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arsen [322]
3 years ago
5

Part 7 math work 10th-grade work

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

x>11 is the solution to both equations.

Step-by-step explanation:

I apologize for late response I've been busy lately. Anyways here ya go! :

From what I understand it wants us to solve "9x-4>95" so that's what I'll do.

add 4 to each side

9x>99

divide each side by 9

x>11 is the solution to 9x-4>95

For 4x+10>54

subtract 10 from each side

4x>44

divide each side by 4

x>11 is the solution to 4x+10>54

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How much do you need to subtract from 87/10 to make 8
strojnjashka [21]

Answer:

i feel like you need 76 from the 87

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
3 years ago
Read 2 more answers
3x + (-2 + 4x)<br> X = 5
KATRIN_1 [288]
3(5)+(-2+4(5))
15+(-2+20)
15+(18)
15+18
=33
7 0
3 years ago
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Find the product.<br><br> (r + s)2
mario62 [17]
When you've got a squares bracket, this simply becomes the bracket twice, therefore, (r+s)2 becomes (r+s)(r+s)
You've then go to use FOIL, and this gives you r^2+rs+sr+s^2, and this cannot be simplified any further.
Therefore, the product of this is r^2 + s^2 + rs + sr
Hope this is what you're looking for :)
3 0
3 years ago
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