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julia-pushkina [17]
3 years ago
13

Find g(a-2)+3g(2a) if g(x)=x²-5x+8

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

Answer:

13a² - 39a + 46

Step-by-step explanation:

To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.

g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22

3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24

Combine the values to find g(a-2)+3g(2a).

g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46

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David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.
statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0
3 years ago
Which point is not on the graph of the equation y = x2 + 3x - 5. A.(2,5)
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Answer:C

Step-by-step explanation:

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3 years ago
Which number is prime?<br> 85<br> 49<br> 70<br> 31
Citrus2011 [14]

Answer: 31 is a prime number because only 1 times itself equals 31. no other two factors equal 31 as a product.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
X+3/2 + (x-1) = 4/5 ​
tester [92]

Answer:

x = \frac{3}{20}

Step-by-step explanation:

Given

x + \frac{3}{2} + (x - 1) = \frac{4}{5}

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

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20x = 3 ( divide both sides by 20 )

x = \frac{3}{20}

3 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line 2y-3x=8?
Sauron [17]
To do this you need to put it in function form.
Here's the work
2y-3x = 8

2y-3x = 8
+3x +3x
2y = 3x+8
/2. /2
y = 3/2x + 8

To find perpendicular you multiply the slope the the opposite reciprocal.

y = -2/3x + 8
Then the +8 doesn't really matter now
Slope that is perpendicular is -2/3x
6 0
3 years ago
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