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3 years ago

Solve & Justify 3(5x + 1) = 18x

Mathematics

2 answers:

Natalija [7]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

First you distribute the 3 to 5x and 1 to get 15x+3=18x

Then you subtract 15x from 18x and get 3x

Lastly you divide 3 by 3 to separate the 3 and x and get x=1.

Goryan [66]3 years ago

5 0

Answer:

x=30

Step-by-step explanation:

Simplify —

(— • x) - 18 = 0

STEP

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

18 18 • 5

18 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 5) 3x - 90

————————————— = ———————

5 5

Pull out like factors :

3x - 90 = 3 • (x - 30)

3 • (x - 30)

———————————— = 0

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3•(x-30)

———————— • 5 = 0 • 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3 • (x-30) = 0

Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solve : x-30 = 0

Add 30 to both sides of the equation :

x = 30

One solution was found :

x = 30

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How do I find the absolute value

pychu [463]

Absolute value of function = - 9 / 3 .

The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3 x = - 9 /4 Hence absolute value = - 9 / 3 .

To learn more on absolute value follow link :

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1 year ago

Write an equivalent expression for 4(a+5)

Drupady [299]

$\huge \boxed{4a+20}$

We can do this using the distributive property, which states that $a(b+c)=ab+ac$ .

Distribute the $4$ to the $a$ and the $5$ . $4a+4(5)$

Multiply. $\displaystyle \boxed{4a+20}$

8 0

3 years ago

Write the functions by the graphs <br> F(x)=<br> G(x)=<br> H(x)=

Alborosie

Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Step-by-step explanation:

All the functions graphed represent the absolute value functions.

Since function g(x) passes through (0, 0) and (1, 1),

Let the equation of a line passing through these points is,

y = mx + b

Slope of the line passing through these points 'm' = $\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}$

m = 1

y-intercept of the line 'b' = 0

Therefore, equation of the line will be,

y = x

And the function representing the two lines (both are the mirror images) joining at the origin will be,

f(x) = |x|

When the parent function is shifted 3 units up, the new function will be

h(x) = |x| + 3

When the parent function is shifted 2 units down,

g(x) = |x| - 2

8 0

3 years ago

Graph the equation (x - 3)2 + (y + 4)2 = 144

Anna007 [38]

It will be a circle with a center of (3, -4) and a radius of 12.

5 0

3 years ago

Read 2 more answers

A direct mail appeal for contributions from a university's alumni is considered effective if more than 15% of the alumni provide

Ymorist [56]

Answer:

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

Step-by-step explanation:

Information given

n=250 represent the random sample taken

X=40 represent the number of people on the alumni mailing list

$\hat p=\frac{40}{250}=0.16$ estimated proportion of people on the alumni mailing list

$p_o=0.15$ is the value to verify

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

3 0

3 years ago