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Alinara [238K]
3 years ago
7

21 less than four times a

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
8 0

Answer : -16 =n

Step-by-step explanation:

Let n= number

4n -21 = 6n +11

Subtract 4n from each side

4n-4n -21 = 6n-4n +11

-21 = 2n+11

Subtract 11 from each side

-21-11 = 2n

-32 = 2n

Divide by 2

-32/2 = 2n/2

-16 =n

MissTica3 years ago
4 0

Answer:

-16 =n

Step-by-step explanation:

Let n= number

4n -21 = 6n +11

Subtract 4n from each side

4n-4n -21 = 6n-4n +11

-21 = 2n+11

Subtract 11 from each side

-21-11 = 2n

-32 = 2n

Divide by 2

-32/2 = 2n/2

-16 =n

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4 years ago
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Antoine is making a banner in the shape of a triangle . He wants to add a decorative border around the edges. How long will the
LekaFEV [45]

The border will have to be 33b - 8

Step-by-step explanation:

Antoine is making a banner in the shape of a triangle

  • He wants to add a decorative border around the edges
  • The length of the three sides of the triangle are 9b + 8, 12b - 8 and 12b - 8

We need to find the length of the border

The length of the border is the sum of the lengths of the three sides of the triangle

∵ The length of one side = 9b + 8

∵ The length of another side = 12b - 8

∵ The length of the final side = 12b - 8

- Add the lengths of the 3 sides to find the length of the border

∴ The length of the border = 9b + 8 + 12b - 8 + 12b - 8

- Add like terms

∴ The length of the border = (9b + 12b + 12b) + (8 - 8 - 8)

∴ The length of the border = 33b - 8

The border will have to be 33b - 8

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

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4 0
4 years ago
2 ⋅ √ 2 + √ 8 - simplify
Ivanshal [37]

Answer:

4\sqrt2

Step-by-step explanation:

2\sqrt{2} +\sqrt{8}=2\sqrt{2}+2\sqrt{2}=4\sqrt{2}

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Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,59
Andrej [43]

Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.

<h3>Calculation of down payment</h3>

First, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or balance after deducting vanessa’s down payment = ?

P = Monthly payment = $1,595.85

r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333

n = number of months = 30 * 12 = 360

Substitute the values into equation (1), we have:

PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55

Now, the amount of vanessa’s down payment can be calculated as follows:

Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45

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7 0
2 years ago
12. F(x) = 4x squared
Ymorist [56]

Answer:

y-intercept: y=0

axis of symmetry: x=0

vertex: (0,0)

Step-by-step explanation:

To find the y-intercept, set x = 0 and solve for y.

I am assuming f(x) = y

y=4x^2

y=4(0)^2

y=0

The y-intercept of the equation is y = 0.

Now, for the axis of symmetry, you need the equation x=\frac{-b}{2a}

In an equation.. y=ax^2+bx+c

In this case, there is only an a, so plug in the values into the equation.

x=\frac{0}{2(4)}

x=0

The axis of symmetry is x = 0.

To find the vertex, change the format of the equation from standard form to vertex form.

Vertex form: y=a(x-h)^2+k

The vertex is (h,k)

y=4x^2 = 4(x+0)^2+0

(h,k)=(0,0)

The vertex in this case is (0,0).

Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!

Hope this helped you!

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3 years ago
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