Answer:
7.$95 8. $112.50
Step-by-step explanation:
7.
50 divided by 100 is 0.5, then times by 90 is 45.
45 plus 50 is 95.
8.
$150/4=$37.50
$150-$37.50=$112.50
Answer: 940
Explanation: A quick way to think of this is moving the decimal in 9.4 to the right by two decimal places (since there are two zeroes in 100) Hope this helps! :)
If you divid 8.4 x 107 and 3 x 103 you should get 2.8 x 104
Hey there!
In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer.
(2x² – 5x)(4x² – 12x + 10)
2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²
–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x
Write all of these terms together. You can rearrange the similar ones to be next to each other.
8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x
Just add or subtract the terms to simplify, if they can be.
8x⁴ – 44x³ + 80x² – 50x
(8x⁴ – 44x³ + 80x² – 50x) will be your final answer.
Hope this helped you out! :-)
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
