Answer:
factor by group the answer will be (2x+3)(x+8)
Step-by-step explanation:
Mark as Brainliest!!!Hope this Helps:)
HELP ME, PLEASE.
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
True or False: These two equations are equivalent
5x + 18 = 32
18 = 80
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
HELP pleaseee i’m beggingggg
Answer:
35 1/3°54 2/3°Step-by-step explanation:
Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;
(x + 8) + 2x = 90
~Remove parenthesis
x + 8 + 2x = 90
~Combine like terms
3x + 8 = 90
~Subtract 8 to both sides
3x = 82
~Divide 3 to both sides
x = 82/3 or x = 27 1/3
Use what have for x to solve for the angle measures.
Angle AOB:
x + 8
(27 1/3) + 8
35 1/3°
Angle BOC:
2x
2(27 1/3)
54 2/3°
Check.
35 1/3 + 54 2/3 = 90°
Best of Luck!
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
for the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?
Answer:
2. -8 < x < -2
Step-by-step explanation:
The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.
From the graph, at x = -8, y = -2. When x = -2, y = -5.
Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.
Therefore, the answer is: 2. -8 < x < -2
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. Write an inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags.
Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P ≤ 95
Step-by-step explanation:
Given: The cost of the party bag is $7 per person.
P represents the number of people that she can invite.
Total cost for P people = ( cost per person) x (P)
=$ 7P (i)
If Janelle has No more than $95 dollars to spend on the party bags.
That means , Total cost ≤ $ 95
From (i)
7P ≤ 95 , which is the required inequality.
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
Which Is The Correct Classification And Decimal Expansion of 3/8
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
Evaluate each expression.
2(5) + 3(4+ 3) =
Answer:
Step-by-step explanation:
10 + 3(7)
10 + 21
= 31
Answer:
31
Step-by-step explanation:
You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.
B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction2(5) + 3(4+3)
= 10 + 3(7)
= 10 + 21
=31
Witch expressions is equivalent to 5(9+7)
Answer:
80
Step-by-step explanation:
cause I'm right and um a smart person
Answer:
80 cuz u gotta love pemdas
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Hey!
so for the first one its 60°, and for the second one its 1/6
I need help with this is anyone
Answer:
-w+41
Step-by-step explanation:
5(w+4)-3(2w-7)
5w+20-6w+21
-w+41
Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags.
(proportions with units)
Answer:
26 minutes and 40 seconds
Step-by-step explanation:
It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes
Answer:
Step-by-step explanation:
Average = Questions / Time
Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5
None of the answers are the same as mine. I'm pretty sure min is correct. Ask your instructor what you should answer.
best get brainly !!.!.!!:
Answer:96
Step-by-step explanation:
Answer:
the answer is 97
Step-by-step explanation:
-12.4 + 9.2 =
show work
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to line them up by the decimal points...
-12.4
+ 9.2
-3.2
That's all after you solved it you get -3.2
me pueden ayudar es urgente!!!!
es de monomios
Answer:
Step-by-step explanation:
4.2) 2z² - 3z² = -z²
8x - x = 7x
4.3) 3x² - 4x² = (3 -4)x² = -x²
4z² - 3z² = (4- 3)z² = z²
z² - 2z² = (1 - 2)z² = -z²
3x - x = 2x
Cannot be subtracted.
3y² - 3y² = 0
4.3) 2xy - x y = xy
x²y² - 4x²y² = -3x²y²
x - y = /
2x²y² - 6x²y² = -4x²y²
4xy - 2xy = 2xy
4.4) 5xy - xy = 4xy
x²y² - 3x²y² = -2x²y²
3x³y - 2yx³ = x³y
Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)
Answer:
The new coordinate of B' will be ( -1, 6)
The translated coordinate of the point B' will be (-1,6).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,
B = ( 3, 0 )
Translated 4 units down and 6 units right,
B' = ( 3 - 4 , 0 + 6 )
B' = ( -1, 6 )
To know more about translation follow
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What is the measure of angle B?
A. 35°
B. 55°
C. 125°
D. 65°
Answer:
B.
Step-by-step explanation:
B.55
What is the value of p in the equation shown?
3
p =-0.027
Answer:
According to the question,
3p=-0.027
By transposing '3' to the RHS, we get
p=0.027/3
= p=-0.009
So in this question p=-0.009
The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
please help me, i don't understand this at all :(
Given f(x) = -x + 3, solve for x when f(x) = 4.
Answer:
x=-1
Step-by-step explanation:
f(x)=f(x)
-x+3=4
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
[tex]N=\frac{M*C}{R}[/tex]
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
[tex]N=\frac{55*300}{30}[/tex]
[tex]N=\frac{16500}{30}[/tex]
N = 550
The best estimate for the robin population is 550.
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes. Who is faster? Remember to support your answer with a mathematical statement!
Answer: Kristy
Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.