )
x-1/x = 4 - 3
x-1/x = 1

.:. The value of x-1/x is 1 .

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