Combining like terms with neg
Combine the like terms to create an equivalent expression:
--3x – 6+ (-1)

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

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Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

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Answer:

8 and 2

Step-by-step explanation:

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6

Use common denominator of 2x

[tex]\frac{2}{2x}[/tex] +  [tex]\frac{1}{2x}[/tex] = 6

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2

Answer:

H=21ft

Step-by-step explanation:

Height=2•Area/Base

Area=126ft^2

Base=12ft.

H=2•126/12=21ft

H=21ft

Hope this helps :)

Answer:

AB would be 18 or the first choice.

Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.

x + 8 = 2x - 17

  + 17       +17

x + 25 = 2x

-x            -x

    25 = x

This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.

Step-by-step explanation:

hope this helps. . . <3

good luck!      uωu

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

Answer:

Step-by-step explanation:

Circumference formula:

Substitute and solve for d:

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Explanation:

Factoring to linear factors generally involves finding the roots of the polynomial.

The two rules that are taught in Algebra courses for finding real roots of polynomials are ...

In general, it is a difficult problem to find irrational real factors, and even more difficult to find complex factors. The methods for finding complex factors are not generally taught in beginning Algebra courses, but may be taught in some numerical analysis courses.

Formulas exist for finding the roots of quadratic, cubic, and quartic polynomials. Above 2nd degree, they tend to be difficult to use, and may produce results that are less than easy to use. (The real roots of a cubic may be expressed in terms of cube roots of a complex number, for example.)

__

Personally, I find a graphing calculator to be exceptionally useful for finding real roots. A suitable calculator can find irrational roots to calculator precision, and can use that capability to find a pair of complex roots if there is only one such pair.

There are web apps that will find all roots of virtually any polynomial of interest.

_____

Additional comment

Some algebra courses teach iterative methods for finding real zeros. These can include secant methods, bisection, and Newton's method iteration. There are anomalous cases that make use of these methods somewhat difficult, but they generally can work well if an approximate root value can be found.

Answer:

$3.52 (rounded to nearest penny)

Step-by-step explanation:

7x + 15(7) = 12(2x) + 12.5(6)

7x + 105 = 24x + 75

105 = 17x + 75

30 = 17x

1.76 = x

3.52 = 2x

The cost for each adult to rent bowling shoes is $12.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Group I:

Total students= 7

Rent of bowling= $x

Spent on snacks= $15

Then, total amount spent by 7 children = 7x+ 15(7)

Group II:

Total students= 6

Rent of bowling= $2x

Spent on snacks= $12.50

Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)

So, If both groups spent the same total amount

7x+ 105=  12x + 75

12x- 7x = 105- 75

5x = 30

x= 6

Hence, the cost for each adult to rent bowling shoes is $12.

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Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

Answer:

4^22x

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

The difference between a number P and 6 is -14.

then;

[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]

Answer:

y=2

Step-by-step explanation:

Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.

Answer:

y=4/3

Step-by-step explanation:

3y-8=3y

3y+3y=8

6y=8

y=8/6=4/3

Answer:

■ y = m x

m = slope

Here m = 4/3

,*,slope is 4/3

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

-4 times -4 is 16

x^2 to power of 2 is 2 times 2 so x^4

y^2 is y^2

a^3 to power of 2 is 3 x 2 = 6 so a^6

16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

Please give brainliest!

Answer:

y=-2x+5

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b