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Minchanka [31]
3 years ago
13

What is the constant of proportionality for the relationship in this table? Please answer is you know the solution. Thx

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:4

Step-by-step explanation:use https://www.cymath.com/

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Find the inverse of the function f(x) = (x - 4) 2 - 5 if x ≥ 4.
Serggg [28]
Same here, we do a quick switcharoo on the variables first,

\bf \stackrel{f(x)}{y}=(x-4)^2-5\qquad inverse\implies \boxed{x}=\left( \boxed{y}-4 \right)^2-5
\\\\\\
x+5=(y-4)^2\implies \pm\sqrt{x+5}=y-4\implies \pm\sqrt{x+5}+4=y
6 0
3 years ago
Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than
Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0
3 years ago
The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the
fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0
3 years ago
Which equation is equivalent to 2^4x =8^x-3
aniked [119]

Answer:

4x = 3(x - 3).

Step-by-step explanation:

2^4x = 8^(x-3)

Now 8 = 2^3 so:

2^4x = 2^3(x - 3)   so

4x = 3(x - 3)

4 0
3 years ago
Read 2 more answers
Solve for X. Will give brainliest!
irga5000 [103]

Answer:

2

Step-by-step explanation:

Since triangles ABC and ADE are similar by AA (they share angle A and a right angle), their ratio of sides must be equal. Therefore:

\dfrac{1}{2}=\dfrac{2}{x+2}

Multiply both sides by 2:

1=\dfrac{4}{x+2}

Multiply both sides by x+2:

x+2=4

Subtract 2 from both sides:

x=2

Hope this helps!

3 0
3 years ago
Read 2 more answers
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