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3 years ago

Simplify the expression (2x² + 9) (x² - 7)

Mathematics

2 answers:

Natali5045456 [20]3 years ago

7 0

Answer:

2 $x^{4}$ - 5x² - 63

Step-by-step explanation:

Given

(2x² + 9)(x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

2x² (x² - 7) + 9(x² - 7) ← distribute both parenthesis

= 2 $x^{4}$ - 14x² + 9x² - 63 ← collect like terms

= 2 $x^{4}$ - 5x² - 63

Mashutka [201]3 years ago

6 0

Answer:

$\boxed {2x^{4} - 5x^{2} - 63}$

Step-by-step explanation:

Solve the following expression:

$(2x^{2} + 9) (x^{2} - 7)$

-Use Distributive Property:

$(2x^{2} + 9) (x^{2} - 7)$

$2x^{4} - 14x^{2} + 9x^{2} - 63$

-Combine like terms:

$2x^{4} - 14x^{2} + 9x^{2} - 63$

$\boxed {2x^{4} - 5x^{2} - 63}$

Therefore, the final answer is $2x^{4} - 5x^{2} - 63$ .

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Iteru [2.4K]

Answer:

-5/4

Step-by-step explanation:

4x-5y=10

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2 years ago

Solve for x A 15 B 16 C 2.4 D 12

Ne4ueva [31]

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Step-by-step explanation:

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3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}

VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

$\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}$

Rationalize the denominator by multiplying both numerator and denominator by √10:

$\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}$

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

$\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}$

8 0

3 years ago

What’s the volume of the cylinder

FrozenT [24]

Answer:

188.496 mm^3 (or 188.495559 mm^3 if you want to be specific)

Step-by-step explanation:

The radius would be the distance from the middle of the circle on top, we are given that the diameter of the circle is 4mm, the radius is half of that so you would get 2 as the radius (or R). H is the height of the cylinder which is 15 mm, so plugging it in (pi * (2^2) * 15) would get you 188.496 mm^3 (rounded of course).

3 0

3 years ago

Simplify the expression (2x² + 9) (x² - 7)​

Simplify the expression (2x² + 9) (x² - 7)