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Darina [25.2K]
3 years ago
11

Multiply (7.7 × 106)(7 × 105). Express the result in scientific notation.

Mathematics
1 answer:
LiRa [457]3 years ago
8 0
Bro you put this on arts
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Intercept from a table
gladu [14]

\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{14}&\boxed{-5}\\ 21&-3\\ \boxed{28}&\boxed{-1} \end{array}\impliedby \textit{we'll use two points to get the slope}

\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-5})\qquad  (\stackrel{x_2}{28}~,~\stackrel{y_2}{-1}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{28-14}\implies \cfrac{-1+5}{28-14} \\\\\\ \cfrac{4}{14}\implies \cfrac{2}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{2}{7}(x-14) \\\\\\ y+5=\cfrac{2}{7}x-4

now, to get the y-intercept, we simply set x = 0 and solve for y, and to get the x-intercept, we set y = 0 and solve for x.

\bf \stackrel{\textit{y-intercept, x = 0}}{y+5=\cfrac{2}{7}(0)-4}\implies y+5=-4\implies y=-9\qquad \qquad \stackrel{y-intercept}{(0~,-9)}\\\\ -------------------------------\\\\ \stackrel{\textit{x-intercept, y = 0}}{(0)+5=\cfrac{2}{7}x-4}\implies 5=\cfrac{2x}{7}-4\implies 9=\cfrac{2x}{7}\implies 63=2x \\\\\\ \cfrac{63}{2}=x\implies 31\frac{1}{2}=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad \stackrel{x-intercept}{\left( 31\frac{1}{2}~,~0 \right)}

8 0
3 years ago
What was the original cost of the jacket.
True [87]

Answer:

  (c)  $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

  <u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price

     p = $76/0.95 = $80 . . . . . . . the original price

  <u>10% discount</u>: (1 -10%)·p = $72

     p = $72/0.90 = $80

  <u>25% discount</u>: (1 -25%)·p = $60

     p = $60/0.75 = $80

_____

<em>Additional comment</em>

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

  • add back that 5% to the 5%-discounted price: $76 +4 = $80
  • multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
5 0
2 years ago
6|6-4x|=8x+4<br> Need help solving the equation. I need help checking the extraneous solutions too.
Vsevolod [243]
6|6-4x|=8x+4\\\\Formula\ for\ absolute\ value\\\\&#10;|a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a \ \ -4x \geq -6\ \ -->\ \ \ x \leq \frac{3}{2}\\\\&#10;6(6-4x)=8x+4\\&#10;36-24x=8x+4\ \ |subtract\ 4\\&#10;32-24x=8x\ \ | add\ 24x\\&#10;32=32x\ \ | divide\ by\ 32\\&#10;x=1\ \ \ and\ 1 \leq \frac{3}{2}\\\\&#10;II\\&#10;for\ 6-4x  \ \ -4x < -6\ \ -->\ \ \ x > \frac{3}{2}\\\\&#10;6(-6+4x)=8x+4\\&#10;-36+24x=8x+4\ \ | subtract4\\&#10;-40+24x=8x\ \ \ | subtract\ 24x\\&#10;-40=-16x\ \ | divide\ by\ -16x=2,5\ \ and\ 2,5>\frac{3}{2}\\\\Solutions:\\&#10;x\in \{1;2,5\}
8 0
3 years ago
What is the slope of the line whose equation is y-4=5/2(x-2)
Pachacha [2.7K]

Answer:

5/2

Step-by-step explanation:

the equatino you are using is point slope form which is an equation involving the points and the slope and the origonal equation is y-y1=m(x-x1) m standing for slope, and x1 and y1 standing for the first coordinates, so the slope would be 5/2

4 0
3 years ago
One railroad track was laid out on the line y = 8x - 2 by the engineers in charge. Which of the following lines could have been
kvv77 [185]
Y = 8x - 2.....slope here is 8. A parallel line will have the same slope.

The other line would be : y = 4 + 8x (or y = 8x + 4).....because they both have the same slope, which makes the lines parallel to each other
7 0
4 years ago
Read 2 more answers
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