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2 years ago

Factor -7v^2-25v-12 show steps

2 answers:

7 0

$- 7 {v}^{2} - 25v - 12 \\ = - 7 {v}^{2} - 21v - 4v - 12 \\ = - 7 v (v + 3) - 4(v + 3) \\ = ( - 7v - 4)(v + 3) \\ = - (7v + 4)(v + 3)$

34kurt2 years ago

3 0

(v-4) ( 7v+3) is the answer

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Please help me with this question ASAP

valentina_108 [34]

Answer:

$volume \: = \: \frac{1}{2} \times 6 \times 7 \times 16 \\ = 896$

Hope it helps

5 0

2 years ago

Solve 729 s-⁵ = 3² (1-s) for S.

sweet [91]

Answer:

No real solutions.

Step-by-step explanation:

729s^-5 = 729/s^5

729/s^5 = 3^2(1-s) = 9(1-s)

729=9(1-s)(s^5)

(1-s)(s^5)=81

s^5-s^6=81

Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.

5 0

2 years ago

How many real-number solutions does the equation have?

nevsk [136]

If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120 > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution

3 0

3 years ago

Each rectangle has its area written inside and the expression mod

dangina [55]

Answer:

Length of the boxes are 17 in, 35 in, 17 in.

Step-by-step explanation:

The given question is incomplete: please find the complete question in the attachment.

A). From Box - (1)

Area of the box = 289 in.²

Expression that denotes the area of the box = 36x² - 12x + 1

So, 36x²- 12x + 1 = 289

(6x)² - 2(6)x + (1)² = (17)²

(6x - 1)² = (17)² [ Since (a² - 2ab + b²) = (a - b)²]

Given box is a square having sides = (6x - 1) in.

∵ (6x - 1)² = 17

⇒ 6x = 18

⇒ x = $\frac{18}{6}$ = 3

Now length of the sides = (6x - 1) = 17 in.

B) Box - (2)

Similarly, 25x²- 50x + 25 = 1225

(25x² - 50x + 25) = (35)²

(5x - 5)² = (35)²

5(x - 1) = 35 ⇒ x = 8

Here length of one side of the box is 5(x - 1) = 5(8 - 1) = 35in.

C). Box - (3)

49x² - 56x + 16 = 289

(7x)² - 2×(7x)(4) + 4²= (17)²

(7x - 4)² = (17)²

Length of each side = (7x - 4) in.

From, (7x - 4)² = (17)²

7x - 4 = 17

⇒ x = $\frac{21}{7}$

⇒ x = 3

Therefore, length of each side of the box = (7x - 4) = 17 in.

6 0

2 years ago

A carton has a length of 2 2/3, width of 1 1/3, and height of 1 1/2 feet. What is the volume of the carton?

Oksanka [162]

14/6 fourteen sixths
2 2/6 two and two sixths
simplified 2 1/3 two and a third
all u do is multiply L*W*H

hope this helps

5 0

2 years ago