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Nadusha1986 [10]
3 years ago
10

For f(x)=4x+1 and g(x)=x^2-5 find (f-g)(x)

Mathematics
2 answers:
Marrrta [24]3 years ago
6 0

f(x)=4x+1,\ g(x)=x^2-5\\\\(f-g)(x)=f(x)-g(x)\\\\\text{Therefore}\\\\(f-g)(x)=(4x+1)-(x^2-5)=4x+1-x^2+5=-x^2+4x+6

almond37 [142]3 years ago
4 0

Answer:

x^2+4x-4

Step-by-step explanation:

This guy made me miss it so it gave me the answer

APEX

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Miguel saved $355 in 5 weeks. He saved equal amounts of money each week. How much money would he save in 15.5 weeks ?
Andrei [34K]

Answer:

A

Step-by-step explanation:

$355:5

$355 divided by 5=$71

5 divided by 5=1

$71 per week

$71x15.5=$1,100.50

$1,100.50 in 15.5 weeks

7 0
2 years ago
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
3 years ago
Then find the values of x and y?
attashe74 [19]
Y+8=3y
-2y=-8
y=4

104*2=208
360-208=152
152/2=76

x=76°
6 0
2 years ago
Read 2 more answers
You buy 80 of your favorite songs from a Web site that charges ​$0.98 for each song. What is the cost of 80 ​songs? Use mental m
d1i1m1o1n [39]

the songs are approximately 1 dollar each

80 songs times 1 dollar = 80 dollars

7 0
2 years ago
Read 2 more answers
Can someone help me with this question​
Aliun [14]

Answer:  The guage block height is 4.98 m

The base of the right triangle that is formed is 7.3784 m

The last angle in the triangle is 56 degrees

Step-by-step explanation:

Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base.  Now we can use trig (SOHCAHTOA) to find the answaers.

Using sine, we can first find the gauge block height, O (Opposite).  Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.

Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)

O = (8.9)*(0.5592)

O = 4.98 m, the height of the gauge block,

The base of the triangle, A, can be determined with cosine.

Cosine(34) = A/O, or A = Cosine(34)*O

A = (0.82904)*(8.9)

A = 7.3784 m

The sum of all angles in a triangle is 180 degrees.  

180 = X + 34 + 90

X = 56 degrees

5 0
3 years ago
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