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Shkiper50 [21]
3 years ago
10

Lola spends 1/3 of her allowance on movies she spends $8 per week at the movies wright and solve an equation to determine Lola's

weekly allowance.
Mathematics
2 answers:
Marizza181 [45]3 years ago
7 0
8 divided by 1/3 is equivalent to 24. Therefore, her weekly allowance is $24.00. I hope this helped.
Sveta_85 [38]3 years ago
4 0
$24 is her allowance. 1/3 of her allowance is $8. So you would multiply 8 times 3 because 8 is just 1/3 of her allowance and you want to find her total weekly allowance. 8 x 3 = 24
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Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).
True [87]

Answer: f(2) = 4

Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

Lim x=2 [3f(x) + f(x)g(x)] = 36

g(x) = 2

Limit x=2

[3f(2) + f(2)g(2)] = 36

[3f(2) + f(2) . 6] = 36

[3f(2) + 6f(2)] = 36

9f(2) = 36

Divide both sides by 9

f(2) = 36/9

f(2) = 4

7 0
2 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

     x>2

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
Which expression gives the solutions -5x+2x^2=-6x?(1pt)
irina [24]
This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
2x²=-x
divide both sides by 2
(2x²)/2=-x/2
x²=-x/2
divide both sides by x
(x²)/x=-x/(2x)
x=-1/2
the answer is x=-1/2
8 0
3 years ago
PLEASE ANSWER AS QUICKLY AS POSSIBLE!!
Romashka [77]

Answer:

y=-3x-3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price
Novay_Z [31]

Answer:

$73

Step-by-step explanation:

hope it helps.have a good day.

6 0
2 years ago
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