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amm1812
3 years ago
10

Which situation is best modeled by the expression 25 - X

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0
I am gonna go with B
Sarah has driven x miles of a 25-mile trip
the expression 25 - x will tell u how many more miles she has left to drive
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PLEASE HELP I really need help with it:/
Luda [366]

Answer:

  • q = 14

Step-by-step explanation:

<u>We know that:</u>

  • 39 + (4q - 5) = 90°

<u>Solution:</u>

  • 34 + 4q = 90°
  • => 4q = 90 - 34
  • => 4q = 56
  • => q = 56/4
  • => q = 14

Hence, the value of q is 14.

7 0
2 years ago
Read 2 more answers
From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. Wh
Brilliant_brown [7]

Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

Step-by-step explanation:

Volume =  height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x  (30-2x) (30-2x) ---> eq(1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative w.r.t 'x'

dV/dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

dV/dx = 0

so,  4 (3x² - 60x +225)=0

3x² - 60x+225=0   (taking 3 common)

x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

x=15

Or x-5=0

x = 5

if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

7 0
3 years ago
Written equation for y=-2=1 (0,3)
Alika [10]
Is that supposed to be y=-2x+1?
i cannot solve without the proper equation lol 
4 0
3 years ago
(2t–3x)4 expand using binomial theorem​
STatiana [176]
639293!47,behdjdkevejskksnsbwjajMsbdhcifmensbjxocnfndoxold
5 0
3 years ago
X⁴+5x²-6=0 solve for x
Snowcat [4.5K]
Let u = x², then we would have u² + 5u - 6 = 0

From here, we can factor it and get us (u-1)(u+6) = 0

So our solution for u is u = -6 or 1.

Now substitute u back to x².

x² = -6 or 1

x = ±√(-6) or ±√1

Since ±√(-6) is not real number, we ignore it.

Which leave us x = ±√1 = <span>±1

So our real solution is x = -1 or 1.</span>
5 0
3 years ago
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