what are the intercepts of x^2 +8x+16​

Answers

Answer 1

Answers:

x intercept = -4

y intercept = 16

The graph is shown below.

=======================================================

Explanation:

To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.

y = x^2 +8x+16​

0 = x^2 +8x+16​

x^2 +8x+16​ = 0

(x+4)^2 = 0

x+4 = 0

x = -4

There's only one x intercept. It's located at the vertex of the parabola.

The location of the x intercept is the point (-4,0)

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

To find the y intercept, we plug in x = 0 and compute like so:

y = x^2 +8x+16​

y = (0)^2 +8(0)+16​

y = 16

The y intercept is 16 which is located at (0,16)

Check out the graph below. It was made using the free app Desmos.

What Are The Intercepts Of X^2 +8x+16

Related Questions

The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.

Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams

Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation

1.5 s

2.4 s

What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65

Answers

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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Divide.round to the nearest tenth .16÷.03220

Answers

Answer:

5.0

Step-by-step explanation:

0.16÷0.03220=4.9689

=5.0

determine weather y varies directly with x. if so, find the constant variation and write the equation

Answers

Answer:

Yes, k = 1/3 and y = 1/3x

Step-by-step explanation:

[tex]\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx[/tex]

[tex]\text{Therefore y varies directly as x.}The line passes through the point (3,1)}[/tex]

[tex]\text{This implies that,}[/tex]

[tex]1=k(3)\\k=\frac{1}{3}[/tex][tex]\text{Hence the constant of variation is}[/tex] ⇒ [tex]\frac{1}{3}[/tex]

The equation would be ⇒ [tex]y=\frac{1}{3} x[/tex]

Given the graph of the pre-image and image, identify the correct
coordinate transformation.

Answers

The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is [tex](x,y) \longrightarrow (x+2, y+2)[/tex]

Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.


Describe a sequence of transformations that will take figure M onto its congruent image, figure N.


EXPLAIN THE ANSWER!!

Answers

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

[tex]\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)[/tex]

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

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Help please I will do anything

Answers

Answer:

? = 12

Step-by-step explanation:

[tex]\frac{7}{12} +\frac{10}{12} =\frac{7+10}{12} =\frac{17}{12}[/tex]

[tex]\frac{17}{12} =\frac{12}{12} +\frac{5}{12} =1+\frac{5}{12} =1\frac{5}{12}[/tex]

Hope this helps

Lines l and m are parallel and intersect transversal p, as shown in the diagram below.


What is the value of n?

A 6
B 10
C 20
D 24

Answers

The answer is c
Explanation: believe me

What is the value of y?

Answers

Answer:

Step-by-step explanation:

I can give you the meaning of Y

Y is the vertical value in a pair of coordinates. In other words how far up or down the point is. The Y coordinate is always written second in an ordered pair of coordinates (x,y) when used. A example from the internet is:

Cai drove 189 miles in 7 hours. If he continued at the same rate, how far would he
travel in 12 hours?

Answers

I think it is 324, I divided 189 by 7 which gave me 27 mph so I multiplied 27 by 12 which gave me 324 mph.

If 22% of high school students say they eat out 3 times a week, how many students of the 2346 students who attend WHS would you expect eat out 3 times a week?

Answers

Answer:

516 students eat out 3 times a week

Step-by-step explanation:

22% of 2346 is 516.12 and a person can't be a decimal so it's 516

22 x 2346 = 51612
and 51612÷100 = 516.12

We would expect about 516 WHS students to eat out 3 time

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that 22% of high school students say they eat out 3 times a week

We need to find the number of students  of the 2346 students who attend WHS would you expect eat out 3 times a week

We can start by using the proportion:

(22/100) = (x/2346)

where x is the number of students we would expect to eat out 3 times a week.

To solve for x, we can cross-multiply:

100x = 22 × 2346

100x = 51612

Divide both sides by 100

x = 516.12

Hence, we would expect about 516 WHS students to eat out 3 time

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Plato trigonometry is crazy

Answers

Answer:

The answer is A. 21

i hope this can help you! :)

Answer:

a)21

-step explanation:

The inverse of the function f(x) =
f(x) = x + 10 is shown.
h(x) = 2x-0
What is the missing value?
0 1
05
O 10
O 20

Answers

Answer: 20

Step-by-step explanation:

Let [tex]f(y)=x[/tex]

[tex]x=\frac{1}{2}y+10\\\\x-10=\frac{1}{2}y\\\\y=h(x)=2x-\boxed{20}[/tex]


Find the domain and range of the function graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex](-\infty, \infty)[/tex]Range: [tex](-\infty, -1][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

help Which statement describes the pattern shown?
*
1 point
Captionless Image
A. Each figure has 3 fewer squares than the one before it.
B. Each figure has 6 fewer squares than the one before it.
C. Each figure has 3 more squares than the one before it.
D. Each figure has 6 more squares than the one before it.

Answers

A pattern is a recurring arrangement of numbers, forms, colours, and so on.

What is a pattern?

In mathematics, a pattern is a recurring arrangement of numbers, forms, colours, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.

As per the pattern, Each figure has 3 more squares than the one before it.

Hence, the correct option is C.

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The price of a cup of coffee was 2.40 yesterday. Today, the price rose to
2.75. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

≈ 14.6%

Step-by-step explanation:

percentage increase is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

increase = 2.75 - 2.40 = 0.35 , then

percentage increase = [tex]\frac{0.35}{2.40}[/tex] × 100% ≈ 14.6% ( to the nearest tenth )

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 63 ?

Answers

Answer:

43

Step-by-step explanation:

63-3/3=20 63-20

Answer:

mark has 18

don has 45

Step-by-step explanation:

Which expression is equivalent to (15²)(15^-7)?

A 15^-21
B -15^4
C 1/15^4
D 1/15^-4

Answers

Answer:

there is no answer

Step-by-step explanation:

If you multiply 15^x by 15^y, the answer is 15^(x+y) so 2 plus -7 is negitive 5.

but there is no answer equal to this.

The equivalent expression will be;

⇒ 15⁻⁵

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (15²) × (15⁻⁷)

Now,

Since, The expression is,

⇒ (15²) × (15⁻⁷)

Hence, We solve as;

⇒ (15²) × (15⁻⁷)

⇒  15²⁻⁷

⇒ 15⁻⁵

⇒ 1 / 15⁵

Thus, The equivalent expression is,

⇒ 15⁻⁵

⇒ 1 / 15⁵

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The graph shows the function f(x) = 2x.
What is the value of x when f(x) = 8?

Answers

[tex]\large\orange\implies \rm \large \:f(x) \: = \: 2x[/tex]

We have to find x when f(x) is 8

[tex]\large\orange\implies \rm \large \:8 = \: 2x[/tex]

[tex]\large\orange\implies \rm \large \: \cancel\frac{8}{2} \: = \: x \\ [/tex]

[tex]\large\orange\implies \rm \large \: \: 4 \: = \: x[/tex]

The value of x is 4 when f(x) is 8

[tex]f(x) \: = \: 2x[/tex]

We have to find x when f(x) is 8

[tex]8 = \: 2x[/tex]

[tex]x = \frac{8}{2} \\ \\ x = 1.[/tex]

The value of x is 4 when f(x) is 8 .

find y please help meeee :)

Answers

Answer:

the interior angle of a triangle = 180- 89 ( forming linear pair)

= 91°

y = 91 + 23

Y = 114° ( sum of interior angle of a triangle ls equal to its outer angle)

Answer:

114

Step-by-step explanation:

Angle A + 89 = 180 (Sum ofAngles in a straight line)

Angle A = 180 - 89 = 91

Angle B + Angle A + 23 = 180 (Sum of angles in a triangle)

Angle B + 91 + 23 = 180

Angle B = 180 - 114 = 66

Angle B + y = 180 (Sum of angles in a straight line)

66 + y = 180

y = 180 - 66 = 114

Refer to the attached picture.

Write an expression that contains atleast two terms and is in simplest form

Answers

Answer: x-1

Step-by-step explanation:

what is the volume of this complex figure

Answers

The volume of the given figure is 210 cubic in..

We need to find the volume of the given figure.

What is volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Divide the given figure into two convenient cuboids. That is one with dimensions length=4 in., breadth=2 in. and height=3 in. Another with length=4 in.breadth=4 in. and height=12 in.

We know that, the volume of cuboid =l×b×h cubic units.

Now, the volume of the cuboid=4×2×3=18 cubic in. and the volume of another

cuboid=4×4×12=192 cubic in.

The volume of the given figure=18+192=210 cubic in.

Therefore, the volume of the given figure is 210 cubic in.

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f(x)=x2 what is g(x)

Answers

Answer:

-x^2-2

Step-by-step explanation:

So by looking at the two curves it appears that g(x) is simply a reflection of f(x) over the x-axis and then shifted 2 units down. So to reflect the parabola you simply make the x^2 negative to get -x^2 and then to go 2 units down you subtract 2 from the -x^2. This gives you the equation

[tex]g(x)=-x^2-2[/tex]

Let E be the event where the sum of two rolled dice is greater than or equal to 7. List the outcomes in Ec.

Answers

Answer:

(1, 1)  (1, 2)  (1, 3) (1,4)

(1,5)  (2,1)   (2,2) (2,3)

(2,4)  (3,1)  (3,2)   (3,3)

(4,1)   (4,2) (5,1)

Step-by-step explanation:

An event is a specified set of results of a random experiment in probability theory. The number of possible outcomes that Event E has is 21.

What is an event?

An event is a specified set of results of a random experiment in probability theory. Because the sample space is the collection of all potential outcomes of a random experiment, another definition of an event is any subset of a sample space.

Let E be the event where the sum of two rolled dice is greater than or equal to 7. Therefore, the outcomes in E are represented in red in the given table below.

(1, 6)

(2, 6)

(3, 6)

(4, 6)

(5, 6)

(6, 6)

(2, 5)

(3, 5)

(4, 5)

(5, 5)

(6, 5)

(3, 4)

(4, 4)

(5, 4)

(6, 4)

(4, 3)

(5, 3)

(6, 3)

(5, 2)

(6, 2)

(6, 1)

Hence, the number of possible outcomes that Event E has is 21.

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Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more daisies than roses.

how much did the roses cost?

Answers

Answer:

20

Step-by-step explanation:

Answer:

20$ For the Roses

Step-by-step explanation:

Think about it like this. For each daisy (1$), the price is double for roses (2$).

Brad has a limit of 33$. And he bought 3 more daisies than roses.

If each daisy is 1$, and he bought 3+ over roses, take away 3$ to get 30$. If he bought 10 (excluding 3+) Daisies, He must have bought 10 roses.

(10 Daisies = 10$) + (10 Roses = 20$) = 30$

30$ + (3 Daisies = 3$) = 33$

if angle X is an acute angle with tan X = 8/7, what is the value of sec X?

Answers

Answer: [tex]\frac{\sqrt{113}}{7}[/tex]

Step-by-step explanation:

As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.

Using the identity [tex]1+\tan^{2} X=\sec^{2} X[/tex],

[tex]1+\left(\frac{8}{7} \right)^{2}=\sec^{2} X\\\\\sec^{2} X=\frac{113}{49}\\\\\therefore \sec X=\boxed{\frac{\sqrt{113}}{7}}[/tex]

I don’t get this question
Simplify 4.5:9.9:8.1
Please help

Answers

Answer:

5:11:9

Step-by-step explanation:

Change the decimal to fractions

45/10:99/10:81/10

Multiply through by the Lowest Common Factor 10

10×45/10:10×99/10:10×81/10

Which makes it

45:99:81

They have a common factor which is 9, so divide through by 9

45/9:99/9:81/9

Your answer is

5:11:9

Hope it helps

Question 6b
6b of 6
The width of a rectangle is 15 centimeters less than its length. If the area of the
rectangle is 100 square centimeters, find the length and the width using the formula
A = lw.
O Length = 25 centimeters and Width = 10 centimeters
○ Length = 20 centimeters and Width = 5 centimeters
O Length = 115 centimeters and Width = 100 centimeters
○ Length = 5 centimeters and Width = 20 centimeters

Answers

Answer:

○ Length = 20 centimeters and Width = 5 centimeters

Step-by-step explanation:

Let the length = L

Then the width is L - 15

A = lw

100 = L(L - 15)

L² - 15L - 100 = 0

(L - 20)(L + 5) = 0

L - 20 = 0  or  L + 5 = 0

L = 20  or  L = -5

Since a length of a rectangle cannot be negative, we discard the solution L = -5 and keep the solution L = 20.

L = 20

width = L - 15 = 20 - 15 = 5

Answer:  ○ Length = 20 centimeters and Width = 5 centimeters

hi i really need help with this it is due tonight

Answers

Answer:

[tex]1)\text{ Friday}\\2)\text{ }7:00\\3a)\text{ }0\\3b)\text{ }4\\3c)\text{ }0\\4a)\text{ }6\\4b)\text{ }4\\4c)\text{ }2[/tex]

PLEASE ITS DUE TODAY

Complete the table for the given rule

Rule: Y = 4x

X | Y
5
3
4

Answers

Answer:

Answers are 20, 12 and 16

Step-by-step explanation:

Y=4x

for x = 5

y=4(5)

y=20

for x = 3

y=4(3)

y=12

for x = 4

y=4(4)

y=16

Answer:

X I Y

5 20

3 12

4 16

Step-by-step explanation:

since y=4 multiplied by x

so, 5x4=20

3x4=12

4x4=16

Margo borrows $600, agreeing to pay it back with 7% annual interest after 8 months. How much interest will she pay?

Answers

The interest which has to be paid is $28.

Simple Interest amount can be estimated by the product of principal amount, rate of interest, and time in year.

Simple Interest= S.I. =p*t*r/100

where p is the principal amount,

r: interest rate (%)

t: the time (in year).

Here, given,

Margo has taken borrowed $600 with an annual interest of 7% which has to be paid within 8 months.

principal amount P = $600

rate of interest= r=7%

time=t=8 months= 2/3 year

using the above-mentioned formula,

Simple Interest S.I.= p*t*r/100= (600*(2/3)*7)/100= $28

Therefore the interest which has to be paid is $28.

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The envelope of air that surrounds the Earth where all weather events happen is called (1) ___________. It isdivided into five layers based on the (2) ____________________ and (3) ____________________.The (4) ____________________ is the layer closest to Earths surface. The temperature just above the groundis hotter than the temperature high above. Weather occurs in the troposphere because this layer has most of the watervapor.The (5) ____________________ is the layer of air that extends to about 50 km from the Earths surface. Manyjet planes fly in the stratosphere because it is very stable. It is in the stratosphere that we find the ozone layer.The layer between 50 km and 80 km above the Earths surface is called the (6) ____________________. Air inthis layer is very thin and cold. Meteors or rock fragments burn up in here.The (7) ____________________ is between 80 km and 110 km above the Earth. Space shuttles fly in this area,and it is also where the auroras are found. 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