-2 (x + 4) – (3x – 8)
What it equals

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

Step-by-step explanation:

Angle ADB = Angle CBD = 90° (given)

Side AB = Side DC (given)

Common side DB / BD

By HL congruence, triangles ABD and CDB are congruent.

Therefore Angle ABD = Angle CDB

=> Line AB is parallel to Line DC (Z angles)

Answer:

Xylem moves water and nutrients throughout the plant.

Answer:

B and D

Step-by-step explanation:

most people in the comments said it was right so I tried it and got it right

Answer:20

Step-by-step explanation:

Answer:

The dot is called a decimal. Its what separates the whole number and the fraction of the number.

Step-by-step explanation:

For example, 0.5 is saying half, or 50 out of 100.

Answer:foooo

Step-by-step explanation:

Answer:

Her weekly wage is $1150.

Step-by-step explanation:

It is given that,

Grace spent 16% of her weekly wage on a new bookshelf that cost $184.

We need to find her weekly wage.

Let her weekly wage is x.

ATQ,

[tex]16\%\ of\ x=184\\\\x=\dfrac{184}{16\%}\\\\=\dfrac{184}{\dfrac{16}{100}}\\\\=\$1150[/tex]

So, her weekly wage is $1150.

in step 2 he made his first mistake

1/2(n-4)-3=3-(2n+3)

1/2n-4/2-3=3-(2n+3)

1/2n-2-3=3-(2n+3)

in the second step he put 5 instead of 2.

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec

Answer:

X = 44°

Step-by-step explanation:

The angle other than 68°and and x is also 68° because its a isosceles triangle.

so 68° + 68° + x = 180° (angle sum property)

136° + x = 180°

x = 180 - 136

= 44°

hope this helps.

Answer:

44

Step-by-step explanation:

two lines are similar so there angel are the Same

Answer:

because if u divied it it is dum as

Step-by-step explanation:

Answer:

We can't see the graph i can help if you insert it

Step-by-step explanation:

Answer:

mean is 82, Median is 84, mode is 81  

Step-by-step explanation:

The mean of the given data set is 82, median is 84 and mode is 81.

The given data set is 81, 87 93, 89, 61, 81.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Now, the ordered pair is 61, 81, 81, 87, 89, 93.

Median = (81+87)/2

=168/2

=84

Mean = Sum of all the observations/Number of observations

= (61 + 81 + 81 + 87 + 89 + 93)/6

= 492/6

= 82

Mode = The mode is the value that appears most frequently in a data set.

Here, 81 is the most frequently in the given data set.

Therefore, the mean of the given data set is 82, median is 84 and mode is 81.

To learn more about the arithmetic mean visit:

https://brainly.com/question/23706022.

#SPJ5

2/3 is the answer   becuase 72/6 = 12 12/6 = 2/3

Answer:   A

Step-by-step explanation:

81 -  1 1/5x [tex]\leq[/tex]  55   The first thing you could do is convert the mixed fraction into an improper fraction.

1 1/5 to an improper fraction is  -6/5  

Now rewrite the inequality as,

81 - 6/5x [tex]\leq[/tex] 55     Subtract 81 from both sides

-81               -81

-6/5x [tex]\leq[/tex] -26     Multiply both sides of the inequality by 5  

-6x [tex]\leq[/tex] -130         Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.

x  ≥  130/6    Convert 130/6 to a mixed fraction  

x ≥ 21  2/3

Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

Answer:

The slope is 3/2

Step-by-step explanation:

(x1,y1)=(12,16)

(x2,y2)=(34,49)

m= y2−y1 /x2−x1

49−16 /34−12

33 /22

3 /2

Answer:

-3/2

Step-by-step explanation:

y1-y2 / x1-x2

16- 49/12-34

33/22 or -3/2

I hope this helped, Have a Wonderful Day!!

Answer:

it's a or c

Step-by-step explanation:

Answer:

3/4 of a 6-ounce glass

Step-by-step explanation:

Given time = 2/3 of hour

As hour = 60 min

= 120/3

= 40 mins

So,

40 mins: water in take is 3 ounce

1 minute: water in take is 3/40

60 mins: water in take is (3/40) x 60 = 4.5 ounce

Answer:

true

Step-by-step explanation:

u are right

Answer:

True

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = -2; b = -5

Then your linear equation will be:

y = -2x -5

Answer:

The opposite sides are "parallel and congruent". The opposite angles are congruent. The consecutive angles are supplementary. If anyone of the angles is a right angle, then all the other angles will be the right angle.

Step-by-step explanation:

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

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

The number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]P=a\times b[/tex]

Here, (a, b) are the real numbers.

The 4 x 10^3 times a number is equal to the number 16 x 10^3 Let suppose this number is n. Thus,

[tex]4\times10^{3}\times n=16\times10^{3}[/tex]

Divide both side of the equation with 4 x 10^3 as,

[tex]n=\dfrac{16\times10^{3}}{4\times10^{3}}\\n=\dfrac{16}{4}\\n=4[/tex]

Hence, the number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.

Learn more about the product here;

https://brainly.com/question/10005040

Answer:

and "Bumps"

Purplemath

Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.

I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".

For instance, the following graph has three bumps, as indicated by the arrows:

y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0

Answer:

1. >

2. <

3. =

4. >

5. >

6. =

7. <

8. <

9. =

10. <

11. >

12. >

13. <

14. =

15. >

16. <

17. >

18. <

19. yes

20. yes

21. yes

22. 2/3, 0.65, 63%

23. 98.5%, 0.98, 7/8

24. 0.2, 1/12, 2%

25. The Pitchers for the visiting team

26. School Bus, Family Vehicle, Bike

Hope this helps :)