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3 years ago

Which expression makes the equation true for all values of x? 16x-16=4(?)

Mathematics

2 answers:

insens350 [35]3 years ago

6 0

$16x-16=4\cdot4x-4\cdot4=4(4x-4)$

$16x-16=4(4x-4)$

garik1379 [7]3 years ago

4 0

Answer: the answer is 4x-4

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Help me please please please

kirza4 [7]

Answer:

3 and 5 are the correct answer's

Step-by-step explanation:

12 6 3 all make up the facts that each hat can hold about 56.5 cubic inches of candy, and a hat with a radius of 4 inches and a height of 5 inches would hold more candy than the hats Cary's mom is using.

7 0

3 years ago

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\$

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270$

Therefore,

The sum of the infinite geometric series is,

$\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288$

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

5 0

3 years ago

Find r(t) if r'(t)=ti+e^tj+te^tk and r(0)=i+j+k

weeeeeb [17]

R(t) = integral of r'(t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t)k + c
r(0) = j - k + c = i + j + k
c = i + 2k
Therefore, r(t) = (1/2t^2 + 1)i + e^tj + (te^t - e^t + 2)k

6 0

4 years ago

19. Find the equation of the line that contains the given points. Write the equation in slope-

AveGali [126]

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5