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2 years ago

6x – 5 = 37 Please help I need it 98 points Please help

Mathematics

1 answer:

katrin2010 [14]2 years ago

5 0

Answer: X = 7.

Step-by-step explanation: Move all terms that don't contain x to the right side and solve.

I'll go step-by-step.

1. Add 5 to both sides. 6x-(5+5)=37+5

2. Simplify 6x=42

3. Divide both sides by 6. $\frac{6x}{6} =\frac{42}{6}$

4. Then simplify/Divide. 42 / 6 = 7

That's how you get 7!

X = 7

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Answer:

3300 Ghana cedis

Step-by-step explanation:

There are 2000 items, so n = 2000

P = 3/4 * 2000 + 1800 = 1500 + 1800 = 3300 Ghana cedis

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2 years ago

Adelaide paid $35 for a manicure and gave the manicurist a 20% tip.

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She paid $42 dollars in total.

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2 years ago

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2 years ago

Read 2 more answers

Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.

Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

$p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0$ (1)

Where $r_{1}$ , $r_{2}$ and $r_{3}$ are the roots of the polynomial.

If we know that $r_{1} = -1$ , $r_{2} = 0$ and $r_{3} = 6$ , then the polynomial function in factorized form is:

$p(x) = (x+1)\cdot x \cdot (x-6)$ (2)

And by Algebra we get the standard form of the function:

$p(x) = x\cdot (x+1)\cdot (x-6)$

$p(x) = x\cdot (x^{2}-5\cdot x -6)$

$p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

6 0

2 years ago

A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C. The number of seats in

salantis [7]

A=number of seats in section A
B=number of seats in section B
C=number of seats in section C

We can suggest this system of equations:

A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000

We solve this system of equations by Gauss Method.

1      1     1    55,000
1 -1 -1    0
28 16       12    1,158,000

1      1     1    55,000
0 -2    -2    -55,000      (R₂-R₁)
0    12    16     382,000    (28R₁-R₂)

1 1 1 55,000
0    -2 -2    -55,000
0 0     4     52,000 (6R₂+R₃)

Therefore:

4C=52,000
C=52,000/4
C=13,000

-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.

A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.

Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.

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3 years ago