Answer:
A. (3,-4)
Step-by-step explanation:
Hi there!
When we reflect a point (x,y) across the y-axis, it will become the point (-x,y).
Right now we can see that point G has the coordinates (-3,-4). Therefore after reflecting about the y-axis, it would become (3,-4).
I hope this helps!
Please Help! Select the correct systems of equations. Which systems of equations intersect at point A in this graph?
Answer:
The systems of equation satisfying the problem are
Y= 4x+9
Y= -3x-5
Y= 2x+5.
Y= 5x+11
Y= 3x+7
Y= -x-1
Step-by-step explanation:
From the graph in the figure
The point A ; x= -2,y=1
So the equations that will interest at point A are the equations that both pass through the point A.
To know the equations that pass through the point A we solve them simultaneously.
For
Y = 10x-1
Y= -3x-5
0= 13x +4
X= -4/13..... definitely not this one
For
Y= 4x+9
Y= -3x-5
0= 7x +14
-14= 7x
-2= x
Substituting the value of x into Y= 4x+9
Y= 4x+9
Y= 4(-2)+9
Y = -8+9
Y= 1
So it's definitely this one
Let's check to know if there is any more
Y = 2x+5
Y= x-1
0= x +6
Definitely not this one
For
Y= 2x+5.
Y= 5x+11
0 = 3x+6
-6= 3x
-2= x
Y= 2x+5.
Y=2(-2)+5
Y= 1
Definitely this one
For
Y= 3x+7
Y= -x-1
0 = 4x +8
-8= 4x
-2= x
Y= -x-1
Y= -(-2)-1
Y= +2-1
Y= 1
Definitely this one too
The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]
(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]
and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].
Given, Coordinates of point A is (-2,1).
We have to find which systems of equations intersect at point A in this graph.
The system of equation which satisfy the point A(-2,1) will intersect at point A.
On putting the value of x=-2 and y= 1, in 1st pair
the equation doesn't satisfy.
similarly checking all the options, we find that the below system equations intersect at point A.
[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]
Hence the correct options are system of equations shown by options (B), (D) and (E).
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The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram? z = -1.2 z = 0.85
Answer:
31.28%
Step-by-step explanation:
The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the raw score is above the mean then the z score is positive while if the raw score is below the mean then the z score is negative. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given the z score z = -1.2 z = 0.85. From the normally distribution table, the probability that a value falls between z = -1.2 and z = 0.85 = P(z < 0.85) - P(z < -1.2) = 0.8023 - 0.1151 = 0.6872
The proportion of values that do not fall between z = -1.2 and z = 0.85 = 1 - 0.6872 = 0.3128 = 31.28%
Which of the following equations has roots x = 3 (multiplicity 3) and x = -i?
A. f(x) = x3 - 3x2 + x - 3
B.f(x) = x + 9x4 + 28x3 + 36x2 + 27x + 27
C.f(x) = x - 9x4 + 28x3 – 36x2 + 27x – 27
D.f(x) = x3 + 3x2 + x + 3
Answer:
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
Step-by-step explanation:
The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.
A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]
x = 3
[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]
[tex]f(3) = 27-27+3-3[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]
[tex]f(-i) = i + 3-i-3[/tex]
[tex]f(-i) = 0[/tex]
B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]
x = 3
[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]
[tex]f(3) = 2109[/tex]
x = -i
[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]
[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]
[tex]f(-i) = -56\cdot i +64[/tex]
[tex]f(-i) = 64 -56\cdot i[/tex]
C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]
x = 3
[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]
[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]
[tex]f(-i) = 0[/tex]
D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]
x = 3
[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]
[tex]f(3) = 60[/tex]
x = -i
[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]
[tex]f(-i) = -i+3-i+3[/tex]
[tex]f(-i) = 6-i\,2[/tex]
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
For what value of x is the rational expression below equal to zero?
x-4/(x+5)(x-1)
O A. -5
O B. 4
C. -4
O D. 1
Answer:
x=4
Step-by-step explanation:
(x-4)/(x+5)(x-1)
For this to be equal to zero, the numerator must be zero and the denominator not equal to zero
x-4 = 0
x=4
8 less than half of n
Answer:
n/2>8
Step-by-step explanation:
Half of N is N/2
And if 8 is less that half of N or N/2
then
N/2 has to be greater than 8
N/2>8
Which expression is not equivalent to the other expressions?
-6(2x-4)
-(12x-6)+18
-3(4x-3)+15
-4(3x+6)
can someone explain this please?
Answer:
Hey there!
Our equation can be: 2y+3=4y+2
Hope this helps :)
Answer:
2y+3=4y+2
I hope you got it..
Find the missing side. Round answer to the nearest tenth.
Tanθ = opposite / adjacent
[tex] \tan(32) = \frac{x}{25} \\ 0.624 = \frac{x}{25} \\ x = 15.6 \\ x = 16[/tex]
I hope I helped you ^_^
What is the answer please
Answer:
I think it should be (C)
Answer:
B
Step-by-step explanation:
The fastest way to solve this would to plug in a number for x such as 1 in both equations to find which 2 are equivalent.
When you plug 1 into the top equation it equals 3.5, so now we need to find the correct equation below that equals 3.5 when 1 is plugged in for x.
When you plug 1 into equation B you are also left with 3.5.
Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?
Answer:
2cm/present is the unit rate
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]
[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]
[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]
[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.
Answer:
The future value of the car after 5 years is $36,249.5
Step-by-step explanation:
Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.
To find the value, we make use of an exponential equation;
The exponential equation to use is;
FV = PV(1 - r)^n
where FV is the future value of the car which is what we want to calculate
PV is the present value of the car which is $55,000
r is the depreciation percentage = 8% = 8/100 = 0.08
n is the number of years.
So now, we input these values into the formula;
FV = 55,000(1 -0.08)^5
FV = 55,000(0.92)^5
FV = $36,249.5
-5x-10=10 solve for x
Answer:
x = -4
Step-by-step explanation:
-5x-10=10
Add 10 to each side
-5x-10+10=10+10
-5x = 20
Divide each side by -5
-5x/-5 = 20/-5
x = -4
Answer: x= -4
Step-by-step explanation:
[tex]-5x-10=10[/tex]
add 10 on both sides
[tex]-5x=20[/tex]
divide -5 on both sides
[tex]20/-5=-4[/tex]
[tex]x=-4[/tex]
What is the minimum of 52, 59, 61, 65, 65, 71, 72, 73, 74, 76, 83, 88, 92, 94, 97, 98, 101, 102, 103, 110
Answer:
52
Step-by-step explanation:
The minimum of the data set is the smallest number. Therefore, the minimum is 52.
5. Write down at least five number
pairs to solve the equation
(r - 2)(s + 1) = 100.
Answer:
1. (52 - 2) (1 + 1) = 1002. (12 - 2) (9 + 1) = 1003. (6 - 2) (24 + 1) = 1004. (3 - 2) (99 + 1) = 1005. (102 - 2) (0 + 1) = 100Step-by-step explanation:
1. let r= 52 and s= 1(52 - 2) (1 + 1) = 10050 × 2 = 1002. let r= 12 and s= 9(12 - 2) (9 + 1) = 10010 × 10 = 1003. let r= 6 and s= 24(6 - 2) (24 + 1) = 1004 × 25 = 1004. let r= 3 and s= 99(3 - 2) (99 + 1) = 1001 × 100 = 1005. let r= 102 and s= 0(102 - 2) (0 + 1) = 100100 × 1 = 100[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
Anyone here that can help me with?
Answer:
D. 16 years old
Step-by-step explanation:
Step 1: Let T be Tien's age and J as Jordan's age (today),
[tex]T=\frac{1}{4}J[/tex]
Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),
[tex]T+2=\frac{1}{3} (J+2)[/tex]
[tex]T=\frac{1}{3}(J+2)-2[/tex]
Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]
2,000
10,000
milligrams
grams
6
7
HELPPPPPPPPP
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
(10 PTS) How do I solve for this? Please show work
Answer:
4
Step-by-step explanation:
8 ^ 2/3
Rewriting 8 as 2^3
( 2^3) ^ 2/3
We know that a^ b^c = a^ (b*c)
2 ^ ( 3 * 2/3)
2 ^ 2
4
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55Consider the functions...
[tex]g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2[/tex]
I hope I helped you^_^
What is the volume of a right square pyramid with a height of 3cm and a base that measures 8cm by 8cm?
Answer:
64 cm^3
Step-by-step explanation:
Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3
Answer this question
Answer:
The answer is 10%
Step-by-step explanation:
Given,
C.P = 50
Profit = 5
So, S.P = 55
Now,
[tex]Percentage=\frac{S.P-C.P}{C.P}=\frac{55-50}{50}=0.1[/tex]
= 0.1 × 100% = 10%
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Jonah will cover a cube in wrapping paper. Each edge of the cube is 25 cm long. What is the least amount of
wrapping paper he needs to cover the cube?
15 625 square centimeters
25 square centimeters
37.5 square centimeters
42 25 square centimeters
Save and Exit
Next
Subm
MO
Answer:
3750 cm²
Step-by-step explanation:
To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².
Answer:
37.5 hopefully this is the answer you were looking for!
Step-by-step explanation:
calculate with reasons, the size of the unknown indicated angles
pls help !!
Answer:
x+125+25=180 angles of triangle
x=180-150
x=30
0.741 round to nearest one
Answer:
Step-by-step explanation:
Since round to the nearest one is too vague, i'll give everything this can be rounded too
Rounded to the nearest whole number
0.741 = 1
Rounded to the nearest tenth
0.741 = 0.7
Rounded the the nearest hundreth
0.741 = 0.74
Hopefully this helps
Please help!! Thank you in advance! Will mark Brainliest!
Answer:
F , D, E
Step-by-step explanation:
The smallest angle is opposite the smallest side
The largest angle is opposite the largest side
DE is smallest so F is smallest
Then EF so D
DF is largest so E is the largest angle
2t(t-1)-t+1 factorise
Answer:
this is the answer of this question
hoping it will help u
Is {3,…} a defined set
Answer:
no it's not a defined state it's undefined
Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael sent 2 times as many messages as Christine. How many messages did they each send?
Answer:
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Step-by-step explanation:
Christine, Dale, and Michael sent a total of 71 messages
C + D + M = 71
Dale sent 9 fewer messages than Christine
D = C - 9
Michael sent 2 times as many messages as Christine
M = 2C
Plug-in the numbers.
C + C - 9 + 2C = 71
4C - 9 = 71
4C = 80
C = 20
Now, plug in to other equations for other results.
D = (20) - 9
D = 11
M = 2(20)
M = 40
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Verify?
40 + 20 + 11 = 71.
what is the cost of paving a driveway that is 18m long and 4 m wide, if the paving costs $35 per square metre?
Answer:
$2520
Step-by-step explanation:
→ Work out the area of the drive way
18 m × 4 m= 72 m²
→ Multiply the area by the cost per square metre
72 m² × $35 = $2520
The cost of paving a driveway that is 18m long and 4 m wide, if the paving costs $35 per square metre is $2520.
To calculate the cost of paving the driveway, you need to find the total area of the driveway and then multiply it by the cost per square meter.
The total area of the driveway can be calculated using the formula:
Area = length × width.
Given that the driveway is 18 meters long and 4 meters wide, the area would be:
Area = 18m × 4m
Area = 72 square meters.
Now, find the cost of paving the driveway by multiplying the area by the cost per square meter:
Cost = Area × Cost per square meter
Cost = 72 square meters × $35/square meter
Cost = $2520.
So, the cost of paying the driveway would be $2520.
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