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3 years ago

Which sequence is a geometric progression a 2 4 6 8 b 1 1 2 3 c1 2 4 8 d1 3 5 7

Mathematics

1 answer:

olganol [36]3 years ago

5 0

9514 1404 393

Answer:

c 1, 2, 4, 8

Step-by-step explanation:

It can work well to look at the first differences.

a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2

b: differences are 0, 1, 1

c: differences are 1, 2, 4

d: differences are 2, 2, 2

Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.

Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.

Sequence c is a geometric progression.

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Find the x-intercepts for the parabola defined

Inessa05 [86]

Answer:

<h2>Explanation:</h2>

In this exercise we have the following equation of a parabola:

$y=2x^2-12x+10$

So our goal is to find the x-intercepts. We can find this setting $y=0$ , so:

$2x^2-12x+10=0$

Taking 2 as common factor:

$2(x^2-6x+5)=0$

Hence this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

The sum is -6
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Those two numbers are:

-1 and -5

Because:

Sum: -6
Product: 5

So this equation can be written as:

$x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-1 \\ b=-5 \\ \\ x^2-14x+24=(x-(-1))(x-(-5))=0 \\ \\ (x+1)(x+5)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=-1 \ and \ x=-5}$

<h2>Learn more:</h2>

Solutions to quadratic equation: brainly.com/question/13742278#

#LearnWithBrainly

5 0

3 years ago

Paloma plotted two different integers with the same absolute value on a number line. The distance between the two numbers must b

vitfil [10]

Answer:

Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, "negative 5" is the opposite of "positive 5." Every number on the number line also has an absolute value, which simply means how far that number is from zero.

hope that helps

3 0

4 years ago

Read 2 more answers

PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)

vekshin1

Answer: -1

Step-by-step explanation:

To find the slope fo the line with the given points, you use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1$

Now, we know that the slope is -1.

7 0

3 years ago

Will give brainliest and 50 points

mr_godi [17]

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

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3 years ago

Read 2 more answers

Use the drop-downs to complete the solution set of the given inequality.<br> Is - 141 < 0.5<br> v

kotegsom [21]

Answer:

141>0.5

Step-by-step explanation:

I think is how you are supposed to answer it I wasn't sure because the question was a little bit confusing good luck

Mark me the brainliest PLEASE

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3 years ago