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hjlf
3 years ago
5

What is the value of x that makes the statement true? 8x + 45 = 10x + 69 x =

Mathematics
2 answers:
andreev551 [17]3 years ago
4 0

Answer:

x = -12

Step-by-step explanation:

8x + 45 = 10x + 69

8x = 10x + 24

-2x = 24

x = -12

Sergio039 [100]3 years ago
3 0

Answer: x = - 12

8x + 45 = 10x + 69

⇔ 10x - 8x = 45 - 69

⇔ 2x = -24

⇔ x = -12

Step-by-step explanation:

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Copy the expressions which are polynomials. Give reasons why the remaining are
kupik [55]

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

8 0
3 years ago
I had $5.00. My mom gives me $10.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $5.00. How much money
Sladkaya [172]
You HAD $10 but now you have $150
3 0
3 years ago
What is 3(2x+1)+2(x+3) Help please x
katrin [286]

Answer:

8x + 9

Step-by-step explanation:

Treat the question as 2 separate brackets

First expand 3(2x + 1) :

6x + 3

Then expand 2(x + 3) :

2x + 6

Now add the two answers together and simplify :

= 6x + 3 + 2x + 6

= 8x + 9

hope this helps :)

8 0
3 years ago
Read 2 more answers
Electrical wire is being wound around a drum with a radius of 1.1 meters. How much line (to the nearest hundredth of a meter) wo
Rudik [331]

Answer:

6.81m

Step-by-step explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

theta is the angle subtended by the drum in rotation

r is the radius of the drum

Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

Line of about 6.81metres will be wounded around the drum

7 0
3 years ago
What is the equation of the line that passes through the point (6, 8) and has a slope 1/2
Korvikt [17]

Answer:

y=1/2x+5

Step-by-step explanation:

Plug it into the formula for a point and a slope.

(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))

Y-8=1/2(x-6)

Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.

7 0
2 years ago
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