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andreyandreev [35.5K]
3 years ago
12

4. The equation of the line on the graph below is a direct variation equation. What is the constant of variation?

Mathematics
1 answer:
choli [55]3 years ago
3 0

\frac{1}{4} → a

the equation is y = mx ( where m is the slope / constant of variation )

calculate m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \frac{1-0}{4-0} = \frac{1}{4}


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A type of cell triples every hour. If there are 5 cells initially, which function can be used to
laila [671]

Answer:

T(t) = 5(3)(t)

Step-by-step explanation:

There are 5 cells initially.

And it triple every hour.

So

T0 =5

T(t) = T0(3t)

Each cell has it's multipling factor because it's Will be multipling by 3 every hour

T(t) = 5(3)(t)

4 0
3 years ago
There are _ total possible outcomes.
Ede4ka [16]

Answer:

20 possible outcomes

Step-by-step explanation:

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2 years ago
Which statement is the if/then conditional statement of the following? Vertical angles are congruent.
FinnZ [79.3K]

An if-then statement must hold under any condition. Let's take it case by case:


A. This one makes sense, and is perfect! If two angles are vertical, then they must be congruent. This holds no matter what. This is your answer.


B. This doesn't hold because Alternate Interior Angles can also be congruent (along with many others). Two angles don't <em>have </em>to be vertical to be congruent.


C. This one is also true because this is the contrapositive of Option A. (Read my reasoning on D to know what a contrapositive is). Therefore, this is correct.


D. This one is the contrapositive of B, which makes it the exact same as B. Thus, this is not the answer. Contrapositive, by the way, just means that it's the inverse and opposite of a given statement. Let's say P is the contrapositive of Q. If this is the case, then if Q is true, P must be true. In our case, Option D is the contrapositive of Option B and since Option B is not true, neither is D.


7 0
2 years ago
F(x)=-x^2+6x+14 vertex
sasho [114]

Answer:

Vertex: (3, 23)

Step-by-step explanation:

a = -1   b = 6   c = 14

x vertex = \frac{-b}{2a}

\frac{-6}{-2}=3

f(x)-x^{2} +6x+14\\f(3) = -(3)^{2}+6(3) + 14 \\f(3)=-9+18+14\\f(3)=23

4 0
3 years ago
Read 2 more answers
A parking meter gives 30 minutes for each quarter and 6 minutes for each nickel
aleksley [76]

Answer:

B as we start with X intercept =0

Step-by-step explanation:

x= 10 x 6 = 60

(v= 1/6x = 6x x 10y) x= 60v

y=10

When x=0 then y = 0 when x= 10 we have 10 minutes each count

So the graph will go up by 10 to 60 on the x axis.

value of nickle=6  and units of 10 nickles have value of 60

But this is a measure of time using nickles for x.

and measure of quarters can then show a pattern of zero each time. y=mc+x = 0 when y=0 =  y=1x0+0 when x =6 and y=0

8 0
3 years ago
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