The product of y and 5, plus 4<br> Use n for 'a number'. Do NOT use x for times

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table

vladimir1956 [14]

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

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8 0

2 years ago

Write the equation of a line that is perpendicular to y=3x-2 that passes trough the point (-9,5)

ElenaW [278]

$\huge\boxed{y-5&=-\frac{1}{3}(x+9)}$

First, we'll find the slope of the new line. The first line has a slope of $3$ . Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by $-1$ ) to get $-\frac{1}{3}$ for the new slope.

Then, we'll use the point-slope form to make the new equation, where $m$ is the slope and $(x_1,y_1)$ is a point on the line:

$\begin{aligned}y-y_1&=m(x-x_1)\\y-5&=-\frac{1}{3}(x-(-9))\\y-5&=-\frac{1}{3}(x+9)\end{aligned}$

3 0

2 years ago

Read 2 more answers

your automobile insurance semiannual premium is 750 and you have 1050 deductible per incident. In a particularly bad year, you h

nataly862011 [7]

Answer:

$3600

Step-by-step explanation:

In each case, the repair cost exceeded the deductible, so your out-of-pocket cost for 2 repairs is ...

2 × $1050 = $2100

In addition, you had to pay the premium of $750 per 6-month period, or $1500 per year, so your total was ...

$2100 +1500 = $3600 . . . out-of-pocket total

6 0

3 years ago

The human eye contains approximately 9.1 x 10^7 rod cells and 4.5 x 10^6 cone cells . Samuel subtracts 9.1-4.5 and says there ar

Paul [167]

Samuel is incorrect because he didn't subtract the power of the numbers.

<h3>How many more rod cells are there?</h3>

The number of rod and cone cells in the human eye is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 1 x 10² is equivalent to 100

(9.1 x 10^7) - (4.5 x 10^6)

= (9.1 - 4.5) x 10^(7 - 6)

4.6 x 10 = 46

To learn more about scientific notation, please check: brainly.com/question/25334755

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6 0

2 years ago

Help help help help me , (math question)

insens350 [35]

Answer:

Step-by-step explanation:

1.) Rounded to the nearest millionth, the number is about -

0.000001 <-- This is the millionths place, so the answer would be:

0.000007

Written as the product of a single digit and a power of ten, this number is:

7 x 10^-6

6 0

3 years ago

The product of y and 5, plus 4 Use n for 'a number'. Do NOT use x for times