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3 years ago

Factor completely 3x^2 − 21

Mathematics

2 answers:

beks73 [17]3 years ago

7 0

When factor 3 out of 3x^2-21
you get 3(x^2-7)

Firdavs [7]3 years ago

5 0

The highest common factor of the two terms is 3, so that goes outside the bracket as 3(____). To get 3x^2, you multiply 3 by x^2, which is your first term in the bracket, and to get -21, you multiply 3 by -7, so your final answer is 3(x^2 - 7). I hope this helps!

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The answer to the nearest tenth is 34.2

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Let n = the number. A number exceeds 45 inequality

blondinia [14]

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3 years ago

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

Ilia_Sergeevich [38]

Answer: 220

Step-by-step explanation:

Children (x): $2

Teens (y): $3, $\frac{3}{4}x$

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Quantity: x + y + z = 570 ⇒ x + $\frac{3}{4}x$ + z = 570 ⇒ 1.75x + z = 570

Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3 $(\frac{3}{4}x)$ + 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950

Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → -4.25x - 5z = -1950

4.50x = 900

x = 200

Teens (y): $\frac{3}{4}x$

y = $\frac{3}{4}(200)$

= $\frac{600}{4}$

= 150

Quantity: x + y + z = 570

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6 0

3 years ago

What’s the geometric mean of 3 square roots of 5 and 5 square roots of 5

navik [9.2K]

Answer:

5√3

Step-by-step explanation:

The geometric mean (GM) of two numbers x and y is the square root of their product.

Thus, the GM of x and y is √(xy).

The GM of 3√5 and 5√5

= √(3√5 × 5√5)

= √[3 × 5 × (√5)²]

= √(3 × 5 × 5)

= √(3 × 5²)

= 5√3

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3 years ago

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aev [14]

Answer:

Step-by-step explanation:

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