14.
Solve x2 + 2 = 6 by graphing the related function.

A. There are no real number solutions.

B. There are two solutions: ±[tex]\sqrt{8}[/tex].

C. There are two solutions: 2 and –2.

D. There is one solution: 2

Answers

Answer 1

Answer:

C. There are two solutions: 2 and –2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

we know that

The solution of the function is equivalent to solve the following system of equations

 ------> equation A

 ------> equation B

The x-coordinate of the intersection point both graphs is the solution of the given function

Using a graphing tool

see the attached figure

The intersection points are  and  

therefore

The solution of the given function are

Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.

Answer: option C.

Step-by-step explanation:

Given  a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.

The options A is not opened upwards, then it is not the answer.

Then the given equation  can be written as:

This function is equal to the parent function, shifted 4 units down.

Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).

Then, the correct option is C. And the solution is:

14.Solve X2 + 2 = 6 By Graphing The Related Function.A. There Are No Real Number Solutions.B. There Are

Related Questions

If an relationship is proportional what is the missing value from the table?​

Answers

Answer : 12

Explanation :

In the first row of the table, we find that the -2 is the change, and in the third row -6 is the change.

Using this, we can find that the second row should have -4 subtracted from 16.

We know this because from looking at the changes from the first and second row, the differences multiply by two, as the rows increase. So -2 multiplied by 2 is -4, and 16 subtract 4 is 12.

these two questions plzz help mee

Answers

I think that the answer for question 6 is D. Hope this helps!

Find measure of angles B, E, D and C and the length of BC.


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

can someone help with this ASAPP <3, giving brainlist to anyone who answers

Answers

Answer:

1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

the strawberries cost 1.60

x pounds times 1.60 for the total cost of strawberries

for the raspberries it would be 1.75 times y

total cost or 1.60x + 1.75y must be less than ten or equal to because she can not spend more than that

The clock has a diameter of 22 inches. What is the circumference of the clock?

Answers

Answer:

The circumference is 44

Answer:

34.56

Step-by-step explanation:

C = 2πr = 2 · π · 5.5 ≈ 34.55752

What is the approximate distance between two points with coordinates (3,5) and (-4, -8)? Round your answer to the nearest hundredth.​

Answers

Answer:

15 (rounded) 14.7 (not rounded)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

use the distance formula

d = √((x2-x1)^2 + (y2-y1)^2)

d = √((-4-3)^2 + (-8-5)^2)

d = √((-7)^2 + (-13)^2)

d = √(49 + 169)

d = √218

d = 14.76 ≅ 15

there are 3 liters of orange juice at a school party. 10 students want to drinkable of the orange juice, and they all want to get exactly the same amount. how much orange juice can each get? help noooowwww

Answers

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

Find the are of the segment

Answers

Answer:

[tex](9\pi - 18)cm^2[/tex]

Step-by-step explanation:

To find the area of this section of the triangle, we will have to find the area of the sector, and then subtract the area of the triangle. To first find the area of the sector of the circle. Remember that the sector of a circle can be found using a proportion of angles. Since there is an angle of 90 degrees in the center. We will take that and divide it by 360 degrees, which is an entire circle. [tex]\frac{90}{360} = \frac{1}{4}[/tex], so the sector is one-quarter of the entire circle. Now find the area of the entire circle which will be [tex]\pi r^{2}[/tex]× [tex]\frac{1}{4}[/tex], where r is 6 since it is the radius of the circle. So therefore the area of the sectore will be a quarter of 36[tex]\pi[/tex], which is 9[tex]\pi[/tex].

Now you must find the area of the triangle with side length 6. Remember, this is an isosceles triangle with sides length of 6 because two of the sides are radii. Also, remember that this is a 90 degree triangle, so the area of the triangle is simply [tex]\frac{6*6}{2}[/tex], which is 18 cm^2.

Now to find the area of just the yellow segment, just take the area of the sector we found, and subtract the area of the triangle. Therefore, the answer is [tex](9\pi - 18)cm^2[/tex]

Hope this helped.

The measures of the angles of a triangle are shown in the figure below. Solve X.

Answers

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

(18)Calculate the volume of this shape

Answers

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

help please! the question is in the picture below for reference when answering! thank you so much!

Answers

Answer:

(a, 0) I give 50% credit to the answer in the comments

Step-by-step explanation:

Because it is isosceles, we must have the same y distance, (a) as an x distance

So we must have (a) in the x coordinate

The correct option is number 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?

Answers

I guess the answer is 405.

Because the value of 1 is 45 and 2×45 =90

9×45=405.

Hope it helps you:)

Step-by-step explanation:

students : Teachers

9 : 2

? : 90

students = 9 x 90 ÷ 2

students = 405

The question's attached in the file; I tried solving it in 4 different ways and ended up confusing myself more and more each time.

Answers

(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

Which letter in the word HAPPY has an order 2 rotational symmetry?

H
A
P
Y

Answers

Answer:Option 1) H

Step-by-step explanation:

Answer:

its H

Step-by-step explanation:

EDG 2021

I need help with first question ??

Answers

Answer:

Slope = 3

Step-by-step explanation:

Slope formula

(y2 - y1) / ( x2 - x1)

Where the x and y values are derived from the coordinates

Choose any two given ordered pairs and plug them into the formula

The points chosen may vary but the points I chose were (1,3) and (2,6)

( Note that ordered pairs are written as (x,y))

Next we want to define the variables

x1 = 1

x2 = 2

y1 = 3

y2 = 6

Finally we plug in the values into the slope formula

(6-3) / (2-1)

Subtract top values

3/(2-1)

Subtract bottom values

3/1

Simplify

slope = 3

what is the slope of the line that passes through (2,0) and (1,0)??

Answers

Answer:

The slope would be 0

Step-by-step explanation:

used a graphing calculator

hope this helps

How many kittens weigh at least 3/8 of a pound please help fast

Answers

if you count the number of x’s above 3/8 you should see 3, so the answer would be 3.

pls help me ill give brainliest and no links ty!<3:)

Answers

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

please help !!! 5 minutes !!!

Answers

Answer:

Step-by-step explanation:

2 is the correct answer

Answer:

4

Step-by-step explanation:

The answer is the LCM of all the denominators (Least Common Multiple)

All the denominators: 4, 2, 4

The LCM of this set of denominators is 4.

The answer is 4.

Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]

[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]

A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.

a) How much time does the otter take to get to the other side, if it points directly across the river?

Answers

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

What is speed?

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

To learn more about speed

https://brainly.com/question/21904438

#SPJ2

Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i

Answers

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

Answer:

O C. 16+5i

Step-by-step explanation:

=(4+12) + (7i-2i)

=16+5i

please help!!
find x

Answers

The square shows it’s a 90 degree angle so
X = 90 - 32
X = 58 degrees

Answer:

since the square indicates the angle is a right angle ( 90 ° )

then x = 90 - 32

x = 58 °

My grades depend on this question! Please help! Brainliest will be given out for this!​

Answers

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}​

Answers

here i hope this answer will help you

Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y

O y = IxI- 3

O 3x + 4y = 8

O 4x - 3y + 2 = 8x-5y+12929

Answers

Step-by-step explanation:

if you use the online graphing calculator it will help you

which of the following functions best describes this graph

Answers

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

[tex](5^{3})^{-3}[/tex] pls

Answers

[tex] \frac{1}{1953125} [/tex] ✅

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

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

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

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

justin surveyed his freibds about how mant pets they have use the data in the table to find the median mode and range

Answers

Answer:

where is the data from the table?

Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2


pls hurry

Answers

Y = 2. Is proportional equal
Not sure how to work this out but if you figure it out let me know as I struggle with this too!

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c
A=
B=
C=
Please I'm gonna fail math

Answers

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

Other Questions
When a project involves an entirely new product line, the firm may be able to obtain betas from to calculate a weighted average cost of capital (WACC) for its new product line.Consider the case of another company. Davis Printing is evaluating two mutually exclusive projects. They both require a $5 million investment today and have expected NPVs of $1,000,000. Management conducted a full risk analysis of these two projects, and the results are shown below. Risk Measure Project A Project B Standard deviation of project's expected NPVs $400,000 $200,000 Project beta 0.9 1.1Correlation coefficient of project cash flows (relative to the firm's existing projects) 0.7 0.5 Which of the following statements about these projects' risk is correct? Check all that apply. ? A. Project B has more corporate risk than Project A. B. Project A has more corporate risk than Project B.C. Project B has more stand-alone risk than Project A. D. Project A has more market risk than Project B Jeremys car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function? 1. Determine the length of JG usingcircle D.Show your work and write out yourjustification.Be prepared to answer questionsabout additional angles, arcs andsegments from circle D. Give the answer in its simplest form i need help quick!! i need steps please. i dont understand itwill mark brainliest. help me please: tan3x-tanx-1=0 can somebody help plz If the word rudiment is defined as a fundamental principle or skill, and the suffix -ary is defined as "of or relating to, what does the term rudimentary education mean?the education necessary for getting a joba manual educationan education gained through hard worka basic education A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train? fungsionalisme adalah? I need help pls and thank you Jax earned 144 points on a research project. In this situation, what is the number 144? Group of answer choices data information knowledge output What do the excerpts have in common? Both point out the tragic nature of situations in which children make journeys without their parents. Both describe what immigrant children must do to survive when traveling to the United States. Both explain why most children want to leave Central America without their parents. Both indicate the tragic problems and their consequences that children in Central America must face. Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml Which equation describes the line graphed above? What adaptation of vines help them grow on other plants in order to get more sunlight?a plant growing on a tree trunk Flexible stems Large leaves Strong roots Thick bark what is the role of the controlling tube The diagram shows a man standing next to a dinosaur.Estimate the height of the dinosaur. Write an equation. Let x be the unknown number. 10 is the sum of three and twice a number What is sin(51)?A. 0.51B. 1.23C. 0.78D. 0.63