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2 years ago

Is this proportional? y = 7x + 3

Mathematics

1 answer:

Irina-Kira [14]2 years ago

7 0

Answer:

This equation is NOT proportional

Step-by-step explanation:

A proportional version of this equation would be Y=7x

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A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),

Lesechka [4]

Answer:The answer is B !

Step-by-step explanation:

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2 years ago

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What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

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3 years ago

The greatest comen factor of 24 and 30

Alja [10]

Answer:

Step-by-step explanation:

Write the prime factorizations:

24 = 2³ × 3

30 = 2 × 3 × 5

The greatest common factor is the product of the common factors at their lowest exponents.

GCF = 2 × 3

GCF = 6

7 0

3 years ago

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Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!

Anni [7]

I used a graphing calculator for this.

The solution my calculator got was:

(-2.625, 0.688) My calculator is very accurate, I don't think the test expects it to be like that.

Let's find the closest coordinates.

"B" is the closest.

I hope this helps!
~kaikers

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3 years ago

The diameter of a circle is 18 cm. Find its circumference in terms of pie

Rudik [331]

im sorry but can you show more so i can help you Step-by-step explanation:

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2 years ago

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