9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting
Answer:
$136
Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
Answer:
Isis 18 and her sister 26Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
(44 - 8) : 2 = 18
18 + 8 = 26
------------------------
check
23 + 18 = 44
the answer is good
[tex]-3\log_{3}\left(x-2\right)=-25[/tex]
Thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...........
[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]
Answer:
5226.33 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
I need some help with this
a line that is parallel to y=-3x+2 and contains the point (3,-3)
Answer:
y = -3x + 6
Step-by-step explanation:
Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.
-3 = -3(3) + b
-3 = -9 + b
6 = b
Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].
y = -3x + 6
Best of Luck!
A parallel line means our new line will have a slope equal to the original line.
The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3
By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.
Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)
Combining our point and slope, we get:
y + 4 = -3(x - 3)
If we wish, we can rearrange this by distributing on the right hand side.
y + 4 = -3x + 9
We can then subtract 4 from both sides to get our answer in slope-intercept form
y + 4 - 4 = -3x + 9 - 4
y = -3x + 5
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
the answer is y=−3/7x+5
Step-by-step explanation:
sorry if I did it wrong
What is the answer? Links will be reported. ( BRANLIEST )
Answer:
[tex] - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]
Step-by-step explanation:
[tex] \frac{7}{8} m + \frac{9}{10} - 2m - \frac{3}{5} \\ \frac{7}{8} m - 2m + \frac{9}{10} - \frac{3}{5} \\ \frac{7}{8} m - \frac{2m \times 8}{1 \times 8} + \frac{9}{10} - \frac{3 \times 2}{5 \times 2} \\ \frac{7m - 16m}{8} + \frac{9 - 6}{10} \\ - \frac{9}{8} m + \frac{3}{10} \\ - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.
This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
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Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)
Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Answer:
55mph
Step-by-step explanation:
average speed=330/6=55mph
How do you evaluate -98 - 13
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98
what is the slope of a line parallel to the line on the graph?
Answer:
3/4
Step-by-step explanation:
To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.
The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.
Josh bought seven boxes. A week later half of all his boxes were destroyed in a fire. There are now only 22 boxes left. With how many did he start? Please write an equation.
Answer:
Josh started out with 37 boxes.
Step-by-step explanation:
A textbook store sold a combined total of 288 history and psychology textbooks in a week. The number of history textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold
Answer:
x=96 and y=192
Step-by-step explanation:
x+y=288 and 2x=y
plug y in and solve for x
x+2x=288
3x=288
x=96
plug x back in and solve for y
2(96)=y
y=192
Taylor’s domain is and range is Thomas domain is and range is
Step-by-step explanation:
please send your teacher some nice greetings from me, as this problem description is very incomplete.
we have to guess and assume a few things.
I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).
and we are only looking at a single work day. and not a week or a year.
so,
x = Taylor(t)
y = Thomas(t)
remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.
and the range is the interval or set of valid values for the output variable (x and y).
so, the domain for Taylor is the interval of valid work time
[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.
Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)
[0, 8×6] or [0, 480/10] = [0, 48].
the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.
Thomas's range is then (2 per hour or 1 every 30 minutes)
[0, 10×2] or [0, 600/30] = [0, 20]
please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.
Domain defines the input interval and range defines the output interval.
Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.
Whatis domain and range ?Domain defines the input interval and range defines the output interval corresponding to the domain interval.
In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours
in 1/6 hours Taylor makes 1 hat
so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats
so in 8 hours Taylor will make (8 x 6) = 48 hats
Range of taylor = (0,48). .(as in 0 hour he will make 0
hats )
Domain of Thomas is 10 hours = (0,10)
Every pair of mittens take 30 minutes or 1/2 hour
so , In 1/2 hour Thomas makes 1 pair of mittens
In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.
In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.
The range of Thomas is (0,20). .(as in 0 hour he can make no
pair of mittens)
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I need to know what the exact and estimated sum is
Answer:
Exact: 55.899
Estimate: 56
Step-by-step explanation:
8.176 + 5.802 + 41.921 = 55.899
8.176 ~ 8
5.802 ~ 6
41.921 ~ 42
8 + 6 + 42 = 56
How many minutes is it before 12 noon if 68 minutes ago it was three times as many minutes past 10 a.m.?
The surface area of a piece of paper is 345 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2
Step-by-step explanation:
345cm²=34500mm²
:;
cm in mm(*10)
cm² in mm²(*100)
cm³ in mm²(*1000)
I'd appreciate the brainliest
This graph represents 2x+y=−4.
Which ordered pair is in the solution set of 2x+y≤−4?
Question 6 options:
(2, −2)
(−2, −2)
(2, 2)
(−2, 2)
Answer:
(-2, -2)
Step-by-step explanation:
as part of a campaign to promote it's annual clearance sale
Answer:
is this a question or not?
Step-by-step explanation:
HELPPPPPPPPPPPP PLEASEEEE
Answer:4
Step-by-step explanation:
Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?
What is the least five-digit even number with no repeated digits?
4) Sally has 10 purple beads, 25 yellow beads and 30 red beads. She is
going to make identical bracelets for her friends. What is the maximum
number of bracelets she can make if she wanted to use all her beads?
Answer:
5 bracelets
Step-by-step explanation:
The common factor of 10, 25 and 30 is 5
this means that each bracelet will have 2 purple, 5 yellow and 6 red.
Answer:
5 Bracelets
Step-by-step explanation:
the common factor of the numbers 10 25 and 30 is 5
5×2= 10
5× 5 = 25
5x6= 30
these numbers are also multiples of 5.
Find the indicated values by using the graph.
1. h(2)=_____
2. h(4)=_____
3. h(1)=_____
4. h(5)=_____
5. h(____)=4
6. h(____)=1
7. What are the values for h(____)=2?
QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer
Step-by-step explanation:
=3/0.05
=60ans.
mark me as a brainlist plz.
the answer is 60
You can solve it in calculator
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
The first choice
Step-by-step explanation:
h=-3
hope it helps
[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]
Answer:Option d. 3
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
solve pls brainliest
Answer: (a.) -19 (b.) 78
Step-by-step explanation:
(a.) -33+14= -19 (b.) 75 - x = 78
(b.) 75 to zero = 75 Zero to -3
is 3 points behind zero, this make more distance from 75 so…
(b.) 75+3 = 78
newton's second law of motion States that the acceleration of an object is directly proportional to the force exerted on the object. if an object accelerates at a rate of 3 m/s2 , it will exert a force of 15 N. how much force will the same object exert if it accelerates at a rate of 7 m/s2?
pls pls pls help (๑•﹏•)
Answer:
Step-by-step explanation:
F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N
The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
From the question,
We have that,
Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object
Let a represent the acceleration and F represent the force exerted
Them we can write that
F ∝ a
Introducing a constant, m, which is the mass of the object
Then, we get
F = ma
From the question,
If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N
We will the determine the mass, m, of the object using the above formula
F = ma
We have that
a = 3 m/s²
F = 15 N
Using
F = ma
Then,
15 = m × 3
m = 15÷3
∴ m = 5kg
Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²
Using the same formula
F = ma
a = 7 m/s²
m = 5 kg
∴ F = 5 × 7
F = 35 N
Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
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