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Arisa [49]
2 years ago
14

PLAS HELP!! For multiple-choice: cubic, quadratic, linear, quintic, quartic

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
5 0

Answer:

  • cubic
  • 3 terms
  • constant: -2
  • leading term: 1/4x³
  • leading coefficient: 1/4

Step-by-step explanation:

The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.

__

The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).

"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."

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1. The difference of five times a number and 6 is -2.
OlgaM077 [116]

Answer:

13

Step-by-step explanation:

5-x+6=-2

X=13

5 0
3 years ago
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $
Mila [183]

Answer:

  $2.72

Step-by-step explanation:

The increase from last week is the fraction ...

  (new price)/(old price) -1 = (1.82/1.65) -1 = 17/165

so the amount of increase Sally will pay this week is ...

  17/165×$26.40 = $2.72

_____

<em>Comment on the working</em>

We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.

If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.

8 0
3 years ago
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
Calculate the percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt h
Crazy boy [7]

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

<h3>What is percentage change?</h3>

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

Learn more about percentage change here:

brainly.com/question/14656289

#SPJ1

5 0
2 years ago
Please someone what is the total surface area of this pryamid ​
Dimas [21]

Answer:

\large\boxed{C.\ (25+25\sqrt3)\ in^2}

Step-by-step explanation:

We have the square and four equilateral triangles.

The formula of an area of a squre:

A_S=a^2

a - length of side

The formula of an area of an equilateral triangle:

A_T=\dfrac{a^2\sqrt3}{4}

a - length of side

Clculate the areas:

SQURE:

A_S=x^2\ in^2

TRIANGLE:

A_T=\dfrac{x^2\sqrt3}{4}\ in^2

The SURFACE AREA of a square pyramid:

S.A.=A_S+4A_T\\\\S.A.=x^2+4\cdot\dfrac{x^2\sqrt3}{4}=x^2+x^2\sqrt3

Put x = 5:

S.A.=5^2+5^2\sqrt3=(25+25\sqrt3)\ in^2

7 0
3 years ago
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