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cricket20 [7]
3 years ago
13

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Mathematics
2 answers:
Dominik [7]3 years ago
7 0

Answer:

3, and -7

Step-by-step explanation:

First factor the trinomial

y=x2−4x−21

.

Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).

y = (x + 3)(x - 7)

Solving the 2 binomials, we get:

x = -3 and x = 7

trasher [3.6K]3 years ago
6 0

Answer: Its B

A number line going from negative 8 to 8. Closed circles are at negative 3 and 7. The line between the circles is shaded.

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H = -16t² + 64t + 80 (:16)
H = -t² + 4t + 5
/\ = b²-4ac
/\ = 4²-4.(-1).5
/\ = 16+20
/\ = 36
Yv = -/\ / 4a
Yv = -36/4.(-1)
Yv = -36/-4
Yv = 9
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The answer is (C)

Step-by-step explanation:

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Andrea paid $9.99 to join an online music service. If she purchases 12 songs each month at a cost of $0.80 per song, what will b
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7. Factor the expression.<br> 42 - 64
Dmitriy789 [7]

Answer:

-22 = -2^1×11^1

Step-by-step explanation:

Factor the following integer:

-22

Hint: | Is 22 divisible by 2?

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

-22 = -2×11

Hint: | Now try to factor 11. Is 11 divisible by 2?

11 is not divisible by 2 since 11 is odd and 2 is even:

-22 = -2×11 (11 is not divisible by 2)

Hint: | Is 11 divisible by 3?

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

-22 = -2×11 (11 is not divisible by 2 or 3)

Hint: | Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-22 = -2×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-22 = -2×11

Hint: | Express -22 as a product of prime powers.

There is 1 copy of 2 and 1 copy of 11 in the product:

Answer: -22 = -2^1×11^1

3 0
2 years ago
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