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3 years ago

- 3(14 + 10n) -2 = - (4n+7) - 11 PLEASE show all work for brainliest

Mathematics

2 answers:

Lelu [443]3 years ago

4 0

Answer:

n=-1

Step-by-step explanation:

-42-30n -2 = -4n-7-11

-44-30n=-4n-18

-26n=26

n=-1

lesantik [10]3 years ago

4 0

I gotchu :)

-3(14 + 10n) -2 = -(4n+7) -11

-3(14 + 10n) -2 = -4n - 7 - 11

-3*14 + (-30n) -2 = -4n - 18

-42 - 30n - 2 = -4n - 18

-44 - 30n + 18 = -4n - 18 + 18

-26 - 30n = -4n

-26 - 30n + 30n = -4n + 30n

-26 = 26 n

n = -1

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What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will g

irinina [24]

The sum of all positive integers that satisfy the condition as described is; 100

The number set of n is therefore;

n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

According to the question;

If n is odd, then n is a multiple of 5.

The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.

The sum of all positive integers that satisfy the condition is therefore;

1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.

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3 years ago

Graph f(x) = log5 (x-3).

Natali5045456 [20]

Step-by-step explanation:

We want to graph:

$f(x) =\log_{5}(x - 3)$

We first graph the parent function

$g(x) =\log_{5}(x)$

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

$f(x) =\log_{5}(x - 3)$

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

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3 years ago

Which answers show y + 2x < 4x - 3, rewritten to isolate y, and it’s graph?

AnnyKZ [126]

Solving y+2x < 4x-3 for y would lead to y < 2x-3. You subtract 2x from both sides of the original inequality to get to this result.

To graph y < 2x-3, you first graph y = 2x-3 which is a straight line that goes through (0,-3) and (1,-1). This line is a dashed or dotted line as solutions are not found on the boundary. The shaded region is below the dashed/dotted boundary line to indicate where the solution set is.

To summarize: the graph is a dashed line through (0,-3) and (1,-1) with the shading below the dashed line

The answer is between A and B. It will depend on how those graphs look as to which is the final answer.

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3 years ago

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What are two numbers that give a sum of 56 and a product of 72. Please answer as soon as possible!

Harrizon [31]

The numbers are "x" and "y".
We can suggest this equation:
x+y=56
xy=72
We can solve this equation by substitution method.
x+y=56 ⇒x=56-y

(56-y)y=72
56y-y²=72
y²-56y+72=0

Now, we solve this square equatión:

y=[56⁺₋√(56²-4*1*72)] / 2=(56⁺₋√2848)/2
We have two solutions:
y₁=(56-√2848)/2≈1.3167 ⇒x₁=56-y₁≈54.6833
y₂=(56+√2848)/2≈54,6833 ⇒x₂=56-y₂≈1.3167

Therefore the numbers are 1.3167 and 54.6833

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4 years ago

Betsy and Marie both got their haircut on the same day bed she gets her haircut every 28 days and Mary gets her haircut every 35

makkiz [27]

Answer:

140 days until they both get their haircut on the same day again

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Betsy every 28 days.

Mary every 35 days.

Multiples of 28: {0,28,56,84,112,140,...}

Multiples of 35: {0,35,70,105,140,...}

So the lesser common multiple between 28 and 35 is 140.

140 days until they both get their haircut on the same day again

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3 years ago

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