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3 years ago

Which equation gives the closest estimate of 692 – 343?

Mathematics

1 answer:

Oliga [24]3 years ago

6 0

Answer:

350

Step-by-step explanation:

Nearest hundred: 300

Nearest whole number: 350

Hope this helped!

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How do you graph x = 8/5

stich3 [128]

Answer:

The graph would just be a vertical line as there is no slope or no change in the slope of the equation.

Step-by-step explanation:

6 0

3 years ago

Use explicit formula to find the 10th of each geometric sequence

Sindrei [870]

Answer:

1. 1*9^(10-1) = 387,420,489

2.2*4^(10-1) = 524,288

Step-by-step explanation:

The explicit formula for a geometric sequence is a1 * r^n-1

Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence

To solve for the 10th number in the sequence, we simply plug 10 in for n.

Hope this helps

3 0

2 years ago

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

3 years ago

The graphs below have the same shape. What is the equation of the blue

lbvjy [14]

Answer: D.g(x)=(x-2)^2+1

Step-by-step explanation:A p E x verified

5 0

2 years ago

Suppose that y varies directly with x and y=12 when x=-2. what is when x=-6?

dlinn [17]

Y=4

How?
When they say directly you should multiply the x and y together. You would get -24, now using that number divide -24 by the new x(-6) you would get 4.

4 0

3 years ago

Read 2 more answers