Mathematics High School

Which explains how to show that
X=-8/3
is a root of
9×^2+48×+64=0?

a. Graph
9x^2 + 48x + 64 = 0
to show that
x=-8/3
is where the parabola crosses the y axis.

b. Graph
9x^2 + 48x +64 = 0
to show that the parabola's vertex is just above the value
x=-8/3

c. Substitute
x=-8/3
back into
9x^2 + 48x + 64 =0
and simplify to show that a true statement
results.

d. Substitute
x=-8/3
back into
9x^2 + 48x + 64 = 0
and simplify to show the values of
a
c
remain perfect squares.

Answers

Answer 1

Answer:

  c.  Substitute

Step-by-step explanation:

A graph of the function on the left shows the parabola touches the x-axis at x = -8/3. That is, the vertex is on the x-axis. It crosses the y-axis at y = 64.

Show a value is a root

A given solution to an equation can be verified by substituting that value into the equation an showing the result is a true statement. Here, the value x=-8/3 is a root of the given equation because that value makes the equation true.

  [tex]9\left(-\dfrac{8}{3}\right)^2+48\left(-\dfrac{8}{3}\right)+64=0\\\\9\left(\dfrac{64}{9}\right)-\left(\dfrac{48\cdot8}{3}\right)+64=0\\\\64-\dfrac{3\cdot2\cdot8\cdot8}{3}+64=0\\\\64-2\cdot64+64=0\\\\0=0\qquad\text{True}[/tex]

Which Explains How To Show ThatX=-8/3is A Root Of9^2+48+64=0?a. Graph9x^2 + 48x + 64 = 0to Show Thatx=-8/3is

Related Questions

write a polynomial function with zeros -3,5,8​

Answers

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

An article marked at ₹50 is sold for ₹45. What is the

rate of discount?​

Answers

Answer:

Your answer is

Rate of discount = 10%

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Corresponding angles and interior angles can never have equal angle

True or false

Plss help mee

Answers

Answer:

true

Step-by-step explanation:

HELP PLEASE ASAP

Given the discriminant of –2 for a quadratic equation, determine the number of real solutions.

Answers

Answer:

0 or simply no real solutions

Step-by-step explanation:

Given the discriminant which is negative, then the equation has no solutions in the set of real numbers. The roots or solutions belong to the set of complex solutions or imagenary roots.

write the fraction in ascending order.
1) 2 , 5 , 1 , 3
----- ----- ----- ----
3 6 2 4

2) 4 , 5 , 3 , 1
---- ----- --- ---
5 8 4 2​​

Answers

QUESTION 1 :

find the LCM of 3,6,2,4

LCM = 12

THEREFORE,

2/3*4/4 = 8/12

5/6*2/2 = 10/12

1/2*6/6 = 6/12

3/4*3/3 = 9/12

8/12 , 10/12 , 6/12 , 9/12

Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)

= 6/12 , 8/12 , 9/12 , 10/12

So, 6/12 = 1/2

8/12 = 2/3

9/12 = 3/4

10/12 = 5/6

THEREFORE

Ascending order = 1/2 , 2/3 , 3/4 , 5/6

The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?

Answers

I am going to assume you mean 56 SMALL dogs in the show. If you do, your answer is 42 large dogs.

What must you subtract from the expression –5x – 8 in order to make it equivalent to –9x – 1 for all values of x?

Answers

Answer:

the number is 4x - 7

Step-by-step explanation:

Let P be subtracted from -5x - 8 to make it equivalent to -9x - 1.

-5x - 8 - P = -9x - 1

make "-P" the subject of the formula

-P = -9x - 1 + 5x + 8

Collect like terms;

-P = -9x + 5x  - 1 + 8

-P = -4x + 7

divide through by "-1"

P = 4x - 7

Therefore, the number that must be subtracted from -5x - 8 to make it equivalent to -9x - 1 is 4x - 7

Frankie started cleaning her house at 1:30 p.M and finished cleaning at 6;30 p.M how long did Frankie clean

Answers

Answer:

5 hours

Step-by-step explanation:

Start time = 1:30 p.m

Finishing time = 6:30 p.m

Time taken :

Finishing time - start time

6:30 p.m - 1.30 p.m

= 5 hours

Shown is a square garden with a triangular pond.
Find the area of the garden that is grass

Answers

Area of the square:
6x6 = 36m^2
Area of the triangle
3x4/2=6m^2
Area of grass
36-6=30m^2

The area of the garden that is grass is 30 square meters.

The square garden has a side length of 6 meters.

The triangular pond has a base of 4 meters and a height of 3 meters.

The area of the garden that is grass.

The area of the square garden is 6 x 6 = 36 square meters.

The area of the triangular pond is (1/2) x 4 x 3 = 6 square meters.

Therefore, the area of the garden that is grass is 36 - 6 = 30 square meters.

The area of the garden that is grass is 30 square meters.

Here are the steps in detail:

Calculate the area of the square garden: 6 m * 6 m = 36 square meters

Calculate the area of the triangular pond: (1/2) * 4 m * 3 m = 6 square meters

Subtract the area of the pond from the area of the square to find the area of the grass: 36 square meters - 6 square meters = 30 square meters

To learn more about area here:

https://brainly.com/question/1631786

#SPJ2

Help!!!! What are the unknown angles?

Answers

Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

PLEASE HELP ME ASAP.

Answers

Answer:

use pathway but with an M instead of P

Step-by-step explanation:

Please help. I don’t know what to do.

Answers

Answer:

83

Step-by-step explanation:

The sum of the interior angles of any closed figure will always equal 360º, so what you need to do is add:

109+90+78=?

This will in turn give you 277.

Subtract 277 from 360, and boom, 83 degrees.

A triangle has side lengths of 11 cm and 7cm. Which could be the value of the third side, 19cm or 17 cm

Answers

Answer:

use the Pythagoras theorem..you will got the solution

Answer:

The answer is 17

Step-by-step explanation:

Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

Wmkwkqkw siwiq q wksos ww wkwlwkw wlw

Answer:

$840

Step-by-step explanation:

4000 x .07= 280

280 x 3 = 840

Apply the distributive property to the expression 9(6m-4n). DO NOT SYMPLIFY.

Answers

Answer:

54m-36n

Step-by-step explanation:

9·6m= 54m

9·(-4n)= -36n

54m-36n

Oliver bought 5 glow bracelets for each of his party guests and 2 glow bracelets to keep for himself. He bought a total of 37 glow bracelets. How many guests did Oliver invite to his party?

Answers

7 cuz 2-37 is 35 and divide that by 5 , the 2 is the ones he kept for himself

49x^2 -_x + 16

Can someone help with the missing number

Answers

Step-by-step explanation:

I'm guessing this is competing the perfect square

so it's 56

Answer:

Step-by-step explanation:

4x² + 28x + 49

4x² + 14x + 14x + 49

2x(2x) + 2x(7) + 7(2x) + 7(7)

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

(2x + 7)²

= 28

Pedro placed an order with an online nursery for
6 apple trees and 5 azaleas and the order came to
$147. The next order for 3 apple trees and 4 azaleas
came to $96. What was the unit cost for each
apple tree and for each azalea?

Answers

Hope this helps! I really need points to ask a question , so I'm just answering people who need help

use the distributive property to rewrite the algebraic expression below

4 (x + 2)

Answers

The answer is 4x + 8

5 circles lie on the same plane.What is the maximum number of intersection points the circles can have?

Answers

the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

Answer:20

Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20

Hope it helps!

next three terms in (1024, -128, 16...) you can write them as fraction if needed

Answers

Answer:

-2 1/4 - 1/32

Step-by-step explanation:

16x -1/8 = -2 do the same for all

to complete the equation and
Use the graph to determine which values can be used
x^2/a^2 - y^2/b^2= 1.
a:
b:

Answers

Answer:

/9AZ+ 1AL+4UE, 1, 5Z0 971 349 BG, -, 5Z0 971 349 BG -. (1). PR-9AA/9AZ+ 1AC+4UA. PR-9AA/9AZ+ 1AC+4UA, 1, 5Z0 971 349 AR, -, 5Z0 971 349 AR

Step-by-step explanation:

Answer:

A:5

B:12

Step-by-step explanation:

What is the y-intercept of the line in the picture

Answers

Answer:

-2

Step-by-step explanation:

the y intercept would be -2. hope you do well:)

8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!

Answers

X=-1
Hope this helped could you mark me brain lists

Answer:

use photomath ok my guy and good job

84,000 of food for 80 soldiers for 60 days How long would the food last 20 more soldiers joined​

Answers

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

10÷2-3+1=3 where do the parentheses go?

Answers

Answer:

The parantheses go around the (10 / 2)

Step-by-step explanation:

The expression would be:

(10 / 2) - 3 + 1 = 3

And when you solve it,

It would simplify to:

5 - 3 + 1

go from left to right and you get 3

The slash means division, I don't know how to type a division sign on brainly lol

The priority to the division and multiplication,
It will be
(10/2) -3+1=
5-3+1 =3
Which is true

Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line

Answers

Answer:

-1 5/8

Step-by-step explanation:

Opposite of 1 5/8 is -1 5/8

You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost

Answers

Answer:

41.67 dollars

Step-by-step explanation:

because 250/6= 41.6666666667

that rounded is 41.67 dollars

41.67
Explaining: i used a calculator

What is the base of the expression 11/12

Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

2/5 of 146 as a decimals

Answers

I think it’s 58.4 I’m not sure if my answer is completely right . Just let me know if I’m right . Hope this can help
Other Questions
How does the number of osmoles factor in when trying to calculate the molar mass of a substance? Blossom company , a machinery dealer leased manufacturer equipment to Mays corporation on January 1, 2017. The lease is a 7 year period and requires equal annual payments of $26143 at the beginning of each year . The first payment is received on January 1, 2017 . Blossom had purchased the machine during 2016 for $75000 collectibility of lease payments is reasonable predictable, and no important uncertainties surround the amount of cost yet to be incurred by blossom se the annual rentel to ensure a 8% rate of return . The machine has an economic life of 8 years with no resiidaul value and reverts to blossom at the termination of the lease.A. Compute the amount of the lease receivable For the inequality yx>x21, where is the graph shaded and is the curve solid or dotted? the ruler demanded us to give up everything Which equation is the inverse of y = 9x - 4?0y= x+49O y = +49Oy= 2x+43INX+x 2Oy= 3 3 possible selves refers to: ego defense mechanisms that involve fantasy. those aspects of the self-concept that are congruent with a person's emotions and experiences. __________ can provide valuable information, political intelligence, and reelection funding, making legislators with whom they agree more effective. he Federal Reserve Bank sets ______ which are the fractions of checking account balances that banks must maintain as currency reserves. 42. 43. 44. 45. 46. 47. 48 Abrasion, incised, punctured are examples of (b) strain (c) wound (a) sprain Strain is to muscle while sprain is to (a) flesh (b) blood (c) bone The natural world in which people, plants and animals live in is (a) town (b) house (c) village The act of making places and things dirty, harmful and noisy is (a) pollution (b) game (c) pollutants A set of programs that controls and coordinates the internal ac (a) translator (b) system software (c) u The following are safety measures to be considered when usin (a)overload power point (b) sitting posture (c) using the anti- (d) positioning of the monitor base Bob just retired at 70 and would like to liquidate, or cash-in,his savings from his 401(k) and Roth IRA. Who should he meet with to help make this decision I WILL GIVE BRAINLIEST!!!!2 step equation:4x + 3 = 192 step equation w/ fractions:(4/3)x + 5 = 17Distributive Property:4x(6 - 2) - 10 = 20Decimals:4.3x + 0.7 = 5Real world equation:Sharon's restaurant is bringing in money from customers, and she needs to know how much she needs to pay off the bill for the electricity to run the place. To turn the electricity on, she has to pay $25. For every hour that the electricity is on for, she has to pay $4. How many hours can she have the electricity on for if she makes $49 profit?i really need some help solving these Plsss Help!!!!Complete the following nuclear reactiona) b) c) d) p I heard you asking questions of each: who killed the pork chops? what price bananas? are you my angel? why does the author most likely use free verse for this excerpt? the structure imitates casual conversation. the structure reflects narrative storytelling. the structure mirrors classic poetic principles. the structure suggests an epic tale of morality. The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed Given that SQ bisects PSR and PSSR, which of the following triangle congruence statements can be used to prove that PR?The figure shows two triangles P S Q and R S Q with a common side S Q. Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y.Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y.Which must be true?Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z.Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G.Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z despues de mid classes siempre como una According to ______ management, managers should fix an organization's problems by improving its structure, culture, and work rules while treating employees well. The measure of how stretched out an ellipse is, is referred to as ____.A. GravityB. WeightC. MassD. Eccentricity I just need help on what the answer is and understanding this question, thank you.The graph represents the potential area of a concrete rectangle, based on length and width.Which inequality in vertex form represents the graphed region?A)y less-than negative 2 (x + 16) squared minus 32B)y less-than negative one-half (x minus 16) squared + 32C)y less-than negative 2 (x minus 16) squared + 32D)y less-than negative one-half (x + 16) squared minus 32