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timama [110]
3 years ago
15

What is the y intercept of c=0.05m+4.95

Mathematics
1 answer:
Burka [1]3 years ago
7 0
The y intercept is where m=0. Hence, set m=0 and solve for c:
c=0.05(0)+4.95
c=4.95

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If p(x) = x 2 + 7x + 3 is divided by x + 4, the remainder is
igor_vitrenko [27]
<span>tep  1  :</span> 3 Simplify — x <span>Equation at the end of step  1  :</span> 3 px - ((9x + —) + 4) = 0 x <span>Step  2  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 2.1 </span>  Adding a fraction to a whole 

Rewrite the whole as a fraction using <span> x </span> as the denominator :

9x 9x • x 9x = —— = —————— 1 x

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 2.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

<span> 9x • x + 3 9x2 + 3 —————————— = ——————— x x </span><span>Equation at the end of step  2  :</span><span> (9x2 + 3) px - (————————— + 4) = 0 x </span><span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Adding a whole to a fraction 

Rewrite the whole as a fraction using <span> x </span> as the denominator :

4 4 • x 4 = — = ————— 1 x <span>Step  4  :</span>Pulling out like terms :

<span> 4.1 </span>    Pull out like factors :

  <span> 9x2 + 3</span>  =  <span> 3 • (3x2 + 1)</span> 

Polynomial Roots Calculator :

<span> 4.2 </span>   Find roots (zeroes) of :      <span> F(x) = 3x2 + 1</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is <span> 1. 

 </span>The factor(s) are: 

of the Leading Coefficient : <span> 1,3 
 </span>of the Trailing Constant : <span> 1 

 </span>Let us test ....

<span><span>  P  Q  P/Q  F(P/Q)   Divisor</span><span>     -1     1      -1.00      4.00   </span><span>     -1     3      -0.33      1.33   </span><span>     1     1      1.00      4.00   </span><span>     1     3      0.33      1.33   </span></span>


Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

<span> 4.3 </span>      Adding up the two equivalent fractions 

<span> 3 • (3x2+1) + 4 • x 9x2 + 4x + 3 ——————————————————— = ———————————— x x </span><span>Equation at the end of step  4  :</span><span> (9x2 + 4x + 3) px - —————————————— = 0 x </span><span>Step  5  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 5.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> x </span> as the denominator :

px px • x px = —— = —————— 1 x Trying to factor by splitting the middle term

<span> 5.2 </span>    Factoring <span> 9x2 + 4x + 3</span> 

The first term is, <span> <span>9x2</span> </span> its coefficient is <span> 9 </span>.
The middle term is, <span> +4x </span> its coefficient is <span> 4 </span>.
The last term, "the constant", is <span> +3 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 9</span> • 3 = 27</span> 

Step-2 : Find two factors of  27  whose sum equals the coefficient of the middle term, which is  <span> 4 </span>.

<span><span>     -27   +   -1   =   -28</span><span>     -9   +   -3   =   -12</span><span>     -3   +   -9   =   -12</span><span>     -1   +   -27   =   -28</span><span>     1   +   27   =   28</span><span>     3   +   9   =   12</span><span>     9   +   3   =   12</span><span>     27   +   1   =   28</span></span>


Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

<span> 5.3 </span>      Adding up the two equivalent fractions 

<span> px • x - ((9x2+4x+3)) px2 - 9x2 - 4x - 3 ————————————————————— = —————————————————— x x </span><span>Equation at the end of step  5  :</span><span> px2 - 9x2 - 4x - 3 —————————————————— = 0 x </span><span>Step  6  :</span>When a fraction equals zero :<span><span> 6.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

<span> px2-9x2-4x-3 ———————————— • x = 0 • x x </span>

Now, on the left hand side, the <span> x </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
  <span> px2-9x2-4x-3</span>  = 0

Solving a Single Variable Equation :

<span> 6.2 </span>    Solve  <span> <span>px2-9x2-4x-3</span> </span> = 0 

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

6 0
3 years ago
joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is thw width, in met
yuradex [85]
The width pf the rug is 15 meters
5 0
3 years ago
PLEASE HELP i will give you a brainly
Lady bird [3.3K]

Answer:JKL and ∠RST are complementary.

m∠JKL = 36° and m∠RST = ( x + 15)°.

Find the value of x and the measure of ∠RST .

complementary angles are two angles whose sum is 90°

36%2Bx+%2B+15=90°

51%2Bx+=90°

x+=90-51°

x+=39°

->the measure of ∠RST== ( 39 + 15)=54°

both answer and explanation

8 0
3 years ago
Bess has $2.80 in quarters and dimes. The number of dimes is 7 less than the number of quarters. Find the number of quarters and
Nezavi [6.7K]

Answer:

3 dimes and 10 quarters

Step-by-step explanation:

If you add 7 dimes, then the number of dimes and quarters is the same, and the total increases to $3.50. A dime and a quarter have a value together of $0.35. Since there are equal numbers, the value $3.50 must be made up of some quantity of groups with a value of $0.35. That number of groups must be ...

... $3.50/$0.35 = 10

Thus, there are 10 quarters and 10-7 = 3 dimes.

_____

<em>Using an equation</em>

Let q represent the number of quarters. Then the amount Bess has is ...

... 0.10(q -7) +0.25q = 2.80

... 0.35q - 0.70 = 2.80

... 0.35q = 3.50 . . . . . add 0.70 . . . . . . . this should look familiar

... q = 3.50/0.35 = 10

4 0
3 years ago
Isn’t it just 5? Why would it say check all that apply
LenKa [72]

Answer: 25^\frac{1}{2}

Step-by-step explanation:

25 = 5*5 or -5 * -5

yes, that is correct. However, you forgot another property of roots. Roots are simply exponential fractions.

\sqrt[n]{x^m}=x^\frac{m}{n}

Therefore, \sqrt{25} can also be rewritten as: 25^\frac{1}{2}. Notice that it cannot be -25 because that would be a negative square root which will give us an imaginary number.

4 0
3 years ago
Read 2 more answers
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