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:
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 rootA 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]
Related Questions
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!
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
What is the base of the expression 11/12
Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
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
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:
2/5 of 146 as a decimals
Answers
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.
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
PLEASE HELP ME ASAP.
Answers
Answer:
use pathway but with an M instead of P
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
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
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
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
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
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
8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!
Answers
Hope this helped could you mark me brain lists
Answer:
use photomath ok my guy and good job
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.
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
Explaining: i used a calculator
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
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
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
What is the y-intercept of the line in the picture
Answers
Answer:
-2
Step-by-step explanation:
Shown is a square garden with a triangular pond.
Find the area of the garden that is grass
Answers
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
Corresponding angles and interior angles can never have equal angle
True or false
Plss help mee
Answers
Answer:
true
Step-by-step explanation:
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
It will be
(10/2) -3+1=
5-3+1 =3
Which is true
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
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:
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
Answers
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.