[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
how long is each side of a square with a perimeter of 12.32 centimeters
Step-by-step explanation:
Let each side of square be x
So, x+x+x+x = 12.32
4x = 12.32
x = 12.32/4
x = 3.02 cm
can someone answer my question.........
Answer:
Rhombus
Energy used
Step-by-step explanation:
A rhombus is formed fromm the intersection, since the stick have equal length, Hence, all the sides will be equal and the opposite side will be parallel.
If a person exercises more and more, more energy is utilized, the dependemt variable here is the amount of energy utilized because it is the measured variable whose value is based on the amount or level of exercise the body is subjected to. The amount of exercise is the dependent variable as it gives influences the amount of energy expended
plz help me I'm literally about to cry
Answer:
[tex](2,4)[/tex]
Step-by-step explanation:
Hope it is helpful...
whats the answer for
x/9+7>10
Answer:
x > 27
Step-by-step explanation:
x/9 + 7 > 10
Subtract 7 from goth sides.
x/9 > 3
Multiply both sides by 9.
x > 27
If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24
Answer:
Option (2)
Step-by-step explanation:
Two functions have been given as,
m(x) = x² + 3
n(x) = 5x + 9
And we have to find the value of (mn)(x).
Since, (mn)(x) = m[n(x)]
Therefore, m[n(x)] = (5x + 9)² + 3
= 25x² + 90x + 81 + 3
= 25x² + 90x + 84
This expression matches with the expression given in option (2).
Therefore, Option (2) will be the answer.
Please help me on this question
Answer:
8π
Step-by-step explanation:
A=180/360×π(4^2)
A=1/2×16π
A=8π
)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?
Answer:
7 5/6
Step-by-step explanation:
16 2/3 - 8 5/6
16 4/6- 8 5/6
7 5/6
Solve this pleaseeeee
Answer:
-4 < n ≤ 5
Step-by-step explanation:
________________
can someone tell me the answers to this?
r= 56°
P=40°
c=14°
m=56°
Hope it helps you....
Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet
Answer:
Width = 15 feet
Length = 32 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width = x feet
Length = (x + 17) feet
Perimeter = 94 feet
Perimeter of a rectangle = 2(length + width)
94 = 2{(x + 17) + x}
94 = 2(x + 17 + x)
94 =2(2x + 17)
94 = 4x + 34
94 - 34 = 4x
60 = 4x
x = 60/4
x = 15
Width = x feet = 15 feet
Length = (x + 17) feet
= 15 + 17
= 32 feet
which graph shows the solution to this system of linear inequalities?
Answer:
c or b
tep-by-step explanation:
Select the elements in H.
Let H = {cube numbers}
A-8
B-49
C-3
D-125
E-1
F-100
G-25
H-12
Answer:
H={8,125,1}
Step by step explanation:
8 is the cube of 2125 is the cube of 51 is the cube of 1Which property of exponents must be used first to solve this expression? (iy2)1/3
Step-by-step explanation:
"must be used first" is a very hard phrasing. multiplication is commutative.
and I am not sure that the problem is stated correctly.
I read here
(i×y²) to the power of 1/3.
i is the imaginary constant sqrt(-1) ?
exponents brought themselves to the power of something else multiply.
e.g.
[tex]({2}^{3})^{4} = {2}^{12} [/tex]
exponents in multimedia expressions of the same base simply add up.
e.g.
[tex] {2}^{3} \times {2}^{4} = {2}^{7} [/tex]
a negative exponent means that the expression with the same positive exponent is just at the bottom of a division.
e.g.
[tex] {2}^{ - 3} = 1 \div {2}^{3} [/tex]
and a fraction as exponent specifies a root to be taken.
e.g
[tex] {2}^{1 \div 3} = \sqrt[3]{2} [/tex]
so, I would do all the exponent multiplications to simplify the expression.
[tex] \sqrt[3]{i \times {y}^{2} } = ({i \times {y}^{2} })^{1 \div 3} = [/tex]
[tex] = ( { - 1}^{1 \div 2} \times {y}^{2} ) ^{1 \div 3} [/tex]
1/2 × 1/3 = 1/6
2 × 1/3 = 2/3
[tex] = { - 1}^{1 \div 6} \times {y}^{2 \div 3} = \sqrt[6]{ - 1} \times \sqrt[3]{ {y}^{2} } [/tex]
so, as we can see, we can move freely from multiplying the fraction exponents to converting them into root expressions and vice versa.
What is the distance between the points (5,0) and (2,1)?
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
3^2+1^2=c^2
9+1=c^2
c^2=10
c= [tex]\sqrt{10}[/tex]
Solve for x. (have to add extra letters so the question works)
PLEASE ADD STEPS AND EXPLAIN IT IN ANY WAY POSSIBLE SO I CAN LEARN
Answer:
x=11°
Step-by-step explanation:
-Sum of angles of a triangle should alway be 180 degrees
35+110+2+3x=180
-Add all known values
147+3x=180
-Subtract 147 from both sides
3x=33
-Isolate x by divind both sides by 3
x=11°
which statement is true regarding the functions on the graph?
Answer:
where's the graph?
Step-by-step explanation:
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
I need help with my math! Can you please help me!!
Answer:
[tex]y=-|x-1|+3[/tex]
Step-by-step explanation:
The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;
[tex]y=(+-)n|x-k|+h[/tex]
The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.
[tex]y=-|x|[/tex]
The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).
[tex]y=-|x-1|[/tex]
The function is shifted (3) units up, thus the position of (h) is occupied by a (3).
[tex]y=-|x-1|+3[/tex]
Therefore the following answer choice is correct, as it fits all of the requirements;
[tex]y=-|x-1|+3[/tex]
AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $200 per month on cell phone expenses, how many additional lines can he afford? Which inequality represent the given situation. please help for my final
Given:
Cost of four lines = $125
Cost of each additional line = $15
Jason wants to spend at most $200 per month on cell phone expenses.
To find:
The inequality for the given situation.
Solution:
Let [tex]x[/tex] be the number of additional line.
Cost of one additional line = $15
Cost of [tex]x[/tex] additional line = [tex]\$15x[/tex]
Total cost = Fixed cost + Addition cost
= [tex]125+15x[/tex]
It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.
[tex]125+15x\leq 200[/tex]
Therefore, the correct option is C.
14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?
Answer:
1/5
Step-by-step explanation:
20/100 or 1/5
Help i dont know what this is
Answer:
Use a permitation :D
P(4,2)= 4x3=12
D, 1/12
Simplify Negative two and one-third minus negative ten and one-sixth
Answer:
7 5/6
Step-by-step explanation:
-2 1/3 - (-10 1/6)
-7/3 + 61/6 (subtract neg = add positive)
-14/6 + 61/6 = 47/6 = 7 5/6
Answer:
[tex]-2\frac{1}{3} - (-10\frac{1}{6} )[/tex]
Minus minus is plus so:
[tex]-2\frac{1}{3} + 10\frac{1}{6} [/tex]
Make improper:
[tex]-\frac{7}{3} + \frac{61}{6} [/tex]
Common denominator:
[tex]-\frac{14}{6} + \frac{61}{6} [/tex]
Equals=
[tex]\frac{47}{6} [/tex]
Find the equation of a line with the point (5, -3) and slope m = 2. (y=mx+b)
Answer:
y = 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 2 , then
y = 2x + b ← is the partial equation
To find b substitute (5, - 3) into the partial equation
- 3 = 10 + b ⇒ b = - 3 - 10 = - 13
y = 2x - 13 ← equation of line
What is true about the sides of KNM?
KN = NM
KN + NM = KM
KM = 2(NM)
KN = One-halfKM
Answer:KN = NM
Step-by-step explanation:
you desperate anyways that’s why you here
Answer:
its the first one
Step-by-step explanation:
i did it
please mark me brainliest
Help mark complete the pairs of expressions
13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?
Answer:
y = - 2x + 3
Step-by-step explanation:
since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.
That is ,
[tex]m_1 \times m_ 2 = - 1[/tex] [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]
[tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]
Find the equation the line perpendicular to the given line :
[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]
[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
I really need help :(
Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
The picture is above I’ll mark as brainliest.
Answer:
area=l×b
24=6×b
or,24=6b
or, 24/6=b
or,4=b
therefore,b=4..
width =4
Answer:
4 in
Step-by-step explanation:
Let x be the width of the triangle
we know that the area of the rectangle above is the product of the length and the width
[tex]6 . x = 24\\[/tex]
divide both sides by 6
[tex]6x/6 = 24/6 \\\\x = 4[/tex]
the width is 4 inches
A sick person takes 10 ml of medicine three times a day how much medicine does the person take in 15 days
Answer:
450 mL
Step-by-step explanation:
Given that :
Amount in mL of medicine taken at a time = 10mL
Number of times taken per day = 3 times
Amount in mL taken per day = 3 * 10mL = 30mL
Total amount in mL of medicine taken in 15 days :
Amount in mL taken per day * 15 days
= 30mL * 15
= 450mL
Use the law of cosines to find the length of a
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
[tex]\frac{sin55}{175}=\frac{sin42}{a}[/tex] and solving for a:
[tex]a=\frac{175sin42}{sin55}[/tex] so
a = 143.0
25 points ! :)
Can anyone solve this ? with explanation?
[tex]A brick of weight 20N and dimensions 20 cm x1Ocm x Scm is placed once on its largest surface area and then on its smallest surface area on the ground. Find out the ratio of the pressure exerted by the brick.}}[/tex]
Answer:
1 : 4
Step-by-step explanation:
[tex]Pressure = \frac{F}{A}[/tex]
[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 20}[/tex]
[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 5}[/tex]
[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex] [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]
Therefore ,
[tex]P_1 : P_2 = 1 : 4[/tex]
The dimensions of the brick are :
20 cm10 cm5 cmSolution :[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]
The largest surface area would be : -
[tex]➢ \: \: 20 \times 10[/tex]
[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]
(product of two greater sides)
pressure applied by greatest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.02} [/tex]
[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]
[tex]➢ \: \: 1000 \: \: pascals[/tex]
The smallest surface area would be : -
[tex]➢ \: \: 10 \times 5[/tex]
[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]
(product of two Smaller sides)
pressure applied by smallest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.005} [/tex]
[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]
[tex]➢ \: \: 4000 \: \: pascals[/tex]
Let's find the ratio :
[tex]➢ \: \: \dfrac{1000}{4000} [/tex]
[tex]➢ \: \: \dfrac{1}{4} [/tex]
[tex]➢ \: \: 1 : 4[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]