Mathematics College

x^2+ 6x + 8
Vertex:
Axis of symmetry:
Y-intercept:
X-intercept:

Answers

Answer 1

Answer:

( + 2 ) ( + 4 )

Step-by-step explanation:

Answer 2

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)

To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3

To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)

To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).

Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).

X^2+ 6x + 8Vertex:Axis Of Symmetry:Y-intercept:X-intercept:

Related Questions

Plsss help me!! ASAP

Answers

Answer:

9

Step-by-step explanation:

if helpful please give me brainliest

I think I’m not sure 9/1 or 9

brainliest for answer

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Answer:

im not gonna help u~ but i can talk to u~ <3

Step-by-step explanation:

PLS HURRY. WILL MARK BRAINLEST!!!! JWKSNWN PLEASE I NEED IT!!

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Upper quartile is the upper half of the data, seems to be 22-28

Write a piece wise graph NEED ASAP PLEASE

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Answer:

C

Step-by-step explanation:

Here's the easy way. There are 3 equations. One of the equations uses y=1. So it must be C.

OKAY THIS TIME PLEASE ANSWER IN THE EXACT TERMS OF PI

Answers

Answer:

v = (1/48)π

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(1/4)³

v = (4/3)(1/64)π

v = (1/3)(1/16)π

v = (1/48)π

FOR 10O POINTS!! Solve for x

Answers

Answer:

the answer is A. 14

Step-by-step explanation:

Cory used 1/4 cup of flour to make pan cakes he used 4 cups of flour. How many servings of pancakes did Corey make?

Answers

Answer:

16

Step-by-step explanation:

4 x 4 = 16

7(3d + 12) if d=4 I don't know the answer please help.

Answers

Answer:

Its 21+84

Step-by-step explanation:

What is the solution of the system of equations?
y = 2x
Y = x+ 5
Ob. (2,7)
Oa. (0,5)
Oc. (1 2/3,6 2/3)
Od. (5, 10)

Answers

The solution of system of equations is (5, 10)

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

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1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP

Answers

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

Find the volume of this cone​

Answers

Answer:

[tex]\frac{6400\pi}{3}\approx 6702.06\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].

In this specific cone, the entire height of the cone is not given. However, we do see that it is broken up into two separate cones. Since one cone is inside/part of the other, these cones must be similar. Therefore, we can set up the following proportion to find the height of the smaller cone.

Let [tex]h_s[/tex] be the height of the small cone:

[tex]\frac{5}{h_s}=\frac{20}{12+h_s},\\\\20h_s=5(12+h_s),\\\\20h_s=60+5h_s,\\\\15h_s=60,\\\\h_s=4[/tex]

Therefore, the height of the largest cone is [tex]12+4=16[/tex]. Now we have all necessary information to find the volume of the cone:

[tex]V=\frac{1}{3}\cdot 16\cdot 20^2\cdot \pi =\frac{6400\pi}{3}\approx \boxed{6702.06\:\mathrm{cm^3}}[/tex]

Plz help me well mark brainliest if correct!!...

Answers

Answer:

You should stick with option D

SOMEONE PLS HELP MEEEEEEE

Answers

Answer:

area=(a+b)*h/2

63cm^3=(6+12)*x/2

63 cm^2=18x/2

63*2=18x

126/18=x

7=x

therefore x=7 cm

Step-by-step explanation:

Practice:

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°

a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise

Please select the best answer from the choices provided

Answers

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

How is finding the volume of prisms a bit like slicing a loaf of bread?​

Answers

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

How do your write a feaction with a denominator of 20 as a decimal?​

Answers

Answer:

Step-by-step explanation:

What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20

A day in the month of January is randomly selected What is the probability of selecting a perfect square?

a. 5/30
b. 6/31
c. 1/6
d. 5/31

Answers

Answer:

5/31

Step-by-step explanation:

there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)

The answer would be D

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain.

Answers

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

Learn more about the volume of the cylinder here:

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A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?

Answers

Where is the table? Can’t see

Answer:

The answer is 3 sorry if I am wrong

Step-by-step explanation:

1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1​

Answers

4/8=32 in think that’s the answer


Michelle wants to create a triangular flower bed and border it with scraps of picketfence that she has left over from another project. One scrap is 2 feet 2 inches long, a
second scrap is 4 feet 3 inches long and the third scrap is Sfeet inches long. If she uses these three pieces of fencing as the border, what kind of triangle will for the shape
of her flower bed?
Not a triangle
Right triangle
Acute triangle
Obtuse triangle

Answers

Answer:

The answer would be an obtuse triangle.

Step-by-step explanation:

The scraps of material would make more of a lopsided shape, and if you draw it out as i have, an obtuse triangle will form.

The shorter tree is 10 ft. tall, and casts a shadow that is 15 feet long. If the taller tree casts a 18 ft. shadow, how tall is the tree?

Answers

Answer: The height of the tree is 27 ft

the $700 you put into the bank is being continuously at 1.2%. how much will it be worth after 3 years?

Answers

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

Given the system of equations, what is the solution?5x - 4y = 7x = 5 - 3/2y

Answers

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

5x -4y = 7x = 5 -3/2y

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

d1 = (5)(3) -(2)(-4)d2 = (-4)(-10) -(3)(-7)d3 = (-7)(2) -(-10)(5)

Please match the a, b, h, k with the following function
y=3 - In (t – 7) + 2

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer: B

Step-by-step explanation: Ez

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.


[Not drawn to scale]



120 square centimeters

180 square centimeters

220 square centimeters

270 square cemtimeters

Answers

Answer:

220

Step-by-step explanation:

at party the pumpkin pie is cut into 14 slices and the cherry pies cut into seven slices if the host wants to serve identical plates that contained the same combination of pumpkin and Cherry sizes with no slices leftover what is the greatest number of plates the host can prepare

Answers

Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

Karen opened a savings account with $500. The money earns 0.2% interest per
month. If she does not make any withdrawals or any more deposits, approximately how
much money will Karen have in the account after two years?

Answers

Answer:2,500

Step-by-step explanation:

I'm guessing it is exponential, which means the balance increases by more over time, so the equation would be

500(1+0.002)^2=520.2002

or rounded to 502

At a marlin fishing tournament, the winning fish was 342 5/16 pounds. The average fish caught weighed 167 3/8 pounds. What is the difference between the weight of the winning fish and the weight of the average fish caught?

Answers

Step 1: Subtract the average from the winning tournament pounds
342 5/16 - 167 3/8 = 174 15/16

Therefore, the DIFFERENCE between not is 174 15/16

Answer:

174 15/16 lbs or 2799/16 lbs

Step-by-step explanation:

to find the difference of the weight of the winning fish and the avg fish, I'm assuming you just need to subtract the values from each other.

so first I'm just gonna convert the mixed numbers into improper fractions because its easier to do math that way (for me).

342 5/16 = 5477/16 winning fish

167 3/8 = 1339/8 avg fish

now I need to find the difference between them so I'll just subtract the smaller number from the bigger number.

5577/16 - 1339/8 = difference

but wait oh no, they don't have the same denominator, so I'll multiply the 1339/8 by 2/2 so that I get a number over 16.

5577/16 - 2678/16 = difference

2799/16 lbs or 174 15/16 lbs (if you want to convert it into a nice mixed number)

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