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

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

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

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

Corresponding angles and interior angles can never have equal angle

True or false

Plss help mee

Answers

Answer:

true

Step-by-step explanation:

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

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:

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

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

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

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.

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

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.

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

use the distributive property to rewrite the algebraic expression below

4 (x + 2)

Answers

The answer is 4x + 8

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.

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

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

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:

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

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.

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

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

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

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:

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!

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

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:)
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