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V125BC [204]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
Lelu [443]2 years ago
4 0

Answer:

the answer is b

Step-by-step explanation:

big boy

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Explain the effect f (x)+k has on the graph if the exponential function f (x) Be specific and use complete sentences for full cr
Masteriza [31]
The +k part of the function takes the original function and translates it straight up k units. It's as simple as that.  If your function is the line f(x) = 3x, then the function f(x) = 3x + 4 moves that first function up 4 units.
7 0
3 years ago
Find the nature of the root
GREYUIT [131]

Answer:

1) Real and same.

2) Real and distinct

3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) \frac{2}{x} + \frac{3}{x} = x - 4

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0
3 years ago
Carl worked six and one-half hours on Monday. He worked eight and two-third hours on Tuesday. How many hours did Carl work in al
Gnoma [55]

Answer: 15 hours and 37 minutes


Step-by-step explanation: 6 and 1/2 hours is 6 hours and 30 mins

8 and 2/3 hours is 8 hours and 67 mins


So 8 hours + 6 hours is 14 hours


Since 67 minutes is over an hour, we're going to take 60 minutes from 67, leaving u with 7 minutes


Add the 60 minutes to the 14 hours and you get 15 hours.


Take the 7 minutes and add it to the 30 minutes and you get 37 minutes.


All together the answer is 15 hours and 37 minutes


7 0
3 years ago
Jasmine by 32 kiwi fruit for $16.How many kiwi can lisa buy if she has $6
zimovet [89]
The way to solve this is take 32/16, and you get 2. This means that you get 2 kiwis per dollar. So, if Lisa has $6, then she can buy 12 kiwis.
5 0
3 years ago
A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track
sdas [7]

Answer:

0.5ms^{-1}

Step-by-step explanation:

Let v be the speed after the collision of both the cars.

Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

500{\times}0.8+300{\times}0=(500+300)v

⇒400+0=800v

⇒400=800v

⇒v=0.5ms^{-1}

Thus, they are moving at the velocity of 0.5ms^{-1}

3 0
3 years ago
Read 2 more answers
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