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2 years ago

Write in lowest terms: 7x2 - 13x - 2 27x2 - 6x - 1

1 answer:

8 0

So... get the like-terms and add/subtract $7x^2-13x-2+27x^2-6x-1
\\ \quad \\
\textit{add/subtract the like-terms}
\\ \quad \\
\boxed{7x^2+27x^2}\quad \boxed{-13x-6x}\quad \boxed{-1-2}$

see what that gives you

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HELP PLEASE BRAINLIEST!

7nadin3 [17]

A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship. You can tell this because the line passes directly through the origin (0,0). It also says that it is a straight line that passes through the points, so most likely the line will contain points that have a proportional relationship. Hope that helps :)

3 0

3 years ago

Read 2 more answers

A circular pool has a diameter of 40 feet and is surrounded by a wooden deck that has a width of 4 feet and a depth of 6 inches.

Dvinal [7]

40x4x6= 960 square inches

8 0

3 years ago

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

Evaluate the expression for x = -2, y = 3, z = -4. -4x + 5y + 6z *

babunello [35]

Answer:

-1

Step-by-step explanation:

Plug in given values

-4x + 5y + 6z

-4(-2) + 5(3) + 6(-4)

8 + 15 -24

23-24

-1

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3 years ago

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Can someone plz help me i will thank u so much

klemol [59]

Answer:

2 hours and 29 minutes

Step-by-step explanation:

if you change 9 hours to minutes you get 540 plus 17 equals 557. if you turn 6 hours to minutes it's 360 plus 48 equals 408. 557 minus 408 equals 149 minutes. Now if you convert it to hours and minutes you need to divide by 60. So if you divide it you get 2 hours and 29 minutes. hope this helped! :)

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3 years ago