Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
Question 1
In this hanger, the weight of the triangle is x and the weight of the square is y.
a. Write an equation using x and y to represent the hanger.
B. If x is 6, what is y ?
Answer:
a. -3x = -2y
When x=6, y=9
Step-by-step explanation:
From the hanger, There are two sides
If x=triangle and y=square
First side has 1 triangle and 3 squares
It can be represented by
x+3y
Second side has 4 triangles and 1 square
It can be represented by
4x+y
Equate the first and second side
x+3y=4x+y
Collect like terms
x+3y-4x-y=0
-3x+2y=0
-3x=-2y
Find y when x=6
-3(6)=-2y
-18=-2y
Divide both sides by -2
-18/-2=-2y/-2
9=y
y=9
The value of y when x = 6 is 9
Given that the weight of the triangle is x and the weight of the square is y.
For the hanger at the left, the resulting equation will be:
x + 3y (1 triangle and 3 square)
For the right-hand side
4x + y (4 triangles and 1 square)
Equating both expressions
x + 3y = 4x + y
x - 4x = -2y
-3x = -2y
3x = 2y
If x = 6, hence;
3(6) = 2y
2y = 18
y = 9
Hence the value of y when x = 6 is 9
Learn more here: https://brainly.com/question/14107099
The dimensions of a plastic container are 8 in x 6 in x 4 in. What is the volume of the container? in3
Answer:
8 x 6 x 4 = 192
Step-by-step explanation:
Volume is l x w x h
Answer:
The answer is 192 inches cubed.
Step-by-step explanation:
The formula to solve the volume of a 3-D shape is length times width times height. So you would multiply 8 times 6 times 4. Then you just add the descriptions.
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?
Answer:
D)She may not be correct because means cannot be determined from Box plots.
Step-by-step explanation:
Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,
Box plot tells us about :
1) Mininmum value
2) 25th Percentile value
3)Median
4) 75th Percentile value
5)Maximum value
6) Interquartile Range
Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.
So,Option D is true
She may not be correct because means cannot be determined from Box plots.
Answer:
She may not be correct because means cannot be determined from the box plots
Step-by-step explanation:
please help me out, and find the volume i don’t know how to do this, if you can please explain how to do it as well
ur gonna do : lxbxh
so :
8x5x7
the answer is 280 yd cubed
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.
Answer:
Percent increase : 20%
Step-by-step explanation: First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
4,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
4 - (-3) simplify the expression
Answer:
7
Step-by-step explanation:
4-(-3)=4+3 (negative times negative is positive)
4+3=7
Hope that helps!
measurement of these angles
Answer:
1= 105, 2= 75
Step-by-step explanation:
Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.
Please help me with 3 more questions ill give good ratings please!
Answer:
(- 5, - 25 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)
Answer:
Option C is the correct answer.
Step-by-step explanation:
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
m=1 and m+n=4
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula
x=(m/m+n)(x₂ - x₁)+ x₁
Substituting the values, we get;
x= 1/4(4+5)-5
x = 9/4-5
x = -11/4
Thus, the x - coordinate of the point P is -11/4
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
y=(m/m+n)(y₂ - y₁)+ y₁
Substituting the values, we get;
y= 1/4(1+1)-1
y = 2/4-1
y= -2/4
y= -1/2
Thus, the y - coordinate of the point P is -1/2
Therefore, the coordinates of the point P is (-11/4, -1/2)
Hence, Option C is the correct answer.
please mark me brainliest!
Answer:
C
Step-by-step explanation:
I just did it on edge
Please help...
What is an equation in terms of x and y that can be used to model the proportional relationship?
Answer:
Step-by-step explanation:
y = 5x
Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)
Answer:
20x^2 +19x - 60
Step-by-step explanation:
3x( 4x+5) -4 (-x-3) (2x -5)
Distribute
12x^2 +15x - 4 (-x-3) (2x -5)
FOIL
12x^2 +15x - 4( -2x^2 -6x +5x +15)
12x^2 +15x - 4( -2x^2 -x +15)
Distribute
12x^2 +15x +8x^2 +4x -60
Combine like terms
20x^2 +19x - 60
Answer:
20x ^2 + 19x -60
Step-by-step explanation:
12345678910121314151617181920
|x-1|=14 solve the equation
Answer:
x = 15 x = -13
Step-by-step explanation:
|x-1|=14
There are two solutions to the absolute value equation, one positive and one negative
x-1 = 14 and x-1 = -14
Add 1 to each side
x-1+1 = 14+1 x-1+1 = -14+1
x = 15 x = -13
Answer:
x= 13 or -13
Step-by-step explanation:
Substitute x for 13
|13+-1|=14
13+1=14
14=14
Now try -13
|-13+-1|=14
13+1=14
14=14
Classify the triangle by its angles and by its sides
Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles
Answer:
Acute isoceles
Step-by-step explanation:
Two base angles of the triangle are equal making it isosceles
The top angle is less than 90° making it an acute angle
A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answer:
3 stacks of 4 reams= 12 reams
Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.
First option is 5+5= 2 stacks of 5/5 reams.
2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box
Second option is 2+3+3+2 = 4 stacks of 2/3/3/2 reams
Third option is 3+4+3= 3 stacks of 3/4/3 reams
I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
A = 2 (on the left). 10 (on the right)
Step-by-step explanation:
Use pythgaros therom
Do 7^2 - 3^2 = 40
Do square root of 40 which equals the answer
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
Answer: 8
Step-by-step explanation:
there is no table
Martha types a 4−digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly two 1's? Enter your answer as a simplified fraction.
The probability of getting two 1's is_________.
Answer:
3/8
Step-by-step explanation:
1. We list all codes that start with 0 and have 0 as second digit:
2. We list all codes that start with 0 and have 1 as second digit:
3. We list all codes that start with 1 and have 0 as second digit:
4. We list all codes that start with 1 and have 1 as second digit:
5. We find the number of codes which have exactly 2 zeros: 6 codes
6. The total number of outcomes is: 16 codes
7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8
Answer:
The probability of getting two 1's is 3/8
Step-by-step explanation:
Martha types a 4−digit code into a keypad to unlock her car doors.
The code uses the numbers 1 and 0
So the sample space of all the possible combinations is given by
1. 0 0 0 0
2. 0 0 0 1
3. 0 0 1 0
4. 0 0 1 1
5. 0 1 0 0
6. 0 1 0 1
7. 0 1 1 0
8. 0 1 1 1
9. 1 0 0 0
10. 1 0 0 1
11. 1 0 1 0
12. 1 0 1 1
13. 1 1 0 0
14. 1 1 0 1
15. 1 1 1 0
16. 1 1 1 1
So there are total 16 possible outcomes.
Now count the number of combinations that has exactly two 1's
4. 0 0 1 1
6. 0 1 0 1
7. 0 1 1 0
10. 1 0 0 1
11. 1 0 1 0
13. 1 1 0 0
So there are 6 possible outcomes with exactly two 1's
The required probability is
P(two 1's) = Number of outcomes with two 1's/Total number of outcomes
P(two 1's) = 6/16
P(two 1's) = 3/8
Therefore, the probability of getting two 1's is 3/8
Select the correct product.
(y+ z)3
y 3+3y2z+ 3yz 2 + z 3
y 3 y+ 3 z
y 3 z 3
y 3 + z 3
Answer:
Step-by-step explanation:
What is the factored form of x2 - 9x + 20?
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C
will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?
Six people read more than 2 books.
Six people read between 6 and 8 books.
Most people read 3–5 books.
Three people read zero books.
Answer:
Six people read more than 2 books.
Step-by-step explanation:
Hope that helps
Given the speeds of each runner below, determine who runs the fastest.
Adam runs 9 feet per second.
Noah runs 164 feet in 14 seconds.
Jake runs 1 mile in 412 seconds.
Katie runs 845 feet in 1 minute.
Answer:
Katie
Step-by-step explanation:
lets convert all the speeds to ft/1 sec
V adam: 9ft/sec
V noah: 164ft/14sec
164/14=11.7142857143= around 11.7 ft/sec
V jake: 1 mile/412 sec
1 mile= 5280 ft
5280 ft/412 sec=
5280/412=12.8155339806= around 12.8 ft/sec
V katie: 845ft/min
minute=60 sec
845ft/60sec=
845/60=14.0833333333= around 14.1 ft/sec
now lets order the velocities(speeds) from least to greatest:
V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec
thus, Katie is the fastest runner
If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?
Answer:
11
Step-by-step explanation:
33.45 ÷ 3 = 11.15 but round it
(im not 100% sure but I hope this helps)
to prepare for a new year john praticed marching and playing his tuba for 45 minutes he took a break and then practiced 15 more minutes how many did john practice in all
Answer:
60 minutes/1 hour
Step-by-step explanation:
45+ 15=60
Pls help I’ve already tried 3/11 but it says it wrong
Answer:
12
Step-by-step explanation:
Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is
3/11 x 44/1 = 132/11 = 12.
As I said, correct me if I'm wrong.
Hope this Helps!
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
Answer these correctly pls
Answer:
1. -3x² × 3x × 2x³ × x⁵
= (-3×3×2) x^2+1+3+5
= -18x¹¹
2. [3×(-1)×(-1)] n^2+2+3
= 3n⁷
3.[-0.5×2×(-1)] x^3+5+1
= x⁹
4.[-2×(-1)×(-1)] s^2+3+4
= -2s⁹
5.[-6×1×(-1)] v^8+5+1
= 6v¹⁴
6.[1/2×(-1)×6] p^2+3+1
= -3p⁶
7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1
= 8b¹⁰
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5
C. 0.5
D. 1.6
Answer:
!!B!!
Step-by-step explanation:
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5....is the answer
C. 0.5
D. 1.6
I hope it helps.Answer:
A
Step-by-step explanation:
8x2= 16 10x2=20
The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle
Answer:
240
Step-by-step explanation:
(2x36)/2=36
(36+39)x2/2=75
(31+39)x2/2=70
(14+31)x2/2=45
(2x14)/2=14
14+45+70+75+36=240
