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cestrela7 [59]
2 years ago
5

Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t

o enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is
Mathematics
2 answers:
Viefleur [7K]2 years ago
10 0
(1/2 ,5) hope this helped
PolarNik [594]2 years ago
5 0

Answer:

1/2,5

Step-by-step explanation:

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Dana’s parents add $2 to her savings account for every $20 she puts in the account.
a_sh-v [17]

Answer:

A) p = \frac{1}{10} d

Step-by-step explanation:

20(which is d) x \frac{1}{10} = 2 (which is p)

cross checking always helps!

7 0
2 years ago
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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the
Schach [20]

Answer:

Maybe its A

Step-by-step explanation:

95%sure

7 0
2 years ago
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Which statements are true of the graph of h(x) = RootIndex 3 StartRoot x minus 4 EndRoot? Check all that apply. The domain of h(
Nastasia [14]

True statements:

The domain of h(x) is the set of all real numbers.

The range of h(x) is the set of all real numbers

Step-by-step explanation:

The function given in this problem is

h(x)=\sqrt[3]{x-4}

Now let's analyze the statements given:

- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.

- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as x \rightarrow +\infty, then y \rightarrow +\infty, and as x \rightarrow -\infty, then y \rightarrow -\infty, and since there are no points of discontinuity in the function, this means that it can take any value of y.

For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.

The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.

The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when x=0, the value of the function is

h(0)=\sqrt[3]{0-4}=\sqrt[3]{-4}

which is different from 4.

Learn more about domain and range:

brainly.com/question/7128279

brainly.com/question/9607945

brainly.com/question/1485338

#LearnwithBrainly

4 0
2 years ago
Read 2 more answers
Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
My name is Ann [436]

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

<u>Step-by-step explanation:</u>

We have , The given expression as Three-fourths x = negative 6  , which can be written as \frac{3}{4} (x) = -6 . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's  \frac{3}{4} , Let's make coefficient of x  as 1 by multiplying both side of equations by 4/3:

\frac{3}{4} (x) = -6

⇒ \frac{3}{4} (x) = -6

⇒ \frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )

⇒ x = -6(\frac{4}{3} )

⇒ x = -2(4)

⇒ x = -8

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

7 0
2 years ago
Read 2 more answers
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