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Jet001 [13]
3 years ago
14

The length of a rectangle is 4 cm more than 3 times it’s width. If the area of the rectangle is 15 cm^2, find the width. Use qua

dratic equations.

Mathematics
2 answers:
REY [17]3 years ago
6 0
Well, you should probably check with somebody else but i had got 26.5 or 26 1/2. I'm not sure if that is correct due to it saying to use quadratic equations. Sorry
Inessa [10]3 years ago
3 0
Same answer as the first question be with the quadratic formula

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8 0
3 years ago
What is 16.666666667 rounded to the nearest tenth
eimsori [14]
16.666666667 rounded to the nearest tenth is 16.7. Rounded to the nearest "tenth" means rounded to one decimal place.
8 0
3 years ago
Read 2 more answers
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
2 years ago
Ann and Pat have 3 cupcakes to share. They cut each cupcake into 2 equal parts.
Rama09 [41]

Answer:

6

Step-by-step explanation:

3+3 maybe :) .

3 0
3 years ago
Read 2 more answers
Find the sum of the arithmetic series given ai = 45, an = 85, and n = 5.
seraphim [82]

Answer:

C. 325.

Step-by-step explanation:

The last term a5 = 85

a1 = 45

Sum of n terms = n/2 (a1 + l)

So here we have n = 5, a1 = 45 and the last term l = 85

= (5/2)(45 + 85)

= 5/2 * 130

= 325.

5 0
2 years ago
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