2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

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Answer:

Its A

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

15x-31 = 9x+11

6x-31 = 11

6x = 42

x = 7

15x -31 + 9x + 11 + s = 180

15(7) -31 + 9(7) + 11  + s = 180

105 - 31 + 63 + 11 + s = 180

153 + s = 180

s = 27

Answer:

Rotation

Step-by-step explanation:

Rotation around the origin I believe

Answer:

substitution

Step-by-step explanation:

9514 1404 393

Answer:

  $7,358

Step-by-step explanation:

Assuming the interest is compounded annually, the amortization formula is useful here.

  A = Pr/(1 -(1+r)^-t)

A is the annual scholarship, P is the principal invested at rate r for t years.

  A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18

The university could give $7,358 in scholarships each year.

Answer:

12 inches

Step-by-step explanation:

We can write this as a proportion:

inches/miles = inches/miles

1/10 = x/120

Solving for x, we get 12 inches.

Okay, so basically just plug -2 in for x in the equation and solve.

-7(-2) + 1

Multiply first

14 + 1

Now add

15

Answer:

1. (0,5), (0,9), (10,4), (10,0), (5,0)

2. [tex]Q_{max}=912[/tex]

[tex]Q_{min}=300[/tex]

Step-by-step explanation:

1.

In order to determine the coordinates of the vertices of the feasible region, we must first graph each of the inequalities. The feasible region is the region where all the inequalities cross each other. In this case it's the region shaded on the attached picture.

The first point is the intercept between the equations x=0 and x+y=5 so in order to find this first coordinate we need to substitute x=0 and solve for y.

0+y=5

y=5

(0,5)

The next point is the intercept between the equations x=0 and x+2y=18, so again, we substitute x for zero and solve for y:

0+2y=18

[tex]y=\frac{18}{2}[/tex]

y=9

(0,9)

The next coordinate is the intercept between the lines x=10 and x+2y=18, so we substitute x for 10 and solve for y:

10+2y=18

2y=18-10

2y=8

[tex]y=\frac{8}{2}[/tex]

y=4, so the oint is

(10,4)

The next point is the intercept between the lines x=10 and y=0, so the point is:

(10,0)

The final point is the intercept between the equations: y=0 and x+y=5. We substitute y for zero and solve for x:

x+0=5

x=5

so the point is:

(5,0).

2. In order to determine the maximum and minimum value of the function Q=60x+78y on the feasible region, we must evaluate it for each of the points found on part 1.

(0,5)

Q=60(0)+78(5)

Q=390

(0,9)

Q=60(0)+78(9)

Q=702

(10,4)

Q=60(10)+78(4)

Q=912

(10,0)

Q=60(10)+78(0)

Q=600

(5,0)

Q=60(5)+78(0)

Q=300

So now we compare the answers and pick the minimum and maximum results.

We get that:

[tex]Q_{max}=912[/tex]

when x=10 and y=4

and

[tex]Q_{min}=300[/tex]

When x=5 and y=0

The feasible region is the possible set of a constraint

(a) The coordinates of the vertices at the feasible region

The constraints are given as:

[tex]\mathbf{x \ge 0}[/tex]

[tex]\mathbf{y \ge 0}[/tex]

[tex]\mathbf{x \le 0}[/tex]

[tex]\mathbf{x + y\ge 5}[/tex]

[tex]\mathbf{x + 2y\ge 18}[/tex]

See attachment for the graph of the constraints

From the graph, the vertices are:

[tex]\mathbf{(x,y) \to (0,5), (0,9), (5,0)}[/tex]

(b) The minimum and the maximum values of objective function Q

The objective function is:

[tex]\mathbf{Q=60x +78y}[/tex]

Substitute [tex]\mathbf{(x,y) \to (0,5), (0,9), (5,0)}[/tex] in Q

[tex]\mathbf{Q=60(0) +78(5) = 390}[/tex]

[tex]\mathbf{Q=60(0) +78(9) = 702}[/tex]

[tex]\mathbf{Q=60(5) +78(0) = 300}[/tex]

Hence, the maximum and the minimum values are 702 and 300, respectively.

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Answer:

........................

Answer:

3 x y − 7 y 2 − 6 x + 20 y + 5

Step-by-step explanation:

Answer:

−f(5.1) =  16.14

Step-by-step explanation:

Hope this helps!  Stay safe!

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

     [tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Answer: 84

Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.

4 = 130

2 = 50

1 = 90

3 = 40

:)

hi there! here's my answer for you...

Answer:

slope:

m = -3/4

y-intercept:

y = −3x/4 + 9/4

hope this helped. have a good one!

Answer:

Step-by-step explanation:

109

Answer:

810

Step-by-step explanation:

hope it help you ☺☺....

A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Option B is correct.

A  limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Case 1 .  If  a < b  or  [tex]\frac{b}{a}>1[/tex]

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   [tex]\frac{b}{a}<1[/tex]

Then the limacon does not have an inner loop.

Here, given that,  [tex]r=3+4cos\theta[/tex]

It is observed that,  a < b  or [tex]\frac{b}{a}>1[/tex]

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

Learn more:

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Answer:

m = -2

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define function

y = -2x + 5

Step 2: Break function

Slope m = -2

y-intercept (0, 5)

Answer:

The two correct expressions are:

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

Answer:

Step-by-step explanation:

Two integers are:

The equation and solution:

And

Answer:

27

Step-by-step explanation:

Answer:

the answer its 31

Step-by-step explanation:

and first 21 : (2+1) x 5- 2^2

21 : 3 x 5 -2^2

7x5- 2^2

35-4

31

I hope you understand

Answer:

3

Step-by-step explanation:

Answer:

you forgot the picture

Step-by-step explanation:

Please put a picture

Answer:

y=6x+8

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.