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frozen [14]
3 years ago
11

( –2x – 14x2) – ( 10x – 2) + 2(10x3 – 3)

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:130

Step-by-step explanation:\

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The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.​
Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y

Substitute this into the second equation:

6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575

Multiply both sides by 7

47y=74025

Divide both sides by 47

y=1575

This means...

7x=2(1575)\\7x=3150

Divide both sides by 7

x=450

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

450*12=5400

12 chairs cost 5400.

7 0
2 years ago
Two points have the coordinates (2,3) and (7,9).
antoniya [11.8K]

Answer:

x¹y¹=2,3

x²y²=7,9

ans

prove

and

last

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rhs

7 0
2 years ago
A carpenter designs an A-frame chalkboard. Its support bars form the legs of an isosceles triangle.
ahrayia [7]

angle for triangle is 180°

angle ACB is 75° because it has mention that is an isosceles triangle

So that angle of BAC is 180°-75°-75°=30°

6 0
3 years ago
Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....
lina2011 [118]

Answer:Answer:

\sum\left {{7} \atop {1}} \right -n(3+n)

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as S_n = \frac{n}{2}[2a+(n-1)d]

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 =  \frac{7}{2}[-8+(6)(-2)]\\\\S_7 =  \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70

The sum of the nth term of the sequence will be;

S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n =  \frac{-6n}{2} -  \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)

The sigma notation will be expressed as \sum\left {{7} \atop {1}} \right -n(3+n). <em>The limit ranges from 1 to 7 since we are to  find  the sum of the first seven terms of the series.</em>

3 0
3 years ago
5) Jeff has a set monthly housing budget of $812. If Jeff is in an 18% tax bracket and his
Greeley [361]

Answer:

2.406%

Step-by-step explanation:

28600*18%=5148

$5148-28600=$23,452

$23452/12 months=$1954.33 a month take home

1954.33/812=2.406%

6 0
3 years ago
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