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gulaghasi [49]
3 years ago
14

Given f(x) = x2 + 5x + k, and the remainder when f () is divided by x – 8 is

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

By the remainder theorem, the remainder upon dividing a polynomial <em>p(x)</em> by <em>x</em> - <em>c</em> is equal to <em>p(c)</em>.

Here, <em>p(x)</em> = <em>x</em>² + 5<em>x</em> + <em>k</em> and <em>c</em> = 8, which gives

<em>p</em> (8) = 8² + 5•8 + <em>k</em>

93 = 64 + 40 + <em>k</em>

<em>k</em> = -11

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The equations of two lines are x - 3y = 6 and y = 3x + 2. determine if the lines are parallel, perpendicular or neither.parallel
Mice21 [21]
Start by converting x - 3y = 6 into slope-intercept form:
x - 3y = 6
Subtract x from both sides:
-3y = -x + 6
Divide both sides by -3:
y = (1/3)x - 2
Now compare both equations:
y = (1/3)x - 2
y = 3x + 2
They don't share anything perpendicular or parallel equations would share, so therefore they are neither.

Hope this helps! :)
6 0
4 years ago
Why does it make sense to use 660 and 60 to estimate the quotient
Alexxx [7]
What the qoutient sweetheart
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4 years ago
What would rate be equal to?
elena55 [62]

Answer:

Step-by-step explanation:

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3 0
3 years ago
A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca
Igoryamba

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

4 0
3 years ago
V = u + at<br> u = 2<br> a = -5<br> t = 1/2 (0.5)
Vsevolod [243]

v = 2 + ( - 5 \times 0.5) \\ v = 2  - 0.5 \\ v = 1.5
8 0
3 years ago
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