Answer:
b.) intersection
Step-by-step explanation:
The given inequality can be rearranged so that you can see the solution space is one continuous interval.
__
It is described by the intersection of two inequalities.
|y -3| -4 ≤ -3 . . . . . . given
|y -3| ≤ 1 . . . . . . . . add 4
-1 ≤ y -3 ≤ 1 . . . . . "unfolded", the intersection of two inequalities
2 ≤ y ≤ 4 . . . . . . . add 3
This means 2 ≤ y and y ≤ 4, the intersection of the two inequalities.
_____
Additional comment
If the inequality were of the form ...
|y -3| ≥ 1
then it would "unfold" to ...
-1 ≥ y -3 or y -3 ≥ 1
and the solution intervals would be disjoint. The solution would be the union of the solution intervals of the individual inequalities.
Answer:
intersection is right
Step-by-step explanation:
What is the probability of drawing a king or a queen, given
that you have already drawn two kings and two queens and
have not replaced them?
(A) 12
1
(B) 26
(C) 13
2.
(D) 25
(E) 0.080
Answer:
D
Step-by-step explanation:
The total practice time for a football team is 4,380 hours. There are 73 players. How many hours does each player practice?
Each team-mate practices for 60 hours.
You know this because if you divide 4,380 (the total amount of hours) by 73 (the total amount of players) you get 60.
Help me on the bottom three please
Answer:
[tex]x=5,8,-8[/tex] respectively
Step-by-step explanation:
For Q.5, the two angles are supplementary, meaning they sum up to 180 so[tex](12x+19)+(22x-9)=180\\ 12x+22x+19-9=180\\ 34x+10-(10)=180-(10)\\ 34x=170\\ x=5[/tex] For Q.6, the two angles are alternate exterior angles, meaning they are equal so[tex]10x-20=7x+4\\10x-(7x)-20+(20)=7x-(7x)+4+(20)\\3x=24\\x=8[/tex] For Q.7, two angles are consecutive interior angles, meaning they sum up to 180 so[tex](-4x+5)+(-13x+39)=180\\-4x-13x+5+39=180\\-17x+44-(44)=180-(44)\\-17x=136\\x=-8[/tex]Consider these functions: f(x)=x+1, g(x)=2/x
Which polynomial is equivalent to (fog)(x)?
A.2/x+1
B.2x+2/x
C.2/x +1
D.2/x^2+x
Answer:
A.2/x+1 ............
The composite function f(g(x)) is 2/x + 1
Given the function
f(x)=x+1g(x)=2/xWe are to get the composite function (fog)(x)
This can be written as:
f(g(x)) = f(2/x)
f(2/x)= 2/x + 1
Hence the composite function f(g(x)) is 2/x + 1
Learn more on composite function here: https://brainly.com/question/10687170
A force of 52 N acts upon a 4 kg block sitting on the ground. Calculate the acceleration of the object.
The acceleration of the block is 13 m/sec².
What is Acceleration?Acceleration is defined as the rate of change of velocity with respect to time, It is a vector quantity with units of m/sec².
Force = 52 N
Mass of the block = 4kg
Acceleration =?
The formula for the force applied to any object is given by
F = mass * Acceleration
Substituting the values
52 = 4 * Acceleration
Acceleration = 52 / 4 = 13 m/sec².
Therefore, The acceleration of the block is 13 m/sec².
To know more about Acceleration
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Does anybody like/play Slime Rancher
Answer:
yes but y do u ask?
Step-by-step explanation:
Solve the quadratic by using the quadratic formula
X2-8x+17=0
Help with #8 please!
Answer:
8. The length of the longest side is 40 ⇒ H
Step-by-step explanation:
8. In the given figure
∵ The triangle has two equal sides 2x + 12 and 5x - 9
→ Equate their expressions to find the value of x
∴ 5x - 9 = 2x + 12
→ Add 9 to both sides
∵ 5x - 9 + 9 = 2x + 12 + 9
∴ 5x = 2x + 21
→ Subtract 2x from both sides
∵ 5x - 2x = 2x - 2x + 21
∴ 3x = 21
→ Divide both sides by 3 to find x
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{21}{3}[/tex]
∴ x = 7
∵ The longest side is 6x - 2
→ Substitute the value of x in its expression to find its length
∴ The longest side = 6(7) - 2 = 42 - 2
∴ The longest side = 40
∴ The length of the longest side is 40
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.
A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, 6. The second column is labeled Exercise Intensity with entries 60%, 60%, 60%, ?, ?, ?.
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Answer:
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
Step-by-step explanation:
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifthe and sixth visit itll be an increasing sensitivity
Anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
We have given that,
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.
A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, and 6.
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
What is the intensity?The intensity or flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the energy's propagation direction.
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
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what is the area of the rectangle
Answer:
54
Step-by-step explanation:
Width times height equals area so 9x6=54
-3.8+5+2.7g=12 i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed help
We first of all have to simplify this expression to be 2.7g+1.2=12 then subtract 1.2 to both sides and that = to 10.8 and then divide both sides by 2.7 and you will get 4 so,
G=4
Which is one characteristic of hurricanes?
occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land
9514 1404 393
Answer:
create widespread damage
Step-by-step explanation:
Hurricanes are tropical storms that generally develop over the Atlantic ocean. The ones of concern in the US are the ones that follow a westward path. They generally gain strength over water, and dissipate over land. They can last several days, though their movement generally means the worst impact in a given area lasts only a matter of hours. (Clean-up may take months or years.)
Hurricanes are one of the largest of storm systems, so can cause widespread damage.
Answer:
b
Step-by-step explanation:
the x- and Y negative coordinates have the same sign
Answer:
if the x and y coordinates that mean that number is the solution to whatever the question is.
Step-by-step explanation:
Please answer this question please :)
Answer:
B
Step-by-step explanation:
A linear equation has the highest degree of 1.
In other words, there is only one x, and this x is to the first power.
Graphically, linear equations are lines.
Hence, the correct answer is B.
A is incorrect because it is the reciprocal of x, which is a rational function.
C and D are incorrect because the highest degree is 2, making them quadratics.
Answer:
B)
Step-by-step explanation:
A) Rational
B) Linear Equations
C) Quadratic Equations
D) Quadratic Equations
=== Terima Kasih ===
Write the linear equation, in standard form, of a line that passes through the points (1, 2) and (-3, -4).
Answer:
y=3/2x+1/2
Step-by-step explanation:
Answer:
-3x + 2y = 1Step-by-step explanation:
Standard form of linear equation:
Ax + By = CUsing the given points, we find the slope and y-intercept, in slope-intercept form of y = mx + b
m = (-4- 2)/(-3 - 1) = -6/-4 = 3/23/2*1 + b = 2b = 2 - 3/2 = 1/2y = 3/2x + 1/2Converting to standard form
y = 3/2x + 1/22y = 3x + 1-3x + 2y = 1What is the y-value to the solution of y = 5x -4 and y = 2x + 8
Answer:
At the bottom!
Step-by-step explanation:
Put the two equations into the same standard form:
2x-y=8
-5x+2y=3
Now if you add the two equations up, guess what will happen?
You will "eliminate" the y variable, and only be left with the x variable.
Technically, you will get:
2x-y+2+28-5x+29+2y=8+23
-3x+20y=11
-3x=11
2x^2-5x-10=4x-5 solve algebraically
Answer:
by factoring the answer is - x=1/2, 5
Step-by-step explanation:
hope it helps:))
Answer:
x=-½
x=5
Step-by-step explanation:
2x²-5x-10=4x-5
2x²-5x-10-4x+5=0
2x²-9x-5=0
2x²+x-10x-5=0
x(2x+1)-5(2x+1)=0
(2x+1)(x-5)=0
2x+1=0
2x=-1
x=-1/2
x-5=0
x=5
A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the trout have to jump in order to catch the insect?
Answer:
The Trout will have to jump 49 cm in order to catch the insect
Step-by-step explanation:
Here, we want to calculate the distance the Trout has to jump in order to catch the Insect
To calculate this, we need to know the difference in the distances
From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake
The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;
17 + 32 = 49 cm
Learning Task
It took Althea 40 minutes
to walk 27mile to her
Int's apartment after
hool because she
Srgot her keys and
noone was home yet.
Nhat was her speed in
miles per hour?
Answer:
40.3miles/hr
Step-by-step explanation:
Given parameters:
Time taken = 40min
Distance covered = 27mile
Unknown:
Speed in miles per hour = ?
Solution:
Speed is the distance divided by the time;
Speed = [tex]\frac{distance }{time}[/tex]
convert the time to hrs;
60min = 1hr
40min = [tex]\frac{40}{60}[/tex] = 0.67hr
Insert the parameters and solve;
Speed = [tex]\frac{27}{0.67}[/tex] = 40.3miles/hr
you want new picture frames that cost $12 each shipping is a $8 per order if you buy 15 frames what is the cost of the oder
Answer:
it would be $300 because it is $12 per frame so u would multiply 12*15 and get 180 then with $8 shipping u multiply 8*15 and get $120 then add 120+180 to get $300
Step-by-step explanation:
hope this helped:)
what is the length of the missing leg?
Answer:
it's 5
Step-by-step explanation:
you should use pythagoras theorem
Answer:
b = 5
Step-by-step explanation:
a^2 + 12^2 = 13^2
a^2 + 144 = 169
-144 -144
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{25}[/tex]
a = 5
[tex]a^2 + b^2 = c^2[/tex] pythagoream theory
Which number line best shows how to solve -8 - (-6)? (5 points)
Question 3 options:
1)
2)
3)
4)
Question 4 (5 points)
Answer:
its 3 solve -6
Step-by-step explanation:
Answer:
Where are the pictures
Step-by-step explanation:
I'm so confused on all of this
Answer:
Your answer is B 5/7
Step-by-step explanation:
Answer:
5/7Step-by-step explanation:
It is 5/7 because, the line is intercepting at the points, (5,7)
therefore, the points are now made into a fraction, which is:
5 over 7 or 5/7Hope this helps! <3
ABC = EDC, AB = 7, A = 40° E=
Answer:
40°Step-by-step explanation:
since ΔABC is ≅ to ΔEDC
where ∠A = 40°
∠E = 40° because ∠A ≅ ∠E
Solve for b in the mathematical formula A =
1
2
bh.
Answer:
[tex] \rm b = \dfrac{2A }{h} [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: b: \\ \rm \longrightarrow A = \dfrac{1}{2} bh \\ \\ \rm A = \dfrac{bh}{2} \: is \: equivalen t \: to \: \dfrac{bh}{2} = A: \\ \rm \longrightarrow \dfrac{bh}{2} = A \\ \\ \rm Divide \: both \: sides \: by \: \dfrac{h}{2} : \\
\rm \longrightarrow \dfrac{bh}{2} \div \dfrac{h}{2} = A \div \dfrac{h}{2} \\ \\ \rm \longrightarrow \dfrac{bh}{2} \times \dfrac{2}{h} = A \times \frac{2}{h} \\ \\ \rm \dfrac{bh}{2} \times \dfrac{2}{h} = b : \\ \rm \longrightarrow b = \dfrac{2A }{h}[/tex]
Answer:
b in terms of A and h will be:
[tex] \boxed{ \rm{b = \frac{2A}{h} }}[/tex]
Step-by-step explanation:
This is basically the formula for finding the area(A) of the triangle in terms of b and h. We have to solve for b in terms of A and h.
[tex] \rm{A = \dfrac{1}{2} bh}[/tex]
Multiplying 2 in the LHS. This is shift because inverse of division is multiplication.
[tex] \rm{2A = bh}[/tex]
Dividing h from both sides,
[tex] \rm{b = \dfrac{2A}{h} }[/tex]
And we are done! :D
What is the value of x in the equation below?
6(x-3) = 72
12
15
20
24
Answer:B
Step-by-step explanation:
Which is greater? 670.9 or 670.008
Answer:
670.9
Step-by-step explanation:
because 670.9 is bigger and 670.008 has more 0's and 0's aren't greater
•PLZ answer quickly!!•
-Will give brainliest
Find the inequality represented by the graph
Answer:
1/2x<=y
Step-by-step explanation:
you find the equation first
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5
due today, pleaseee helppp