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3 years ago

Solve -3x + 12 < 18 help-

Mathematics

2 answers:

Colt1911 [192]3 years ago

7 0

Answer:

x>−2

Step-by-step explanation:

−3x+12−12<18−12

−3x<6

Step 2: Divide both sides by -3.

−3x

−3

Mademuasel [1]3 years ago

6 0

X>-2 I’m pretty sure this is right. Have a great day!

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A country's population in 1993 was 116 million.

labwork [276]

Answer:

124 million in 2007

Step-by-step explanation:

This is a proportion match question, we consider 121-116 to represent a 9 year change = 5 rate of change per 9 years. We need to find one year so we divide 5/9=0.55 per year growth. =2002- 2007= 0.55 million x 5 = 2.8million growth add 121 million = 121 =123.8 in 2007 = 124 million to nearest m.

7 0

3 years ago

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

Debora [2.8K]

Write a recursive and explicit formula for each option.

The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = $a_{n-1} *2$

=> explicit an = 0.05* $2^{n-1}$

The Gaineys

Start their savings by saving $10 on the first day and then $10 each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = $a_{n-1} +10$

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

8 0

3 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengt

alukav5142 [94]

Answer:

Option E.

Step-by-step explanation:

Let the intended length of Rebecca's swimming is = x units

and we assume the length of the pool = l units

Now it is given in the question that " She covers one fifth of her intended distance "

That means distance covered = $\frac{x}{5}$

" After swimming six more lengths of the pool she had covered one quarter of her intended distance"

So $\frac{x}{5}+6(l)=\frac{x}{4}$

$6l=\frac{x}{4}-\frac{x}{5}$

$6l=\frac{x}{20}$

x = 20×(6l)

x = 120l

Therefore, Rebecca has to complete 120 lengths of the pool.

Option E is the answer.

4 0

3 years ago

Find the coordinates of point z such that the ratio of fz to zd is 5;3

Vilka [71]

The point such that the coordinate is 5;3 is (14, 0)

<h3>Midpoint of coordinates using ratio</h3>

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2,}

Given the coordinate of G and D on the line as G(5, 0) and D(1,0)

Since there is no y-axis, hence;

x = 5(5)+1(3)/2

x = 25+3/2

x = 28/2

x =14

Hence the point such that the ratio is 5;3 is (14, 0)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

8 0

2 years ago