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iragen [17]
3 years ago
7

There are 128 students going on a field trip to pan for gold. If they are going in vans that hold 7 students each, how many vans

are needed? How many students will ride in the van that isn't full?
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
128/7 is roughly 18.3 so you would need 19 vans. 18 of them would fit all 7 so you’d have 126 so the last van would fit 2 students meaning it won’t be full
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The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k
riadik2000 [5.3K]

Answer:

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3      and   g(x) = x² - 6.....(*)

g(x) = x² +3 + k.....(**)

by (*) and (**) : 3+k = -6

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8 0
3 years ago
What is the range of the equation
a_sh-v [17]

The range of the equation is y>2

Explanation:

The given equation is y=2(4)^{x+3}+2

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

y=2 \cdot 4^{x+3}+2

This can be written as y=2^{1+2(x+3)}+2

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

x=2^{1+2(y+3)}+2

Solving for y, we get;

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

Applying the log rule, if f(x) = g(x) then \ln (f(x))=\ln (g(x)), then, we get;

\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)

Simplifying, we get;

(1+2(y+3)) \ln (2)=\ln (x-2)

Dividing both sides by \ln (2), we have;

2 y+7=\frac{\ln (x-2)}{\ln (2)}

Subtracting 7 from both sides of the equation, we have;

2 y=\frac{\ln (x-2)}{\ln (2)}-7

Dividing both sides by 2, we get;

y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}

Let us find the positive values for logs.

Thus, we have,;

x-2>0

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The function domain is x>2

By combining the intervals, the range becomes y>2

Hence, the range of the equation is y>2

7 0
3 years ago
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