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sukhopar [10]
3 years ago
8

Celeste drinks at least 8 cups of water each day. So far, she drank 1.5 cups of water.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

You didn't show any graphs.

Step-by-step explanation:

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The cost for 3 basketball lessons is $57.00. Which of the following equations correctly states the relationship between the numb
tatiyna

Answer:

N=57c

Step-by-step explanation:

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2 years ago
A country's population in 1991 was 103 million.
Ostrovityanka [42]

Answer:

it is 2020

Step-by-step explanation:

7 0
3 years ago
The graphs of g(x) = x³- ax² + 6 and h(x) = 2x² + bx + 3 touch when x = 1. Therefore, the tangent to
Olegator [25]

Answer:

(1,\, 10).

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to x. Make use of the power rule to find the following:

g^\prime(x) = 3\, x^2 - 2\, a\, x.

h^\prime(x) = 2\, (2\, x) + b = 4\, x  + b.

The question states that the graphs of g(x) and h(x) touch at x = 1, such that g^\prime(1) = h^\prime(1). Therefore:

3 - 2\, a = 4 + b.

On the other hand, since the graph of g(x) and h(x) coincide at x = 1, g(1) = h(1) (otherwise, the two graphs would not even touch at that point.) Therefore:

1 - a + 6 = 2 + b + 3.

Solve this system of two equations for a and b:

\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}.

Therefore, a = -3 whereas b = 5.

Substitute these two values back into the expression for g(x) and h(x):

g(x) = x^3 + 3\, x^2 + 6.

h(x) = 2\, x^2 + 5\, x + 3.

Evaluate either expression at x = 1 to find the y-coordinate of the intersection. For example, g(1) = 1 + 3 + 6 = 10. Similarly, h(1) = 2 + 5 + 3 = 10.

Therefore, the intersection of these two graphs would be at (1,\, 10).

6 0
2 years ago
Wally chin, the owner of an exxon mobil station, bought a used ford pickup truck, paying $1,900 as a down payment. He still owes
My name is Ann [436]

Down payment of the ford pickup truck = $1,900.

It is said that down payment amount $1,900 owes 75% of the selling price.

Therefore, 100-75 = 25% is the downpayment of total Selling price.

Let is assume selling price is $x.

According to problem,

25% of the selling price equals down payment amount $1,900.

Let us convert above statement into an equation.

25% of x is 1,900.

That is 25% x = 1,900.

25% could be written as 25/100 or 0.25.

So, the above equation would become

0.25x = 1,900.

Dividing both sides by 0.25, we get

0.75x/0.25 = 1,900/0.25

x=7600

So, the selling price would be $7600.

3 0
2 years ago
Read 2 more answers
2/3 k =28•4/9 solve for k
rodikova [14]
The answer is, k=18.
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2 years ago
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