Which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0? 2(x + 6)2 = 26 2(x + 6)2 = 20 2(x + 3)2 = 32

Answers

Answer 1

Answer:

The equation which reveals the minimum value for the equation is  2·x² + 12·x - 14 = 0 is the option;

2·(x + 3)² = 32

Step-by-step explanation:

The given function can be presented as follows;

2·x² + 12·x - 14 = 0

The quadratic equation in standard form is a·(x - h)² + k

Where;

(h, k) is the vertex of the parabola

Given that the coefficient of the x² is positive, the graph is U-shaped and the lowest point is given by the vertex of the graph as follows;

2·x² + 12·x - 14 = 2·x² + 12·x - 14 = 2·(x² + 6·x - 7) = 0

2·(x² + 6·x - 7) = 2·(x² + 6·x + 9 - 7 - 9) = 2·((x + 3)² - 16)

2·((x + 3)² - 16) = 2·(x + 3)² - 32 = 0

∴ 2·x² + 12·x - 14 = 2·(x + 3)² - 32 in vertex form

The minimum value (vertex, (h, k)) for the equation = (-3, -32)

Therefore, the equation which reveals the minimum value for the equation is 2·(x + 3)² = 32

Answer 2

Answer:

2(x + 3)2 = 32

Step-by-step explanation:

I took the test.


Related Questions

What is the area of the figure below?
36m^2
60m ^2
72m^2
96m^2

Answers

Answer:

Hello!!

your answer will be option D.96m^2

Step-by-step explanation:

[tex]a = 6 \times 10 + \frac{6 \times 12}{2} = 96m ^{2} [/tex]

hope it's helpful

have a great day

Pleeease! HEEEELLP!!

Answers

Answer:

y = 2x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 and c = - [tex]\frac{3}{4}[/tex] , then

y = 2x - [tex]\frac{3}{4}[/tex] ← equation of line

Answer: [tex]y=2x-\frac{3}{4}[/tex]

Step-by-step explanation:

We are going to have to put this into slope-intercept form

"y=mx+b"

m=slope

b=y-intercept

slope=2

y-intercept= [tex]-\frac{3}{4}[/tex]

Now we can put it all together, and remember the will always stay in the equation as it does not stand for anything.

[tex]y=2x-\frac{3}{4}[/tex]

Complete the statement with equal to, greater than, or less than. 4/5 × 2 1 /5 will be greater than,less than or equal to 2 1 /5 .

Answers

Answer:

4/5 x 2 1/2 < 2 1/2

Step-by-step explanation:

1/5 x 2 1/5 is 1/2 of 2 1/2 so 2 1/2 would be greater.

You go to the store to buy a Playstation 5 which cost 499 dollars. If you had to
pay San Jose's sales tax which is 9.25%. How would you solve the problem to find
the total cost? *

What is the total cost?*

Answers

Answer:

$545.1575

Step-by-step explanation:

Given function:

499,9.25

Solve ways:

combine 9.25% of 499 and 499

Multiply 9.25 by 0.01:

[tex]9.25%[/tex]·[tex]0.01=0.0925[/tex]

Multiply the cost by 0.0925:

[tex]499[/tex]·[tex]0.0925= 46.1575[/tex]

Combine 46.1575 by the first value:

[tex]499+ 46.1575= 545.1575[/tex]

Therefore, the PlayStation 5 will be a total cost of $545.1575.

which is the equation of the line that passes through the points (4,3) and (6,2)

Answers

Answer:

y = -1/2x + 5

Step-by-step explanation:

Find slope:

change in y/change in x

(2-3)/(6-4)

-1/2 = m

Use point-slope form:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, let's use (4,3)

y - 3 = -1/2(x - 4)

Point-intercept form:

Expand y - 3 = -1/2(x - 4) to get point-slope form:

y = -1/2x + 5

Hope this helps!! :)

B-19=-11. What is the B? Plz help

Answers

Answer:

8

Step-by-step explanation:

b - 19 = - 11

b = -11 + 19

b = 8

can u guys answer this question? btw look at the side of the picture u will see numbers the color is blue

Answers

where is the picture?

the question is on the picture :)

Answers

Answer:

2.5

Step-by-step explanation:

y=kx, k is constant of prop

When 10 is subtracted from a number and then divided by 2, the answer obtained is 4. What is the number . The answer is x = 14. * True False

Answers

Answer:

False

Step-by-step explanation:

14 - 10 = 4 divided by 2 = 2 you do not get 4.

What is the area of these

Answers

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

G.

13 × 20 ÷ 2 = 130 ft^2

H.

11 × 4 ÷ 2 = 22 ft^2

I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)​

Answers

Answer:

14.424778

Step-by-step explanation:

3)(3.141593)+5

=9.424778+5

=14.424778

just give me a RIGHT ANSWER please lol...

Answers

12 mph mphhhhhh LET ME SEND

Any help please I’m kinda lost

Answers

Answer:

371/1000

Step-by-step explanation:

The answer is 1000

ONLY SERIOUS ANSWERS!!!! 25 POINTS

Answers

Answer:

FD≈25.94.. rounded = 26

Step-by-step explanation:

FD²=12²+(4x+11)²

FD²=144+16x²+88x+121

FD²=265+16x²+88x

also

FD²=12²+(13x-16)²

FD²=144+169x²-416x+256

FD²=400+169x²-416x

thus

265+16x²+88x = 400+169x²-416x

16x²-169x²+88x+416x+265-400 = 0

-153x²+504x-135 = 0

we will solve this quadratic equation by suing the quadratic formula to find x

x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)

x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)

x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306

x=(-504±[tex]\sqrt{171396}[/tex])/-306

x=(-504±414)/-306

x=(-504+414)/-306 and x=(-504-414)/-306

x=-90/-306 and x=-918/-306

x= 5/17 , 3

substituting x by the roots we found

check for 5/17:

4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..

13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..

check for 3:

4x+11 = 4×3+11 = 12+11 = 23

13x-16 = 13×3-16 = 23

thus 3 is the right root

therfore

ED=23 and CD=23

FD²=FE²+ED² or FD²=FC²+CD²

FD²=12²+23²

FD²=144+529

FD²=673

FD=√673

FD≈25.94.. rounded = 26

Answer:

FD = 25.94 or 26

Step-by-step explanation:

ED = CD ...... ( Tangent secant Property)

4x + 11 = 13x - 16

11 + 16 = 13x - 4x

27 = 9x

27÷9 = x

3 = x

so,

ED = 4x + 11 = 4(3) + 11

ED = 23

FE = 12 ...... ( given )

ΔFED = 90° ...... ( tangent property )

so,

FD² = FE² + ED²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = 673

FD = 25.94

FD = 26 (approx )

Calculate the volume of this cylinder, giving your answer to 1 decimal place.
20 cm
9 cm​

Answers

5.092in cubic and 1620π

Can someone help me with this ASAP please I’m being timed !

Answers

Answer:

190

Step-by-step explanation:

gooooooo

4 2/9 x 12 7/8 i need answer

Answers

54 13/36 hope this helps

Please answer this question! It’s almost due!
(Answer Number 8)

Answers

Answer:

its incorrect.

Step-by-step explanation:

if x=2√3 +2√2 find 1/x​

Answers

Answer:

i dont know but ...

Step-by-step explanation:

jjst ask ue internet thst eqiation ot will tell u x

Answer:(√3-√2)/2

Step-by-step explanation:

x=2√3+2√2

1/x=?

Here,1/x=1/(2√3+2√2)

= (2√3-2√2)/(2√3+2√2)(2√3-

2√2)

= (2√3-2√2)/(4×3-4×2)

=2(√3-√2)/12-8

=2(√3-√2)/4

=(√3-√2)/2 ans.

A pair of designer sneakers was purchased for $120. Since they were purchased, their price has decreased by 15%

Answers

Complete question :

A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price?

Answer:

$138

Step-by-step explanation:

Given that :

Initial price = $120

Percentage increase in price = 15%

The new price of sneakers:

Initial price + (percentage increase in price * initial price)

New price :

$120 + (15% * $120)

New price :

$120 + (0.15 * $120)

New price of sneakers :

$120 + $18

New price of sneakers = $138

Helppppppppppppppppp

Answers

Answer:

x pluse 10 y pluse 4 ...don't mind the dots

PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

to make it quick

2*110 = arc FI

220° = arc FI

arc LI = 97°

arc FL = x

360 = 220 + 97 + x

43 = X

arc FL = 43°

:)

Given the slope of the line containing the points (-3,1) and (a,-14) is -5/3, find the value of a.​

Answers

Answer:

a=6

Step-by-step explanation:

write the equation as y=mx+b

y=-5/3x+b

solve for b

1=-5/3*-3+b

1-5=b

b=-4

Plug in -14 and solve for x

-14=-5/3x-4

-10=-5/3x

30/5=x

x=6 (x is basically a because a is the x coordinate)

n-10+9n-3 step by step​

Answers

Answer:

10n−13

Step-by-step explanation:

Let's simplify step-by-step.

n−10+9n−3

=n+−10+9n+−3

Combine Like Terms:

=n+−10+9n+−3

=(n+9n)+(−10+−3)

=10n+−13

What is the slope? I will give brainliest

Answers

Answer:

The rise over run is -1/2

Step-by-step explanation:

pls helpppppppppqjhg

Answers

Answer:

Step-by-step explanation:

It is the 3rd or 1st one.

Find the circumference of the circle. Leave your answer in terms of n.

Answers

Answer:

Step-by-step explanation:

Diameter d = 22 TD

Circumference = πd = 22π yd

For what values of x is the expression below defined?
Sqrt x+5 divided by sqrt 1-x

Answers

Answer:

D.  - 5 ≤ x < 1

Step-by-step explanation:

The numerator cannot be the square root of a neg. no.

So, x + 5 ≥ 0 or x ≥ -5

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

      1 > x   or  x < 1

So, altogether  - 5 ≤ x < 1

Therefore, D is the correct answer.

HELP PLS! with center P is shown. RSand overline ST tangent to circle P. What is the area of the sector formed by angle RPT , to the nearest tenth of a square inch?

Answers

Answer:

15.3 in²

Step-by-step explanation:

[tex]\frac{70}{360} * \pi * r^{2} =area\\[/tex]

70 is the angle

so using this we get 15.2716.. inch²

that rounds to 15.3 in²

Can someone please help me out?

Answers

6.) D (x+7)(x+1)
7.) B (x-9)(x+8)
8.) D
9.) A
10.)A
Other Questions
Whats the deepest thought you know, best one gets Brainleist! Complete sentence describing an element in a story. The ______________ is the part of a story that deals with the struggle that the main character goes through to accomplish a certain task. These types of cells are found in the blood and lymph vessels and aid in gas exchange including 02 and CO2. what is the equation to 3x+2x+-x A gas has a volume of 590 mL at a temperature of 55.0C. What The temperature be if the volume expands to 15L at constant pressure? which of the following would be a good thesis statement for a compare and contrast essay? please help asap The equation below describes a parabola of a is positive which way does the parabola open? X=ay2 16. AEROBIC physical activity is done for SHORTER time periods than anaerobicphysical activityTrueFalse can someone please help me on how to do this thing it is not hard i just don't get how to answer itWhat types of plants live in your biome? Describe the adaptations that help the plant survive in the biome. (Give 5 examples of each) The 11th hour of the 11th day of the 11th month marked this moment,ending the fighting of WWI. * Which expression could help you find the distancebetween (10, 4) and (-6,4)?O |10+ |-41O |10| + 141O |-6] + 141O |10| + |-61 what is made when a sperm cell combines with the polar nuclei? Who were the samurai find the value of given expression[tex] \sqrt{35 \times 35} [/tex] When is blue for when the instance in which the directory of compulsion in the air! Mari is adding sugar and fats at high heat to create a firm glaze on the outside of fruit. What processes Mari using What are some of the reasons for and against girls not playing on men's sports teams? how has your last two minutes been? Investment firm claims that the mean increase in price per share companies invest in is $1.95 per share every year and national sample of 100 company shows that the mean increase in price per share is $1.82 per year the standard deviation of share price is nationally is $.30 what is the margin of error Which statements are true for summarizing information? Select all that apply.Do not include opinions.Keep the original meaning of the text.Use words directly from the text.Include opposing views