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3 years ago

9

Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the mo

del, approximately how many cups of tea can Christina expect to sell during the eighth hour?

2 answers:

V125BC [204]3 years ago

7 0

Answer: for those asking where the graph is

Step-by-step explanation:

Viktor [21]3 years ago

3 0

Answer:

Where's the graph? I need the graph to answer

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The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.

MAVERICK [17]

Answer:

$a+b+c=10$

Step-by-step explanation:

We are given that the graph of the equation:

$y=ax^2+bx+c$

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (<em>a</em> + <em>b</em> + <em>c</em>).

First, since the graph passes through (0, 5), its <em>y-</em>intercept or <em>c</em> is 5. Hence:

$y=ax^2+bx+5$

Next, since the graph passes through (1, 10), when <em>x</em> = 1, <em>y</em> = 10. Substitute:

$(10)=a(1)^2+b(1)+5$

Simplify:

$5=a+b$

The point (2, 19) tells us that when <em>x</em> = 2, <em>y</em> = 19. Substitute:

$(19)=a(2)^2+b(2)+5$

Simplify:

$14=4a+2b$

This yields a system of equations:

$\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}$

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

$-10=-2a-2b$

Add the two equations together:

$(-10)+(14)=(-2a+4a)+(-2b+2b)$

Combine like terms:

$4 = 2a$

Hence:

$a=2$

Using the first equation:

$5=(2)+b\Rightarrow b=3$

Therefore, our equation is:

$y=2x^2+3x+5$

Thus, the value of (<em>a</em> + <em>b</em> + <em>c</em>) will be:

$a+b+c = (2) + (3) + (5) = 10$

7 0

3 years ago

Ani was told to write the number four and eight hundredths. She wrote

JulsSmile [24]

Answer:

It would be 4.08, so Ani is wrong writing it as 4.8.

Step-by-step explanation:

So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:

0.1 --> 1 Tenth

0.01 --> 1 Hundredth

0.001 ---> 1 Thousandth

With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.

Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.

6 0

2 years ago

2 Original amount: 30

Sidana [21]

Answer:it increase

Step-by-step explanation:

If the o=2and e=30you look at the o and see that 45 is more then 2

6 0

3 years ago

Read 2 more answers

What is 1+1? Very urgent

forsale [732]

Answer:

62

Step-by-step explanation:

anything plus 1 equals 62.

Hope this helps. Have a nice day you amazing bean child.

( jk jk. It's 2)

8 0

3 years ago

After 2 days, the Johnsons had used

salantis [7]

Answer:

11.5 tanks of gas

Step-by-step explanation:

23/2

11.5

6 0

3 years ago