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Lynna [10]
3 years ago
8

Simplify: 14 + 3k = 6k - 7k

Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
Simplified it is 4k = -14
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The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
DanielleElmas [232]

Answer:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

we have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5)  x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞)  x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

5 0
4 years ago
Read 2 more answers
A boat that is 2 miles offshore from a lighthouse is moving parallel to the coast. The light on the lighthouse is turning at the
Papessa [141]

Answer:

speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

Step-by-step explanation:

Given data:

distance of boat from light house is 2 miles

rate of turning of light is 100 degree per minute

w = 100 degree/min

w = 100 \times \frac{\pi}{180} rad/min

w = 1.745 rad/min

w = 0.0290 rad/sec

speed of movement of light v = w\times r

v = 0.029 \times 1 = 0.029 mile/sec

thus speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

4 0
3 years ago
In one flip of 10 unbiased coins, what is the probability of getting 8 or more heads?
Maru [420]
Correct Answer: 0.0625
6 0
3 years ago
Thi sis the question
jek_recluse [69]

\text{Given that,}\\\\x^2 + \dfrac1{x^2} = 38\\\\\\(i)\\\\\left(x-\dfrac 1x \right)^2 = x^2 + \dfrac 1{x^2} - 2 \cdot x \cdot \dfrac 1x\\\\\\\implies \left(x-\dfrac 1x \right)^2 = 38 -2 = 36\\\\\implies x - \dfrac 1x = \pm\sqrt{36} = \pm 6 \\\\\\(ii)\\\\x^2 + \dfrac 1{x^2} = 38\\\\\\\implies \left(x^2 + \dfrac 1{x^2} \right)^2 = 38^2\\\\\\\implies x^4 + \dfrac 1{x^4} + 2\cdot x^2 \cdot \dfrac 1{x^2} = 1444\\\\\\\implies x^4 + \dfrac 1{x^4} + 2 = 1444\\\\\\

\implies x^4 +\dfrac 1{x^4} = 1444-2 = 1442

7 0
2 years ago
What is 8.33% rounded to the nearest tenth of a percent
Mariana [72]

Answer:

8.30%

Step-by-step explanation:

you look at .3, which is in the tenths place. then you look to the left, if the number is 5 or higher, you round the 3 up, but if the number's lower, you erase all the numbers to the left of the place you want to round at

8 0
3 years ago
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