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I am Lyosha [343]
3 years ago
13

Which equation does NOT represent direct variation? A. Y=x/21 B. y/x=5/8 C. y-3= 3x D. y-5x=0

Mathematics
2 answers:
Serjik [45]3 years ago
6 0
The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
galben [10]3 years ago
6 0
Direct variation means y=kx no other terms so the answer is c because y= 3x+3
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For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4
galina1969 [7]

Given:

Given the inequalities:4

\begin{gathered} 4x+3>0 \\ 9x-5

Required: Identify the inequality in which x = 8 is a solution.

Explanation:

Substitute 8 for x in each inequality and check whether it satisfies the inequality.

Consider 4x + 3 > 0.

4\cdot8+3=35>0

So, x = 8 satisfies the inequality 4x + 3 > 0.

Consider 9x - 5 < 100.

9\cdot8-5=67

So, x = 8 satisfies the inequality 9x - 5 < 100.

Consider x + 4 ≤ 10.

8+4=12>10

So, x = 8 not satisfies the inequality.

Consider 72 ÷ x ≥ 4.

72\div8=9\ge4

So, x = 8 satisfies the inequality.

Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.

5 0
11 months ago
there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater​
natka813 [3]

Answer:

600 seats

Step-by-step explanation:

We know there is 120 seats on a balcony and that is   \frac{1}{5}   of the total seats, we want to find the total number of seats so,

120 seats    =      \frac{1}{5}

We know that a whole fraction sums to 1 so for example   \frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1

120 seats    =      \frac{1}{5}

Multiply  both sides to make it a whole fraction

600 seats =     \frac{5}{5} =1

So if there is 120 seats and that number is only    \frac{1}{5}    of the total number of seats then the total number of seats is 600

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 300 feet. The width of the rectangle is 10 feet more than the length. What is the width of the r
gavmur [86]
300 = 2(x + x + 10)
300 = 2(2x +10)
300 = 4x + 20
4x = 280
x = 70
x + 10 = 80
width = 80ft
answer <span>D) 80 feet</span>
7 0
2 years ago
What is the 38th term of 459,450,441,..
galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

a_{13}=351

Step-by-step explanation:

Given the sequence

459,450,441,..

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

450-459=-9,\:\quad \:441-450=-9

so

d=-9

The first element of the sequence is

a_1=459

so the nth term will be

a_n=-9\left(n-1\right)+459

a_n=-9n+468

Putting n=38 to find the 38th term

a_n=-9n+468

a_{13}=-9\left(13\right)+468

a_{13}=-117+468

a_{13}=351

Therefore, the 38th term of 459,450,441,.. will be:

a_{13}=351

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vitfil [10]

Answer:

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Step-by-step explanation:

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3 years ago
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