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3 years ago

Classify the polynomial 8x^3 +6x^2 -3x +1 according to its degree and number of terms.?

Mathematics

2 answers:

White raven [17]3 years ago

5 0

8 is the correct ans

dexar [7]3 years ago

3 0

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree:

Leading Term:

8x^3

Leading Coefficient:

Step-by-step explanation:

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2$

3 0

3 years ago

Simultaneous equation <br> Find x and y <br> 2x+y=5<br> X+3y=5

snow_tiger [21]

$x+3y=5 \ =>\boxed{x=5-3y} \\\\ 2x+y=5 \\\\ 2(5-3y)+y=5 \\\\10-6y+y=5 \\\\ -5y=5-10 \\\\ -5y=-5 \ |:(-5) \\\\ \boxed{y=1} \\\\ x=5-3*1 \\\\ x=5-3 \\\\ \boxed{x=2}$

6 0

3 years ago

Read 2 more answers

Another scale drawing of Jimmy's living room is shown below:

deff fn [24]

Answer:

last option

Step-by-step explanation:

Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

5 0

3 years ago

Write the equation of the line in slope- intercept and point-slope form.

AnnZ [28]

Answer:

Step-by-step explanation:

As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is

m = rise/run = 4/2 = 2.

Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

3 0

3 years ago

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Lena [83]

Answer:

-9

Step-by-step explanation:

2x + 7 = -11

2x = -11 - 7

2x = -18

x = -9

7 0

3 years ago