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3 years ago

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Mathematics

1 answer:

Ann [662]3 years ago

5 0

Answer:

$\frac{x^2}{7}+1 \text{ is a polynomial;}\\-2x^3+2x+4 \text{ is a polynomial;}\\x^{-3}+4x \text{ is not a polynomial;}\\\text{and }6x-x^3+4x^2 \text{ is a polynomial.}$

Step-by-step explanation:

A polynomial is the sum or difference of one or more monomials. A monomial is a constant, a variable, or the product of constants and variables. It does not include negative exponents.

The first choice is a polynomial because the only terms are variables with positive exponents and constants.

The second choice is a polynomial because the only terms are variables with positive exponents and constants.

The third choice is not a polynomial because the first term has a negative exponent.

The fourth choice is a polynomial because the only terms are variables with positive exponents and constants.

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12w - 27 = -34 + 14w

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Answer:

the answer is in fact 7/2

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3 years ago

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Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

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2 years ago

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Write the equation in slope-intercept form of the line that has a slope of -2 and y-intercept of 2.

bixtya [17]

Answer:

y= -2x +2

Step-by-step explanation:

<u>Slope-intercept form:</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -2, m= -2.

Substitute m= -2 into the equation:

y= -2x +c

Given that the y-intercept is 2, c= 2.

Substitute c=2 into the equation:

y= -2x +2

8 0

3 years ago

An antelope can run a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth

DochEvi [55]

Answer:

= 29.82 yards/second

Step-by-step explanation:

The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)

61 miles per hour

(61 miles) / (1 hour)

(61 miles)/(1 hour)*1

((61 miles)/(1 hour))*((5280 feet)/(1 mile))

((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))

note: miles, feet, hours, minutes cancel out; leaving yards per second

(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)

8 0

3 years ago

select the correct answer hurry has 81 red balls what she wants to arrange in rows is the number of balls and which will not be

Arlecino [84]

Given

81 red balls

Number of balls per row = Number of rows

Procedure

b = Number of balls

r = Number of rows

T = Total number of balls

b = r

$\begin{gathered} T=b\cdot r \\ Given\text{ b=r} \\ T=b^2 \\ b=\sqrt[]{T} \\ b=\sqrt[]{81} \\ b=9 \end{gathered}$

The answer is:

Number of rows = 9

Number of balls = 9

7 0

1 year ago