3x+4)2−(x−10)2 .

Escolha uma opção:
a. 10x2−4x+116
b. 8x2−4x−84
c. 8x2+44x−84
d. 8x2−44x−84
e. 8x2+116

Some Equations:

6 + x = 27

x + 6 = 27

27 - 6 = x

27 - x = 6

27 = x + 6

27 = 6 + x

There are 11 girls

A system of equations to model this statement is x + (x + 6) = 27.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, There are 6 more boys than there are girls.

Assuming no. of girls to be x, therefore no. of boys is (x + 6).

Mrs. Smith has a total of 26 kids in her class.

∴ x + (x + 6) = 27.

learn more about linear equations here :

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Answer: x=2, y=2, z=3

Step-by-step explanation: I hope this helps!

Step-by-step explanation:

the # means that the answer is ready in my openion i think

Step-by-step explanation:

30÷100×640=192

total income =160+192

=352

weekly sales=?(x)

wage=640

so...

x×0.3+160=640

0.3x=640-160

0.3x=480

x=480÷0.3

x=1600

the weekly sales is 1600

I am just trying...not sure about the answer..just check

Answer:

  hello, okay so im in 6th so this is easy. so

Step-by-step explanation:

figure out what 1 mile is. 1 mile would be 600 divided by 10, which is 60. so 60*15 would be 900. so he would drive 900 miles in 15 hours. :);

Answer:

it would be c

Step-by-step explanation:

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

[tex]5x+4+(-x)-1[/tex]

Remove parentheses: [tex](-a)=-a[/tex]

[tex]=5x+4-x-1[/tex]

Group like terms

[tex]=5x-x+4-1[/tex]

Add similar elements: [tex]5x-x=4x[/tex]

[tex]=4x+4-1[/tex]

Add/subtract the numbers: [tex]4-1=3[/tex]

[tex]=4x+3[/tex]

Answer:

(x,y)=(-10/3+8r/3,4r t 1)

Step-by-step explanation:

乁( •_• )ㄏMe da wuebo escribir todo la explicación

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)[/tex]

[tex]m=\frac{-10-10}{5-\left(-5\right)}[/tex]

[tex]m=-2[/tex]

Using the point-slope form to determine the line equation

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

[tex]y-10=-2\left(x-\left(-5\right)\right)[/tex]

[tex]y-10=-2\left(x+5\right)[/tex]

Add 10 to both sides

[tex]y-10+10=-2\left(x+5\right)+10[/tex]

simplify

[tex]y=-2x[/tex]

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Answer:

a < -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-11 > 1 + a

Step 2: Solve for a

Here we see that any value a smaller than -12 would work as a solution to the inequality.

Answer:

a < -12

Step-by-step explanation:

Answer:

choice D

Step-by-step explanation:

Answer:

3 3/4 in 1 hour

Step-by-step explanation:

Divide

5/4 ÷ 1/3

15/4

3 3/4 per hour

Answer:

256 cm^2

Step-by-step explanation:

All of the sides of the square are equal so to calculate the area we do side times side.

16*16 = 256

cm^2 is the unit for this question

Answer: My buy Justin is cracked at fortnite my guy...

Step-by-step explanation:

Answer:

10:30 and 17:51

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

we can write the 4-digit PIN as ABCD

A = factor of 10 so,

A = 1, 2 ,5 (3 possible number or we can write n(A) = 3

B and C are number from 0 - 9 so each have 10 possible number n(B) = 10 and n(C) = 10

D makes the whole number cannbe divide by 2. it means that D must even number 2,4,6,8 or 0. so there are 5 possible number n(D) = 5

so to find how many different sets we just multiply all possible number

n(A) x n(B) x n(C) x n(D)

3 x 10 x 10 x 5 = 1500 different sets

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

A

Step-by-step explanation:

i think

Answer:

4x-11

Step-by-step explanation:

1. Distribute

6x+21-2x-10

2. Subtract the same numbers

3. You have your answer.

Answer:4x+11

Step-by-step explanation:

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

The given equation are:

3x + 4y = 8

and 6x – 2y = 9

(1)

(2)

Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have

3x + 4y = 8

12x – 4y= 18

(3)

(4)

Now, adding the above equations, we

have

15x 26

= 26 15

Now, substituting the value of x in equation (3), we have

3(25) + 4y=8

y=1

Answer:

Multiply the bottom equation by 2.

Step-by-step explanation:

A.P.E.X 2021

Answer:

??? can you explain it better

Step-by-step explanation:

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

Answer:

28.67

Step-by-step explanation:

Answer:

The following statements are true

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Missing options

(2)(6) > (–2)(2)

6/2 < -2/2  

(–2)(6) > (–2)(–2)

6/-2 < -2/-2

(2)(6) < (–2)(2)

6/2 > -2/2

Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.

For the first option:

6 > -2

Multiplying both sides by 2 will not reverse the inequality sign

Hence 2(6)>2(-2) is true since the inequality was retained.

For the second option:

6/2 < -2/2  

Dividing both sides by 2 will not reverse the inequality sign

Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2  . Hence this expression is false

For the third option:

(–2)(6) > (–2)(–2)

Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE

For the fourth option

6/-2 < -2/-2

Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE

For the fifth option:

((2)(6) < (–2)(2)

Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE

For the sixth option:

6/2 < (–2)/2

Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE

Answer:

64

Step-by-step explanation:

Here, we want to know the sum of the next two terms

We need to get the pattern first

The difference between the first two numbers is 49 (7^2)

next two is 36 (6^2)

next two is 25 (5^2)

next two is 16 (4^2)

next two will be 3^2 = 43-9 = 34

next will be 2^2 = 34-4 = 30

So the sum here is 30 + 34 = 64

=================================================

Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

I'll refer to them as equation (1) through equation (4) in that order above.

--------------

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

--------------

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

---------------

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

----------------

We found the following conversions:

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations

(a) Super Sally and Lazy Petunia

Represent their earnings with the first letters.

So, we have:

[tex]\mathbf{L = \frac 12S}[/tex] -- number of days

[tex]\mathbf{20L + 57S= 7733}[/tex] --- the total earnings

Make S the subject in [tex]\mathbf{L = \frac 12S}[/tex]

[tex]\mathbf{S = 2L}[/tex]

Substitute 2L for S in [tex]\mathbf{20L + 57S = 7733}[/tex]

[tex]\mathbf{20L + 57 \times 2L = 7733}[/tex]

Expand

[tex]\mathbf{20L + 114L = 7733}[/tex]

Add

[tex]\mathbf{134L = 7733}[/tex]

Divide both sides by 134

[tex]\mathbf{L = 57.7}[/tex]

From the options, the closest to 57.7 is 60.

Hence, the number of days that Petunia worked is closest is 60

(b) 4 digit even numbers

The digits are given as: 0, 1, 5, 6, 7, 8 and 9

To create a 4-digit number, the first digit cannot be 0.

So, the first digit can be any of the remaining 6

Because, it is an even number, the number can only end with 0, 6 or 8

So, the last digit can be any of the 3

Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.

So, the number of digits is:

[tex]\mathbf{n =6 \times 3 \times 5 \times 4}[/tex]

[tex]\mathbf{n =360}[/tex]

Hence, the number of digits is (d) 360

(c) The value of 28^983 x 98^984/14^2948

Rewrite the expression as:

[tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex]

Express all number as a base of 14

[tex]\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }[/tex]

Apply law of indices

[tex]\mathbf{14^{2 \times 983+7 \times 984-2948}}[/tex]

Evaluate all products

[tex]\mathbf{14^{1966+6888-2948}}[/tex]

Evaluate the exponent

[tex]\mathbf{14^{5906}}[/tex]

Hence, the result of [tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex] is [tex]\mathbf{14^{5906}}[/tex]

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Answer:

i forgot how to do this

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12