What ratios can we say are equivalent to 2:9?​

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{-m}{2}[/tex] - [tex]\frac{5}{4}[/tex] ≤ [tex]\frac{5m}{12}[/tex] - [tex]\frac{7}{6}[/tex]

Multiply through by 12 to clear the fractions

- 6m - 15 ≤ 5m - 14 ( subtract 5m from both sides )

- 11m - 15 ≤ - 14 ( add 15 to both sides )

- 11m ≤ 1

Divide both sides by - 11, reversing the symbol as a result of dividing by a negative quantity

m ≥ - [tex]\frac{1}{11}[/tex] → C

Answer:

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

Answer:

C. Perpendicular line through a point off a line (its off not on)  Took the test and got it right

Step-by-step explanation:

Answer:

-396

Step-by-step explanation:

Plug it into a calculator

4 x 33 = 132

132 x -3 = -396

4 x 33 x -3= 132 x -3= -396

Answer: 20 green pencils

Step-by-step explanation:

given data:

cost of red pencils = 3 for 10¢.

cost of green pencils = 2 for 5¢.

cost of blue pencils = 5¢/each.

Greatest number of pencils one can buy for 50¢ By choosi any color is 20pencils which is green

red pencils 50¢ = 15 pencils

green pencils 50¢  = 20 pencils

blue pencils 50¢  = 10 pencils

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(2x-1)=3x+5-x

8x-4=3x+5-x

8x-4=2x+5

6x-4=5

6x=9

x=3/2

Answer: x=1.3

Explanation: Just simplify the equation so there is a variable on one side and a number on the other.

Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

The value of the number will be -9.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The word expression is;

''Three times the sum of a number and seven is increased by ten, the result is four. ''

Now, Let a number be x.

Then, we can formulate the expression as;

3 (x + 7) + 10 = 4

Solve the expression for x as;

3 (x + 7) + 10 = 4

3x + 21 + 10 = 4

3x + 31 = 4

3x = 4 - 31

3x = -27

x = -9

Thus, The value of the number will be -9.

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Answer:

$6650

Step-by-step explanation:

→ Calculate the decimal multiplier

100 - 30 = 70

70 ÷ 100 = 0.7

→ Multiply the decimal multiplier by the cost

9500 × 0.7 = 6650

Answer:

$6,650

Step-by-step explanation:

This is called percentage decrease:

(100 - 30)% = 70%

9500 × 70/100

= $6,650

Answer:

True

Step-by-step explanation:

the parent function f(x) = 1/x has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0

Exact form is N=49/12 mixed number form is N=4 1/12

Step-by-step explanation:you have to simplify both sides and then isolate the variable.

Answer:

n=49/12 or 4 1/12

Step-by-step explanation:

n-5•2/3=3/4

n-10/3=3/4

n=3/4+10/3

n=49/12 or 4 1/12

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

Answer:

it should be 2nd option, 3rd, and 5th.

Step-by-step explanation:

From the given options

options I, III and IV  are Arithmetic sequences.

Given :

we are given with sequences. we need to check which one is arithmetic sequence.

A sequence is arithmetic when the consecutive terms have common difference.

Lets check one by one

[tex]-8.6, -5.0, -1.4, 2.2, 5.8,......\\-5-(-8.6)=3.6\\-1.4-(-5)=3.6\\2.2+1.4=3.6\\[/tex]

Its arithmetic because common difference is same 3.6

2, –2.2, 2.42, –2.662, 2.9282, …

-2.2-2=-4.2

2.42+2.2=6.62

Its not arithmetic

5, 1, –3, –7, –11, …

1-5=-4

-3-1=-4

-7+3=-4

-11+7=-3

Common difference is -4. So it Arithmetic

–3, 3, 9, 15, 21, …

3+3=6

9-3=6

15-9=6

Its Arithmetic

–6.2, –3.1, –1.55, –0.775, –0.3875, …

-3.1+6.2=3.1

-1.55+3.1=1.55

Its not Arithmetic

So, options I, III and IV  are Arithmetic sequences.

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Answer:

this is a correct answer

Step-by-step explanation:

(f-g)(x) = f(x) - g(x).

When x = 2, f(2) - g(2) = 3(2)^2 + 1 - (1 - 2) = 12 + 1 + 1 = 14.

Answer: 145

Step-by-step explanation:

Answer: 145

Step by step explanation:

Answer: 0.81

Step-by-step explanation: Think about all the way to the 100.

Answer: The equations are y = 4x-3  and y= 3x -1

Step-by-step explanation:

So lets say both equations will have positive slopes. Using that, we can input any slope  and solve for the y intercept using the coordinates.We will use the formula, y=mx + b  where m is the slope and b is the y-intercept

Let's say the slope is 3.

5 = 3(2) + b

5= 6 + b

-6  -6  

b= -1  

We can now come up with the equation, y= 3x -1  

We need to find another equation that will intersect with it at the point (2,5)

For lines to intersect, they need to have different slopes and different y-intercepts.

We need to come up with a new slope, the slope of the second equation could be 4. Now using the formula, use the coordinates so solve for the y intercept.

5= 4(2) + b

5 = 8 + b

-8   -8

b = -3

The equation will be   y = 4x -3  

We now have the equations y=4x -3   and  y = 3x -1  

To find that their solution is (2,5)  substitute one of the y-values into the other and solve for x then solve for y.  

4x -3 = 3x -1

    +3        +3

4x = 3x + +2

-3x   -3x

1x = 2

x = 2  

We know now that the value of x is true because the value of x is 2.Input it into one of the equations and solve for y.

y = 4(2) - 3

y = 8-3

y = 5

The solution is indeed (2,5) .

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]

Required

Solve for x

[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]

Add [tex]\frac{1}{3}[/tex] to both sides

[tex]\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}[/tex]

[tex]\frac{4}{3}x = 9 + \frac{1}{3}[/tex]

Take LCM

[tex]\frac{4}{3}x = \frac{27 + 1}{3}[/tex]

[tex]\frac{4}{3}x = \frac{28}{3}[/tex]

Multiply both sides by [tex]\frac{3}{4}[/tex]

[tex]\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}[/tex]

Evaluate the left hand side

[tex]x = \frac{3}{4} *\frac{28}{3}[/tex]

[tex]x = \frac{28}{4}[/tex]

Divide 28 by 4

[tex]x = 7[/tex]

Answer:

x=7 we are both correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3x+5) = 4(2x - 3)

First expand the terms

That's

6x + 10 = 8x - 12

6x - 8x + 10 = - 12

- 2x + 10 = - 12

Subtract 10 from both sides

That's

- 2x + 10 - 10 = - 12 - 10

- 2x = - 22

Divide both sides by - 2

We have the final answer as

Hope this helps you

Answer:

h(x) = 2x² - 2x - 8

Step-by-step explanation:

Step 1: Write out equation

h(x) = 2(x + 1)(3x - 4)

Step 2: FOIL

h(x) = 2(x² - 4x + 3x - 4)

Step 3: Combine like terms (x)

h(x) = 2(x² - x - 4)

Step 4: Distribute

h(x) = 2x² - 2x - 8

Answer:

the answer is ab

Step-by-step explanation:

you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b

Let me know if this helps :)

Answer:

x=-5

Step-by-step explanation:

x=10/5 - 7

x=2-7

x=-5

The value of the given expression (7m - 2m²n)² = 34,596 at m = -6 and n = 2.

An expression consists of variables, constants, and operators. Based on the number of terms in an expression, they are named linear, binomial, and so on.

The given expression is (7m - 2m²n)²

It is given that m = -6 and n = 2

To evaluate the given expression, the given values are substituted in it.

On substituting these values,

(7m - 2m²n)² = (7(-6) - 2(-6)²(2))²

⇒ (-42 - 4(36))²

⇒ (-42 - 144)²

⇒ (-186)²

∴ (7m - 2m²n)² = 34,596

Therefore, the required value of the given expression is 34,596.

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Answer:

[See Below]

Step-by-step explanation:

✦ Solve:

  ✧ -2.6 + 5.8 = 3.2

✦ Sometimes in math simplify could mean just solve and get the smallest version of that number. That's what it means in this case. So the simplified version would be 3.2.

~Hope this helps Mate. Feel free to message me if you need anything.

Answer:105

Step-by-step explanation:

first find f(7)

(7)^2 + 1

=50

then put the answer for f(7) in g of x

2(50) + 5

=105

Answer:

00304761

Step-by-step explanation:

Answer:

the answer for number 38 is H

Answer:

A)

The simplest way to solve A is by checking 1st digit one-by-one.

selecting 1 as 1st digit, we have 2 ways

1324 and 1423

selecting 2 as 1st digit, we have 3 ways

2143, 2314, and 2413

selecting 3 as 1st digit, we have 3 ways

3142, 3241, and 3412

selecting 4 as 1st digit, we have 2 ways

4132 and 4231

=> 2 +3 + 3 + 2 = 10 ways in total.

B)

Use the same strategy as A)

selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}

selecting 9 as 1st digit => 967, 968

selecting 8 as 1st digit => 867, 869

selecting 7 as 1st digit => 768, 769

=> 3 x 2 = 6 ways

selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}

selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560

similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit

=> 5 x 6 = 30 ways

=> 30 + 6 = 36 ways in total

C)

a 7-digit snakelike number starts with digit 9 (the largest digit)

=> 2nd digit is smaller than 9

=> 3rd digit is larger than 2nd digit

=> 4th digit is smaller than 3rd digit

=> 5th digit is larger than 4th digit

=> 6th digit is smaller than 5th digit

=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)

Answer:

r = - 2

Step-by-step explanation:

Use the slope formula to find m then equate to - 1

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)

m = [tex]\frac{-5-r}{9-6}[/tex] = [tex]\frac{-5-r}{3}[/tex]  = - 1 ( multiply both sides by 3 )

- 5 - r = - 3 ( add 5 to both sides )

- r = 2 ( multiply both sides by - 1 )

r = - 2