Option A) 14/250 = N/350 is correct.
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.
<h3>What is proportionality?</h3>
proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.
Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350
Thus, the required proportion is given as 14/250=N/350.
Learn more about proportionality here:
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<span>An equation is a statement of equality „=‟ between two expression for particular</span>values of the variable. For example5x + 6 = 2, x is the variable (unknown)The equations can be divided into the following two kinds:Conditional Equation:<span>It is an equation in which two algebraic expressions are equal for particular</span>value/s of the variable e.g.,<span>a) 2x <span>= <span>3 <span>is <span>true <span>only <span>for <span>x <span>= 3/2</span></span></span></span></span></span></span></span></span><span> b) x</span>2 + x – <span> 6 = 0 is true only for x = 2, -3</span> Note: for simplicity a conditional equation is called an equation.Identity:<span>It is an equation which holds good for all value of the variable e.g;</span><span>a) (a <span>+ <span>b) x</span></span></span><span>ax + bx is an identity and its two sides are equal for all values of x.</span><span> b) (x + 3) (x + 4)</span> x2<span> + 7x + 12 is also an identity which is true for all values of x.</span>For convenience, the symbol „=‟ shall be used both for equation and identity. <span>1.2 Degree <span>of <span>an Equation:</span></span></span>The degree of an equation is the highest sum of powers of the variables in one of theterm of the equation. For example<span>2x <span>+ <span>5 <span>= <span>0 1</span></span></span></span></span>st degree equation in single variable<span>3x <span>+ <span>7y <span>= <span>8 1</span></span></span></span></span>st degree equation in two variables2x2 – <span> <span>7x <span>+ <span>8 <span>= <span>0 2</span></span></span></span></span></span>nd degree equation in single variable2xy – <span> <span>7x <span>+ <span>3y <span>= <span>2 2</span></span></span></span></span></span>nd degree equation in two variablesx3 – 2x2<span> + <span>7x + <span>4 = <span>0 3</span></span></span></span>rd degree equation in single variablex2<span>y <span>+ <span>xy <span>+ <span>x <span>= <span>2 3</span></span></span></span></span></span></span>rd degree equation in two variables<span>1.3 Polynomial <span>Equation <span>of <span>Degree n:</span></span></span></span>An equation of the formanxn + an-1xn-1 + ---------------- + a3x3 + a2x2 + a1x + a0<span> = 0--------------(1)</span>Where n is a non-negative integer and an<span>, a</span>n-1, -------------, a3<span>, a</span>2<span>, a</span>1<span>, a</span>0 are realconstants, is called polynomial equation of degree n. Note that the degree of theequation in the single variable is the highest power of x which appear in the equation.Thus3x4 + 2x3 + 7 = 0x4 + x3 + x2<span> <span>+ <span>x <span>+ <span>1 <span>= <span>0 , x</span></span></span></span></span></span></span>4 = 0<span>are <span>all <span>fourth-degree polynomial equations.</span></span></span>By the techniques of higher mathematics, it may be shown that nth degree equation ofthe form (1) has exactly n solutions (roots). These roots may be real, complex or amixture of both. Further it may be shown that if such an equation has complex roots,they occur in pairs of conjugates complex numbers. In other words it cannot have anodd number of complex roots.<span>A number <span>of the <span>roots may <span>be equal. Thus <span>all four <span>roots of x</span></span></span></span></span></span>4 = 0<span>are <span>equal <span>which <span>are <span>zero, <span>and <span>the <span>four <span>roots <span>of x</span></span></span></span></span></span></span></span></span></span>4 – 2x2 + 1 = 0<span>Comprise two pairs of equal roots (1, 1, -1, -1)</span>
The difference of 78003 and 32136 is 45867
Hope this helped!!!!!
No the larger the number the steeper the slope. 1 would be a steeper slope than a number less than 1.
Step-by-step explanation:
- This is a polynomial, and every expression like y=p(x) , with p(x) a polynomial, is a function.
