Question 13
Which of the following is an equivalent equation obtained by completing the square of the expression below?
x^2 + 6x - 8 = 0
Answers
Answer:
B) (x + 3)^2 = 17
Step-by-step explanation:
To complete the square you need to put x + or - half of the x coefficient.
So here it would be (x + 3)^2. However, we're trying to find x^2 + 6x - 8 = 0, not x^2 + 6x + 9 = 0, which is what (x + 3)^2 expands to. So we need to -9 from x^2 + 6x + 9 = 0 and add -8 from the original equation.
This simplifies to (x + 3)^2 - 9 - 8 = 0 --> (x + 3)^2 - 17 = 0
Then all you need to do is rearrange to give: (x + 3)^2 = 17
Related Questions
In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x)=6x-4,f(x)=6x−4, where xx is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.
Answers
Answer and explanation:
Find answer and explanation attached
−2w + 6 = 14w = What does w =
Answers
Divide both sides with 16, w= 6/16 which is 0.375
Find the midpoint P(-7, -3) and Q(9,-5)
Answers
Answer:
(1,-4)
Step-by-step explanation:
Mr. Calles collects football memorabilia of his favorite teams. He collects Rams, 49ers, and Chargers mementos. The number of Rams items he has is four more than the number of Chargers items. The number of 49ers items is twice the number of Rams items. Altogether, he has 48 items. How many items from each team does he have.
Answers
Answer:
lift
Step-by-step explanation:
your head up
-0.05 divided by -5/8
Answers
Answer:
0.00125
Step-by-step explanation:
simplify: 1 2/3 - 1/4
Answers
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3}-\frac{1}{4}[/tex]
[tex]\mathrm{Subtract\;Whole\;Number}[/tex]
[tex]1-0=1[/tex]
[tex]\mathrm{Combine\;fraction}[/tex]
[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]
[tex]=1+\frac{5}{12}[/tex]
[tex]=1\frac{5}{12}[/tex]
Hence, the answer is 1 5/12
~Lenvy~
1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate
⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]
2. Now lets the change the base of both fractions into a common denominator and solve
⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]
Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]
Hope that helps!
13 men can weave 117 baskets in a week how many men will need to be 189 baskets in 3days
Answers
Answer:
49 men will be required to weave 189 baskets in 3 days.
Answer:
49 men required
Step-by-step explanation:
Plssssssssssss help me
Answers
Answer:
I believe it is D
Step-by-step explanation:
I need to find x. It wants me to find the indicated angle measure.
Answers
Answer:
x=33
Step-by-step explanation:
2x-18+4x=180
6x-18=180 combine like terms
+18 +18 add on both sides
6x= 198 divide
x= 33
SOMEONE HELP PLEASE 7TH GRADEEEEEEEEEEEEEEEEE
Answers
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answers
Answer:
1 solution
(3, 4)
Step-by-step explanation:
The pair of equations for lines A and B have 1 solution because there is one point of intersection.
The point of intersection is (3, 4), therefore this is the solution.
Answer:
3,4
Step-by-step explanation:
How do you solve? Show your work.
-14 - 6x = x + 7
Answers
Answer:
−
6
−
1
4
=
+
7
-6x-14=x+7
−6x−14=x+7
−
6
−
1
4
+
1
4
=
+
7
+
1
4
Add the numbers
Add the numbers
again
−
6
=
+
2
1
Subtract
x
x
from both sides of the equation
−
6
=
+
2
1
-6x=x+21
−6x=x+21
−
6
−
=
+
2
1
−
Simplify
Combine like terms
Combine like terms
again
−
7
=
2
1 the answer is=3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-14-6x=x+7
-14-6x+14=x+7+14
-6x=x+21
-6x-x=x+21-x
-7x=21
\frac{-7x}{-7}=\frac{21}{-7}
x=-3
help please i don’t understand and this is do today :/!!
Answers
Answer:
18.4
Step-by-step explanation:
the angle is what u are to find, using the trig function Tan.
what is 1.9 times (1/4) ?
Answers
Answer: 19/40 Step by step
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.475 = 475 over 1000
475
1000
Step 2 of 2: Simplify.
Simplify
475 over 1000
475
1000
= 19 over 40
19
40
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
475 over 1000
475
1000
= ( 475 ÷ 25 ) over ( 1000 ÷ 25 )
475 ÷ 25
1000 ÷ 25
= 19 over 40
19
40
25 is the greatest common divisor of 475 and 1000. Reduce by dividing both numerator and denominator by 25.
Captain Perguin bought 150 crackers for his pet parrot. He ate 10% of them himself. How many crackers did Captain Perguin eat?
Answers
Answer:
15
Step-by-step explanation:
divide it by 10 or move the decimal point one place to the left.
so 150. would be 15.0 making it 15
what is x and y if x+y=64 and x-y=-18
Answers
Answer:
X = 41 and Y = 23
Step-by-step explanation:
41 plus 23 equals 64 and 41 minus 23 equals 18.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
Answers
Answer: 3
Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Check the graph
f(x) means yHere
x is infinite in positive direction (right)y is also infinite in positive direction(up)So the answers are
[tex]\\ \rm\rightarrowtail x\to + \infty,f(x)\to 0[/tex]
[tex]\\ \rm\rightarrowtail x\to -\infty,f(x)\to +\infty[/tex]
Option B and D are correct
what is 2 less than the square of a number in an algebraic expression
Answers
Step-by-step explanation:
let the unknown square = X
therefore
X^2 >2
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answers
Answer:
f(g(x))=9-x-[tex]x^{2}[/tex]
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=[tex]x^{2}[/tex] +x
here,.
fog
=f(g(x))
=f([tex]x^{2}[/tex] +x)
=9-([tex]x^{2}[/tex] +x)
=9-[tex]x^{2}[/tex] -x
=9-x-[tex]x^{2}[/tex]
Which inequality is true?
O A. > 1
O B. 51> 15
O C. 41-2<10
O D. 17+ 9 < 12
Answers
Answer:
B
Step-by-step explanation:
51 is larger than 15.
Hope this helps.
Answer:
bobux
Step-by-step explanation:
yes because are
How do you work out the probability
Answers
13 percent of students are girls and 25 percent are boys how many students are there all ?
Answers
Answer:
0
Step-by-step explanation:
Find the sum of the geometric series 128 - 64 + 32 – ... - 1.
Answers
Step-by-step explanation:
this sequence has 8 terms and the common ratio or multiplication factor is -1/2.
we could add these 8 numbers manually or use the formula :
Sn = a1(1 - r^n)/(1 - n)
when r < 1 (like in our case -1/2).
S8 = 128(1 - (-1/2)⁸)/(1 - -1/2) =
= 128(1 - 1/256)/(3/2) = (128×255/256)/(3/2) =
= (255/2)/(3/2) = 255/2 × 2/3 = 255/3 = 85
Please help me fast :((
Image attached. Please solve all leters and tell me if it's Irrational, Rational Integer, Whole, or Natural
Answers
Answer:
A is rational
B is irrational
C is integer
D is whole
E is rational
F is rational
G is rational
H is irrational
I is whole
J is whole
Step-by-step explanation:
hope this helped! i am not 100% sure this is right but i think it might be.
p.s it would be cool if you gave me brainliest.
The polynomial 3x2 – 10x 8 has a factor of 3x – 4. what is the other factor of 3x2 – 10x 8?
Answers
The other factor of the polynomial [tex]\rm 3x^2-10x+8[/tex] is ( x - 2 )
It is given that the polynomial [tex]\rm 3x^2-10x+8[/tex] has a factor of [tex]\rm (3x-4)[/tex].
It is required to find the other factor.
What is Polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomial:
[tex]\rm = 3x^2-10x+8[/tex]
Now by using the factorization method:
[tex]\rm = 3x^2-10x+8\\\rm = 3x^2-6x-4x+8\\\rm =3x(x-2)-4(x-2)\\\rm = (x-2)(3x-4)[/tex]
Thus, the other factor of a given polynomial is ( x-2 )
Learn more about Polynomial here:
https://brainly.com/question/17822016
what is the volume of a 6 by 8 cone?
Answers
Answer:
301.7 cm
Step-by-step explanation:
Given,
Height of cone (h)=8cm
base radius (r)=6cm
Volume of the cone (V)=
3
1
πr
2
h
=
3
1
×
7
22
×6×6×8
=
7
2112
=301.7cm
3
Hence, volume of the cone =301.7cm
3
Answer:
402.1402.1 cm
Step-by-step explanation
height = 6cm
Radius= 8cm
What is the square root of ab2?
ab
ba
a²b2
B2
Answers
Answer:
If you mean [tex]\sqrt{ab^{2}[/tex] then the answer is [tex]b\sqrt{a}[/tex]
Step-by-step explanation:
Answer:
ab
Step-by-step explanation:
Original expression:
[tex]\sqrt[]{(ab)^2}[/tex]
Apply the rule [tex](xy)^c=x^c \cdot y^c[/tex]
[tex]\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}[/tex]
Apply the rule [tex]\sqrt{xy}=\sqrt{x} \sqrt{y}[/tex]
[tex]\implies \sqrt[]{a^2 \cdot b^2}=\sqrt{a^2} \sqrt{b^2}[/tex]
Apply the rule [tex]\sqrt{x^2}=x[/tex]
[tex]\implies \sqrt{a^2} \sqrt{b^2}=ab[/tex]
It is estimated that there are 1.2 x 10^57 atoms in the Sun. The number of atoms in the rest of the Solar System is
approximately 1.2 x 10^56 About how many more atoms exist in the Sun than in the rest of the Solar system. ( complete answer in scientific notation
Answers
Answer:
56*56
Step-by-step explanation:
The 56*56 is divided by the same option in the 57
A roll of quarters is 10$ how many q in a roll write a equation
Answers
Answer:40
Step-by-step explanation:
10 devided by .25 = 40
40 quarters
EXPLANATION:
There are 4 quarters in a dollar so there are 40 quarters in 10 dollars