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brilliants [131]
2 years ago
12

Please don't answer if you don't know, please!!

Mathematics
2 answers:
Snezhnost [94]2 years ago
7 0

Answer:

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scZoUnD [109]2 years ago
3 0

Answer:

Refer to the attachment

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iogann1982 [59]
Every function is a relation because the numbers have relationships but not every relation is a function because for it to be a function there has to be one y fo every x if any x(input) has more than one y(output) it's not a function
3 0
3 years ago
Determine the exact solution to the following in radians.
Sloan [31]
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = \pi/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7\pi/6
360-3=330 = 11\pi/6
3 0
2 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
PLEASE HELP ME ASAP ILL MARK BRIANLIEST!!!!!!!!! ANSWER THE QUESTIONS AND DO THE STEPS TOO PLEASEE
Anon25 [30]

Answer:

1). t ≥ -\frac{3}{2}

2). k ≥ \frac{16}{3}

3). y < -\frac{1}{2}

4). b > \frac{250}{9}

5). w ≤ 0

Step-by-step explanation:

1). 14(\frac{1}{2}-t)\leq 28

   \frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}

   \frac{1}{2}-t\leq 2

   -t\leq 2-\frac{1}{2}

   -t\leq \frac{3}{2}

   t ≥ -\frac{3}{2}

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

     k ≥ \frac{16}{3}

3). 44y > 11 + 88y - 22y

    44y > 11 + 66y

    44y - 66y > 11

    -22y > 11

    22y < -11

    \frac{22y}{22}

    y < -\frac{1}{2}

4). \frac{7}{9}(b - 27) > \frac{49}{81}

    \frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}

     (b - 27) > \frac{7}{9}

     b > \frac{7}{9}+27

    b > \frac{250}{9}

5). 11w - 8w ≥ 14w

    3w - 14w ≥ 0

    -11w ≥ 0

    w ≤ 0

7 0
3 years ago
Graph the inequality 4x -2y &lt; 8
iris [78.8K]

Mine is pretty rough but hope it helps look at the attached image.

8 0
3 years ago
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