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3 years ago

Which pattern could have been used to create the sequence? 400, –200, 100, –50, 25

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

I believe it would be multiplied by -0.5 or -1/2.

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Passes through (-6,5) and parallel to 2x-3y=12

Black_prince [1.1K]

Steps:
1. Do the point slope form
Y-Y1=m(x-x1)
Y-5=2(x + 6)
Y-5=2x +12
2. Now you add 5 to the number 12
3. Your answer is
Y=2x +17

7 0

3 years ago

ΔABC ~ ΔDEC. ∠1 and ∠2 have the same measure. Find DC and DE. (Hint: Let DC=x and AC=x+3. Use the figure shown.)

Sveta_85 [38]

DC/AC=EC/BC
x/(x+3)=10/16
10(x+3)=16x
10x+30=16x
30=6x
x=5
DC=x=5
DC=5 units long

10/16=DE/AB, DE=y

10/16=y/10
16*y=10*10
y=6.25≈6.3
DE≈6.3

8 0

3 years ago

Which of the following is a counterexample of, "All rational numbers are integers"? is not an integer. 3 is an integer. -1 is a

Sever21 [200]

Answer:

It is (almost certainly) the first choice, however, you omitted the actual example there. See below.

Step-by-step explanation:

A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.

The remaining 3 choices to your answer are all not applicable.

4 0

3 years ago

Read 2 more answers

PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

$x = \frac{-b}{2a}$

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

$x = \frac{-b}{2a}$

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

$x = \frac{-b}{2a}$

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

$x = \frac{-b}{2a}$

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

Learn more about axis of symmetry from brainly.com/question/11800108

#learnwithBrainly

7 0

4 years ago

80% of x games is 32 games

miskamm [114]

80% of x = 32
80% × x = 32
.80x = 32
x = 32/.80
x = 40

80% of 40 games is 32 games.

4 0

3 years ago