Compare the structure of the two
expressions.
Expression 1
Expression 2
3x
4x + 9(2x + 1) x² + 6(-2x + 1) - 3(7 + x?)

Answer:

x = -5

Step-by-step explanation:

Given that it is a vertical line, we know that it will only go through one x-value.

We are also given a point, (-5, -3).

This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.

Answer:

98 degrees

Step-by-step explanation:

The measure of angle 1 is  92°

The correct option is B.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A transversal intersects 2 lines to form 8 angles.

Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees;

blank, blank, (7 x minus 2) degrees, blank.

Now, the property of the supplementary angles:

m∠1 + m∠2 = 180°

m∠1 = 180 - 88

m∠1 = 92°

Therefore, the angle measure of angle 1 is 92°.

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Answer:

The GCF is 4x.

Step-by-step explanation:

4x( 4x -3 )

Hope this helped you!

Answer:

See Explanation

Step-by-step explanation:

From your question, what you need is the explanation;

Given that [tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Required: Simplify

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]

Group the expression above

[tex]((x - 1) - \sqrt{2})((x - 1) + \sqrt{2})[/tex] -------- Expression 1

The expression can be expanded using difference of two squares;

[tex](a - b)(a + b) = a^2 - b^2[/tex]

By comparison, Expression 1 can be rewritten as

[tex](x - 1)^2 - (\sqrt{2})^2[/tex]

Open both brackets

[tex](x - 1)(x - 1) - (\sqrt{2})(\sqrt{2})[/tex]

Expand the above expression

[tex](x(x - 1) -1(x - 1)) - 2[/tex]

[tex](x^2 - x -x + 1)- 2[/tex]

[tex](x^2 - 2x + 1)- 2[/tex]

Remove bracket

[tex]x^2 - 2x + 1- 2[/tex]

[tex]x^2 - 2x - 1[/tex]

Hence,

If

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Then

[tex]x^2 - 2x - 1[/tex] is a factor of p(x)

Answer:

Pretty sure Its B

Step-by-step explanation:

Answer:

I believe it's the third answer: 2b+20=240

Step-by-step explanation:

2b=The two buses

$20= the tip

240= the money raised

Answer:

Part 1:  [tex]2l+2w=34[/tex]       Part 2:  10.5 Units

Step-by-step explanation:

We can find perimeter of a rectangle using formula [tex]2l+2w=P[/tex]. We are given [tex]w[/tex], which is 6.5. Put this into the equation.

[tex]2l+2(6.5)=342l+13=34\\2l=21\\l=10.5[/tex]

So, length(l) of the rectangle is 10.5 units.

Answer:

10.5

Step-by-step explanation:

The perimeter of rectangles is calculated by adding all lengths together

34 units = length + length + width +width

since width is given as 6.5 units

2l + 2 × 6.5 = 34 (l : length)

2l + 13 = 34

2l = 21

l = 10.5

Answer:

6400

Step-by-step explanation:

6400/80=80

80+13=93

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Your number was 6400 because when 6400/80= 80, Then 80+13= 93.

Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.

In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.

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Answer:

1) -2q-5= -11

-2q = -11+5

q = -6/-2 =3

2) 3(8+k) = 33

24 + 3k = 33

3k = 33-24

K = 9/3 = 3

3) 4/6=x/9

By cross multiplication

4x9 = Xx6

36 = 6x

So, x = 6

4) 6(y+3)=24

6y + 18 = 24

y = (24-18)/6 = 1

5)4k+8=26

4k = 26-8

k = 18/4 = 4.50

6)8y=6+2y

8y - 2y = 6

6y = 6

So, y = 1

7)3x-7=20

3x = 20+7

x = 27/3 = 9

Answer: See below attachment

The number of different possible party outcomes does Noah have with all of the given options is 18 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that,

Number of themes = 3

Number of party places = 2

Number of days = 3

Number of outcomes = 3×2×3

= 18 ways

Therefore, the number of different possible party outcomes does Noah have with all of the given options is 18 ways.

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Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x =  -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

Answer:

31.25

Step-by-step explanation:

There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day

Answer:

31 quarters

Step-by-step explanation:

Have an equation set

Then you solve the equation you get 31.25

Round the number since you can't have 31.25 quarters it just doesn't make sense.

Round it to 31

Therefore your answer is 31 quarters

Hope this Helps!

Answer:

domain 0<=x<=infinty or [0,infinity)

Range 0<=y<=infinity or [0,infinity

Step-by-step explanation:

A.50

I'm sure its correct

Answer:

It's (A) 50

Step-by-step explanation:

Answer:

Use a graphing calc

Step-by-step explanation:

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

Answer:

The answer is 76.9 rounded or rounds.

Step-by-step explanation:

Solution

Given that:

Mean = μ = 72.5

Standard deviation = σ = 6.5

Now

By applying the standard normal table we have the following:

P(Z < z) = 75%

= P(Z < z)

= 0.75

Thus

z =0.67 by using the standard normal z table

Applying the  z-score formula we have:

x = z * σ + μ

x = 0.67*6.5+72.5

x= 76.855 ≈ 76.9

Therefore the cutoff time is 76.9 rounds.

Answer: Found it by web and solving

Step-by-step explanation: L = W + 4

LW = 60

---

LW = 60

(W + 4)W = 60

W^2 + 4W + (-60) = 0

---

above is in quadratic equation form: ax^2 + bx + c = 0

---

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

---

the two solutions are:

W = 6

W = -10

the negative solution doesn't make sense for length, so use the positive solution.

---

L = 10

W = 6

Answer:

The answer is $37195.20

Step-by-step explanation:

The annual salary would be 12 times the monthly salary. Therefore, if the monthly salary is 2,870 the annual (yearly) salary would be 12 times as much. Which would result in 34,440. Then you would have to find 8% percent of 34,440 which is 2,755.20. Finally, just add the two numbers which will get you 37195.20.

Answer: 1.89230769231

Step-by-step explanation:

The parabolic touch x axis just one time. When it happens, the discriminant of the function is zero. ([tex]\Delta = 0[/tex]).

Therefore, the correct option is letter b).

Answer:

zero

Step-by-step explanation:

a pex

Hey there! :)

Answer:

Anna's number = 13.

Olga's number = 52.

Step-by-step explanation:

We can express this situation as an equation to solve for both of their numbers.

Let x be Anna's number

Let 4x be Olga's number

Their numbers sum up to 65, therefore:

4x + x = 65.

Begin by combining like terms:

5x = 65

Divide both sides by 5:

5x/5 = 65/5

x = 13 = Anna's number.

Find Olga's number by plugging 13 into 4x:

4(13) = 52. This is Olga's number.

Answer:

3/4

Step-by-step explanation:

The constant of proportionality is y/x

3/4

Answer:

Both expressions are equal. One expression cannot be greater than the others.

Step-by-step explanation:

The given expressions are:

A:   (x + y)

B:   (x) + (y)

A:   (a+b) = a+b

B:   (a)+(b) = a+b

A:   (-a+ (-b)) = -a-b

B:   (-a)+(-b) = -a-b

A:   (a+(-b)) = a-b

B:   (a)+(-b) = a-b

A:   ((-a)+b) = -a+b

B:   (-a)+(b) = -a+b

We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

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Answer:

For L || M, the same side interior angles must be supplementary which means:

x - 5 + 2x + 5 = 180

3x = 180

x = 60°

Answer:

6/x

Step-by-step explanation:

(3x^2)(2x^-3)

Multiply the coefficients

3*2 = 6

Add the exponents

x^2 * x^-3 = x^(2-3) = x^-1

We know that a^-b = 1/ a^b

6 x^-1 = 6 * 1/x^1 = 6/x

Answer:

Brainliest!

Step-by-step explanation:

see picture

-math    

way

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

-10 = -2a - 2b    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!