Answer:
-4
Step-by-step explanation:
3x(x + 4) = 135
3x² + 12x = 135
3x² + 12x - 135 = 0
On dividing by 3
x² + 4x - 45 = 0
x² + (9x - 5x) - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x + 9)(x - 5) = 0
x = 5 & -9
Sum = -9 + 5
Sum = -4
The sum of the solutions of the given quadratic equation will be -4.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given equation,
⇒ 3x(x + 4) = 135
Multiply the 3x as,
3x² + 12x = 135
3x² + 12x - 135 = 0
Divide the above equation by 3 as
3x²/3 + 12x/3 - 135/3 = 0
x² + 4x - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x - 5)(x + 9) = 0
x = 5 and x = -9
Therefore the sum will be -9 + 5 = -4
Hence "The total of the quadratic equation's answers will be -4".
For more about the quadratic equation,
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PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
1/5 so the first option
Step-by-step explanation:
slope
(y2-y1)/(x2-x1)
Rewrite this problem combining like terms!!
2 m − 3 m + 4
0.41g -2) + 1.2 =-(g-1) + 2.9
Answer:
g=-3repeated
Step-by-step explanation:
please help!! (only correct answers and no links)
Four transformations of the function f(x) are given below.
For each transformation, drag the graph that shows the result of that transformation into the box under it.
Answer:
f(x) - 3 : the ones that move the graph down
f(x -3) : the ones that move the graph to the RIGHT
Step-by-step explanation:
graph transformations:
f (x-3):
if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.
f (x) -3:
if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.
hope i could help:)
When you purchase a car in the future, what are at least 3 things
you will have to think about first?
Answer:
How much it cost!? Will it fly?! How far will it fly?!
Step-by-step explanation:
Pls explain how to solve it!!
Step-by-step explanation:
honestly kinda stumped so ima give you the best copy and pasted answer ever
A:
Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3
and also x=7 y=1
HOPE I HELPED, SORRY IF I GOT IT WRONG <3
−8x−10=4x+14 what’s x
Answer:
x=-2
Step-by-step explanation:
−8x−10=4x+14
-8x-4x=14+10
-12x=24
[tex]\frac{-12x}{-12} = \frac{24}{-12}[/tex]
x = -2
A tree is broken at a height of 9m from the ground and its top touches the ground at distance of 12m from the base of the tree. Find the original height of the tree.
Answer: i took the test its number 555555
Step-by-step explanation:
Brainliestttytttttdd
Answer: Answer C
Step-by-step explanation:
Only y=x-2 passes through both points as it starts pretty low and rises to the right through both points B and C
The answer is A. y= -2x + 1
Two cars leave an intersection at the same time. One drives east while the other travels south at 25 miles per hour faster than the other. After 2 hours, the cars are 250 miles apart. How fast is the southbound car driving?
Step-by-step explanation:
Pythagoras :
c² = a² + b²
c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.
after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.
x² + (x + 50)² = 250²
x² + x² + 100x + 2,500 = 62,500
2x² + 100x = 60,000
x² + 50x = 30,000
x² + 50x - 30,000 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 50
c = -30,000
x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =
= (-50 ± sqrt(2500 + 120000)/2 =
= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =
= -25 ± 175
x1 = -25 + 175 = 150 miles
x2 = -25 - 175 = -200 miles.
negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.
therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).
and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).
Need the answer right now please help meeeeeeee
answer
2.5
Step-by-step explanation:
that is what I got so
proportion margin of error equation when proportion is negative
Step-by-step explanation:
1.Find the sample size, n, and the sample proportion. The sample proportion ρ is the number in the sample with the characteristic of interest, divided by n.
2. Multiply the sample proportion by 1 - ρ.
3. Divide the result by n.
4. Take the square root of the calculated value. You now have the standard error
Please help me , correct answer will get brainiest!
answer is probably just 4
4/1 rise over run
Johnny deposited $8000 into his savings
account. How much interest is earned in
three years with an interest rate of 3%?
Answer:
$720
Step-by-step explanation:
I (Interest) = P (principal) x R (rate) x T (time, in years)
I = 8000 x .03 x 3
I = 720
PLEASE HELP ME I NEED HELP
Answer:
3052.1 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³ . . . . r is the radius
The radius is half the diameter, so is 9 in. Then the volume is ...
V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³
Write the expanded form of the expression.
3(4x - 6) =
Answer:
12x - 18
Step-by-step explanation:
3 x 4x = 12x
3 x -6 = -18 (Negative and positive make a negative.)
12x - 18
1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
From 93 books to 144 books
51 Books
I think this is what you're looking for?
=
The line y = 4x + 3 crosses the y-axis at A.
1) What is the coordinates of point A?
Answer:
A(0,3)
Step-by-step explanation:
the line crosses y-axis so its x-coordinates must be zero,
so we subistitute by x=0 in the equation of the line, from this we get y=3
then the coordinates of point A will be (0,3)
What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2
Answer:
mass=300kg
acceleration=5m/S2
force=?
Now,
force= m×A
=300kg×5
=1500 Newton answers
Step-by-step explanation:
hop this may help you
Can someone plz help me? :(
the answer to your question is B.) 12x
Someone please help it’s due today in like 30 min I will give brainliest
Answer:
First pic X= 13.036
Second pic x= 11.23
Step-by-step explanation:
Solve the system of equations 4x – 5y = –6 and -6x + 7y = 12 by
combining the equations.
Answer:
x=-9, y=-6. (-9, -6).
Step-by-step explanation:
4x-5y=-6
-6x+7y=12
----------------
6(4x-5y)=6(-6)
4(-6x+7y)=4(12)
-----------------------
24x-30y=-36
-24x+28y=48
-----------------------
-2y=12
y=12/-2
y=-6
4x-5(-6)=-6
4x+30=-6
4x=-6-30
4x=-36
x=-36/4
x=-9
use substitution method (y = 2x-10 (2y=x-8
Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)Which inequality is graphed on the number line?
Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6
Answer:
C
Step-by-step explanation:
If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6
Write inequalities for the following:
A) AJ makes at least 20 dollars
B) Lyla has no more than 70 barrettes
C) Rook takes at most 6 presents
D) River gives no less than 8 bones
Answer:
AJ. x<20
Lyla. x> or equal to70
Rook. x>or equal to 6
River. x<8
I hope that this helped
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
Every eight minutes the river raft can load 88 passengers what is the loading rate for passengers per minute
Answer:
11 passengers per minute.
Step-by-step explanation:
To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.
88/8 = 11
To check:
11 passengers per min x 8 mins = 88 passengers.
At the store one pack of pencils are on sale 4 for $1.25. Another pack has 8 pencils for $2.50 with 20% off. Which is the better deal?
Answer:
second pack
Step-by-step explanation:
1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31
2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.
I hope it wasn't too confusing