Answer:
1
Step-by-step explanation:
x - 5 = -2( x + 1 )
=> x - 5 = -2x - 2
=> x + 2x = 5 - 2
=> 3x = 3
∴ x = 1
MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?
Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
horizontal translation 5 unitss left
Answer:
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Step-by-step explanation:
First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.
Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.
Part I: Horizontal and Vertical Translations
First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:
Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.
The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:
Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.
Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.
Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Vertical Translations:
if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.
Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
Can someone help me with this?
Answer:
6 units i think but i dont u how u do it
Can somebody help me i've been stuck on this for awhile its because i dont get it
Answer:
15 students aren't wearing blue or white
Step-by-step explanation:
1/10 of 30 = 3
2/5 of 30 = 12
3 + 12 = 15
30 - 15 = 15
if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP
X/2-1/5=x/3+1/4
Plz I need fast
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
solve pls brainliest
The answer for a is +2.
The answer for b is +256.
helppppppppppppppppppppppppppppppppppppppppp
Answer:
if $15.98----> 2kg
$x --------> 7kg
cross multiply
$x= (15.98 x 7)/2
x = $55.93
cuanto es "y=2x + 5" ??
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000in the inequality 4> -4 which number appears farther right on a number line and why?
Answer:
4
Step-by-step explanation:
It is a positive number meanwhile -4 in negative.
A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?
0.2 hours
0.5 hours
1.125 hours
2 hours
Answer:
0.5 hours
$130 = 1h
$90 = 30m/1h
4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.
Answer:
The selling price of one striped lanyard
Check here LOADING... for instructional material to complete this problem.
Evaluate the formula z=
p−p
pq
n when p=
388
1386, n=1386, p=0.30, and q=1−p
Answer:
-1.63
Step-by-step explanation:
Plug in the values listed into the equation
([388/1386] - 0.30) / √(0.30[1-0.30)/1386
-0.02006/0.01231
-1.63
Draw a square and its diagonals. Guess the measures of these angles.
Answer:
Each angle measures 45° with diagonals
Step-by-step explanation:
What is the closed form definition for the sequence below?
4, -12, 36, -108,...
Note that 4 is considered the 1st term.
Answer:-108
Step-by-step explanation:
you need to put them in order from least to greatest 4, 36, -12, -108
i need help i can’t understand how to solve it so pls help
=====================================================
Work Shown:
1st term = -42nd term = -2*(1st term)+6 = -2*(-4)+6 = 143rd term = -2*(2nd term)+6 = -2*14+6 = -224th term = -2*(3rd term)+6 = -2*(-22)+6 = 50The first four terms are: -4, 14, -22, 50
The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.
HELP PLEASE DONT GIVE THE WRONG ANSWER
Answer:
120 minutes
Step-by-step explanation:
find the LCM
first find the GCF using prime factorization
15=3*5 12=2*2*3 10=2*5
GCF is 5 and 2 respectively
remove from each and multiply
3*2*2*2*5=120
helppppppp pleaseeeee
if somebody can answer this I'll really really appreciate it
Answer:
What is the question?
Step-by-step explanation:
re upload plz help!!!!!
Answer:
1) A) 64 tickets
B) $11
2) A) 20 rides
Step-by-step explanation:
1) a) set y to 37 because they made 37 dollars
37 = 0.50x + 5
32 = 0.50x.........subtract 5 from both sides
64 = x..................divide both sides by 0.50 to get x by itself
b) set x to 12 because x is the amount of ride tickets they bought
y = 0.50(12)+ 5
y = 6 + 5............multiply 12 by 0.50
y=11......................add
2) a) set both equations equal to each other to see when they will be equal
0.50x + 5 = 0.75x
0.50x = 0.75x - 5..........subtract 5 from both sides
0.50x - 0.75x = - 5........subtract 0.75x from both sides
-0.25x = - 5......................combine like terms
x=20...................................divide both sides by -0.25 to isolate x
the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
Answer:
We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps
cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
I need help pleaseeeeee
ok for the first one says
f(x)= 2 which is our Y, now we see when y is 2 our x = 1
f(x)=0 so when y= 0 , x = 2
f(1) = 2
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
10, 18, 26, 34, 42, ...
Write the simplified formula (expression) for the given Arithmetic Sequence
Answer:
[tex]10 + (n - 1) 8[/tex]
Step-by-step explanation:
All arithmetic sequence can be written as:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.
So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.
[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]
Now replace the knowns terms in the general form:
[tex]a_{n} = 10 + (n - 1)8[/tex]
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between any two consecutive terms in an arithmetic sequence is constant.
In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.
Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.
Therefore, the nth term of the sequence can be expressed as:
a + (n-1)d
where d is a common difference, which is 8 in this case.
So, the simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
where a is the first term of the sequence and n is the position of the term in the sequence.
Thus,
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
Learn more about arithmetic sequence here:
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help will give brainliest
Answer:
The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.
Simplify the expression.
x - 9 - 5x+7 - 2y
Answer:
add the like terms then look for a gcf to take out atleast for this one
so -9+7= -2
-5x + 1x = -4x
and -2y
we can take -2 out of all those
so our answer is -2(2x+y+1
A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?
Answer:
Below.
Step-by-step explanation:
1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.
In the same way there are 7 * 4 = 28 grapefruit.
Total pieces of fruit = 12 + 28
= 40.
A triangle has angles with the following measures: (x2 + 34)°, (6x + 4)°, and (10x + 10)°. Solve for x. show all work please
Answer:
[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840
Step-by-step explanation:
All the angles of a triangle add up to 180°, so we can solve this using the following equation:
180 = (x^2 + 34) + (6x + 4) + (10x + 10)
180 = x^2 + 34 + 6x + 4 + 10x + 10
Now, let's combine like terms:
180 = x^2 + (6x + 10x) + (34 + 4 + 10)
180 = x^2 + 16x + 54
Subtract 180 from both sides:
0 = x^2 + 16x - 126
And solve using the quadratic formula:
[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]
And we can approximate this as a decimal, if needed:
x = 5.7840
Name the congruent triangles.
Answer:
ΔOGD≅ ΔPRC
Step-by-step explanation:
Tarek can do a job in 4 hours. Aisha can do the same job in 6 hours. How many hours will it take the
two of them to do the job if they work together?
Answer:
it will take 10 hours
Step-by-step explanation:
6+4=10