What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x = -9 and x = 1
O x = -5 and x = 5
O x = -4 and x = 4
O x = -1 and x = 9
Answers
Answer:
4th option, x = -1 and x = 9
Step-by-step explanation:
3(x-4)²=75
or, (x-4)²=25
or, x²-8x+16-25=0
or, x²-8x-9=0
or, x²-9x+x-9=0
or, x(x-9)+1(x-9)=0
or, (x-9)(x+1)=0
so, x-9=0 or, x=9
and x+1=0 or, x=-1
The two solutions of the quadratic equation are:
x = -1 and x = 9
How to solve the quadratic equation?The quadratic equation is:
3*(x - 4)^2 = 75
We can expand it as:
3*x^2 - 3*2*4*x + 3*16 = 75
3x^2 - 24x -27 = 0
Now, using Bhaskara's formula we get:
[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]
So the two solutions are:
x = (24 + 30)/6 = 9
x = (24 - 30)/6 = -1
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
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Related Questions
How to you write 1/25 using exponents
Answers
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]
In exponent form, it should be written as [tex]5^{-2}[/tex].
Given that,
The fraction is [tex]\frac{1}{25}[/tex]We need to write in the exponent form
Based on the above information, the calculation is as follows:
[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]
[tex]5^{-2}[/tex]
Learn more: brainly.com/question/17429689
if g(x) is x-3 then what is g(3x)
Answers
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
What is the surface area of the cylinder with height 7 in and radius 3 in? Round your
answer to the nearest thousandth.
Answers
Answer:
188.495
Step-by-step explanation:
Given that,
h=7
r=3
Surface area of a cylinder = 2πr(h + r)
=2π×3(7+3)
=18.8495559215 (10)
=188.495
Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =
1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)
Answers
Answer:
Step-by-step explanation:
P(A and B)=P(A)*P(B)
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
A=66
B=229.18
C=114.59
D=240
Answers
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
PLEASE HURRY!!
3cx + cx =7
Answers
3cx + cx = 7
Add the similar variables
4cx = 7
Divide by 4 on both sides since you isolated the variable
Cx= 1.75
Helppppp me plss, I’ll mark u as brainlest
Answers
[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, cos(A + B) = cos 90º = 0
Please Help!!!!
Write context that will match to the parameters in the following exponential function.
y= 38000. 3x
Answers
Step-by-step explanation:
kak kak jm ok bro open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men
Answer:
n
Step-by-step explanation:
feeeeer
ZABC and ZDEF are complementary angles.
What is the measure of x?
А,
С X = [?]°
549
D
B
Х
>F
Answers
Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Answer:
IF ABC and DEF are complementary then ABC + DEF = 90°
Therefore, DEF = 90° -ABC
Since DEF = 54° and DEF = x then
x = 90° -54°
x = 36°
Step-by-step explanation:
pls help. do all three for brainliest!
Answers
Answer:
Rectangular pyramid volume: 8×9×9/3 = 216 cm³
Rectangular prism volume: 8×9×7 = 504 cm³
Total volume of composite figure: 216+504 = 720 cm³
Answer:
720 cm³
Step-by-step explanation:
Rectangular pyramid:
Volume = [tex]\frac{1}{3}BH[/tex]
H = 9 cm
B-> base area = area of rectangle
B = length * width = 8*9 = 72 square cm
[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]
Rectangular prism:
length = l = 8 cm
Width = w = 9 cm
Height = h = 7 cm
Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³
Volume of composite figure = volume of pyramid + volume of r. prism
= 216 + 504
= 720 cm³
Which is the best estimate of -14 1/9 (-2 9/10)
Answers
Answer:
Step-by-step explanation:
-14 1/9 is close to - 14
-2 and 9/10 is close to - 3
The best estimate would be 42 (14 * 3)
Estimate means you put your calculator on the kitchen counter until you've done this question.
Let's see what the actual answer is. 40.92222 which is close to 41.
42 is a pretty good estimate.
i need help with this stuff and i need the answers step by step thank you!!
Answers
Answer:
2. A
3. C
4. B
Step-by-step explanation:
2. To answer # 2, just add all the sides together...
(5x-7) + (3x-4) + (2x-6)
= 10x - 17
3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...
a) 28 divided by 7 is 4, so divide the whole fraction by 7 to see if the fraction is proportional...
28/7 = 4
49/7 = 7
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
b) 4 goes into 16 4 times so multiply [tex]\frac{4}{7}[/tex] by 4...
4 x 4 = 16
7 x 4 = 28
[tex]\frac{16}{28}[/tex] = [tex]\frac{16}{28}[/tex]
c) 4 goes into 16 4 times so multiply the whole fraction by 4...
4 x 4 = 16
7 x 4 = 28
[tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]
d) 4 goes into 20 5 times to multiply the whole fraction by 5...
4 x 5 = 20
7 x 5 = 35
[tex]\frac{20}{35} = \frac{20}{35}[/tex]
C is the answer because the fractions are not proportional.
4) 25% is a quarter of 100%. A third of 100% is 75%.
$120 - 0.25($120) = $90
Another expression for the for sale price is...
B) 0.75($120) = $90
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
Answers
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
x3+ 8
a3+125
27a3+125b3
porfa lo nesecito para hoy
Answers
Answer:
x³+8 = x³+2³ = (x+2)(x²-2x+4)
a³+125 = a³+5³ = (a+5)(a-5a+25)
27a³+125b³
= (3a)³+(5b)³
= (3a+5b)(9a²-15ab+25b²)
if 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?
Answers
Answer:
between 10 and 22
Step-by-step explanation:
A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.
Difference: 16 - 6 = 10
Sum: 6 + 16 = 22
Answer: between 10 and 22
rationalise 3 square root 2 divided by square root 3
Answers
Answer:
root3
Step-by-step explanation:
multiply the numerator and denominator by the root of 3
3root2×root3/root3×root3
3root6/3
note root3×root3=3
the 3 up will divide the 3 down
and that lives u with the answer root2
sorry currently won't have a way of writing the roots thats y am using words
anyone wanna help me with this.
Answers
Answer:
b
Step-by-step explanation:
2/(x+2)≠1/(x+1)
Which equation has the solution x = -4? 2(x - 4) = 16 3x + 6 - 2x = -2 (1/4)x + 4 = 3 (x + 6)3 = -6
Answers
Answer:
hello its (1/4)x+4=3
Step-by-step explanation:
PLEASE HELP! I'M TIMED
Which phrase represents this expression?
(62−42)×3
3 times the difference of 62 and 42
3 times the difference of 42 and 62
the difference of 62 and the product of 3 times 42
the difference of the product of 3 times 42 and 62
Answers
Solving expression
[tex]\\ \rm\Rrightarrow (62-42)3[/tex]
[tex]\\ \rm\Rrightarrow 3(20)[/tex]
[tex]\\ \rm\Rrightarrow 60[/tex]
Answer:
3 times the difference of 62 and 42
Step-by-step explanation:
(62−42)×3
The difference of 62 and 42 times 3
Geometry, please answer question ASAP
Answers
Answer:
D
Step-by-step explanation:
Cos(D) = adjacent / hypotenuse
The adjacent side is the one making up angle D
adjacent side = f
hypotenuse = e
Cos(D) = f/e
D = cos-1(f/e)
please help asap if possible!!
Answers
Answer:
Does the answer help you?
Could someone plz help ^w^ thank you!
Answers
Answer:
The first one:)
Step-by-step explanation:
REMEMBER TO:
1. Give me Brainliest, please... (ASAP)
2. HAVE A WONDERFUL DAY!
Answer:
12 - 7 = 5
Step-by-step explanation:
It is an equation
What is -
x+3x=25
2x+36x=2
Answers
Answer:
Answer 1 : 25/4
Answer 2 : 1/19
Step-by-step explanation:
Question 1:
x + 3x = 25
4x = 25
x = 25/4
Question 2:
2x+36x=2
38x = 2
x = 2/38
x = 1/19
6.17 greater or less 61 87/100
Answers
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
Inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
i know answer need explan.
Answers
Answer:
Hello,
4 hours
Step-by-step explanation:
Let say w the work clean one room.
h the number of hours worked
p the number of people who works
k is a constant
6w=k*h*p
3 h, 2 p==> 6w
6w=k*3*2 ==> k=w
5 p, 20 w ==>
20w=k*h*p
20w=w*h*5
20=h*5
h=20/5
h=4
It will take 4 hours.
how do you solve division easly
Answers
Answer:
division involves 5 steps:
D Divide
M Multiply
S Subtract
B Bring down
R Repeat or Remainder
Step-by-step explanation: i hope it helped
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Plz someone answer
Answers
Answer:
3.667
Step-by-step explanation:
30 miles per cm means divide distance by 30 or
110/30 = 3.667
What is an algebraic expression for the word phrase 6 times a number n?
Answers
Answer:
6n i guess?
Step-by-step explanation:
think of as this
n=1 (1n)
n×6=n6
Answer:
6n
Step-by-step explanation:
when we say 6times a number,it means 6 multiplying the number
Expand and simply
(5x + 4)²
Answers
Answer:
25x^2 +40x+16
Step-by-step explanation:
(5x + 4)²
(5x+4)(5x+4)
FOIL
first 5x*5x = 25x^2
outer 5x*4 = 20x
inner 4*5x = 20x
last = 4*4 = 16
Add them together
25x^2 +20x+20x+16
Combine like terms
25x^2 +40x+16
Answer:
[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
Answers
Answer:
(1,-4)
Step-by-step explanation:
We add 4 to the x-coordinate, so -3+4=1.
