Question 9 of 10 Select the two values of x that are roots of this equation. 2x-3 = -5x² A. X = T NIM B. X= // 5 □ C. x = 1/3 D. X = -1 SUBMIT
Answers
The roots of the equation 2x - 3 = -5x² are x = -1 and x = 3/5. Therefore, the correct options are (B) and (D).
To find the roots of the equation 2x - 3 = -5x², we need to solve the equation and determine the values of x that satisfy it.
Rearranging the equation, we have -5x² - 2x + 3 = 0.
To solve this quadratic equation, we can either factor it or use the quadratic formula. Let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the equation -5x² - 2x + 3 = 0, the coefficients are:
a = -5, b = -2, c = 3.
Plugging these values into the quadratic formula, we get:
x = (-(-2) ± √((-2)² - 4(-5)(3))) / (2(-5))
x = (2 ± √(4 + 60)) / (-10)
x = (2 ± √64) / (-10)
x = (2 ± 8) / (-10)
Simplifying further:
x = (2 + 8) / (-10) or x = (2 - 8) / (-10)
x = 10 / (-10) or x = -6 / (-10)
x = -1 or x = 3/5
Therefore, the roots of the equation 2x - 3 = -5x² are x = -1 and x = 3/5.
Among the given options, the correct answers are:
D. x = -1
B. x = 3/5
For more such questions on roots , Visit:
https://brainly.com/question/428672
#SPJ11
Related Questions
What is the measure of arc BD?
Answers
Step-by-step explanation:
step 1. mBD = 63°. The arc angle measures the same from the center of a circle.
A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$626.75
Step-by-step explanation:
First, we must find how much tax will be added to the TV's price:
Step 1: Convert the percentage to a decimal:
To convert a percentage to a decimal, divide it by 100
8.25/100 = 0.0825
Step 2: Multiply the TV's price by that decimal:
578.98 * 0.0825 = 47.76585
So $47.76585 will be added to the price
Now, we can calculate the total price:
Step 3: Add the tax we jsut calculated to the TV's price to find total price:
578.98 + 47.76585
= 626.74585
Step 4: Round to the nearest cent (2 decimal places)
626.75
So the total price is $626.75
y=4x+6 2y=8x+12 what’s the solution is it one solution, no solution, or infinitely many solutions
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
y=4x+6
2y=8x+12
------------
simplify 2y=8x+12 into y=4x+6
y=4x+6 matches the second equation.
what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form
Answers
Answer:
(0,7) and (2,8)
slope =8-7=1
2-0=2
m=1/2 meaning slope
equation=y-7/x-o=1/2
2(y-7)=1(x-0)
2y-14=x -o
2y=1x +14
y =1/2 x +7
Step-by-step explanation:
to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2
you then take one point as (x,y) and one of the coordinates =the slope
then you divide by the 2 on both sides in order to get y=mx + c
can someone tell the answers?
Answers
Answer:
IT B
Step-by-step explanation:
BECAUSE IT B
Answer:
A. B and D
Step-by-step explanation:
A because: X can be the minutes she goes over
B because: X can be the customers coming in for breakfast
D because: X can be every ticket
it can't be C because you would take away the eggs not add
AYO HELP A MAN OUT PLEASE
Answers
Answer:
I think it's A I'm not sure tho
Step-by-step explanation:
the answer is A and I think C I don't know though ur welcome!:)
How many gallons of gas would it take to drive 13,500 miles? (URGENT)
Answers
Answer:
24 gallons :)
Step-by-step explanation:
The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of selecting a red cube at random?
Answers
An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?
Answers
Answer:
719 kilometers
Step-by-step explanation:
6,471/9 = 719
that's the unit rate
Answer:
719
Step-by-step explanation:
6,471/9=719
719*9=6,471
which means the correct answer is 719
YW!!
3/8÷5/2
..
..
.
.
.
.
.
.
.
.
.
.
.
.
.
Answers
Answer:
3/20
Step-by-step explanation:
Can you help me please
Answers
Answer:
D?
Step-by-step explanation:
if i got it wrong im truly sorry
a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination
Answers
Answer:
I guess its 16
Step-by-step explanation:
Because
Hieght =6cm
Base = 8cm
Hypotenuse=?
by pythagoras formula = a^2+b^2=c^2
6 *6 + 8*8 =c^2
36 + 64 = c^2
100 =c^2
Root of 100 is 10
so the whole tree is = to 10 +6 =16
If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?
Answers
Answer:
f(g(x))=1x^2 +-2x+1
Step-by-step explanation:
your inputs should be
1
-2
1
If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
Find out more information about function here
https://brainly.com/question/14708913
#SPJ2
Rizwan has 100 ruppees . He spent rs 25 in ice cream . Rs 45 on pizza, and the rest on other things . What percantage did he spend on other things .
Answers
Answer:percantage spent on other things = 30%
Step-by-step explanation:
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
Money spent on rest things = Total money - ( Money spent on ice cream + Money spent on pizza)
100 -(25+ 45)
100-70= Rs 30
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
= Rs 30/ Rs 100 x 100
0.3 x 100 = 30%
A batch of 26 television sets are being checked by two supervisors. Both start from the same end. One supervisor checks every
2nd set and puts a blue mark on it. Another supervisor checks every 3rd set and puts a green mark on it. How many television
sets will have BOTH a blue and a green mark on them
Answers
Answer:
4
Step-by-step explanation:
Total number of television sets = 26
With the condition given that; every 2nd set had blue mark on it, and every 3rd set had green mark on it.
The number of only blue marked set is 8, while the number of only green marked set is 4.
So that, the number of television sets with both blue and green mark on them is 4.
Assume that the lines are parallel.
Answers
Answer:
left ?= 110
right?= 70
Step-by-step explanation:
The area covered by a topic lie plant triples every year. By what factors does the are covered by the plant increase every month?
Answers
Answer:
16.67%
Step-by-step explanation:
If area triples every year :
This means that :
With an initial area of 10;
Area at the end of the year = 3 * 10 = 30
Percentage increase per year :
(30 - 10) / 10 * 100%
(20 / 10) * 100%
2 * 100%
= 200% per year
Therefore, monthly increase %
Yearly % increase ÷ number of months in a year
200% ÷ 12
= 16.666666%
= 16.67%
Find the measure of arc BC
Answers
Answer:
The measure of the Arc BC is 80
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
Answers
Answer:
[tex] - 8x + 120y - 56[/tex]
Step-by-step explanation:
evaluate the power calculate
[tex]8(1 x + 3 \times 5y - 7[/tex]
the coefficient of 1 doest have to be written but keep the sign
[tex]8( - 1x + 15y - 7[/tex]
remove the parentheses
if you can help me i’ll make brainliest
Answers
Answer:
help me
Step-by-step explanationok so
Answer:
pts
Step-by-step explanation:
Help meh ill mark 1 and 1/2 +2/5 PLZZZZZZZZZZZZZZZZ
Answers
Answer:
1 9/10
Step-by-step explanation:
-30=5(x+1) x=?
please help
Answers
Answer:
x = -7
-30 = 5(x + 1)
5(x + 1) = -30
5(x + 1)/5 = -30/5
x + 1 = -6
x + 1 - 1 = -6 -1
x = -7
5. A jewelry supply shop buys silver chains from a manufacturer for $45.00. and then sells the
chains at a 57% markup. What is the retail price of a silver chain?
Answers
Write the answer in its simplest form. -8 + 13
Answers
Answer:
5
Step-by-step explanation:
-8 + 13 is equal to 5. It is positive since the larger number is positive.
porfis ayúdenme es para hoy
Answers
Answers:
1. V=triangle area × length
V=1/2×8×12×20
V=960in³
2. triangle area × length
Area of the triangle=1/2×4×11
A=22ft²
V=22×6
V=132ft³
3. b, volume always have cubic power (³)
4. d, same reason of question 3
x² + y² = 49
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.
Answers
Answer:
1....y=7
2...x=7
3...y=5
4...y=6
5...x=2√10
Please help will give brainliest!
Answers
Answer:
Should be 1 if im not wrong Then Mark Me brainliest
Step-by-step explanation:
a negative times a neg equals a posative
Neg x pos = neg
pos x neg = neg
pos x pos = pos
neg x neg = pos
so if there greater then over neg<, >,=
You would look at the problem for given f(x)=
x → -1 and neg times neg more or less
-1 x -1 = 1
what is one astronomical unit in inches
Answers
Answer:
5.89E+12
Step-by-step explanation:
Choose the two number sentences that are true.
A. 5+7= 11+2
B. 3 + 3 = 20 - 9
C. 5+9 = 19 - 4
D. 12 +7 = 5 + 14
E18 - 6 = 15 - 1
Answers
Answer:
D
because 12+7=19
5+14=19
Ronald bought 1.5 pounds of red apples and 0.75 pounds of yellow apples. He bought 1.6 times as many pounds of green apples as red apples and yellow apples combined.
How many pounds of green apples did Ronald buy?
Answers
Answer:
To find the number of green apples he bought, We do the following:
calculate the total mass of red and yellow apples bought 1.5+0.75=2.25 poundsSince the mass of green apples bought was 1.6 times the combined mass of yellow and red apples bought we get;2.25×1.6=3.6pounds He bought 3.6 pounds green apples