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Maurinko [17]
3 years ago
11

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

k=\dfrac{5}{4}

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}

So, the constant of variation is \dfrac{5}{4}.

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ioda
1476 is the answer hope this helps
4 0
3 years ago
Let f be a function such that f(x)=2x-4 is defined on the domain.2 is less than or equal to x and x is lss than or equal to 6. T
STALIN [3.7K]
F(x) = 2x - 4
f(2 ≤ x) = 2(2 ≤ x) - 4
f(x ≥ 2) = 2(x ≥ 2) - 4
f(x ≥ 2) = 2(x) ≥ 2(2) - 4
f(x ≥ 2) = 2x ≥ 4 - 4
f(x ≥ 2) = 2x ≥ 0
f(x ≥ 2) = x ≥ 0

f(x) = 2x - 4
f(x ≤ 6) = 2(x ≤ 6) - 4
f(x ≤ 6) = 2(x) ≤ 2(6) - 4
f(x ≤ 6) = 2x ≤ 12 - 4
f(x ≤ 6) = 2x ≤ 8
f(x ≤ 6) = x ≤ 4
8 0
3 years ago
Read 2 more answers
Add and round to the correct number of significant digits: 13.8 + 60 70 73 73.8 74
LenaWriter [7]
When you add all the number together you get 364.6 round it = 365
Because 6 is > 5
4 0
3 years ago
Need this ASAP please help!#2
myrzilka [38]

Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of related line is

y-1=\frac{3-1}{0-(-3)}(x-(-3))

y-1=\frac{2}{3}(x+3)

y-1=\frac{2}{3}(x)+2

Add 1 on both the sides.

y=\frac{2}{3}(x)+2+1

y=\frac{2}{3}(x)+3

The equation of related line is y=\frac{2}{3}(x)+3.

The related line is a dotted line, it means the point on the line does not included in the solution set.

The shaded region is above the line so the sign of inequity is >.

The required inequality is

y>\frac{2}{3}(x)+3

Therefore option 3 is correct.

6 0
3 years ago
If TU = 8, UV = 3x, and TV = x + 10, what is TV?
IgorLugansk [536]

The value of TV is 11.

<h3>What is equation?</h3>

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

TU= 8, UV = 3x and TV = x+10

TV= TU + UV

x +10= 8+ 3x

-2x = -2

x= 1

Hence, TV = 1+10= 11.

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
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