Solve the equations: x+2(x+1)+3(x+2)=4(x+3)​

Answer:

y = x² - 6x + 9

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (3, 0 ) , then

y = a(x - 3)² + 0

To find a substitute (1, 4) into the equation

4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

y = (x - 3)² = x² - 6x + 9

Hello there!

-6 is the answer.

If we multiply a negative number times a positive number, we will get a positive number.

Hope this helps!

[tex]GraceRosalia[/tex] is here to help

Answer:

18 and 21

Step-by-step explanation:

Answer:

A. -5

Step-by-step explanation:

A zero is the same as the x-intercept, or the point that intersects the x-axis

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

Answer:

The range of x is -5 to +3

Step-by-step explanation:

Answer:

range means the value the x produces.

The range is -8 to zero.

Happy Learning

Answer:

B

Step-by-step explanation:

1) Divide the oz per shampoo bottle by the cost

2) which answer is lower

29.2÷7.99=3.65

13.5÷5.99=2.25

Answer:

18

Step-by-step explanation:

Let the number be x.

1/3 of itself is 1/3 x or x/3.

x = x/3 + 12

3x/3 - x/3 = 12

2x/3 = 12

3/2 * 2x/3 = 3/2 * 12

x = 18

Answer: 18

The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The number is 12 more than 1/3 of itself.

Let the number be 'x'. Then the equation is written as,

x = x/3 + 12

Simplify the equation, then the value of 'x' will be calculated as,

x - x/3 = 12

3x - x = 36

2x = 36

x = 36/2

x = 18

The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

11.2 mi

Step-by-step explanation:

1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 81 from both sides.

Step 3: Take the square root of both sides and round to the nearest tenth.

Therefore, x = 11.2 mi.

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (14,4)² - (9)²

x² = 207,36 - 81

x² = 126,36

x = 11,2mi✔

Answer:

11,895 is what she would save in a year

Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Answer:

• Let's first assign identifications to the equations given:

[tex]{ \rm{8x + 9y = {}^{ - }3 \: - - - \{equation \: (a) \} }} \\ { \rm{6x + 7y = 1 - - - \{equation \: (b) \}}} \\ [/tex]

• There are various methods to solve this system of equation, namely;

1. Graphical method

→ You'll have to draw a graph, demacate it very well following the suitable scale.

→ Get values to plot from both equation (a) and equation (b).

→ Draw respective lines of each equation. The point of intersection of the lines is the answer of the values of x and y.

→ It'll be in coordinate format i.e; (x, y)

2. Substitution method

→ Lemme first consider equation (a)

[tex]{ \rm{8x + 9y = {}^{ - }3 }}[/tex]

• make x the subject of the equation (a):

[tex]{ \rm{8x = - 3 - 9y}} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8}y }} \: { \rm{- - - \{equation \: (c)}} \}[/tex]

→ Considering equation (b) next

[tex]{ \rm{6x + 7y = 1}}[/tex]

• substitute x in equation (b) with x in equation (c)

[tex]{ \rm{6( \frac{ - 3}{8} - \frac{9}{8}y ) + 7y = 1 }} \\ \\ { \rm{ - \frac{9}{4} - \frac{27}{4} y + 7y = 1}} \\ \\ { \rm{ \frac{1}{4} y = \frac{13}{4} }} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]

• then find x using equation (c)

[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y }} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8} (13)}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]

3. Elimination method:

→ Here, we have to align the equations so that if we use addition or subtraction operations we remain with one term giving us zero [ eliminated ]

→ Multiply equation (a) by 6 and multiply equation (b) by 8. In order to eliminate x

→ Then we subtract equation (a) with equation (b)

[tex]{ \underline{ \rm{ - \binom{6(8x + 9y = - 3)}{8(6x + 7y = 1)} }}} \\ { \rm{ 0x \: - 2y = - 26 }} \\ \\ { \rm{ - 2y = - 26}} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]

• find x using equation (c)

[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]

4. Calculator synthetic method:

→ To use this method, you must have a scientific calculator.

→ If you have it, follow the steps below;

Answer: x = -15, y = 13

Answer:

[tex] {x}^{2} - 8x + 15 \\ (x - 5)(x - 3)[/tex]

I hope I helped you^_^

Answer:

(x-5) (x-3)

Step-by-step explanation:

At first find two numbers, that if you multiply, you get +15x², and the same number, if you do addition, get -8x

Those numbers are: -5x and -3x.

Now replace the -8x with the -5x and -3x. (x² - 5x - 3x + 15)

Now factorise as normal. You should get (x-5) and (x-3)

Hope I helped!

Answer:

All real numbers

Step-by-step explanation:

There is no real number that makes the expression undefined, therefore the domain would be all real numbers.

Sum of the exterior angles of a pentagon = 360

              ⇒   115 + 2x + 3x + x + x = 360      

                                   [simplify the x terms and subtract 115 from both sides]

                                                  7x = 360 - 115   [divide both sides by 7]            

Answer:

I donot know

Step-by-step explanation:

l donot know you are question

Answer:

289 student for the party them one mother say where you went that their mother where you want a brother se usse lion and the world I say diesel OK will die and back

Answer:

n= plus or minus (+-) square root 69/ 3 -2

Step-by-step explanation:

Answer:

n = -2[+/-] (2 [tex]\sqrt{69}[/tex])/3

Step-by-step explanation:

in other words, the answer is

n=0.768875

and

n = -4.76887

Answer:

50

Step-by-step explanation:

Sum of angles in a circle is 360,

145 + 165 + x = 360

310 + x = 360

x = 360 - 310

x = 50

Answer:

hello again

Step-by-step explanation:

i think so,

hope it helped

Answer:

the answer is 3,680

Step-by-step explanation:

Answer:

x means 10 sooooo

Step-by-step explanation:

hope it helps

Answer:

x=25

Step-by-step explanation:

they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.

Answer:

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

27%

Step-by-step explanation:

It was reduced by 27% because you get the 60 as 100% and 45 as 75% and you’ll get your answer.

let the interior angles of the given triangle be angle a b c respectively.

116+a=180 (Sum of angles on a straight line.)

a=180-116

a=64

.......

112+b=180(Sum of angles on a straight line.)

Sum of angles on a straight line.)b=180-112

b=68

....

angle a +b+c=180 (Sum of angles of a triangle)

64+68+c=180

c=180-132

c=48

.,....

angle c +X =180(Sum of angles on a straight line.)

48+X=180

X=132

Therefore the value of X is 132.

2.

solution,

Let the remaining interior angle of the given triangle be y.

Then,

y+108=180(Sum of angles on a straight line.)

y=72

Again,

2x+X+y=180(Sum of angles of a triangle)

3x+72=180

3x=108

X=108÷3

X=36

Therefore the value of X is 36.

3.

solution,

let the remaining interior angle of the given polygon be a and b .

Then,

100+b=180(Sum of angles on a straight line.)

b=80

......

Again,

a+b+110+90=360(Sum of interior angle of the polygon)

a+80+200=360

a+280=360

a=80

.....

a+X=180(Sum of angles on a straight line.)

80+X=180

X=100

Therefore the value of X is 100.

4.

solution,

The given triangle is an isosceles triangle.So their base angles are equal .

43+43+X=180(Sum of angles of a triangle)

X=180-86

X=94

Therefore the value of X is 94.

5.

solution,

Opposite angles of a parallelogram is equal

So ,

X=125

Therefore the value of X is 125.

6.

solution,

Let the remaining interior angle of the triangle be a .

Then,

a+117=180 (Sum of angles on a straight line.)

a=63

Now,

a+X+83=180(Sum of angles of a triangle)

63+83+X=180

146+X=180

X=34

Therefore ,the value of X is 34.

Answer:

lx-24l ≤ 8

Step-by-step explanation:

lx-24l ≤ 8

x ≤ 8 + 24

x ≤ 32

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

-x + 24 ≤ 8

24 - 8 ≤ x

16 ≤ x

The absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have been given that for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines.

To determine the absolute value equation that represents the minimum and maximum lengths.

First,  we need to find the difference between both solutions.

⇒ 32 - 16 = 16

Then, divide it by 2.

⇒ 16/2 = 8

⇒ 8 = |x - 32 + 8|

we could also write: 8 = |x - 32 + 8|

⇒ 8 = |x - 24|

Therefore, the absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

Learn more about the absolute value here:

brainly.com/question/1301718

#SPJ2

Answer:

63

Step-by-step explanation:

A median bisects the side that it is drawn to, so

So, FN = 4(15) + 3 = 63.

Once again, since a median bisects the side it is drawn to, NE = 63.

Let width be x

ATQ

[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]

[tex]\\ \sf\longmapsto 5x=35[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

Step-by-step explanation:

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft,

let the width =x

length =4width=4x

According to the question,

the perimeter of the rectangle is 70 ft

Therefore:-

width =x=7ft

length =4x=4×7=28ft