Answer:
x = 2, -4
Step-by-step explanation:
4x^2 + 8x – 32 = 0
Divide by 4
x^2 + 2x – 8 = 0
Add 8 to each side
x^2 + 2x = 8
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2=1
Add it to each side
x^2+2x+1 = 8+1
(x+1)^2 = 9
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(9)
x+1 = ±3
Subtract 1 from each side
x = -1±3
x = -1+3, -1-3
x = 2, -4
Answer:
B
Step-by-step explanation:
Given
4x² + 8x - 32 = 0 ( divide through by 4 )
x² + 2x - 8 = 0 ( add 8 to both sides )
x² + 2x = 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 8 + 1
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = - 1 ± 3
Then
x = - 1 + 3 = 2
x = - 1 - 3 = - 4
WILL GIVE BRAINLEST!Two machines are printing shirts. The first machine can produce 2.400 shirts in 150 minutes. The second machine can produce 2.400 shirts in 120minutes. If the two work together, how long will it take them to produce 6,480 shirts? If necessary, round your answer to the nearest whole number.
Step-by-step explanation:
see the answer in attached picture
pls mark me as brainliest pls
Answer:
If two machine works together it takes 180 minute to complete 6480 shirts
Step-by-step explanation:
2400 ÷ 150 = 6
So here,
1st machine produces 20 shirts per minutes
let, x=minutes for shirt's production
Now,
(16+20)x=6480
36x=6480
x=6480/36
Therefor, x=180 minutes
(100 PTS!!) Match the following vocabulary
Answer:
Step-by-step explanation:
1. arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
HOPE THIS HELPS
Answer:arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
Step-by-step explanation:
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
1. Find(x) + g(x)
4 options to pick from
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.
A 3-column table with 8 rows. The first column is labeled day 1 lap times (seconds) with entries 83, 92, 91, 89, 94, 93, 88, 84. The second column is labeled day 2 lap times (seconds) with entries 87, 90, 92, 91, 92, 95, 90, 85. The third column is labeled day 3 lap times (seconds) with entries 85, 86, 91, 93, 91, 89, 88, 84.
Which histogram represents Blanca’s lap times for the three days of practice?
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Answer:
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Step-by-step explanation:
The given table is presented as follows;
[tex]\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}[/tex]The number of laps in the range 82 to 84 seconds = 1
The number of laps in the range 84 to 86 seconds = 4
The number of laps in the range 86 to 88 seconds = 2
The number of laps in the range 88 to 90 seconds = 4
The number of laps in the range 90 to 92 seconds = 6
The number of laps in the range 92 to 94 seconds = 5
The number of laps in the range 94 to 96 seconds = 2
The number of laps in the range 96 to 98 seconds = 0
Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Answer: A.
Step-by-step explanation: On Edge!
divide a sum of rs 1110 between A,B and C so that for every rs 8 given to A,B may get Rs 5 and for every Rs 7 given to B ,C may get rs 4
In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.
Sum of 1110 between A, B and C:
This means that:
[tex]A + B + C = 1110[/tex]
For every rs 8 given to A,B may get Rs 5
This means that:
[tex]\frac{A}{B} = \frac{8}{5}[/tex]
And thus:
[tex]5A = 8B[/tex]
[tex]A = \frac{8B}{5}[/tex]
For every Rs 7 given to B ,C may get rs 4
This means that:
[tex]\frac{B}{C} = \frac{7}{4}[/tex]
And thus:
[tex]7C = 4B[/tex]
[tex]C = \frac{4B}{7}[/tex]
Amount of B:
Replacing into the original equation:
[tex]A + B + C = 1110[/tex]
[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]
[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]
[tex]111B = 1110*35[/tex]
[tex]B = \frac{1110*35}{111}[/tex]
[tex]B = 350[/tex]
Amounts of A and C:
A and C are given as functions of B, so:
[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]
[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]
Thus:
The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.
For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:
1) Divide a sum of RS 1110 between A, B, C:
[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1
2) So that for every RS 8 give to A, B may get RS 5:
[tex]\frac{a}{b} = \frac{8}{5}[/tex]
[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2
3) And for every RS 7 given to B, C may get RS 4:
[tex]\frac{b}{c} = \frac{7}{4}[/tex]
[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3
Now we solve the resulting system, the solution set of the system is:
[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
Consider the reflection of parallelogram PQRS across the line of reflection wy
Answer:
Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5
Step-by-step explanation:
(
−
2
,
2
)
(−2,2) under a translation is
(
−
3
,
5
)
(−3,5). Find the coordinates of the image of the point
(
−
3
,
1
)
(−3,1) under the same translation.
Answer:
kslskd बोडलालामसूनिविवल
A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Find excess weight of his luggage. 2 . Express the excess weight as a percentage of his maximum weight allowed.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
LCM of two even number is 220, find their sum
Answer:
Two consecutive even terms and LCM = 180
Let’s assume the two terms:
1st term : 2x
2nd term : 2x + 2
There is a rule which states that
If ‘a’ and ‘b’ are two numbers, then their product is equal to the product of their LCM and HCF.
i.e,
a∗b=HCF∗LCM - (i)
We can logically say that the HCF of any two consecutive even numbers is always equal to ‘2’ provided that the smallest no. is at least ‘2’.
i.e.,
HCF of ‘2x’ and ‘2x + 2’ is ‘2’ - (ii)
Therefore,
from (i) and (ii),
2x∗(2x+2)= HCF * LCM
2x∗(2x+2)=2∗180
x∗(2x+2)=180
2x2+2x−180=0
Solving the quadratic equation we get,
x=9,−10 (we discard -10 since it is negative)
Therefore, the numbers are
2∗9=18 (1st no.)
2∗9+2=18+2=20 (2nd no.)
Answer : 18,20
Step-by-step explanation:
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
Qualitative manpower is the most valuable assets of an organization
Answer:
True
Step-by-step explanation:
Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.
Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.
In Business management, office resources are generally grouped into five (5) main categories and these include;
I. Communication.
II. Transportation.
III. Material and office supplies.
IV. Sources of income (finance).
V. Manpower (human resources).
Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.
Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.
This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.
order the equations by the steepness of the slopes of their graphs from greatest fj least.
can uh help me in this
Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
please solve this ASAP. I need this done but I can't figure it out
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can create an equation and solve for x.
(2x + 6) + (x - 9)= 180
~Combine like terms
3x - 3 = 180
~Add 3 to both sides
3x = 183
~Divide 3 to both sides
x = 61
Best of Luck!
Set up the appropriate trigonometric ratio to determine the value of the safety angle.
Step-by-step explanation:
sin/cos=tan theta.It is the value of the safety angle
— 12 — бр – (-2)
HELP ASAP
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
Answers:
Domain is (-4, 3]Range is (-5, 5]=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
Hello,
Step-by-step explanation:
Domain(f)= ]-4;3]={x€R | -4<x≤3}
Rang(f)=]-5;5]={y€R | -5< y ≤5}
How do you fine the answer ? Help me pls
Answer:
130
Step-by-step explanation:
Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median
Answer:
mean
Step-by-step explanation:
The mean is the center of a normal distribution
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Answer:
I assume that the function is:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
then:
[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]
Now we can graph this, to get the graph you can see below:
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
Please help me!!!!!
What are the answers
Answer:
y=3x
Step-by-step explanation:
The equation of the line is y=3x
If you rolled a die, what is the probability that you would roll a 3 or a 9? Give your answer as a simplified fraction.
P(3 or 9) =
Answer: P (3 or 9) = 1/6
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of 9 = 0
P (3 or 9) = Favorable / Total (refer to the attachment below)
P (3 or 9) = (1 + 0) / (6)
P (3 or 9) = 1 / 6
Hope this helps!! :)
Please let me know if you have any questions
Can somebody please help me?
Answer:
use Pisagor teorem
Step-by-step explanation:
The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)
use other triangle to find hipotenus 48²+36²=x² .... x= 60
