Answer:
-x² + 2x - 3
Step-by-step explanation:
Simply combine like terms together.
x² terms are added together
x terms are added together
Constants are added together
Answer: -x^2 + 2x - 3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
x^2 - 2x^2 - 3x + 5x - 3
x^2 - 2x^2 = -x^2
-3 + 5x = 2x
Please answer the questions with full working and explantation.
Thank you .
1/(x+5)=1/(4x-7)
Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{1}{x+5}[/tex] = [tex]\frac{1}{4x-7}[/tex] ( cross- multiply )
4x - 7 = x + 5 ( subtract x from both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Find the equation of the line that passes through (1,3) and is perpendicular to y=2x −1. Leave your answer in the form y= mx + c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
Step 1: Find slope
Take the negative reciprocal of the given equation
m = -1/2
y = -1/2x + b
Step 2: Find b
3 = -1/2(1) + b
3 = -1/2 + b
b = 7/2
Step 3: Rewrite perpendicular linear equation
y = -1/2x + 7/2
A blue plane, a red plane and a white plane are waiting to take off from an airport that has two runways. Planes must take off from the airport one at a time, but can take off from either runway. In how many ways can the three takeoffs be scheduled? (One such way is the blue plane on runway A, followed by the red plane on runway B, followed by the white plane on runway B.)
Answer: in 48 ways.
Step-by-step explanation:
So we have 3 takeoffs.
3 planes, and 2 runways
For the first takeoff, we have 3 options to choose (red plane, blue plane and white plane) And for the runway, we have 2 options (A or B)
So we have 3*2 = 6 options
For the second takeoff, we have 2 options to choose (because one of the planes was already selected before) and we still have 2 options for the runway.
So we have 2*2 = 4 options
For the third takeoff, we have 1 plane to choose from, and for the runway, we have 2 options.
So we have 1*2 = 2 options
The total number of combinations is equal to the product of the number of options in each selection:
C = 6*4*2 = 48 combinations
Which number is represented by point E on the graph? A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4. 3 and one-half Negative 0.25 Negative 1.75 Negative 2 and one-half
Answer:
-0.25
Step-by-step explanation:
Since point E lies between -1 and 0, a negative number with a magnitude less than 1 is needed. From the given list, that number is ...
-0.25
_____
The mapping of choices to points is ...
3.5 - A
-0.25 - E
-1.75 - B
-2.5 - D
Answer:
0.25
Step-by-step explanation:
A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the total area?
The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
find the projection of v on to w if v = ⟨-5,-2⟩ and w = ⟨1,-1⟩
Answer:
Step-by-step explanation:
[tex]\frac{\vec v \bullet \vec w}{||\vec w||}\bullet \vec w[/tex]
[tex]\vec v \bullet \vec w = <-5, -2>\bullet <1,-1>= -5+2 = -3[/tex]
[tex]||\vec w ||=\sqrt{2}[/tex]
Hence, the result will be
[tex]\frac{-3\sqrt{2} }{2} <1,-1>[/tex]
you can put the scalar in to get
[tex]<-\frac{3\sqrt{2 }}{2} , \frac{3\sqrt{2} }{2} >[/tex]
Will give high vote and brainliest!! Just make sure to put the CORRECT answer <3 (the one i clicked is wrong)
Answer:
1.2x10^13
Step-by-step explanation:
Trillion=1x10^12
12 trillion=12x10^12
12 trillion=1.2x10^13
Divide a24 − a18 + a12 by a6. What is the quotient? A. a4 − a3 + a2 B. a18 − a12 + a6 C. a18 + a12 − a6 D. a30 − a24 + a18
Answer:
A
Step-by-step explanation:
What is the value of 4(-1+2-3+4-5+6-7+......+1000)???
Answer:
4(-1+2-3+4-5+6-7+......+1000) = 2000Step-by-step explanation:
-1+2 = 1
-3+4 = 1
-5+6 = 1
and so on till -999+1000 = 1
1 .... 1000 - these are 1000 numbers, so
1000:2 = 500 pairs with sum equal 1
4(500•1) = 4•500 = 2000
An incomplete distribution is given below:Variable You are given that the median value is 70 and the total number of items is 200. Using the median formula fill up the frequencies.
Answer:
The missing frequencies are x = 8 and y = 43.
Step-by-step explanation:
Median Value =70
Then the median Class =60-80
Let the missing frequencies be x and y.
Given: Total Frequncy = 200 , Median = 46
[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]
From the table
[tex]\sum f_i =149+x+y[/tex]
Here, n = 200
n/2 = 100
Lower Class Boundary of the median class, l=60
Frequency of the median class(f) =66
Cumulative Frequency before the median class, f=42+x
Class Width, h=10
[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]
[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]
200=149+x+y
200=149+8+y
y=200-(149+8)
y=43
Hence, the missing frequencies are x = 8 and y = 43.
PLEASE ANSWER, HURRRRRYYY!!!
Answer:
D
Step-by-step explanation:
Recall that:
[tex]\displaystyle \cos\theta = \frac{1}{\sec\theta}[/tex]
Since we are given that secθ = -7.3, then by definition:
[tex]\displaystyle \cos\theta = \frac{1}{(-7.3)}\approx -0.14[/tex]
Next, recall that:
[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = \cos\theta[/tex]
This is the co-function identity.
And since sine is an odd function:
[tex]\sin u = -\sin (-u)[/tex]
In other words:
[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = -\sin\left(\theta - \frac{\pi}{2}\right)= \cos\theta[/tex]
Therefore:
[tex]\displaystyle \sin\left(\theta - \frac{\pi}{2}\right) = -\cos\theta = -(-0.14) = 0.14[/tex]
Hence, our answer is D.
A man walks east for 4 miles Then south for 3 miles Then west for 2 miles Then north for 1 mile Then west for 2 miles In which direction and for how far should he walk to return to his starting point?
Answer:
Walk north 2 miles
Step-by-step explanation:
The man needs to walk two miles in the north to reach the starting point.
What are the directions?The direction is the four cardinal directions, these four direction points in four different directions, therefore, in east, west, north, and south.
The man will be 2 miles away from the starting point and will be the south of the starting point. Hence, the man needs to walk two miles in the north to reach the starting point.
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SWAN85 help please please
Answer:
first y=|x+6|
y=2x+7,y=2x-7 parallel lines
Step-by-step explanation:
first y=|x+6|
y=2x+7,y=2x-7 parallel lines
Priscilla's brother Jack has invited some friends to dinner, so Priscilla needs to make
twice as much fruit salad. If she uses twice the quantities of fruit given in the recipe,
how many parts of apple will she have to use?
Answer:
since there is actually no given number of apples it would be twice as many apples she would have used in a regular fruit salad
Find all of the missing angle measures. Remember you cannot assume right angles or diameters. Also think about how many degrees are in a triangle. Angle 1: Angle 2: Angle 3: Angle 4: Angle 5: Angle 6: Angle 7: Angle 8: Angle 9: Angle 10: Angle 11: Angle 12: Angle 13: Angle 14: Angle 15:
Answer:
See text below or attached figure
Step-by-step explanation:
Given arcs
AC=70
CR=18
therefore AR = 88
RB=80
BE=130
therefor EA = 360-(70+18+80+130) = 360-298 = 62
angles will be denoted (1) for angle 1, etc.
We ASSUME
ARD is a straight line
PFRB is a straight line
FCE is a straight line
Using inscribed angle theorem, angles subtended by chords/arcs equal to half the arc central angle.
Therefore
(4)=80/2=40
(13)=130/2=65
(12)=62/2=31
(11)=70/2=35
(5) = (70+18)/2 = 44
Consider triangle AEG,
(7)=(13)+(11)=65+35=100 [exterior angle]
Consider triangle EGB,
(10)=180-100-31 = 49 [sum of angles of a triangle]
Consider triangle AEH,
(3) = 180-(4)-(13)-(11) = 180-40-65-35 = 40 [sum of angles of a triangle]
From cyclic quadrilateral ARBE,
ARB+AEB=180 =>
ARB=180-AEB=180-(35+49) = 96
By the intersecting secants theorem,
(2) = (130-18)/2 = 56 [secants FE, FB]
(1) = (130+62 - (18+70))/2 = 104/2 = 52 [secants PA,PB]
(8) = (130+62 -80)/2 = 112/2 = 56
ARD is straight line (see assumptions above)
(9) = 180-96 = 84 [sum of angles on a line]
ARP = (9) = 84 [vertically opposite angles]
Consider triangle ARP
(14) = 180-52-84 = 44
Consider tangent PA
(15) = 180-(44+40+65) = 31 [sum of angles of a triangle]
Consider triangle ABD
(6) = 180 - (40+44+56) = 40 [sum of angles of a triangle]
This completes the search for all sixteen angles, as shown in the diagram, or in the text above.
classify the triangle according to its SIDES and ANGLES.
Answer:
this is a right angled triangle
Step-by-step explanation:
It has a 90 degree angle
the hypotenuse is the longest
The other two sides adjacent to the right angle are perpendicular
It could also be called an isosceles right angled triangle
Answer:
Right angled and Isosceles
Step-by-step explanation:
Right angled because one corner of the triangle is marked with a square, which shows it is 90degrees.
Isosceles because 2 angles and 2 sides have been marked with similar lines and curves, which shows that they are equal in length. When 2 angles and 2 sides are equal, the triangle is isosceles.
Hope this helps.
Good Luck
Can someone please help me I really need help please help me
Answer:
Below in bold.
Step-by-step explanation:
f(n) = |-2n| - 6
The vertical lines about the -2n mean the 'absolute value' of the expression So if -2n is negative the absolute value is positive.
n = 19 , f(n) = |-2*19| - 6 = |-38| - 6
= 38 - 6 = 32.
In the same way:
n = 20, f(n) |-40| - 6 = 40 - 6
= 34.
n = 21, f(n) = 36
n = 22, f(n) = 38.
Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number
Answer:
4y - 9 > 17
Step-by-step explanation:
Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number.
Unknown variable = y
Nine subtracted from the product of 4 and a number is greater than 17
4 multiplied by unknown variable 'y' = (4 * y) = 4y
9 subtracted from (4y) = 4y - 9
Then, the result is said to be greater than 17
4y - 9 > 17
Hence, The Inequality expression equivalent to the sentence above is 4y - 9 > 17
Solve x^2 + 6x - 5 = 0 by completing the square.
Answer:
(x + 3)² = 14
Step-by-step explanation:
x² + 6x - 5 = 0
Add 5 and 9 on both sides.
x² + 6x + 9 = 14
Factor left side.
(x + 3)² = 14
Take the square root on both sides.
(x + 3) = ±√14
Subtract 3 on both sides.
x = -3 ±√14
the mean of five numbers is 8. when another number is added the mean is 7. find the number added
Answer:
[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]
Step-by-step explanation:
Hello,
The mean of five numbers is 8 so we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]
When another number is added the mean is 7, let s note x the another number we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]
From the first equation we can say
[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]
So the second equation becomes
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]
The solution is then 2
Hope this helps
SWAN85 please help help
Answer:
undefined
Step-by-step explanation:
y2-y/x2-x1=
(11/7-4/7)/(2/3-2/3) =(3/11)/0
undefined
The four students in the table below each recorded the time and distance traveled while exercising. Exercising Distance (miles) Time (minutes) Gia 2 30 Harris 5 50 Ian 3 40 Jackson 4 80 Which list ranks the students from fastest walker to slowest walker? Jackson, Gia, Ian, Harris Harris, Jackson, Ian, Gia Harris, Ian, Gia, Jackson Jackson, Harris, Ian, Gia
Answer:
Harris, Ian, Gia, Jackson.
Step-by-step explanation:
Exercising Distance (miles) Time (minutes)
Gia 2 30
Harris 5 50
Ian 3 40
Jackson 4 80
The easiest thing to do here would be to calculate how many miles each person can walk in 1 minute.
Gia takes 30 minutes to walk 2 miles. That means that her speed is 2/30, or 1/15, or 0.0667 miles per minute.
Harris takes 50 minutes to walk 5 miles. That means his speed is 5/50, or 1/10, or 0.1 miles per minute.
Ian takes 40 minutes to walk 3 miles. That means his speed is 3/40, or 0.075 miles per minute.
Jackson takes 80 minutes to walk 4 miles. His speed is 4/80, or 1/20, or 0.05 miles per minute.
From here, we can see that Jackson can walk the least miles per minute, since his rate is just 0.05 miles per minute. Next is Gia, who walks 0.0667 miles per minute. Then Ian, who walks 0.075 miles per minute, and finally Harris, who walks 0.1 miles per minute.
So, the order from fastest to slowest is Harris, Ian, Gia, Jackson.
Hope this helps!
The list of ranks the students from fastest walker to slowest walker is;
⇒ Harris, Lan, Gia, Jackson
What is Speed?
The speed of an object is defined as;
Speed = Distance / Time
Given that;
The four students in the table below each recorded the time and distance traveled while exercising.
Exercising Distance(miles) Time (minutes)
Gia 2 30
Harris 5 50
Lan 3 40
Jackson 4 80
Now,
Find the speed of all the students as;
For Gia;
Speed of Gia = Distance / Time
= 2 / 30
= 0.067 miles/minutes
For Harris;
Speed of Harris = Distance / Time
= 5 / 50
= 0.1 miles/minutes
For Lan;
Speed of Lan = Distance / Time
= 3 / 40
= 0.075 miles/minutes
For Jackson;
Speed of Jackson = Distance / Time
= 4 / 80
= 0.05 miles/minutes
Thus, The list of ranks the students from fastest walker to slowest walker is;
⇒ Harris, Lan, Gia, Jackson
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Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
HELP ME MATH ASAP!!!
Answer:
-5x + 13xy -7
Step-by-step explanation:
trinomial means 3 terms
degree 2 means the highest power of the variables when added together is 2
constant -7 means the constant is -7
-5x + 13xy -7
3 terms
xy = degree 2
-7 is the constant
Hi, I'm cookie monster:
A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.
Now, I better eat some more cookies before I eat my computer.
A. 4.5 B. 10 C. 5 D. None of the above ??
Set up a ratio:
12/24 = x/9
Cross multiply:
24x = 108
Divide both sides by 24:
X = 4.5
The answer is 4.5
Express 11/5 as a MIXED NUMBER?
Answer:
11 / 5 as a mixed number is 2 1/5
Hope this helps you
Answer:
2⅕
Step-by-step explanation:
5x2=10
1 left over 1/5
I'm marking answers as brainliest. ----------- What is the approximate solution to the system of equations? y=x+1, y=3x-2 --------- (-.33, -1.33) (1.4, 2.5) (-.67, .25) (0, 1.5)
Answer:
Step-by-step explanation:
y = x + 1
y = 3x - 2
3x - 2 = x + 1
2x - 2 = 1
2x = 3
x = 3/2 or 1.5
y = 1.5 + 1
y = 2.5 or 2 1/2
(1.5, 2.5)
Answer:
(1.4,2.5)
Step-by-step explanation:
Graphing
As we can see from the attached graphe, the intersection of the two lines, namely the solution, is (1.5,2.5).
So the closest approximation from the list is (1.4,2.5)
WILL GIVE BRAINLIST!!!!
Answer:
What is the question?
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
The data is already in accending order
you look for the value in middle
that will be your median
Find the area of the white region
Answer:
Area = 51.89cm^2
Step-by-step explanation:
[tex]The- region- is- a -segment\\r = 7cm\\\alpha = 150\\A = \frac{\alpha }{360} \times \pi r^2 -\frac{1}{2} \times r^2Sin\alpha \\\\A = \frac{150}{360} \times 3.142 \times7^2 -\frac{1}{2} \times 7^2 \times Sin 150\\A =5/12 \times 3.142 \times49- (1/2\times 49 \times1/2)\\A = 64.149-49/4\\A = 51.89[/tex]
The graphs of the quadratic function y= 2x^2and the exponential function y= 2^x are shown below.
Considering only the domain shown on the graph over which interval is the value of the exponential function greater than the value of the quadratic function?
A. -2.5
B. 1
C.-0.5
D.1
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: yay :D
