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3 years ago

Graph for the quadratic formula f(x) = (x - 3) ^2 +5

Mathematics

1 answer:

aksik [14]3 years ago

6 0

Please see the attached graph to see f(x) = (x - 3) ^2 +5 graphed.

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During the two hours of the morning rush from 8 a.m. to 10 a.m., 100 customers per hour arrive at the coffee shop. The coffee sh

Anastaziya [24]

So, 40 Customers are waiting at 10 A.M.

According to statement

Number of customers arrives at coffee shop per hour = 100

Capacity of shop for per minute per customer = 0.8 minute

Capacity of shop for customers per hour = 80

Find number of customers are by

Queue growth rate = Demand - Capacity

Put the values in the formula and find the growth rate

So,

Queue growth rate= 100 - 80 = 20.

Length of queue at 10 a.m. = 2 × 20 = 40.

So, 40 Customers are waiting at 10 A.M.

Learn more about GROWTH RATE here brainly.com/question/1437549

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7 0

1 year ago

Use the distributive property to rewrite the expression 3 (2+11)

kolbaska11 [484]

Answer:

3(2+11) = 3x2 + 3x11

Step-by-step explanation:

4 0

2 years ago

Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr

irina [24]

Answer:

The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

Step-by-step explanation:

As given

Sue buys 5 pieces of fabric.

$Each\ piece\ is\ 1 \frac{7}{10}\ yards\ long.$

i.e

$Each\ piece\ is\ \frac{17}{10}\ yards\ long.$

$Total\ length\ of\ fabric\ sue\ buys = \frac{5\times 17}{10}\ yards$

$Total\ length\ of\ fabric\ sue\ buys = \frac{85}{10}\ yards$

In the decimal form

Total length of fabric sue buys = 8.5 yards

As given

One yard of the fabric costs $5

$Total\ cost\ of\ fabric\ sue\ buys = 8.5\times 5$

= $ 42.5

Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

5 0

3 years ago

Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.

Over [174]

Answer:

y = $8(-\frac{1}{2})^x$

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points $(4, \frac{1}{2})$ and (3, -1)

For the point $(4, \frac{1}{2})$ ,

$\frac{1}{2}=a(b)^4$ ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

$\frac{\frac{1}{2}}{-1}$ = $\frac{a(b)^4}{a(b)^3}$

$-\frac{1}{2}=b^{(4-3)}$

$-\frac{1}{2}=b$

From equation (2)

-1 = $a(-\frac{1}{2})^3$

-1 = $-\frac{1}{8}a$

a = 8

Therefore, equation of the exponential function will be,

y = $8(-\frac{1}{2})^x$

4 0

2 years ago

The perimeter of a rectangle is 40 cm. The length is 14 cm. Let x = width of the rectangle. Ravi says he can find the width usin

Usimov [2.4K]

Answer:

Divide both sides by 2

Step-by-step explanation:

We have the equation

2(x + 14) = 40

We divide both sides by 2

2(x + 14) = 40/2

x + 14 = 20

x = 20 - 14

x = 6

Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2

3 0

3 years ago