If using the method of completing the square to solve the quadratic equation
x2 – 9x + 38 0, which number would have to be added to "complete the
square"?
=
Answers
Answer:
81/4
Step-by-step explanation:
Given the equation x^2 – 9x + 38 = 0
Subtract 38 from both sides
x^2 – 9x + 38 - 38= 0 - 38
x^2 - 9x = -38
Next is to complete the square, to do this we will add the square of the half of coefficient of x to both sides as shown;
Coefficient of x is - 9
Half of -9 will be (-9/2)
Squaring the result will give (-9/2)² = 81/4
Hence the number that would have to be added to "complete the
square" is 81/4 to have;
x^2 - 9x + 81/4= -38 + 81/4
(x-9/2)² = -38 + 81/4
Hence the required value is 81/4
Related Questions
Help me out here pleaseeeeeeeeee
Answers
Answer:
Step-by-step explanation:
the second one
A number line has marks A question mark, negative 2, B question mark, 0, 1, C-2, 3, D question mark, 5, E 6.
What number is represented by point B?
Which point represents the number 2?
Answers
Answer:
What number is represented by point B = -1
Which point represents the number 2? = C
27
Solve for x.
5x – 5 = 9x + 3
X =
Answers
Answer:
- 2
Step-by-step explanation:
Add 5 From Both Sides
Simplify
Subtract 9x from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the picture below ↓
Hope this helps! :)
if a dinosaur has a mass of 55g, what is his density
Answers
Answer:
32ounces I think
Step-by-step explanation:
12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Create a function, P, that gives the amount of money that john still owes Joan after
w weeks.
12 (b) John told Joan that he will have paid her back all of the money, after making
payments for 13 weeks.. Explain why John is incorrect?
Answers
Answer:
P = 80 - 6wStep-by-step explanation:
Initial amount = $80Payment each week = $6Required function:
P = 80 - 6wTime required to pay all money. At this time P = 0
0 = 80 - 6w6w = 80w = 80/6w = 13.33Since w > 13, John needs 14 weeks
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Answers
Answer:
II. One and only one solution
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Let assume the equation is given as;
x + 3y = 11 .... 1
x - y = -1 ....2
Using elimination method
Subtract equation 1 from 2
(x-x) + 3y-y = 11-(-1)
0+2y = 11+1
2y = 12
y = 12/2
y = 6
Substitute y = 6 into equation 2:
x-y = -1
x - 6 = -1
x = -1 + 6
x = 5
Hence the solution (x, y) is (5, 6)
Hence we can say the equation has One and only one solution since we have just a value for x and y
Find the angle of rotation about the center of the square that maps A to C.
Answers
The angle of rotation to map A into C is 180°.
How to find the angle of rotation?The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.
Then we would have A on the second quadrant and C on the fourth quadrant.
Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.
The correct option is 180°.
If you want to learn more about rotations:
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Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area.
Answers
Answer:
new area = 7m (length) x 4m (width) = 28; an increase of 12 sq meters
Step-by-step explanation:
Original area must have been 16 because both the length and width were 6 meters.
175% of 16 is 12, meaning the length must be increased from 4 to 7 to get 28 when multiplied by a width of 4m
Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
Answers
Answer:
A and C
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
im right
Please help me solve this question will give you braisnlt !
Answers
Answer:
Table c
Step-by-step explanation:
Required:
Which of the 4 has the greatest rate of change
For Graph (A):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (0,1)[/tex]
[tex](x_2,y_2) = (2,5)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{2-0}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
This represents the rate of change:
For (B): [tex]y = 3x + 7[/tex]
An equation is of the form:
[tex]y = mx + b[/tex]
Where
m represents slope or rate of change:
By comparison:
[tex]m = 3[/tex]
For table (C):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (1,7)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12-7}{2-1}[/tex]
[tex]m = \frac{5}{1}[/tex]
[tex]m = 5[/tex]
This represents the rate of change:
For (D):
The $1.00 paid every week represents the rate of change.
So:
[tex]m = 1[/tex]
For A - D:
The rate of change are:
[tex]A = 2[/tex]
[tex]B = 3[/tex]
[tex]C = 5[/tex]
[tex]D = 1[/tex]
5 is the greatest.
Hence, (c) has the greatest rate of change
Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?
Answers
36
because you add 36 6 times so 36×6= 216
Answer:
Well, 216 divided by 6 is 36,so...
Step-by-step explanation:
please help
Solve |6k + 12| + 9 = 9 for k
Answers
Answer:
k = -1/2
Step-by-step explanation:
|6k + 12| + 9 =9
6k + 12 = 9-9
6k + 12 = 0
6k = -12
k = -1/2
Who HATES k-12 I"TS THE WORST
Answers
Answer:
MEEEEEEEEEEEEE LOL hahaha
Answer:
I hate it, it doesnt teach you anything!!
Step-by-step explanation:
There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!
Answers
Answer:
259,459,200 ways.
Step-by-step explanation:
That is the number of permutations of 8 from 15.
= 15! / 15-8!
= 15! / 7!
= 15*14*13*12*11*10*9*8
= 259459200
7-3x=x-4(2+x) please help with work
Answers
Answer:
7-3x=x-4(2+x)
7-3x=x-8-4x
7-3x-x=-8-4x
7-4x=-8-4x
-4x+4x=-8-7
0 =-15
=-15/0
=0
Which fraction is greater than 1/2 and less than 3/4 ?
Answers
Answer:
a. [tex] \frac{2}{3} [/tex]
Step-by-step explanation:
The fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex] and less than [tex] \frac{3}{4} [/tex].
How do we know this? See below how the fractions are compared together.
First, compare [tex] \frac{2}{3} [/tex] and [tex] \frac{1}{2} [/tex].
Find a common denominator for both fractions:
Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:
[tex] \frac{2 \times 2}{3 \times 2} = \frac{4}{6}[/tex] and
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} [/tex].
Compare the numerators. Which one is greater?
Form the calculation above:
[tex] \frac{2}{3} = \frac{4}{6} [/tex] has a numerator of 4.
.
[tex] \frac{1}{2} = \frac{3}{6} [/tex] has a numerator of 3.
Since 4 is greater than 3, therefore, the fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex].
✍️Compare [tex] \frac{2}{3} [/tex] and [tex] \frac{3}{4} [/tex].
Find a common denominator for both fractions
[tex] \frac{2 \times 4}{3 \times 4} = \frac{8}{12} [/tex] and
[tex] \frac{3 \times 3}{4 \times 3} = \frac{9}{12} [/tex]
Comparing their numerator, 8 is less than 9, therefore:
[tex] \frac{2}{3} [/tex] is less than [tex] \frac{3}{4} [/tex].
✔️We can conclude that:
[tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex], and less than [tex] \frac{3}{4} [/tex].
Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *
Answers
3 divided by 1/2
3/1 * 2/1
6/1
6
Use the distributive property to find the value of x.
-1.2(3 – x) = -1.8
-3.6 + 1.2x = -1.8
1.2x = 1.8
x = ___
Answers
Answer:
i combined multiplied terms into a single fraction , then multiply all by the same value to eliminate common denominators simplify and divide and get x=1.5
Step-by-step explanation:
Answer:
yo
Step-by-step explanation:
its 1.5
promise
i did edge
help!! i do not know what to do. 8th grade math!!
Answers
Answer:
Yes
Step-by-step explanation:
The productivity consistanly increases by 3/2.
Answer:
i think its (0,0) and (11,7)
sorry if im wrong
Step-by-step explanation:
Help pls 10 POINTSSSSS HELP MEEEE
Answers
Answer:2492.1
Step-by-step explanation:2130 times 4.25% times 4 =362.1
Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?
Answers
I hope this helps
A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
To convert a mixed number to an improper fraction , we need to follow these three steps :
Step 1 : Multiply the whole number by the denominator
Step 2 : Add the answer from Step 1 to the numerator
Step 3 : Write answer from Step 2 over the denominator
Take for example :
Let the number be x = 5 5/9
Step 1 :
Multiply the whole number by the denominator
9 × 5 = 45
Step 2 :
Add the answer from Step 1 to the numerator
45 + 5 = 50
Step 3 :
Write answer from Step 2 over the denominator
50/9
Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9
To learn more about mixed numbers click :
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Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2
Answers
ok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist
Answers
Answer:have a wonderful Christmas!
Step-by-step explanation:70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 also
Answer:
The answer is 165, hope this helps.
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Need help ASAP
Thank you
Answers
Answer:
the second one thxxx for the points
explain how to use friendly percents to find 35% of 80
Answers
.35*80=28
HELPPP please dont skip
Answers
Answer:
B
Step-by-step explanation:
Trust
Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.
Answers
Answer:
Step-by-step explanation:
Gjbvhobcfu
Answer:
I cannot see the question
Step-by-step explanation:
Use the table below to answer this question:
x y
-1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
A.) −2
B.)−1
C.)1
D.) 2
Answers
Given:
The table of values.
To find:
The average rate of change for the given function from x = −1 to x = 2.
Solution:
From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.
Formula for average rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is
[tex]m=\dfrac{3-(-3)}{2-(-1)}[/tex]
[tex]m=\dfrac{3+3}{2+1}[/tex]
[tex]m=\dfrac{6}{3}[/tex]
[tex]m=2[/tex]
Therefore, the correct option is D.
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D
Answers
Answer:
c
Step-by-step explanation:
Answer:
A. 100 miles divide 2.5 hours = 40 miles per hour
HELP QUICK!! I HAVE ADULTS YELLING AT ME BC I DON'T UNDERSTAND
Answers
Answer:
[tex] 1\frac{1}{6} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{2}{3}*1\frac{3}{4} [/tex]
Required:
Evaluate
SOLUTION:
To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.
Thus:
[tex] \frac{2}{3}*\frac{7}{4} [/tex]
Multiply the numerators together, and multiply the denominators together
[tex] = \frac{2 \times 7}{3 \times 4} [/tex]
[tex] = \frac{14}{12} [/tex]
Simply the fraction by dividing the numerator and denominator by 2
[tex] = \frac{7}{6} [/tex]
[tex] = 1\frac{1}{6} [/tex]