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2 years ago

Which equation represents the solution of the linear equation - 4x + 5 = 9?

Mathematics

2 answers:

Dahasolnce [82]2 years ago

7 0

4x+5=9
4x=9-5
4x=4
Divid both and you get 1 so the answer is x=1

Ludmilka [50]2 years ago

5 0

The answer is C. C=-1

-4(-1)= 4 a negative times a negative is positive
4+5 is 9

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Anastaziya [24]

Answer:

7/2<x<6

Step-by-step explanation:

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3 years ago

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

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3 years ago

A rope is swinging In such a way that the length of the arc traced by a knot at its bottom end is

Sati [7]

Answer:

13.6 ft

Step-by-step explanation:

The geometric sequence of arc lengths can be described by ...

f(n) = a·b^n

We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):

20 = a·b^3

12 = a·b^7

Then ...

12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5

We want the 6th term, which we can get from the 7th term by multiplying by b^-1.

b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622

Then the 6th swing had an arc length of ...

f(6) = f(7)·b^-1

f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft

3 0

2 years ago

Find the surface area of<br> this triangular prism.<br> 20 cm<br> 16 cm<br> 9 cm<br> 12 cm

gogolik [260]

Answer:

the formulaA= 12BH is use to know the surface area of the triangle prism

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3 years ago

A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. Write a

timama [110]

Answer:

x + y = 180

and,

x = 3y

Step-by-step explanation:

Data provided in the question:

Total area of the farm = 180 acre

x represents the acre in which corn is planted

y represents the acre in which wheat is planted

Thus,

Area of corn + Area of wheat = Total area of farm

x + y = 180 ................. (1)

also,

From the statement, farmer wants to plant three times as many acres of corn as wheat

we can conclude

Area of corn = 3 times the area of wheat

x = 3y ................(2)

So, we have system of linear equations that represent the situation as

x + y = 180

and,

x = 3y

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3 years ago