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iogann1982 [59]

2 years ago

7

boxes of whole wheat linguine are on sale this week for 30% off the original price. They cost $1.50 when they are not on sale. W

hat is the cost after this week's discount?

2 answers:

GuDViN [60]2 years ago

8 0

Answer:

1.05

Step-by-step explanation:

that is the answer

Svetach [21]2 years ago

5 0

(100-30)% x 1.50=$1.05
☺☺☺☺

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P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

2 years ago

2 ( −14 + r ) − ( −3r − 5 )

svet-max [94.6K]

-28+2r+3r+5
simplified it is -23+5r

4 0

3 years ago

Read 2 more answers

Celeste uses 24 inches of ribbon from a spool that holds 36 inches of ribbon. Which shows equivalent representations for the par

never [62]

Your simplified answer is indeed 2/3 (or 60%, or 0.6) because the fraction 24/36 can be simplified by dividing both the numerator and denominator by 6, which leaves you with 2/3.

3 0

3 years ago

Greeley [361]

Answer:

0 see the explnation

Step-by-step explanation:

attached above

4 0

2 years ago

the perimeter of football field in a rectangular form of a certain school is 296cm if the breath is2/3 of the length find the le

Pani-rosa [81]

Answer:

L = 29.6 cm

Step-by-step explanation:

Let Length be L and Breadth be B

<u><em>Condition 1:</em></u>

$2(Length)+2(Breadth) = Perimeter$

Where Perimeter = 296 cm

=> 2L + 2B = 296

=> 2(L+B) = 296

<em>Dividing both sides by 2</em>

=> L + B = 148 ------------------(1)

<u><em>Condition 2:</em></u>

=> B = $\frac{2}{3} L$ -------------------------(2)

Putting Equation 2 in 1

=> L + $\frac{2}{3} L$ = 148

Multiplying both sides by 3

=> 3L + 2L = 148

=> 5L = 148

=> L = 148/5

=> L = 29.6 cm

6 0

2 years ago

Read 2 more answers