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zysi [14]
3 years ago
9

Write the ratio of 8 apples to 4 oranges in 3 different ways.

Mathematics
2 answers:
Naddika [18.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

The three ways to write a ratio is:

8/4

8 to 4

8:4

The ratio in simpliest form is 2/1

You would divide each "side" by 4

uranmaximum [27]3 years ago
3 0
8 : 4
16 : 8
4 : 2

Simplest:
2 : 1
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Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F
Svet_ta [14]

Answer:

A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36

Step-by-step explanation:

The equations are:

y = x^{2} + 2x + 3

y = 2x + 12

The two graphs intersect when:

x^{2} + 2x + 3 = 2x + 12

x^{2} = 0

x_{1}  = 3\\x_{2}  = -3

To find the area under the curve for the first equation:

A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx

To find the area under the curve for the second equation:

A_{2} = \int\limits^3__-3}{2x + 12} \, dx

To find the total area:

A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx

Simplifying the equation:

A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).  

3 0
3 years ago
Can someone help me with #19
zlopas [31]

Answer:

XZ,X(-10,9)

Y(-4,8)

is

X2,YZ(14-1)=12

8 0
3 years ago
3^3x+1= 81<br> Solve the exponential function
Reil [10]

Answer:

x=1

Step-by-step explanation:

3^ (3x+1) = 81

Rewrite 81 as a power of 3

3^4

3^ (3x+1) = 3^4

Since the bases are the same, the powers are the same

3x+1 =4

Subtract 1 from each side

3x+1-1 =4-1

3x=3

Divide by 3

3x/3 = 3/3

x =1

8 0
3 years ago
The sum of two numbers is 17, and their difference is 29. What are the two numbers?
serious [3.7K]
X + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y 
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y 
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6

6 0
3 years ago
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Suppose you buy 1.25-pound package of ham at $5.20 per pound.How much money did you spend
MA_775_DIABLO [31]
You spent $6.50 on the ham
5 0
3 years ago
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