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Oksi-84 [34.3K]
3 years ago
9

I need help with numbers 6 through 8

Mathematics
1 answer:
arsen [322]3 years ago
6 0
Done that!!!! check in their corresponding answer box.
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2.1(0.2x-1.4)=1.3(0.4x—3.5)<br><br> Pls help.
Tresset [83]

Answer:

x=161/10 =16.100

Step-by-step explanation:

Combine Like Terms

3 0
3 years ago
Read 2 more answers
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
Which is the equation of the line with slope 0 passing through the point (-3,-1)?
madreJ [45]

When a line has a slope of zero it means that it is horizontal. This means that all the x values have the same y values. In this case it means that the y value is always -1.

The equation for this line is...

y = -1

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
2 years ago
Read 2 more answers
A basketball court has a rectangular shape with a length of 94 feet and a width of 50 feet. Janet made two scale models if the r
Irina-Kira [14]

Answer:

Step-by-step explanation:

Note that there are two scale models with each of ratio of 1/2 and 1/16 respectively.

For the first model, the dimension will be as follows:

Length/2 by width/2

94/2 by 50/2 = 47 feet by 25 feet.

For the second model, the dimension will be as follows:

Length/16 by width/16

The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.

Since we are to solve for the area of the smallest scale model which is

5.875 feet by 3.125 feet.

Hence, area (A) = L× W

=5.875 × 3.125 feet.

= 18.359ft^2

4 0
3 years ago
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.
lbvjy [14]
Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)
7 0
3 years ago
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