Answer:
x = (√6/√5) - 1
Step-by-step explanation:
- 10 x = 5x^2 -1
can be written as
5x² + 10x - 1 = 0
completing the square method :
for quadratic equation of the format ax² + bx + c = 0 ,
step 1, divide equation by a
therefore. dividing the equation by 5
=> x² + 2x - (1/5) = 0
=> x² + 2x = 1/5
c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)
b/2 = 1
=> x² + 2x +1 = 6/5
=> (x + 1)² = 6/5
=> x = (√6/√5) - 1
5+3(-x-9)+ 4x – 2(5x-1)
Answer:
=20 -9x
Step-by-step explanation:
5+3(-x-9)+ 4x – 2(5x-1)
=5 -3x -27 + 4x – 10x + 2
=5 + 2 -27 -3x + 4x – 10x
=20 -9x
NEED HELP ASAP!!! Which of the following correctly uses absolute value to show the distance between −70 and 15? Question 6 options: 1) |−70 − 15| = |−85| = −85 units 2) |−70 + 15| = |−55| = 55 units 3) |−70 − 15| = |−85| = 85 units 4) |−70 + 15| = |−55| = −55 units
Answer:
3) |−70 − 15| = |−85| = 85 units
Step-by-step explanation:
Absolute value ignores negative values so the equation when finding the distance between −70 and 15 is 70 + 15 which equals 85.
Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2
Answer:
B) f(x) = 3x^2+5x-2 and D) f(x)=x^3 -8x^2
Step-by-step explanation:
the degree of the polynomial function below is 5 and the leading coefficient of this polynomial function is -3 :)
Answer:
Which polynomial functions are written in standard form? Select all that apply.
B. f(x) = –3x5 + 5x – 2
D. f(x) = x3 – 8x2
Step-by-step explanation:
The degree of the polynomial function below is 5.
f(x) = –3x5 +4x – 2
The leading coefficient of this polynomial function is
✔ –3
ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61
The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of [tex]\sqrt{61}[/tex]
The exact distance is [tex]\sqrt{61}[/tex] which approximates to roughly 7.81024967590666
----------------------
This is what the steps should look like
[tex]AB = \sqrt{ (6-1)^2 + (2-(-4))^2}\\\\AB = \sqrt{ (5)^2 + (6)^2}\\\\AB = \sqrt{ 25 + 36}\\\\AB = \sqrt{ 61} \ \ \text{ Exact distance}\\\\AB \approx 7.81024967590666 \ \ \text{ Approximate distance}\\\\[/tex]
Please please help its urgent and i dont understand!!
Answer:
m<STW
Step-by-step explanation:
The m<4 is the vertex which is also T.
You can answer it with m<T but since there is lots of there, just to be more specific m<STW would be the answer.
The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.
What is the equation of the graph shown?
Greetings from Brasil...
As we have a line, the function will be given by the expression:
F(X) = AX + B
where
A = ΔY/ΔX
B = where the line intersects the Y axis
Looking at the graph we have already concluded that
B = - 3
A = ΔY/ΔX
A = (5 - 3)/(4 - 3) see attached picture
A = 2
So,
F(X) = AX + B
F(X) = 2X - 3(please help) the question is in the comments because idk whats going on with brainly-
If m = 2 and b =-6, what is the correct slope intercept equation?
Answer:
y=3x+6
Step-by-step explanation:
if it is 9:39 what time would it be a hour and a half later
Answer:
It would be 11:09
Answer:
11:09
Step-by-step explanation:
30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09
2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power
Answer:
d. 4^9
Step-by-step explanation:
Question:
Which expression is equivalent to 4^9/4^0?
a. 4^8
b. 4^0
c. 4^7
d. 4^9
Solution:
By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.
Any number divided by 1 equals the number itself.
For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.
4^0 = 1
Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.
4^9/4^0 = 4^9/1 = 4^9
The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h
h=A 6/b or 6 divided b = h
5w +3w=40 simplify your answer as much as possible
Answer:
w=5
Step-by-step explanation:
8w=40
/8 /8
w=5
A seventh-grade class 13 boys and 17 girls. Ms.King randomly choose one student to be the line leader. Which is the probability that a girl will be the line leader?
Answer: i hope it helps
In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If ... ... If a student is chosen at random, what is the probability of choosing a girl or an A student? ... I thought it would be B because we need to minus 3/30 probably that's both girl and A student.
Step-by-step explanation:
The area of a square poster is 92 square inches. What is the length of one side of the poster to the nearest tenth.
Answer:
23 square inches
Step-by-step explanation:
92/4
X-27=-(27-x) It’s for math 9th grade
Answer:
x - 27 = -(27 - x)
x - 27 = -27 + x
x = x
-27 is moved to the right side making it +27 and cancelling out with the -27.
Given: KM bisects JKL
Prove: m MKL= 1/2m JKL
please explain
Answer:
Step-by-step explanation:
Given :
KM bisects JKL
To Prove :
m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]
Statements Reasons
1). KM bisects ∠JKL 1). Given
2). m∠JKM = m∠MKL 2). Definition of congruent angles
3). m∠JKM + m∠MKL = m∠JKL 3). Angle addition postulate
4). m∠MKL + m∠MKL = m∠JKL 4). Substitution property of equality
5). 2m∠MKL = m∠JKL 5). Distributive property
6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex] 6). Division property of equality
(m • n) • p=m • (n • p)
what property is this
Answer:
Step-by-step explanation:
PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b
7b(1 + 4)
The 7b is shared between the two numbers, so factor it out
HELP ASAPPP PLEASE HELPPPPPPP
Answer: 49.5 miles
Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)
Hope this helps!
Please Mark Brainliest!
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)
Answer: y = 4x - 12
Step-by-step explanation:
4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️
Answer:
300 miles in 2.5 hours
divide 300 by 2.5
120 miles per hour
120 x 9 = 1080
Step-by-step explanation:
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 +
Answer: A and B
Step-by-step explanation:
I just took the assignment.
Answer: A and B
A.) Leena consumed 1,500 calories at dinner.
B.) The equation 2/3 (x + 400 + 350) = x can be used to model the situation.
Step-by-step explanation: i hope this helps :)
What is the measure of the smallest angle in the figure? The figure is not drawn to scale.
Answer:
(4x-3)°=37
Step-by-step explanation:
solve for x
6x-7+90+4x-3=180
10x=180-80
10x= 100
x=10°
from the equations;
4x-3= 4(10)-3=37° and
6x-7= 6(10)-7=53
therefore the smallest angle =(4x-3) =37
what is the domain of the function
Answer:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
Step-by-step explanation:
didn't know if you needed the definition or not :)
Find the approximate side length of a square game board with an area of 161 in?
Solve for x.
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
x = [?]
Answer:
x= 11
Step-by-step explanation:
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
Multiply both sides by 2:
2(3x -5)= 12 +4x
Expand:
2(3x) +2(-5)= 12 +4x
6x -10= 12 +4x
Bring all x terms to 1 side, constant to the other:
6x -4x= 10 +12
2x= 22
Divide by 2 on both sides:
x= 22 ÷2
x= 11
PLS HELP, a group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answer:
We need more information about C.
Hi help me please I don't know how to do it "using the formula evaluate (87)^2"
Answer:
7,569
Step-by-step explanation:
[tex](87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569[/tex]
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.
Answer:
10 miles per hour I'm not sure tho just trying to help :)
Step-by-step explanation:
try to divide
Answer:
10
Step-by-step explanation:
600mph= 10miles/min