The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

9x^2-36x+16

A.True
B.False​

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

[tex]6x + y= 2[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]

[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]

adding the equation

[tex]-6x-6y=-18[/tex]

[tex]+[/tex]

[tex]\underline{6x+y=2}[/tex]

[tex]-5y=-16[/tex]

so the system becomes

[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]6x+\frac{16}{5}=2[/tex]

subtract 16/5 from both sides

[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]

[tex]6x=-\frac{6}{5}[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the FIRST SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

SECOND SYSTEM

[tex]2x-3y = -10[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]

[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]

[tex]-2x-2y=-6[/tex]

[tex]+[/tex]

[tex]\underline{2x-3y=-10}[/tex]

[tex]-5y=-16[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

Simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]2x-3\cdot \frac{16}{5}=-10[/tex]

[tex]2x=-\frac{2}{5}[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]

Simplify

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the SECOND SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

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Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Answer:

69.04

Step-by-step explanation:

Given that:

Mean (m) = 69.0

Standard deviation (s) = 2.8

Zscore = 0.2

Find the corresponding height (x) ;

Using the relation :

Zscore = (x - m) / s

0.2 = (x - 69.0) / 0.2

0.04 = x - 69.0

0.04 + 69.0 = x

69.04 = x

Hence, the height of a man with a Zscore of 0.2 is 69.04

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

The ratio is 2 : 5 and the smaller portion is 100

What is an Equation?

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.

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 data ,

Let the total amount be A = $ 350

Now , the ratio is 2 : 5

So , the total ratio is = 2x + 5x

                                 = 7x

And, the value 7x =  total amount

So , 7x = 350

Divide by 7 on both sides of the equation , we get

x = 50

So , the number 350 in the ratio 2 : 5 is 100 : 250

Hence , the smaller portion is 100

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Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

Answer:

Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Step-by-step explanation:

We need to multiply the terms and find the answers

First we multiply 2 with 0.23, then we multiply 1 with 0.23

   0.23

x    0.12

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

     046

   0230

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

    .0276

Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.

Counting of decimal will start from the units place.

So, Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Answer:

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

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Answer:

3.5 hours

Step-by-step explanation:

if you multiply 6 and 2 by 3.5, then add them you get 28

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer: -3

Step-by-step explanation:

18/6 = 3

18/-6 = -3

Answer:

Yes i think its -96,

if thats what your asking

Answer: the 2 on the right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y = mx + b

m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope

Answer:

it's the fourth one i did that assignment aswell

Answer:

x = 35°

y = 55°

Step-by-step explanation:

60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)

2x = 180° - 110°

x = 70°/2 = 35°

2x + 2y = 180°( Sum of interior angles of a triangle is 180°)

2× 35° + 2y = 180°

70° + 2y = 180°

2y = 180° - 70°

y = 110°/2

y = 55°

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

Answer:

It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.

Hope this helps! But this would be easier to explain with an example

Answer:

y = 2x +4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~

(1, 6)

(- 3, - 2)

m = 2

y - 6 = 2 ( x - 1 ) <------ ( point-slope form )

y = 2x + 4  <------- ( slope-intercept form )

2x - y = - 4  <------ ( standard form )

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs