Which equation represents y = −x^2 −2x + 3 in vertex form

A. 20

Begin by substituting the known value. I have removed the symbols for now just to make the equation easier to read. 55 = 3.5x - 15

Add 15 on both sides of the equation to cancel out the subtraction. 70 = 3.5x

Finally, divide both sides by 3.5 to cancel out the subtraction. 20 = x

So, Starla bought 20 napkins.

Answer:

[tex]\frac{1}{3}(base area)(height)[/tex]

Step-by-step explanation:

Hi!

For the Pyramid´s volume equation is referred to one third of the area base multiply for the height of the pyramid. Take into account that the base area just going to change for the kind of base you will have into the pyramid, for example if the base is rectangular you have to use the equation a for it while for a triangular base you have to use equation b

Equation a

base X height

Equation b    

base X (height)/2

B. 6

C. 4

D. 7

E. 1

F. 2

G. 6

Hope this helps :)

It took me a min to understand how they were doing the numbers corresponding to the letters lol

Answer with explanation:

a → 3

b → 5

c→ 4

d →7

e→ 1

f→2

g→6

[tex]\bf (\stackrel{\stackrel{r}{\downarrow }}{-2}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{2\pi })\qquad \begin{cases} x=&rcos(\theta )\\ &(-2)cos(2\pi )\\ &(-2)(1)\\ &-2 \\\cline{1-2} y=&rsin(\theta )\\ &(-2)sin(2\pi )\\ &(-2)(0)\\ &0 \end{cases}\qquad \implies \qquad (\stackrel{x}{-2}~,~\stackrel{y}{0})[/tex]

Answer:

y = rsen (θ)

So for r = -2 and θ = 2π we have

x = -2cos (2π)

x = -2

y = -2sen (2π)

y = 0

Finally the equivalent point in Cartesian coordinates is the point:

(-2 0)

Step-by-step explanation:

Answer:

its 8 i just finished the test

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Any statement claiming <1 and <2 = 90 is incorrect.

So the answer must be one of B or D

D is a bit incomplete, but it is your best answer. The next step would be to subtract <2 from both sides.

the answer is D , it makes the most sense for this problem

Answer:

A. 30cm

Step-by-step explanation:

You would need to use the Pythagorean Theorem to find the answer. The theorem is a^2+b^2=c^2.

A and B represent the legs and C represents the hypotenuse.

Now substitute the values: 18^2+24^2=c^2

Calculate the exponents: 324+576=c^2

Now add: 900=c^2

Find the square root of 900: 30

So, the length of the hypotenuse is 30cm.

Answer:

It is 5 miles difference . GOOD JOB!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Yes, the distance is 5 miles

Step-by-step explanation:

Since the y-coordinates are the same, we can ignore the y-distance and treat the total distance like a number line.

So, the distance is |9 - 4| = 5 units

Since each unit is a mile, that translates the distance to 5 miles.

Answer:

[tex]5y=24x[/tex]

Step-by-step explanation:

The question in English is

If 4x= 5/6y then 5y=

we have

[tex]4x=\frac{5}{6}y[/tex]

Solve for 5y

Multiply both sides by 6

[tex]6*4x=(6)*\frac{5}{6}y[/tex]

Simplify

[tex]24x=5y[/tex]

Rewrite

[tex]5y=24x[/tex]

Answer:

Step-by-step explanation:

Answer:

The correct answer is R0, 270°

Answer:

Step-by-step explanation:

[tex]-7-i\\\\\text{complex conjugate:}\ -7+i\\\\(-7-i)(-7+i)\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=(-7)^2-(i)^2\qquad\ i=\sqrt{-1}\to i^2=-1\\\\=49-(-1)\\\\=49+1\\\\=50[/tex]

Answer:

Step-by-step explanation:

3√2 sec(x) + 2 = 2√2 sec(x)       Subtract    2√2 sec(x)   from both sides

√2 sec(x)  + 2 = 0                         Subtract 2 from both sides.

√2 sec(x)  = - 2

The secant is related to the cosine. sec(x) = 1/cos(x). The statement tells you that wherever the cos(x) < 0 , the secant will be as will. That means your answer will be in quad 2 and quad 3 and you are to use the appropriate rules for theta in those two quads.

It turns out that you could do this by using the reciprocal of 2

cos-1(- 0.5) = 120 degres. In terms of pi (which is 180 degrees)

120/180 * pi = (2/3) * pi

In quad three you would get pi + pi/3 = 4/3 pi

So your answers are

2/3 pi and 4/3 pi

Answer: (-1,3,1)

Step-by-step explanation:

okay so you should know that the formula for a triangle is:

A=1/2×b×h

where b is breadth and h is height

A is area

so they already gave the area which is 16.2 and they already gave a side ( doesn't matter if it's b or h in this question)

so we put these into the equation of the area of a triangle

A=1/2×b×h

16.2=1/2 × 6 × h

then you will solve algebraically to get 5.4cm which is you answer

to check if correct you can always put in all numbers in equation and you should get 16.2cm

In this case it's correct ✌

Answer:

AC = 5.4 cm

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here AC is the base (b) and AB the height (h), thus

[tex]\frac{1}{2}[/tex] × AC × 6 = 16.2

3AC = 16.2 ( divide both sides by 3 )

AC = 5.4 cm

Step-by-step explanation:

2x-3y=-15. ----(1)

where, x=4y

Substituting the value of 'x' in equation (1) we'll get:

2(4y)-3y=-15

8y-3y=-15

5y=-15

y= -3

[tex]<marquee>Thanks ⚡[/tex]

Answer:

I believe the answer is -3

because I plugged in 4y for X

Answer:

do 49 x 49 which equals 2,401 then check it

put 2,401 square root which equals 49

[tex]\text{Hey there!}[/tex]

[tex]\text{49}=\sqrt{\text{x}}\\\\\text{Reverse the equation:}\sqrt{\text{x}}=49[/tex]

[tex]\text{After you reverse the equation put the square root on each of your sides!}[/tex]

[tex]\text{In order for you to find the outcome (your result) put 49 to the power of 2 (49)}^2[/tex]

[tex]\text{Your equation becomes:x = 49}^2[/tex]

[tex]\text{49}^2\text{= 49}\times49 =2,401[/tex]

[tex]\boxed{\boxed{\bf{Thus, your\ answer\ is: 2,401}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Note: there's many ways that you could solve for these type of problems but}[/tex] [tex]\text{steps are basic for better understanding the particular equation!}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other

Step-by-step explanation:

Company C and Company D both manufacture batteries having the greatest variation in lifespan, which is an 8 month variation. This was determined by calculating the range of each data set.

The variation in lifespan for each company's laptop battery can be determined by looking at the range of the data, which is found by subtracting the smallest value (minimum) from the largest value (maximum). So we have:

As we can see, Company C and Company D both have the greatest variation in lifespan of their laptop batteries, with a range of 8 months.

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Answer:

The function is neither even nor odd.

Step-by-step explanation:

the function is even if f(-x) = f(x)

The function is odd if f(-x) = -f(x)

We are given the function:

f(x) = 3(x-1)^4

Solving

f(x) = 3(x^4 -4x^3+6x^2-4x+1)

f(x) = 3x^4-12x^3+18x^2-12x+3

Now putting -x instead of x i,e f(-x)

f(-x) = 3(-x)^4-12(-x)^3+18(-x)^2-12(-x)+3

Solving

f(-x) =3x^4+12x^3+18x^2+12x+3

so, f(-x) ≠ f(x) The function is not even

and f(-x) ≠ -f(x) The function is not odd

Hence the function is neither even nor odd.

Answer:

[tex]30 < \frac{1}{2}x[/tex]

Step-by-step explanation:

we know that

The algebraic expression of the phrase " thirty less than one half the value of x" is equal to

[tex]30 < \frac{1}{2}x[/tex]

solve for x

Multiply by 2 both sides

[tex]2*30 < x[/tex]

[tex]60 < x[/tex]

Rewrite

[tex]x > 60[/tex]

The solution is the interval ----> (60,∞)

All real numbers greater than 60

The phrase 'thirty less than one half the value of x' can be interpreted as a mathematical statement and translated into the algebraic equation 0.5x - 30.

The question 'thirty less than one half the value of x' asks us to express a mathematical concept in an algebraic equation. We can do this by firstly taking half the value of x, represented as 0.5x. Following the phrase 'thirty less than', we subtract 30 from this half-value of x, giving the equation "0.5x - 30". So, when someone says 'thirty less than one half the value of x', they are referring to this mathematical equation.

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Answer:

C 13,7,1

Step-by-step explanation:

The given expression is [tex]y=-3x+7[/tex].

To find the corresponding y-values, we need to plug in the x-values.

When x=-2, [tex]y=-3(-2)+7[/tex],  [tex]\implies y=6+7=13[/tex]

When x=0, [tex]y=-3(0)+7[/tex],  [tex]\implies y=0+7=7[/tex]

When x=2, [tex]y=-3(2)+7[/tex],  [tex]\implies y=-6+7=1[/tex]

Therefore the numbers that completes the table are: 13,7,1

The correct answer is C

33 hours is the answe

Answer:

so appx, 33 and a half hours per week

Step-by-step explanation:

366/11= 33.27

Answer:

See explanation

Step-by-step explanation:

If

[tex]f(x)=-x^2 +3x+5[/tex]

and

[tex]g(x)=x^2 +2,[/tex]

then

[tex](f+g)(x)=-x^2+3x+5+x^2+2=3x+7[/tex]

This is the linear function. To plot the graph of this function, find x- and y- intercepts:

x-intercept:

[tex]y=0\Rightarrow 3x+7=0\\ \\3x=-7\\ \\x=-\dfrac{7}{3}[/tex]

y-intercept:

[tex]x=0\Rightarrow y=3\cdot 0+7\\ \\y=7[/tex]

Plot these two points on the coordinate plane and connect them with a straight line.

Answer:

Region A is the region represents the graph of the feasible region

for the given constraints

Step-by-step explanation:

* Lets look to the graph to answer the question

# y ≥ 2x represented by the orange line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A region

# x + y ≤ 14 represented by the purple line

∵ The sign of inequality is smaller than, then the shaded part will

   be under the line

∴ The solution is in A or B or C regions

# y ≥ 1 represented by the pink line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B or C regions

# 5x + y ≥ 14 represented by the blue line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B or C regions

# x + y ≥ 9 represented by the green line

∵ The sign of inequality is greater than, then the shaded part will

   be over the line

∴ The solution is in A or B regions

* From all above The common region in the five inequalities is A

∴ Region A is the region represents the graph of the feasible region

  for the given constraints

Answer:

A. Region A

Step-by-step explanation:

Let X= Cost of pears Let Y= Cost of peaches.

Solve question using a system of equations.

5X + 6Y = 11.20

3X = 2Y

Simplify the second equation to solve for Y.

3X = 2Y

Y = 1.5X

Substitute Y into the first equation.

5X + 6(1.5X) = 11.20

Simplify.

14X = 11.20

Solve for X:

X = 0.8

Substitute the value into one of the equations.

3X = 2Y

3(0.8) = 2Y

2.4 = 2Y

Y = 1.2

Each pear is $0.80 and each peach is $1.20.

Hope this helps!

Only one person can win gold, silver, and bronze. The order of the winner does matter. So it’ll be 18 times 17 times 16.

Answer: 4,896

Stwhiep-by-step explanation:

Given, There are 18 skaters competing in the competition.

To find : The number of ways in which they can win gold, silver, and bronze medal.

Since, in distribution of medals(gold, silver, and bronze) we require 3 winners in a particular order, so for this we use Permutations.

According to permutation , number of ways of selecting r things out of n = [tex]\dfrac{n!}{(n-r)!}[/tex]

Then, The number of ways in which 18 skaters can win 3 medals= [tex]\dfrac{18!}{(18-3)!}=\dfrac{18\times17\times16\times15!}{15!}=4,896[/tex]

Hence, the required number of ways =4,896

Answer:

Step-by-step explanation:

[tex]a_{nm}\to n-\text{number of row},\ m-\text{number of column}\\\\b_{21}\to 2^{rd}\ row,\ 1^{st}\ column\\\\B=\left[\begin{array}{cccc}-1&2&5&0\\\boxed{-5}&0&9&7\\9&12&8&-1\\8&-5&0&6\end{array}\right]\begin{array}{ccc}\leftarrow\ 2^{rd}\ row\\\\\end{array}\\.\qquad\ \ \ \ \uparrow\\.\ \ \ \ \ 1^{st}\ column[/tex]

The matrix element b21 in matrix B is -5, which represents the value located in the 2nd row and 1st column of the matrix.

In matrix notation, a matrix is represented by enclosing its elements in square brackets. The elements of the matrix are arranged in rows and columns.

In matrix notation, "b21" represents the element in the 2nd row and 1st column of a matrix. It is the entry located at the intersection of the 2nd row and 1st column.

To identify the element b21, we look at the value in the 2nd row and 1st column of matrix B. In this case, the element b21 is -5.

This means that the value in the 2nd row and 1st column of matrix B is -5.

To know more about matrix:

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Answer:

key features are the slopes of both linear functions, if they are not equal then the two linear  functions will be intercepted

Step-by-step explanation:

Any linear function can be represented by the following linear equation:

y=mx+b

where m is the slope of function

and y in the intercept

Given:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers

Let it be represented by y₁=m₁x+b₁

and another linear function that models how much income they get from those sneakers

Let it be represented by y₂=m₂x+b₂

Now if m₁≠m₂

then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.

y₂-y₁=0

This point is called the break-even point and the profit is zero at this point !

Answer:

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

Step-by-step explanation:

Equation 1

|5x + 6| = 41.......................finding the absolute value of x

5x+6=41

5x=41-6

5x=35........................divide by 5 both sides

x=35/5= 7

|x|=7

Equation 2

|2x + 13| = 28........................find the absolute value of x

2x+13=28

2x=28-13

2x=15........................................divide by 2 both sides

x=15/2 =7.5

|x|=7.5

Conclusion

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

Answer:

Solution of inequality 1:

[tex]x \in [\frac{-47}{5}, 7][/tex]

Solution of Inequality 2:

[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

Step-by-step explanation:

We are given two inequalities:

Inequality 1

[tex]\mid 5x + 6 \mid = 41\\-41 \leq 5x + 6 \leq 41\\-47 \leq 5x \leq 35\\\frac{-47}{5} \leq x \leq 7\\x \in [\frac{-47}{5}, 7][/tex]

Inequality 2

[tex]\mid 2x + 13 \mid = 28\\-28 \leq 2x +13 \leq 28\\-41 \leq 2x \leq 15\\\frac{-41}{2} \leq x \leq \frac{15}{2}\\x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

Solution of inequality 1:

[tex]x \in [\frac{-47}{5}, 7][/tex]

Solution of Inequality 2:

[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]

For this case we must find the quotient of the following expression:

[tex]\frac {-8x ^ 6} {4x ^ {- 3}} =[/tex]

By definition of power properties we have:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Rewriting the expression we have:

[tex]\frac{-8}{4}*x^6*x^3[/tex]

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

[tex]-2x^{6+3}[/tex]

Answer:

[tex]-2x ^ 9[/tex]