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Paladinen [302]
2 years ago
13

Find the remainder when f(x)=2x^3-x^2+x+1 is divided by 2x+1

Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0

Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

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How do I find the answer for this equation 20x+15y= 330, when x+y =18
Maru [420]
U divide 330 by 15 and get the quotient then do the same thing to 20 and add the quotients together to solve for x and y
6 0
3 years ago
Identify the intervals on which the function x^2 -2x -48 is positive
lions [1.4K]

Step-by-step explanation:

x² - 2x - 48

= (x - 8)(x + 6)

Coefficient of x² is positive, => Happy shape curved upwards

Hence x < -6 or x > 8.

7 0
3 years ago
The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the spee
kozerog [31]
Highest mileage
m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K

The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
</span>

<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
</span><span>h = <span>–b</span>/<span>2a</span> =  -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k=  -30.025</span><span>k=  -</span>30.0<span>
</span></span>
6 0
3 years ago
Problem page an item is regularly priced at $65 . it is on sale for 60% off the regular price. how much (in dollars) is discount
Sauron [17]
65(.4) = 26$

65- 26 = 39

The answer is $39
5 0
3 years ago
A sample of substance x that has a mass of 326.0 g releases 4325.8 cal when it freezes at its freezing point. if substance x has
zysi [14]

The molar heat of fusion for substance X , given the data is 775.6 cal/mol

<h3>How to determine the mole of the substance X</h3>
  • Mass = 326 g
  • Molar mass = 58.45 g/mol
  • Mole = ?

Mole = mass / molar mass

Mole = (326 / 58.45) moles

<h3>How to determine the heat of fussion</h3>
  • Mole (n) = (326 / 58.45) moles
  • Heat (Q) = 4325.8 cal
  • Heat of fusion (ΔHf) = ?

Q = n × ΔHf

4325.8 = (326 / 58.45) × ΔHf

4325.8 = (326 × ΔHf ) / 58.45

Cross multiply

326 × ΔHf = 4325.8 × 58.45

Divide both sides by 326

ΔHf = (4325.8 × 58.45) / 326

ΔHf = 775.6 cal/mol

Learn more about heat transfer:

brainly.com/question/6363778

#SPJ1

7 0
2 years ago
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