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Bond [772]
3 years ago
6

a carp can travel at a speed of 3 and 7/10 miles per hour. at this rate how far can a carp travel in 2 and 1/2 hours

Mathematics
2 answers:
Basile [38]3 years ago
8 0
I believe the answer is the carp travels 9 1/<span>4</span> miles in 2 <span>1/2</span><span> hours</span>
allsm [11]3 years ago
6 0
Answer:
number of miles = 9.25 miles = 9 and 1/4 miles

Explanation:
For simplicity, I will convert the mixed numbers into decimals to ease the calculations. Then I will convert the final answer back into a mixed number.
So,
3 and 7/10 miles = 3.7 miles
2 and 1/2 hours = 2.5 hours

Now, we are given that the rate of the car is 3.7 miles per hour. To know the time taken by the car to travel 2.5 miles, we will simply do cross multiplication as follows:
3.7 miles ................> 1 hour
?? miles ................> 2.5 hous
number of miles = (2.5*3.7) / 1 = 9.25 miles

Now, converting this back into mixed number, we will find that:
number of miles = 9.25 miles = 9 and 1/4 miles

Hope this helps :)
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PLEASEEE HELPPPP IM BEGGIN U
Anna71 [15]

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

  • the variables are omitted ("place value" is used instead)
  • the constant in the divisor is <em>negated</em> so its product with the partial quotient can be <em>added</em> to obtain the new dividend
  • the divisor binomial is assumed to have a leading coefficient of 1.

__

<h3>a) </h3>

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

<h3>b)</h3>

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

<h3>c)</h3>

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  \begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}

__

<h3>d)</h3>

The second attachment shows synthetic division by the factor (x+4).

_____

<em>Additional comment</em>

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

6 0
2 years ago
A=1/2•e•m <br> solve the following formula for e
Vedmedyk [2.9K]

(1 / 2) x e x meters =

1.35914091 meters

8 0
3 years ago
Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym co
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Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  y = 10x + 30. comparing this model to the equation of a straight lines  we can get the y- intercept

y = 10x + 30\\\y= mx+c

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

5 0
3 years ago
What is the value of the expression (-4)^4
Lapatulllka [165]
The value of the expression is 256
4 0
3 years ago
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?
adell [148]
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this: 

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared. 

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)

Hope this helps!
8 0
3 years ago
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