Answer:
Step-by-step explanation:
Simplifying
(2x + -3)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(-4 + x) = 0
Multiply (-3 + 2x) * (-4 + x)
(-3(-4 + x) + 2x * (-4 + x)) = 0
((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0
((12 + -3x) + 2x * (-4 + x)) = 0
(12 + -3x + (-4 * 2x + x * 2x)) = 0
(12 + -3x + (-8x + 2x2)) = 0
Combine like terms: -3x + -8x = -11x
(12 + -11x + 2x2) = 0
Solving
12 + -11x + 2x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -2x)(4 + -1x) = 0
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:
Simplifying
3 + -2x = 0
Solving
3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3
Combine like terms: 0 + -3 = -3
-2x = -3
Divide each side by '-2'.
x = 1.5
Simplifying
x = 1.5
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Solution
x = {1.5, 4}
Answer:
[tex]2x^2+5x-12=0[/tex]
Step-by-step explanation:
Algebra
To expand the given equation
[tex](2x-3)(x+4)=0[/tex]
we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:
[tex]2x^2+8x-3x-12=0[/tex]
Rearranging and simplifying:
[tex]\mathbf{2x^2+5x-12=0}[/tex]
If a= 11, solve for b and c (will give Brainliest ❤️)
Answer:
a = 11
b = 11
c = 11√2
It is an equilateral triangle, because to angles are equal (45°).
[tex] |a| = |b| = 11 \\ |c^{2} | = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {11}^{2} + {11}^{2} } \\ c = 11 \sqrt{2} [/tex]
(5f − 3) (–2)
help me plz lolz
Answer:
Step-by-step explanation:
(5f-3)(-2)
-10f + 6 = 0
f= 6 + 10
f = 16
I WILL GIVE BRAINLEST IF YOU HELP ME PLEASE
Subtract (2x - 2y) from the sum of (10x - 2y) and (-3y)
Subtract (2x - 2y) from the sum of (10x - 2y) and (-3y) is 8x -3y.
What is subtraction?Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.
The sum of (10x - 2y) and (-3y).
(10x - 2y) + (-3y),
= 10x -2y -3y
= 10x -5y
Subtract (2x - 2y) from the sum of (10x - 2y) and (-3y),
= 10x -5y - (2x - 2y)
= 8x -3y
Therefore, the expression is 8x -3y.
To learn more about the subtraction;
https://brainly.com/question/2346316
#SPJ2
This is due today please help will give brainliest
Answer:
The answer for the given expression is 23 after putting the values of a,b and c.
Step-by-step explanation:
Given expression is:
[tex](\frac{2c}{a})^2-10*\frac{(b+a)}{c}[/tex]
We have to find the value of expression, when
a = -2, b = 3 and c = 5
We will put these values in the given expression and then simplify the given expression,
[tex](\frac{2*5}{-2})^2-10*\frac{3+(-2)}{5}\\\\(\frac{10}{-2})^2-10*\frac{3-2}{5}\\\\(-5)^2-10*\frac{1}{5}\\25-2\\23[/tex]
Hence,
The answer for the given expression is 23 after putting the values of a,b and c.
Work out the equation of a line which has a gradient of 1/2 and passes through the point 4,-2? Pls answer i dont know
Answer:
y-y1=m (x- x1)…………..(1)
Here m=1/2 and (x1,y1)= (4,-2)
(1) => y-4=1/2(x+2)
=> 2y-8=x+2
=> x-2y-10=0
So, equation of line is x-2y-10=0.
HELP SND U WILL GET BRAINLISTED
for brainliest
Answer:
h=(3v)/(pi r^2)
Step-by-step explanation:
you simply have to move everything to one side.
Answer:
h = [tex]\frac{3V}{\pi r^2}[/tex]
Step-by-step explanation:
Given
V = [tex]\frac{1}{3}[/tex]πr²h ( multiply both sides by 3 to clear the fraction )
3V = πr²h ( isolate h by dividing both sides by πr² )
[tex]\frac{3V}{\pi r^2}[/tex] = h
PLZ HELP ME I AM TIMED HELP PLZ
Answer:
c
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
what is y=6x^2 +96x +388 in vertex form?
please show work
Answer:
y = 6(x + 8)² + 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
y = 6x² + 96x + 388
The coefficient of the x² term must be 1, so
factor out 6 from 6x² + 96x
y = 6(x² + 16x ) + 388
To complete the square
add/subtract (half the coefficient of the x- term)² to x² + 16x
y = 6(x² + 2(8)x + 64 - 64) + 388
= 6(x + 8)² - 384 + 388
y = 6(x + 8)² + 4 ← in vertex form
Carter works at a company where he earns 12.5% commission on his total sales. What is Carter’s commission if his total sales are $1,250?
URGENT!!!
A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
Answer:
Total cost to conduct survey = $2075
Step-by-step explanation:
Given that:
Number of questions on survey = 15
Number of people = 500
Base fee = $1000
Per question charge = $5
Per person surveyed = $2
Let,
q be the number of questions
p be the number of people
Total cost = Base fee + 5q + 2p
Total cost = 1000 + 5(15) + 2(500)
Total cost = 1000 + 75 + 1000
Total cost = $2075
Hence,
Total cost to conduct survey = $2075
Find the area of each figure. Use 3.14 for pi.
so you know the how to find the area for a saquare A=a*b first we have to find the area for a circle 10*10=100 A=100cm (2) is the area for our circle
so we have half of the circle so formula for that is A=(πr(2))/2 we know the radius is 5 A=3.14*25/2
A=78.5/2 reason why we are dividing by this number to 2 because we have half of the circle A=39.25 then add two areas together A=100+39.25=....
Which is a composite number 42,29,21,37
Answer:
42 and 21 are composite numbers
what is 1/2x + 8 < -4 ?
Answer:
-1/24 < x < 0
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,-5) and ( – 7,7).
Answer-
√(-1 - -7) 2 + (-5 - 7) 2
Step-by-step explanation:
This would be the equation if i am not mistaken. Hope it helps, have a great day!
Need help ASAP fine the value of x. Round to the nearest tenth x=
Answer:
x = 13.5
Step-by-step explanation:
To find x, we use the sine rule
For the sine rule,
the ratio of the sides to the sine of the angle facing the side is equal for all the sides of the triangle
Thus,
x/sin 34 = 11/ sin 27
x = 11 sin 34/sin 27
x = 13.5
I need the answers for both a and b so thats why 61 points are up for grab
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Which statement is true?
Answer:
B I think
Step-by-step explanation:
if you got a 23/25 on a quiz, what is your grade? How do you determine that?
Answer:
well 25x4=100 so multiply 23 by 4 and that would be 92 so you would have an A or 92%
Find the value of X (please answer i need alot of help)
What is 271403 rounded to the nearest thousand
Answer:
271000
Step-by-step explanation:
Answer: 300,000
Step-by-step explanation:
The question is in the picture
- I could really use some help !! Thank you so much !!
Answer:
Could you retake the photo plz so i can see the full question and answer choices
Step-by-step explanation:
i will brainliest you please help with last question:) :(
Answer:
663 and 366 are both right
Step-by-step explanation:
The perimeter of a rectangular plot of land
is 46.4m. If the width of the plot is 7.4m.
what is its length?
A. 15.8m
B. 8.8m
C. 13.6m
D. 9.2 m
Answer:
A. 15.8
Step-by-step explanation:
First the perimeter of a rectangle = 2 (L +W)
So; 46.4 = 2(L + 7.4)
46.4 = 2L + 14.8
2L = 46.4 - 14.8
2L = 31.6
L =15.8
Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:
a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils
Answer:
0.82
Step-by-step explanation:
I literally took the test
Question 6
Which is the graph of y= 2x-3?
Answer:
Graph A
Step-by-step explanation:
The line is going to pass through -3 as the y intercept then you go over 4 blocks and up 3 of x
Answer:
Graph A
Step-by-step explanation:
If you take a pair of x,y coordinates from each graph and input it into the equation (y=3/4x-3), only Graph A makes the equation true.
HELP!! What is the exact value of Tangent (pi/12)
A. StartFraction 1 Over 2 + StartRoot 3 EndRoot EndFraction
B. StartFraction 1 Over StartRoot 3 EndRoot EndFraction
C. StartFraction 3 Over StartRoot 3 EndRoot EndFraction
D. StartFraction 1 Over 2 minus StartRoot 3 EndRoot EndFraction
Answer:
2 - sqrt(3)
Step-by-step explanation:
Split pi/12 into two angles where the values of the six trigonometric functions are known.
tan (pi/4 - pi/6)
Apply the difference of angles identity
[tex]\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}[/tex]
tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3
Plug in and Simplify
[tex]\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }[/tex]
[tex]\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3+\sqrt{3}}[/tex] Need to multiply this by [tex]\frac{3+\sqrt{3} }{3+\sqrt{3} }[/tex]
Expand and simplify numerator: [tex]\frac{6}{(3+\sqrt{3} )^{2} }[/tex]
Expand and simplify denominator: [tex]\frac{6}{12+6\sqrt{3}}[/tex]
Cancel the common factor: [tex]\frac{1}{2+\sqrt{3}}[/tex]
Answer:
D: 1/2 - √3.
Step-by-step explanation:
The Unit Circle is a circle with radius 1 that is used to determine the value of sine and cosine of any angle.
But that table do not directly give the exact value so to solve for its exact value, express π/12 as a sum or difference of two angles where the values of the six trigonometric functions are known.
tan π/12 = tangent (π/4 - π/6)
Using the the difference of angles identity we get,
tan (π/4 - π/6) = (1 - √3 / 3) / (1 + 1 x √3 / 3)
Multiply by 3,
tan (π/4 - π/6) = (3 - √3) / (3 + √3)
Multiply by 3 - √3
tangent (π/4 - π/6) = (3 - √3)(3 - √3) / (3 - √3)(3 + √3)
FOIL and simplify.
tangent (π/4 - π/6) = 9 - 6√3 + 3 / 9 -3
tangent (π/4 - π/6) = 1/2 - √3
Berry Delicious is a popular shop that sells chocolate-covered strawberries. Last year, the shop used 9,200 kilograms of strawberries to make its treats. This year, the shop used 7,739.4 kilograms. What is the percent of decrease in the amount of strawberries used annually?
Answer:
15.9%
Step-by-step explanation:
Percent decrease formula =
(Initial value - New value/Initial value) × 100
Initial value = 9200kg
New value = 7739.4kg
Percent decrease = (9200 - 7739.4/9200) × 100
Percent decrease = (1460.6/9200) × 100
Percent decrease = 15.8760869565%
Approximately = 15.9%
The percent of decrease in the amount of strawberries used annually is 15.9%
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $233.70
Markdown: 76%
The sale price is $
Answer:
$56.09
Step-by-step explanation:
76% of $233.70 is $177.61
$233.70 - $177.61 = $56.09
What is element b31 for the question help
Answer:
the answer is A =3 ... this is the correct answer
Rico bicycles at an average speed of 15.5 miles per hour. What distance will Rico bicycle in 4.5 hours? Rico will bicycle ________ miles in 4.5 hours.
Answer:
69.75 miles
Step-by-step explanation:
15.5 miles = 1 hour
x miles = 4.5 hours
Cross product
15.5 * 4.5 = 1 * x
69.75 = x
x = 69.75 miles
Rico will bicycle 69.75 miles in 4.5 hours