Given f(x) = 21 - 1, complete the missing values in the table

If 9 − 3x < 54 then the following x > -15 must be true.

Inequalities is an expression used to show the non equal comparison of two or more variables.

Given the inequality:

9 − 3x < 54

Subtracting 9 from both sides of the equation:

9 - 3x - 9 < 54 - 9

-3x < 45

Dividing both sides of the equation by -3:

-3x/-3 < 45/-3

x > -15

If 9 − 3x < 54 then the following x > -15 must be true.

Find more on inequality at: brainly.com/question/241541

Answer:

Yes

Explanation:

1.3/7.8 = 0.167

3/18 = 0.167

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

I hope it helps.

[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]

Answer: 0.152207 %

Step-by-step explanation: divide the amount by the total to get the percentage.

Answer:

9.5

Step-by-step explanation:

If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5

Hello! I hope this helped you. If this is wrong please let me know. Thank you.

Answer:

e = 2

Step-by-step explanation:

7(2e - 1) - 3 = 6 + 6e

14e - 7 - 3 = 6 + 6e

14e - 10 = 6 + 6e

14e - 6e - 10 = 6

8e - 10 = 6

8e = 6 + 10

8e = 16

8e/8 = 16/8

e = 2

Recheck:

7(2e - 1) - 3 = 6 + 6e

7(2(2) - 1) - 3 = 6 + 6(2)

7(4 - 1) - 3 = 6 + 12

7(3) - 3 = 18

21 - 3 = 18

18 = 18 ✅

Answer:

  720 mm²

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

For the given base and height, the area is ...

  A = (40 mm)(18 mm) = 720 mm²

Answer:

Interval Notation (-∞, ∞)

Set-Builder Notation: {x|x ∈ R} (all real numbers = R)

Step-by-step explanation:

I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it

Answer:

2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25  97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)

Step-by-step explanation:

Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00

This is like saying finding Fractions that give you percentages between 50% and 100%

for example:

you could simplify 52/100 and get 31/50

31/50 as a decimal would be 0.52  and 0.52 falls between(0.50 and 1.00) 1/2 and 1

example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9

0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine

If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has

| a b/c| then you can also use it.

or use an online calculator or simplify if you wish

To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.

Answer:

1500

Step-by-step explanation:

we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done

Answer:

First you would divide 12 cars by 3 hours to see how many cars get washed per hour

Then you know that 4 cars get washed in one hour so you multiply it by $5.00 because you want to see how much money they earn in one hour

After you know they earn $20.00 per hour you multiply that by 8 because you want to see how much money they earn in eight hours

So your final answer is $160 for washing cars in 8 hours

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

y = mx + b

"b" is y-intercept

~~~~~~~~~~~~~~~~~~~

Answer:

m = -2

Step-by-step explanation:

Use the slope intercept formula y = mx + b

You would switch the order to get y = -2x + 4 to get it in the correct format.

You can then see that -2 is the slope based off the slope intercept formula

(b = y intercept)

(m = slope)

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum

Answer:

Only option A is correct

Step-by-step explanation:

Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.

Hope this helps :D

Answer:

The total cost of the motorcycle was $5,565.

Step-by-step explanation:

Step-by-step explanation:

if it is a geometric sequence, then

sn = sn-1 × r

with r being the common ratio.

1.

s2 = s1 × r

20 = -40 × r

r = 20/-40 = -1/2

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

-100 = 20 × -1/2 = -10

this is wrong, so, it is not geometric.

2.

s2 = s1 × r

20 = 4 × r

r = 20/4 = 5

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

100 = 20 × 5 = 100

s4 = s3 × r

500 = 100 × 5 = 500

this is all correct, so, it is geometric.

sn = sn-1 × 5

sn = s1 × 5^(n-1) = 4 × 5^(n-1)

3.

s2 = s1 × r

24 = 4 × r

r = 24/4 = 6

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

144 = 24 × 6 = 144

s4 = s3 × r

864 = 144 × 6 = 864

this is all correct, so, it is geometric.

sn = sn-1 × 6

sn = s1 × 6^(n-1) = 4 × 6^(n-1)

5.

s2 = s1 × r

-12 = 3 × r

r = -12/3 = -4

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

48 = -12 × -4 = 48

s4 = s3 × r

-192 = 48 × -4 = -192

this is all correct, so, it is geometric.

sn = sn-1 × -4

sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)

all real numbers except the 90 and 270 because of cosx

[tex]\large\underline{\sf{Solution-}}[/tex]

Given inequation:

[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]

[tex]\sf\longmapsto 8x-2<12x+4[/tex]

[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]

[tex]\sf\longmapsto 8x-6<12x[/tex]

[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]

[tex]\sf\longmapsto -6<4x[/tex]

[tex]\sf\longmapsto 4x>-6[/tex]

[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]

[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]

Therefore:

[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]

Step-by-step explanation:

s1 = 3

s2 = 3×2 = 6

s3 = 6×2 = 12

s4 = 12×2 = 24

s5 = 24×2 = 48

sn = sn-1 × 2 = s1 × 2^(n-1)

s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608

Answer:

$198.72

Step-by-step explanation:

Answer:

  (d)  a1 = 11

Step-by-step explanation:

Put the numbers in the given formula and solve for a1.

  a5 = 176 = a1(r^(5-1)) = a1·r^4

  a7 = 704 = a1(r^(7-1)) = a1·r^6

Dividing a7 by a5 gives ...

  a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4

Then a1 is ...

  a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11

The first term is 11.

Hi, mal :> hehehe

( its [tex]a_{1} = -11[/tex])

Your welcome..... ;]

Answer:

wouldn't that be...24x²?

Answer:

your welcome... hope this helps

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

83x2(twice the height)

Step-by-step explanation:

to make the equation true the value of y must be.

hope it helps.

stay safe healthy and happy.

Answer:

y=-/+9

Step-by-step explanation:

y^2=81

find the square root

y=positive/negative 9

Answer:

  (0, -1)

Step-by-step explanation:

Maybe you're graphing ...

These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).