9514 1404 393
Answer:
3. y = 3·4^x
4. y = 24·0.5^x
5. y = 45·0.9^x
Step-by-step explanation:
Each table appears to represent an exponential function. Such a function can be written in the form ...
y = a·b^x
where 'a' is the value of y when x=0, and 'b' is the ratio of the values of y when x=1 and x=0.
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3. a = 3. b = 12/3 = 4
y = 3·4^x
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4. a = 24. b = 12/24 = 0.5
y = 24·0.5^x
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5. a = 45. b = 40.5/45 = 0.9
y = 45·0.9^x
Answer:
8
Step-by-step explanation:
Step by step explanation:
<em>The ratio we have is 2:5. 2 is the value for eggs, while 5 is potatoes. We used 6 eggs. Start by dividing 6 by 2, as that's our ratio half. </em>
<em />
<em>6 / 2 = 3.</em>
<em>We can check that by doing 2 x 3 = 6. </em>
<em />
<em>Since it took 3 times the usual ratio, we have to multiply the other side of the equation too. </em>
<em />
<em>5 x 3 = 15</em>
<em />
Answer:
<u>15 potatoes</u>
Answer:
3/8
Step-by-step explanation:
2 + 3=5, (8/8)-( 5/8) =3/8
Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
Hope this helps! Comment below for more questions.