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2 years ago

Use the graph to find the factorization of x2 - 6x + 8.

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

Answer:

D. (x-2)(x-4)

Step-by-step explanation:

The graph cross the x-axis in points with x-coordinates of 2 and 4

then 2 and 4 are roots of x² - 6x + 8.

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Which equation is the inverse of y = 7x2 – 10?

MrRissso [65]

we have

$y=7x^{2}-10$

To find the inverse

Step 1

Exchanges the variables, x for y and y for x

$x=7y^{2}-10$

Step 2

Isolate the variable y

$x=7y^{2}-10$

$7y^{2}=x+10$

$y^{2}= \frac{x+10}{7}$

Square Root both sides

$y=(+/-)\sqrt{\frac{x+10}{7}}$

Step 3

Let

$f(x)^{-1}=y$

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

therefore

<u>the answer is</u>

The inverse is

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

8 0

2 years ago

Read 2 more answers

5 Exam-style ABCD is a kite.

Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

$y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}$

5 0

2 years ago

Tawni watched 3/4 of a movie in 1 1/2 hours. Which is the length of the movie?

ella [17]

Answer:

2 hours.

Step-by-step explanation:

1 1/2 hours is equal to 90 minutes. We can calculate from this that 1/4 of the movie is equal to 30 minutes. To get the answer, we add the missing 1/4 of the movie (equal to 30 minutes) to get a total of 120 minutes, which is equal to two hours.

Good luck! Hope this helped!

3 0

1 year ago

Solve for x <br>40 = x/ -4/7<br>

Lena [83]

Answer:

$40 = \frac{x}{ - \frac{4}{7} } \\ 40 \times ( - \frac{4}{7} ) = x \\ x = - \frac{160}{7}$

3 0

2 years ago

Sue Brown is a salesperson at a car dealership. She earned a gross pay of $8000 for the month of June. Her state tax rate is 3.5

Neporo4naja [7]

Sue Brown owes $280.00 in state taxes for the month.

Step-by-step explanation:

Given,

Gross pay of Sue in June = $8000

Tax rate = 3.5%

As full amount is taxable; therefore

Amount of tax to be paid = 3.5% of pay of June

Amount of tax to be paid = $\frac{3.5}{100}*8000$

Amount of tax to be paid = 0.035*8000

Amount of tax to be paid = $280.00

Sue Brown owes $280.00 in state taxes for the month.

Keywords: percentage, multiplication

Learn more about percentage at:

#LearnwithBrainly

4 0

2 years ago