The difference between a number 12 is 20

Answer:

Step-by-step explanation:

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

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

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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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:

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

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:

Algebraic equation ; 2x+24 =49

x = 12.5

Step-by-step explanation:

Let the unknown number be x

[tex]2(x) +24 =49\\\\2x +24 =49[/tex]

Collect like terms and simplify

[tex]2x =49-24\\2x =25\\[/tex]

Divide both sides of the equation by 2

[tex]\frac{2x}{2} = \frac{25}{2} \\\\x = 12.5[/tex]

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

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:

x=-5

Step-by-step explanation:

x=10/5 - 7

x=2-7

x=-5

Answer:

Between the first option and the last option.

Step-by-step explanation:

first choice: c, a, d, b, e

last/fourth choice: a,c,d,b,e

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:

-3

mike's final position relative to the ground is 3 feet's underground

Step-by-step explanation:

We take positive value when he is above the ground and then take negative value when he is below or underground

6 feet's underground = -6

He climbs up 14 feet = +14

He climbs down 11 feet = -11

We are required to find his last position relative to ground level

= -6+14-11

= (-6) + (-11) + 14

= -17 + 14

= -3

So we have it that mike's final position relative to the ground is 3 feet's underground

Answer:

the answer for number 38 is H

Answer:

00304761

Step-by-step explanation:

Answer:

49.9

Step-by-step explanation:

335.5 minus 105.6 minus 180 = 49.9

Answer: 0.81

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

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:

it transformed each point 2 units to the left and 10 units down.

function notation; f(x)= (2+x) -10

Step-by-step explanation:

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:

$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:

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:

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:

149

Step-by-step explanation:

z = 7 and w = 10

Equation:

7z + 10w

Substitution:

49 + 100

Answer:

149

Hope this helps :)

The required value of the given expression at z = 7 and w = 10 is given as 179.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
z = 7 and w = 10

Now put these values in the given expression,
= 7z + 10w

= 7 × 7 + 10 × 10
= 49 + 100
= 149

Thus, the required value of the given expression is given as 179.

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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:

[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.

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.