I need help finding the vertex and axis of symmetry

I Need Help Finding The Vertex And Axis Of Symmetry

Answers

Answer 1

To find the vertex coordinates from the parabola, you can analyze the graph. The x (vertex) coordinate is just over the "x" axis, so the value is xvertex = 2.

The y (vertex) coordinate is y= 0 because it is the value that the parabola takes on that axis.

The axis of symmetry is the value in the "x" axis where the parabola is divided in half. So in this case is x = 2.

So the anser is x(vertex) = 2, y (vertex)=0 , and the axis of symmetry is x= 2.


Related Questions

there were 943 tornadoes in 2013 and 897 in 2014. what% decrease was that using 2 decimal places?

Answers

decrease in tornadoes = 943-897 = 46

% decrease in tornadoes = (decrease in tornadoes) / (initial amount of tornadoes) x 100%

[tex]\begin{gathered} \frac{46}{943}\text{ }\times\text{ 100 = }\frac{460}{943}\text{ = 4.87805} \\ \approx\text{ 4.88 ( 2 decimal places )} \end{gathered}[/tex]

Two thirds of a number is 4

Answers

Answer:

(2/3)x +4 = 1

(2/3)x = -3

x = -3 *3/2 = -9/2

Step-by-step explanation:

your welcome <3

Determine which solution is correct for solving - y = 6 using reciprocals. 5 7 Y=6 5 7 y 5 30 7 5 - (윽) (6) y = ○ 5 7y=6 5 y-23 y= 5 -6- 7 5 5 74= 6 7 5 y = 5 42 5 y = (3) (6) 5 74=6 (7) 5 5 y=6 y=6​

Answers

The correct answer for the reciprocal y = 42/5

What is Reciprocal?

The multiplicative reciprocal or reciprocal of a number x, denoted 1/x or x⁻¹, is the number that, when multiplied by x, gives a multiplicative identity element of 1. The multiplicative inverse of the fraction a/b is b/a. For the multiplicative reciprocal of a real number, divide 1 by the number.

Given,

5/7 y = 6

The reciprocal of 5/7 will be 7/5

Then,

Multiplying both side by 7/5, we get

(7/5)(5/7)y = (7/5)6

y = 42/5

Hence, y = 42/5 is the right answer

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Convert 7/8, 1/2 and 7/9 to equivalent fractions with denominator 72 their LCD

Answers

Answer:

63/72

36/72

56/72

Step-by-step explanation:

7/8

The denominator has to be 72. So, we find a factor of 72 with 8. it is 9.

7*9= 63

8*9= 72

63/72

For 1/2:

1*36=36

2*36=72

36/72

For 7/9:

7*8=56

9*8=72

56/72

If a1=8 and an= 5an-1 + 5 then find the value of a5

Answers

a_5 =5780

1) Given the 1st term a_1 =8 and the Recursive formula for this Sequence, let's find the 5th term by plugging and finding each term. Like this:

[tex]\begin{gathered} a_n=5a_{n-1}+5 \\ a_2=5(8)\text{ +5}\Rightarrow a_2=45 \\ a_3=5(45)+5\Rightarrow a_3=230 \\ a_4=5(230)+5\Rightarrow a_4=1155 \\ a_5=5(1155)+5\Rightarrow a_5=5780 \\ (8,\text{ 45, 230, 1155, 5780)} \end{gathered}[/tex]

2) Since it is a Recursive Formula we need to recur to the previous term to find the subsequent one. So

[tex]a_5=5780[/tex]

A rancher has a pen shown on the grid, where 1 unit represents 1
meter. The rancher needs a larger pen to be a dilation of the
smaller pen by a scale factor of 3.5 with the origin as the center of
dilation.

Answers

The coordinates of the vertices of the rectangle are A'(x, y) = (3.5, 3.5), B'(x, y) = (3.5, 7), C'(x, y) = (10.5, 7) and D'(x, y) = (3.5, 10.5). The graph of the new pen is shown below.

What is the representation of a pen by using a scale factor?

We find a representation of a original pen, whose vertices are shown on Cartesian plane. The new pen is the result of dilating the original one by a scale factor of 3.5 and with center at the origin. The expression that describes the transformation is:

P'(x, y) = k · P(x, y)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointk - Scale factor

If we know that A(x, y) = (1, 1), B(x, y) = (1, 2), C(x, y) = (3, 2), D(x, y) = (1, 1) and k = 3.5, then the coordinates of the resulting point are:

A'(x, y) = 3.5 · (1, 1)

A'(x, y) = (3.5, 3.5)

B'(x, y) = 3.5 · (1, 2)

B'(x, y) = (3.5, 7)

C'(x, y) = 3.5 · (3, 2)

C'(x, y) = (10.5, 7)

D'(x, y) = 3.5 · (1, 3)

D'(x, y) = (3.5, 10.5)

The graph of the resulting rectangle is shown below.

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Consider the line -9x-4y=-2.What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line?Would the perpendicular slope be -4/9 and the parallel line be 9/4?

Answers

[tex]-9x-4y=-2[/tex]

first we solve the equation for y

[tex]\begin{gathered} -4y=-2+9x \\ \\ y=\frac{-2+9x}{-4} \\ \\ y=\frac{1}{2}-\frac{9}{4}x \end{gathered}[/tex]

on this line the slope is the coefficient of x, so the number that accompanies the variable x

the slope is

[tex]-\frac{9}{4}[/tex]

for a line to be perpendicular to it, it must have the inverted fraction and the opposite sign to the original slope

then

[tex]-\frac{9}{4}\longrightarrow\frac{4}{9}[/tex]

the slope of the perpedicular line is 4/9

and the slope of a parallel line must be the same slope, so

[tex]-\frac{9}{4}[/tex]

the quotiant of a number and 3 is 8

Answers

the quotiant of a number and 3 is 8​:

[tex]\begin{gathered} \frac{x}{3}=8 \\ \text{Solve for x:} \\ \text{Multiply both sides by 3:} \\ x=8\times3 \\ x=24 \end{gathered}[/tex]

nine times a number is -63:

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Find the slope of the line that is perpendicular to the line that passes through the following pair of points: (12, -16) and (-2, -11)

Answers

,First we need to find the slope of the line that passes through (12, -16) and (-2, -11)​

the slope can be calculated using these points

(12, -16)=(x1,y1)

(-2, -11)​=(x2,y2)

the formula to calculate the slope is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we substitute the values

[tex]m=\frac{-11+16}{-2+12}=\frac{5}{10}=\frac{1}{2}[/tex]

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m

so if m=1/2

the slope of a perpendicular line will be m=-2

a pirate keeps 2/3 of his coins in a treasure chest and distributes the rest equally among three crew members. if each crew member receives 25 coins, how many coins did the pirate keep

Answers

ANSWER:

150 coins

STEP-BY-STEP EXPLANATION:

We know that of the total that the pirate initially had 2/3 I keep them in a chest and the rest he distributed, the rest corresponds to 1/3 of the total.

Now, if each one received 25 coins, and 3 three members, it means that 1/3 is equivalent to 3 times 25 coins, that is, 75 coins.

Now, if 1/3 is 75 coins, 2/3 proportionally would be:

[tex]\begin{gathered} \frac{75}{\frac{1}{3}}=\frac{x}{\frac{2}{3}} \\ \text{ solving for x} \\ 225=\frac{3x}{2} \\ x=\frac{225}{3}\cdot2 \\ x=150 \end{gathered}[/tex]

Which means that the pirate kept 150 coins in the chest

Jill is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will she need in order to make the candle? Show your work.

Answers

Step 1:

First, write the formula and find the volume of the pyramid of height 10cm and base sides 9cm.

[tex]\text{Volume of a pyramid = }\frac{1}{3}\text{ base area }\times\text{ height}[/tex]

Step 2:

Find the base area

[tex]\begin{gathered} \text{The base is a square of length L = 9}cm \\ \text{Base area = Area of a square = L}^2 \\ \text{Base area = 9}^2 \\ \text{Base area = 81 }cm^2 \end{gathered}[/tex]

Step 3:

Find the volume of the pyramid.

[tex]\begin{gathered} \text{Volume of the pyramid = }\frac{1}{3}\times\text{ base area }\times\text{ height} \\ \text{Volume of the pyramid = }\frac{1}{3}\text{ }\times\text{ 81 }\times\text{ 10} \\ \text{Volume of the pyramid = }\frac{810}{3}\text{ = 270 }cm^3 \end{gathered}[/tex]

Step 4:

Find the volume of a cube of a candle wax of sides 4cm by 4cm by 4cm.

[tex]\begin{gathered} \text{Volume of a cube of side L = 4}cm\text{ is } \\ \text{Volume of a cube = 4 }\times\text{ 4 }\times\text{ 4} \\ \text{Volume of a cube = 64 }cm^3 \end{gathered}[/tex]

Step 5

To find the number of wax cubes she will need in order to make the candle

You will divide the volume of the pyramid by the volume of the cube.

The number of wax cubes she will need in order to make the candle

[tex]\begin{gathered} =\text{ }\frac{270}{64} \\ =\text{ 4.21875} \\ =\text{ 5} \end{gathered}[/tex]

Final answer

5 wax cubes

Which equation represents the line whose slope is 6 and whose y- intercept is 2?
Steps please

Answers

y=−2x+6

Explanation:

the equation of a line in

slope-intercept form

is.

∙xy=mx+b

where m is the slope and b the y-intercept

here m=−2and b=6

⇒y=−2x+6←

is the equation

Use the Distributive Property to factor: 3x2 + 3x + 9

Answers

Solution:

Consider the following expression:

[tex]3x^2+3x+9[/tex]

Applying the distributive property, we get:

[tex]3(x^2+x+3)[/tex]

Note that the term on the right is irreducible. Then, the correct answer is:

[tex]3(x^2+x+3)[/tex]

Which pair of numbers has a GCF of 5? A.15 and 30 C.45 and 9 B.5 and 21 D.20 and 55​

Answers

Answer:

D

Step-by-step explanation:

The GCF in answer choice A is 15.

The GCF in answer choice B is none.  

The GCF in answer choice C is 9 since 45 is divisible by 9 and 9 is divisible by itself

D is correct as 55/5 = 11 and cannot be divided anymore.  And 20 is divisible by 5

HI PLEASE HELP AND SHOW WORK 15 POINTS

Answers

The vertices of the hyperbola are (±2√3, 0), foci of the hyperbola are (±2√7, 0) and asymptotes are y = 2x/√3 and y = -2x/√3

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have an equation for the hyperbola:

[tex]16x^{2} - 12y^{2} = 192[/tex]

dividing each term by 192

[tex]\frac{x^{2} }{12} + \frac{y^{2} }{16} = 1[/tex]

[tex](\frac{x}{2\sqrt{3} } )^{2} + \frac{y^{2} }{4^{2} } = 1[/tex]

Here h = 0, k = 0, a = 2√3, and b = 4

c = √((2√3)²+4²) = 2√7

The first vertex is:

(h-a, k)

= (0 - 2√3, 0) = (-2√3, 0)

The second vertex is:

(h + a, k)

= (0 + 2√3, 0) = (2√3, 0)

The first focus is:

(h - c, k)

= (0 - 2√7, 0) = (-2√7, 0)

The second focus is:

(h + c, k)

= (0 + 2√7, 0) = (2√7, 0)

The asymptote is:

y = ± b/a(h - x) + k

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

Thus, The vertices of the hyperbola are (±2√3, 0), foci of the hyperbola are (±2√7, 0) and asymptotes are y = 2x/√3 and y = -2x/√3

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A vehide factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If u cars are made, then theunit cost is given by the function C(x)=1.1x^2638x+103,259. What is the minimum unit cost?Do not round your answer.

Answers

The cost function is given as,

[tex]C(x)=1.1x^2-638x+103259[/tex]

Obtain the first derivative as,

[tex]C^{\prime}(x)=1.1(2x)-638(1)=2.2x-638[/tex]

Obtain the critical points by equating the first derivative to zero,

[tex]C^{\prime}(x)=0\Rightarrow2.2x-638=0\Rightarrow2.2x=638\Rightarrow x=290[/tex]

Thus, the Cost function has an extrema at point 290.

Apply the second derivative test,

[tex]C^{\doubleprime}(x)=\frac{d \square}{dx}(2.2x-638)=2.2[/tex]

Since the second derivative is positive, the function attains minimum value at the critical point.

Therefore, it is concluded that the cost is minimum at 290.

Substitute the value in the function to obtain the minimum cost,

[tex]C_{\min }=C(290)=1.1(290)^2-638(290)+103259=10749[/tex]

Thus, the minimum unit cost is $10749 which corresponds to 290 units of cars.

2 (02.05)John bought 15 cookies and ate 3 of them. He ate% of the cookies. (Makpoints)3. (02.05)had $125 to spend at the ma. She spent

Answers

You have the following information:

- John bought 15 cookies

- John ate 3 of the 15 cookies

In order to calculate the percentage associated to the 3 cookies John ate, respect to the total cookies, you proceed as follow:

[tex]\frac{3}{15}(100)=\frac{300}{15}=20[/tex]

Hence, John ate 30% of the total number of cookies.

write a two column proof

Answers

The two-column method is used to prove that AB = CD as follows;

Statement                         [tex]{}[/tex]             Reasons

1. B is the midpoint of [tex]\overline{AC}[/tex]       [tex]{}[/tex]      Given

C is the midpoint of [tex]\overline{BD}[/tex]       [tex]{}[/tex]    

2. [tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]        [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex] 2. Definition of midpoint

3. [tex]\overline{BC}[/tex] ≅ [tex]\overline{CD}[/tex]       [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]  3. Definition of midpoint to a segment

4. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]       [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]   4. Transitive property of congruency

5. [tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex]        [tex]{}[/tex]             [tex]{}[/tex]             [tex]{}[/tex]   5. Definition of congruent segments

What are the details of the definitions, and properties used to prove that the segments [tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex]?

The midpoint of a segment in geometry is the point that bisects the line into two equal parts and serves as the centroid of the line. The distance from both ends of the segment to the midpoint are the same.

The transitive property of equality states that if a variable a equals a variable b and if the variable b equals the variable c then the variable a also equals the variable c.

Mathematically; If a = b, and b = c, then a = c

Two, segments, figures, or shapes in geometry are congruent if they have the same shape and size.

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This graph represents a linear or exponential function?A linearB exponential

Answers

As the graph is a straight line hence the it is a linear function.

is econometrics science or commerce related

Answers

Answer:

Yes,econometrics science and commerce are related

Solve: 9(x-9) + 8 = -19

Answers

we have the equation

[tex]9\left(x-9\right)+8=-19[/tex]

Solve for x

step 1

Apply distributive property on the left side

[tex]\begin{gathered} 9\left(x)-9(9\right)+8=-19 \\ 9x-81+8=-19 \end{gathered}[/tex]

Combine similar terms on the left side

[tex]9x-73=-19[/tex]

step 2

Adds 73 on both sides

[tex]\begin{gathered} 9x-73+73=-19+73 \\ simplify \\ 9x=54 \end{gathered}[/tex]

step 3

Divide both sides by 9

[tex]\begin{gathered} \frac{9x}{9}=\frac{54}{9} \\ \\ x=6 \end{gathered}[/tex]The answer is x=6
The answer is X=6
We do that by isolating the variable by dividing each side by factors without the variable in this case X.

5.Find the equation ofthe line:through: (0, -3) and (-1,-5)

Answers

first, we will find the slope

[tex]m=\frac{-5-(-3)}{-1-0}=\frac{-5+3}{-1}=\frac{-2}{-1}=2[/tex]

so, the slope is m = 2

now the equation of the line is

[tex]\begin{gathered} y-(-3)=m(x-0) \\ y+3=2x \\ y=2x-3 \end{gathered}[/tex]

so, the equation of the line is y = 2x -3

help me please


thank you

Answers

Answer:

(-7, 3)

Step-by-step explanation:

Since the endpoints of the interval are not included, use parentheses.

I was wondering if u could help me out with this question.

Answers

we will first change the hours for minutes

Danna

[tex]\frac{3}{10}\text{hours}\longrightarrow18\text{minutes}[/tex]

Steven

[tex]\frac{1}{6}\text{hours}\longrightarrow10\text{minutes}[/tex]

so, the new information is

Danna read 1/4 of the book in 18 minutes

Steven read 1/5 of the book in 10 minutes

now we express the time in a single minute and on pages of book

For Danna we divide all the ralation between 18

so

[tex]\begin{gathered} \frac{\frac{1}{4}}{18}book\longrightarrow\frac{18}{18}\text{minutes} \\ \\ \frac{1}{72}book\longrightarrow1\text{minute} \\ \\ \frac{1}{72}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 0.83\text{ pages}\longrightarrow1minute \end{gathered}[/tex]

For steven we divide all the relation between 10

so

[tex]\begin{gathered} \frac{\frac{1}{5}}{10}\text{book}\longrightarrow\frac{10}{10}\text{minutes} \\ \\ \frac{1}{50}\text{book}\longrightarrow1\text{minute} \\ \\ \frac{1}{50}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 1.2pages\longrightarrow1minute \end{gathered}[/tex]

we can conclude that steven reads more pages per minute than Dana because he she reads 0.83 pages per minute and steven 1.2 pages per minute

so the right statement is option B

In the following figure (AB) (CD) Suppose that m∡3=52°. What is the measure of ∡5? Explain your reasoning I NEED FULL DETAIL

Answers

Answer:

m∠5 = 52°

Step-by-step explanation:

Given

AB ║ CD and m∠3 = 52°

From the diagram we see that ∠3 and ∠5 are alternate interior angles, since located on opposite sides of the transversal.

As per definition, alternate interior angles are congruent and therefore:

∠5 ≅ ∠3, som∠5 = m∠3 = 52°

Answer:

m∠5 = 52°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

As line AB is parallel to line CD, angles 3 and 5 are alternate interior angles, and are therefore congruent according to the Alternate Interior Angles Theorem.

⇒ m∠5 = m∠3 = 52°

One angle of an isosceles triangle measures 42°. what measures are possible for the other two angles? choose all that apply.

Answers

The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

What is an isosceles triangle ?

An isosceles triangle is a triangle which has two equal sides and two equal angles.

It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.

We know that in an isosceles triangle the measure of two angles and two sides are equal.

The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.

∵ Sum of three angles of a triangle = 180°

∴ 42 ° + ( x + x ) = 180°

or

42 ° + ( 2x ) = 180°

2x = 180° - 42°

2x = 138°

or

x = 69°

As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.

Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

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Please help I need this for a text ASAP.

Answers

The values of x and y are 45 and 8.

What is a Linear Pair of Angles?

When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.

Given:

Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.

As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.

To determine the values of x and y we equate the given angles to 90°.

2x = 90°

⇒ x = 45

And 11y+2 = 90°

⇒ 11y = 90-2 = 88

⇒ y = 8

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Sarah used 3.5 cups of cheese in a dish that serves 10 people. What constant of proportionality relates the number of servings to cups of cheese?

Group of answer choices

0.35

0.05

0.5

0.25

Answers

Hii there your answer will be..

B. 0.05

pls mark brainleist
0.35pos marketing en las empresas

A genetic experiment with peas resulted in one sample of all springs that consisted of 414 green peas

Answers

Given

Confidence level = 90% = 0.90

green peas = 414

yellow peas = 155

Find

Estimate of the percentage of yellow peas.

Explanation

Confidence level = 90% = 0.90

number of successes = 155

sample size = 414 + 155 = 569

so ,

[tex]\hat{p}=\frac{x}{n}=\frac{155}{569}\approx0.2724[/tex]

for confidence level ,

[tex]1-\alpha=1-0.90=0.10[/tex]

so ,

[tex]z_{\frac{\alpha}{2}}=1.645[/tex]

margin of error =

[tex]\begin{gathered} E=z_{\frac{\alpha}{2}}(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}) \\ \\ E=1.645\times\sqrt{\frac{0.2724(1-0.2724)}{569}} \\ \\ E=1.645\times\sqrt{0.00034832731} \\ \\ E=0.03070150499\approx0.0307 \end{gathered}[/tex]

boundaries of the confidence level are

[tex]\begin{gathered} \hat{p}-E=0.2724-0.0307=0.2417=24.17\% \\ \hat{p}-E=0.2724+0.0307=0.3031=30.31\% \end{gathered}[/tex]

Final Answer

Hence , the estimate of the percentage of yellow peas is between 0.242 and 0.303

Find the values of x and y. please help <3

Answers

Answer:

x = 16

y = 17

Step-by-step explanation:

7x + 52 + x = 180 = (x = 16)

7(16) + 4y = 180 = ( y = 17)

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