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2 years ago

What is the product of (6x^2 − 8)(9x^2 – x + 1)?

1 answer:

8 0

$(6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8$

Hope it helps

please give brainliest

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The vértices of a figure are given.

tatyana61 [14]

Answer:

R''(2, 1), S''(-1, 7), T''(2, 7)

Step-by-step explanation:

Rotation 90° CCW is accomplished by the transformation ...

(x, y) ⇒ (-y, x)

Translation 3 left and 8 up is accomplished by the transformation ...

(x, y) ⇒ (x -3, y +8)

Together, the two transformations give ...

(x, y) ⇒ (-y -3, x +8)

So your transformed points are ...

R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)

S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)

T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)

8 0

3 years ago

Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.

Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x$

3 0

2 years ago

Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2.

xxTIMURxx [149]

Answer:

x => y

0 => 0

2 => 3

4 => 6

-2 => -3

Step-by-step explanation:

The equation of a proportional relationship is represented as y = kx,

where, k = y/x

We are given that k = ³/2

This means that, equation of the relationship therefore would be:

y = ³/2x

Use this equation to solve for each missing value on the table given:

✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:

0 = ³/2x

0 * 2 = 3x

0 = 3x

0/3 = x

x = 0

✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:

y = ³/2(2)

y = 3

✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:

6 = ³/2x

6 * 2 = 3x

12 = 3x

12/3 = x

x = 4

✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:

y = ³/2(-2)

y = -3

5 0

3 years ago

Help pls ty in advance

svetoff [14.1K]

$\bold{\huge{\underline{ Solution\: 2 }}}$

The name of the circle is IJKL
The name of central Angle
$\sf{\underline{= {\angle} IHJ }}$
The name of the secant = KL

${\bigstar}$ Circle :- It is a round figures, which has no end points.

${\bigstar}$ Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

${\bigstar}$ Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

$\bold{\huge{\underline{ Solution\: 3 }}}$

Semicircle = FGH and FIH
Minor Arc :- FG or GH
Major Arc :- FHG or GFH

${\bigstar}$ Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram 

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

${\bigstar}$ Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here, 

FG or GH are the minor arc of the given circle.

${\bigstar}$ Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here, 

FHG or GFH is the major arc as it is larger than the semicircle of the given circle .

7 0

2 years ago

Mr.Manciel is planning an event at a local hotel. The hotel owner told him that the dance floor in the ballroom is about 1,500 s

murzikaleks [220]

Yes it was reasonable. I say it is resonable because if you multiply 44 times 25 it is 1,100 so the estimate was close enough

8 0

3 years ago