Consider the given function. Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.

Answers

Answer 1

Answer:

Following are the solution to the gvien question:

Step-by-step explanation:  

Let the quadratic equation is:

[tex]\to h(x) = (x + 1)^2 - 4[/tex]

vertex is:

[tex]\to h(x) = a(x -h)^2 + k[/tex]

(h) = axis of symmetry

(h,k) = vertex.

By using the given equation:

[tex]h(x) = (x - (-1))^2 - 4[/tex]

Hence,

[tex]h = -1 \\\\ k = -4[/tex]

line of symmetry [tex]x = -1[/tex]  

vertex is [tex](h,k) = (-1,-4)[/tex]

finding the x intercept:

 [tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]

x -intercepts -3,1

Calculating the y-intercept when x = 0 putting into the real equation:

[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]

Please find the graph file in the attachment.

Consider The Given Function. Plot The X-intercept(s), Y-intercept, Vertex, And Axis Of Symmetry Of The

Related Questions

Câu 19: Tổng của một số số nguyên dương (không nhất thiết khác nhau) bằng 11. Hỏi tích của chúng có thể đạt giá trị lớn nhất bằng bao nhiêu? A. 40 B. 48 C. 54 D. 96

Answers

Answer:

Lựa chọn A

Step-by-step explanation:

Được

Tổng của hai số nguyên dương = 11

Hai số có thể được chia thành hai phần là 6 và 5 hoặc (7 và 4), (8 và 3), v.v.

Vậy sản phẩm tối đa có thể thu được là 30

Vậy phương án A là giải pháp gần nhất

M is the midpoint od AN, A has coordinates (-4,-4), and M has coordinates (-7,1). Find the coordinates of N

Answers

Answer:

Since M is the Midpoint.

M(-7,1)

A(-4,-4) N(x,y)

From Midpoint Formula

-7 = -4 + x/(2)

-14=-4+x

x=-10

1=-4+y/2

2=-4+y

y=6.

N has the points (-10,6).

Hope this helps!

Answer:

Solution given:

A(x1,y1)=(-4,-4)

M(x,y)=(-7,1)

N(x2,y2(x,y) let

we have

midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}

(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value

-7=(-4+x)/2

-14=-4+x

x=-14+4

x=-10

and

1=(-4+y)/2

2=-4+y

y=4+2

y=6

coordinates of N is (-10,6)

How many negative integers are there
between -5 and 2?
A 6
C 4
B 5
D 3​

Answers

Answer:

There are 4 negative integers between -5 and 2

The first three members of a sequence are shown.
How many dots are in the full fourth member of the
sequence?



Please help! solve using picture. will mark as brainliest !

Answers

Answer:

As a result, seen in the picture the answer will be 14 which is letter b.

Step-by-step explanation:

1 + 5 + 9 =14.

Hopes this help.

Good luck.

A line has equation y= −2/3 x-4.Write down the y-intercept of the line.

Answers

-2/3 is your y-internet

What is the perimeter of a rectangle with a length of 6 and a width of 5?

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Length of the rectangle (l) = 6

Width of the rectangle (w) = 5

Perimeter of the rectangle (p) = ?

[tex]p = 2(l + w) \\ p = 2(6 + 5) \\p = 2(11) \\ p = 2 \times 11 \\ p = 22 \: \: units[/tex]

The perimeter of the rectangle (p) is 22 units.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

What is the base of the expression 1113?
3
11
12
21

Answers

Answer:

7

Step-by-step explanation:

I just guessed 7 and believe me its right

Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units
up is triangle ABC congruent to triangle ABC?

Answers

Answer:

yes the triangle is congruent, because you did not use any transformations you on used translations.

but if you used transformations it would be similar not congruent

yes it is congruent to the other triangle

What two numbers multiply to get -36 but add to -16

Answers

Answer:

-18 and 2

Step-by-step explanation:

- 18 x 2 = -36

-18 + 2 = -16

Answer:

-18 & 2

Step-by-step explanation:

-18 * 2 = -36

-18 + 2 = -16

The constants a, c and d are positive. Solve the inequality for x.
d - cx > a

Answers

Answer:

x < (d - a)/c

Step-by-step explanation:

d - cx > a

cx < d - a

x < (d - a)/c

Answer:

It's B

Step-by-step explanation:

Solve the system of equations using the substitution method.
-5x − 3y = 16
y = x
(x, y) = (
,

Answers

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer:

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

Step-by-step explanation:

Question

[tex] - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2[/tex]

Now you can write the 1st equation like this.

[tex] - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3[/tex]

Now simply Solve the 3rd equation

[tex] - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2[/tex]

Now replace y as 2 in the 2nd equation like this

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

Now let's check whether the answer correct or wrong

[tex] - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16[/tex]

Yes, the answer is correct

hope this helps you !!

what is the algebraic expression for 11 times a number x, minus a second number y ?​

Answers

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

11x - y is the answer, if you need more help lmk!

please help mee i dont understand

Answers

Answer:

Step-by-step explanation:

(2x-5)(x+6)=0

either 2x-5=0               Or, x+6=0

2x-5=0

2x=0+5

x=5/2

x+6=0

x=0-6

x=-6

so x=5/2 , x=-6

x = -6, x = 5/2

separate and set both equations to zero and solve for x

2x-5=0 2x =5 x=5/2

x-6=0 x=-6

hope this helps

Find x, given that the mean of 50, 70, 70, 80, 90, 100, 120 and x is 110

Answers

Value of " x " is :

[tex] \boxed{ \boxed{300}}[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Larry conducts an experiment with groups randomly assigned to one of three conditions: (1) writing about traumatic events, (2) writing about happy events, OR (3) writing about neutral events. Larry then measures the number of visits each participant makes to the health center over the next six months. Larry gives the participants a pretest regarding their health visits prior to the study so that he can create sets of participants who are equivalent on that variable. In this design, Larry has used _________ sets.

Answers

Answer:

Matched set

Step-by-step explanation:

The type of set created here is a matched set where each of the participants are are grouped into variables equivalent to thwor number of visits which is based in prior investigation. The set of participant classed in to each group of neutral, traumatic and happy events are similar based on the grouping condition which is the number of health visits. Hence, when we have classes formed from equivalent behavior of characteristic based on the essence of an experiment, we have matched set.

Determine whether each sequence is arithmetic or geometric. Sequence 1: –10, 20, –40, 80, ... Sequence 2: 15, –5, –25, –45, ...
A. Sequence 1 is arithmetic and Sequence 2 is geometric.
B. Both sequences are geometric.
C. Sequence 2 is arithmetic and Sequence 1 is geometric.
D. Both sequences are arithmetic.
sequence 2 may be arithmetic because -20 but I can't find out what sequence 1 is

Answers

Answer:

C. Sequence 2 is arithmetic and Sequence 1 is geometric.

Step-by-step explanation:

Arithmetic sequence is where number is continuously increased or decreased in same amount we can see that the second sequence is decreases by 20 continuously

Geometric sequence is where a number is continuously divided or multiplied by same number

we can see that the first sequence is continuously multiplied by (-2)

Latavia purchased adult and child tickets for the fall festival. Tickets cost $14.88 for each adult and $8.88 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Latavia purchased.

Answers

Answer:

14.88x + 8.88y =

Step-by-step explanation:

This may be wrong but I think it’s this

Answer:

14.88x+8.88y=T

x+y= T

Step-by-step explanation:

Offering 30 points and branliest ‼️‼️‼️ show work

Answers

Dang, I'm only 12 I don't knowwwww

Answer:

hey buddy sorry i dont know the answer hope this help

Step-by-step explanation:

Theresa has an umbrella stand at the beach. - All of them are blue, except for six. - All of them are yellow, except for six. - All of them are red, except for six. How many blue umbrellas does Theresa have?

Answers

Answer:

3 Blue Umbrellas

Step-by-step explanation:

Given

[tex]B \to Blue[/tex]

[tex]Y \to Yellow[/tex]

[tex]R \to Red[/tex]

From the question, we have:

[tex]Y + R = 6[/tex] ---- i.e. 6 are not blue

[tex]B + R = 6[/tex] ---- i.e. 6 are not yellow

[tex]B + Y = 6[/tex] ---- i.e. 6 are not red

Required

The number of blue umbrellas

Make B the subject in: [tex]B + Y = 6[/tex]

[tex]B = 6 - Y[/tex]

Substitute: [tex]B = 6 - Y[/tex] in [tex]B + R = 6[/tex]

[tex]6 - Y + R = 6[/tex]

Collect like terms

[tex]R - Y = 6 - 6[/tex]

[tex]R - Y = 0[/tex]

Rewrite:

[tex]R = Y[/tex]

Substitute [tex]R = Y[/tex] in [tex]Y + R = 6[/tex]

[tex]Y + Y = 6[/tex]

[tex]2Y = 6[/tex]

Divide both sides by 2

[tex]Y=3[/tex]

Recall that: [tex]B = 6 - Y[/tex]

[tex]B = 6 - 3[/tex]

[tex]B = 3[/tex]

The Vangsgas bill for November was $53. The December bill was
30 more than that, and January's bill was $49 more than December's
bill. They found that the total for the 3 months was $238. Is this
Explain

Answers

Answer: the right answer is 268

Step-by-step explanation:

Since November was $53 you add 30 more to get Decembers bill you will get it $83 for December. Next you add $49-$83 to your January and that will be 132. You are all through the month so will be $53+$83+132 =268

Hi Gus helps assap:(:)) choose a answers for these two questions don’t answer if You don’t know but yeah :)))

Answers

Answer:

go and di

Step-by-step explanation:

radius stops halfway thru the shape

Guys, I have a test today! Pls answer this wisely, I have to turn it in!!!!

Answers

Im sorry i can’t give you a better answer but I would say other. It isn’t linear because plotting those points wouldn’t result in a straight line. It isn’t exponential because if it was, 1 raised to any power would always give you 1. So that leaves you with 1 other choice. Other.

I hope someone can get you a better answer and good luck❤️

Answer

Other

Step-by-step explanation:

If it was linear, it would have 1 multiplier. If it was exponential, it would have a pattern.

4x+ 5 = 2x + 13..........

Answers

Answer:

x = 4

Step-by-step explanation:

4x + 5 = 2x + 13

4x - 2x + 5 = 2x - 2x + 13

2x + 5 = 13

2x + 5 - 5 = 13 - 5

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

Question

[tex]4x+ 5 = 2x + 13[/tex]

[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+5=2x+13[/tex]

[tex]Simplify[/tex]

[tex]4x=2x+8[/tex]

[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]

[tex]4x-2x=2x+8-2x[/tex]

[tex]Simplify[/tex]

[tex]2x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

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

[tex]x=4[/tex]

Answer

[tex]x=4[/tex]

-------------------------hope it helps...have a great day!!

Un dulce de chocolate de 30gr, marca en su empaque que contiene el 10% de cocoa, ¿Cuántos gramos de cocoa representa esto?

Answers

Answer:

The mass of cocoa in chocolate candy is 3 g.

Step-by-step explanation:

30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?

mass of chocolate candy = 30 g

cocoa contains = 10 %

Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g

Mass of cocoa in the candy is 3 g.

please help i need helpppppp

Answers

Answer:

15.62

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]10^2+12^2=c^2[/tex]

[tex]100+144=c^2[/tex]

[tex]c^2=244[/tex]

[tex]\sqrt{244} =[/tex] 15.62

Answer:

first option

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

x^2 + 10^2 = 12^2

x^2 + 100 = 144

x^2 = 144 - 100

x^2 = 44

x = [tex]\sqrt{44}[/tex]

x = 6.63

Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock, and hip hop. Jessica
downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Which system of equations represents their music choices?

Answers

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

what types of concurrent constructions are needed to find the centroid of a triangle?

Answers

Answer:  intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

Step-by-step explanation:

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

4/28 (simplified to 1/7)

Step-by-step explanation:

Given:

There are 28 total students in the class9 of them play basketball17 of them play baseball6 of them play neither sport

Question:

What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer:

Because we know there are 28 total students in the class and 6 play neither basketball nor baseball, then there are 28-6 = 22 students who either play ONLY basketball, ONLY baseball, or bothWe know that 9 out of the 22 play basketball and 17 out of the 22 play baseballTherefore, 22-9 = 13 students play ONLY basketball, and 22-17 = 5 students play ONLY baseballThis means that the amount of students that play BOTH basketball and baseball is 22-(13+5) = 22-18 = 4 studentsTherefore, the probability that a student chosen randomly from the class plays both basketball and baseball is 4/28 or 1/7

10(h+1) - 4 = 76
please help

Answers

Answer:

Step-by-step explanation:

10(h+1)-4=76

10h+10-4=76

10h+6=76

10h=76-6

h=70/10

h=7

Which expression is equivalent to .,,. PLEASE HELPPPPPPP

Answers

B. [tex]6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](6 {x}^{3} + 3 {x}^{2} + 8) + (2 {x}^{2} - 9x + 10) \\ = 6 {x}^{3} + 3 {x}^{2} + 2 {x}^{2} - 9x + 8 + 10 \\ = 6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

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