Answer:
This indicates that the point of intersection is: (8,-6)
Step-by-step explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18
Which of the following relations is not a function? x y 0 1 1 4 -1 4 x y 0 2 1 3 1 -3 x y 0 -2 1 -3 -2 5 x y 0 -2 1 -2 2 -2
Answer:
-1 4 x y
Step-by-step explanation:
Help need ASAP please!
Answer:
I ANSWERED FIRST QUESTION
4A= 31.25X
4B=16
CUZ 500/31.25=16
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
4a : $31.25 [tex]*[/tex] x, 4b : 15 calculators
Question 5 ( 1 ) : [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ), Question 5 ( 2 ) : { Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }
Step-by-step explanation:
4a. If a school paid $31.25 per calculator, n number of calculators would signify a total cost of $31.25 [tex]*[/tex] n. Similarly if the school bought x number of calculators they paid a total of $31.25 [tex]*[/tex] x.
4b. We know that the school paid $31.25 per calculator, and that they spent $500. To determine the count of calculators we can create an equation that represents the relationship between the total cost, and the number of calculators.
$500 = $31.25 [tex]*[/tex] x, where x = number of calculators,
x = ( About ) 15 calculators
The exact value was 15.87...but as the number of calculators is a whole number ( you can't have part of a calculator ) our solution had to be rounded down to the nearest whole value. After all, we can't have 16 calculators if there are only " 15.87 " present.
Question 5.
1 ) Kiran won 2 / 3rds as many chips as Jada, so we can say K = [tex]\frac{2}{3}[/tex]J. Similarly Mai won 4 times as many chips as Kiran ( M = 4K ) and Tyler won half as many chips as Mai ( T = [tex]\frac{1}{2}[/tex]M ). Tyler won half as many chips as Mai, but Mai already won 4 times as many chips as Kiran, who in turn won 2 / 3rd as many chips as Jada. Therefore we can substitute each of the expression into one another,
K = [tex]\frac{2}{3}[/tex]J ⇒ M = 4K ⇒ T = [tex]\frac{1}{2}[/tex]M,
M = 4( [tex]\frac{2}{3}[/tex]J ) ⇒ T = [tex]\frac{1}{2}[/tex]M,
T = [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ) - this is our expression.
2 ) If Jada won 42 chips, we can calculate the number of chips everyone has, knowing that they each are related by a common expression,
Kiran = [tex]\frac{2}{3}[/tex]J = [tex]\frac{2}{3}[/tex]( 42 ) = 28 chips,
Mai = 4( [tex]\frac{2}{3}[/tex]J ) = 4( 28 ) = 112 chips,
Tyler = [tex]\frac{1}{2}[/tex]M = [tex]\frac{1}{2}[/tex]( 112 ) = 56 chips
{ Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }
what is the nth term of this sequence 7, 9, 11, 13
Answer:
The nth term of the sequence is
5 + 2nStep-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 7
d = 9 - 7 = 2 or 11 - 9 = 2
So the nth term for the sequence is
A(n) = 7 + ( n - 1)2
= 7 + 2n - 2
A(n) = 5 + 2nHope this helps you
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answer:
3.04 m²
Step-by-step explanation:
Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)
1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)
1x0.8=0.8 (two of these - front and back)
TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04
Total amount of screen that Alice will need for her habitat is 3.04 meter square
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Dimensions of the Caterpillar habitat is,
Width w=1 meter
Length l= 0.4 meter
Height h= 0.8 meter
Surface area = 2lw+2lh+2hw
=2×0.4×1+2×0.4×0.8+2×0.8×1
=0.8+0.64+1.6
=3.04 meter square
Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square
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A submarine is only allowed to change its depth by rising toward the surface in 60 meter stages. If the submarine starts off at 340 meters below sea level, what is its depth after 4 stages of rising to the surface.
Answer:
100
Step-by-step explanation:
340 - (4 * 60) = 100
The depth of the submarine after 4 stages of rising to the surface will be 100 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that a submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. The submarine starts off at 340 meters below sea level.
The depth of the submarine after 4 stages will be calculated as below:-
depth = 4 x 60 = 240
depth from the surface = 340 - 240 100 meters
Therefore, the depth of the submarine after 4 stages of rising to the surface will be 100 meters.
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Solve for x .........
Answer:
x = 29/20 or x = 1.45
Step-by-step explanation:
6/x + 5/(4x) = 5
Multiply all terms by x and cancel.
6 + 5/4 = 5x
Combine terms on the left side of the equation.
29/4 = 5x
Divide both sides by 5.
29/4/5 = (5x)/5
29/20 = x
Answer:
x = 29/20Step-by-step explanation:
[tex] \frac{6}{x} + \frac{5}{4x} = 5[/tex]
Multiply through by the LCM
The LCM of x and 4x is 4x
So we have
[tex] {4x} \times \frac{6}{x} + {4x} \times \frac{5}{4x} = 5 \times {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = \frac{29}{20} \: \: \: or \: \: \: 1 \frac{9}{20} [/tex]
Hope this helps you
Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:
Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
For what values of a the following expressions are true: |a−5|=5−a
Answer:
Whenever [tex]a\leq 5[/tex].
Step-by-step explanation:
We can play around with some numbers and develop some rules for this equation.
Note that the number 5 and -5 are used here, so let's try using 5 as a.
[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]
So 5 works. Let's try a random number like 3.
[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]
Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.
[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]
Zero works.
[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]
-3 works.
[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]
-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.
[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]
Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].
Hope this helped!
solve and answer the following prism
Answer:
1st) Surface Area = 178.7 cm²
Volume = 105 cm³
2nd) Surface Area = 51 m²
Volume = 15 m³
Step-by-step explanation:
1st) 1/2x2.5x7=8.75 (2 of these - one on each end)
7x12=42
12x2.5=30
12x7.433=89.20
S.A=8.75+8.75+42+30+89.2=178.7
Volume=8.75x12=105
2nd) 1/2x3x2=3 (two of these - one on each end)
5x4=20
5x3=15
5x2=10
S.A.=3+3+20+15+10=51
Volume = 3x5=15
Solve |3x + 9| + 6 = 6 Question 5 options: A) x = 3 B) x = 3 or x = –3 C) No solutions D) x = –3
Answer:
Hey there!
We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.
3x+9=0
3x=-9
x=-3
Hope this helps :)
Answer:
-3
Step-by-step explanation:
Subtracting 6 from both sides yields |3x + 9| = 0. For this to be true, 3x + 9 must be 0, and so x must be -3.
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answer:
1560 = 30(52) + b
Step-by-step explanation:
First job has $1200 in labor expenses for 40 hours worked,
Point (x,y)
(40, 1200
Second job has $1560 in labor expenses for 52 hours worked.
Point (x,y)
(52,1560
Slope of the line, m
m=1560-1200/52-40
=360/12
=30
Slope intercept,y
y=mx+b
Where,
b= y intercept
y=30x+b
points: (40,1200) and
(52,1560)
Equation to find y-intercept
y=30x+b
For point (40,1200)
1200 = 30(40) + b
y=30x+b
For point (52,1560)
1560 = 30(52) + b
The correct equation is
1560 = 30(52) + b
Answer: It is C
Step-by-step explanation:
math
is the graph increasing decreasing or constant
Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação
PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)
Part A
House 1: we make exponential can be used to describe the
value of house 1. After 1 year, 253480 = 249000 x 1.02
After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.
House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.
Part B.
House 1: f(x)=249000 1.02x [genometic sequence]
House 2: f(X) = 24900 + 1000x [arithmetic progression]
Part C
House 1: f(45)=249000×1.02 45 = 607025.697
House 2: f(45) = 249000 +7000x45 = 564000
"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.
What are word problems in mathematics?
In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.
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Which of the following is equivalent to log34
hope it helps u...
plz mark as brainliest...
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
O (x,y) - (x + 5, y-3)
(x, y) - (x + 5, y + 3)
(x,y) - (x-3, y + 5)
O (x,y) - (x + 3, y + 5)
Answer:
[tex](x,y)\rightarrow(x-3,y+5)[/tex]
Step-by-step explanation:
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is:
[tex](x,y)\rightarrow(x-3,y+5)[/tex]
Therefore, Option C should be the correct answer.
Brainilest Appreciated.
The Rule describes the translation is : (x, y) - (x - 3, y + 5)
We have a rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
We have to determine which of the given rules describes the translation.
A point P(3, 3) is translated 10 units up and 4 units to the left. What will be the new coordinates of this point P?The new coordinates of this point P will be - P'( - 1, 13).
According to the question, we have -
Upward translation = 5 units
When the upward translation will take place then, each and every point that lies on that rectangle will have its y - coordinate shifted upwards by +5 units.
Leftward Translation = 3 units
When the leftward translation will take place then, each and every point that lies on that rectangle will have its x - coordinate shifted by - 3 units
to the left.
Hence, rule describes the translation is : (x, y) - (x - 3, y + 5).
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If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3
In the diagram, AC and PR are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q? A. (-2, -4) B. (-1, -5) C. (-3, -3) D. (0, -6)
Answer:
A. (-2,-4)
Step-by-step explanation:
If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)
You can stop here because only A has the x value as -2.
If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.
Can any one help with this assssap please thanks!!
Answer:
8,12,16
Step-by-step explanation:
if the pattern is increasing by four's then the next three numbers would be
8,12,16
A
Andrea has a $25 gift card
to a art store. She buys four
canvases that are each the same
price. If she now has $2.20 on
her gift card,
what was the price of
each canvas?
Equation:
Solution:
Answer:
$5.70
Step-by-step explanation:
First we have to find out how much she spent. SO we do 25-2.20 which is 22.80. Then we have to divide by 4 since she buys four canvases that are the same price. SO 22.80/4=$5.70
Answer: 5.70
Step-by-step explanation:
Gift card = 25
Canvases = x
Since Andrea is buying four canvases, we can say that it is 4x.
Remaining balance = 2.20
Let's set up our equation. To set it up, we can write it like this
4x+2.20= 25
Now, subtract 2.20 on each side
4x = 22.8
Now divide, and you get around 5.70
So, each canvas was $5.70
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
Select the correct answer from each drop-down menu. In the figure, angle D measures 31° and angle A measures 27°. The measurement of angle B is °. The measurement of angle F is °.
Answer:
∠B = 63°, ∠F = 59°
Step-by-step explanation:
Given that angle D measures 31° and angle A measures 27°.
From the diagram attached, ∠ E = 90°, ∠G = 90°.
Also ∠C + ∠G = 180° (sum of angles on a straight line)
∠C + 90 = 180
∠C = 180 - 90 = 90°
To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:
∠A + ∠B + ∠C = 180° (angles in a triangle).
27 + ∠B + 90 = 180
∠B + 117 = 180
∠B = 180 - 117
∠B = 63°
Also in triangle DEF:
∠D + ∠E + ∠F = 180° (angles in a triangle).
31 + 90 + ∠F = 180
∠F + 121 = 180
∠F = 180 - 121
∠F = 59°
Image attached: geometry
Write an ordered pair for the point
Answer:
(0, 1)
Step-by-step explanation:
The point lies on the line x = 0.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(0, 1)
If you're good at bearings pls help mee
What is the true bearing of Milton from Binji?
The leading 0 is important with true bearings. Any true bearing must be three digits.
======================================================
Explanation:
It's not stated, but I'm assuming that Binji and Congo form a flat horizontal line.
B = Binji's location
M = Milton's location
C = Congo's location
The given angles are M = 76 and C = 38. The missing angle is
B = 180-M-C
B = 180-76-38
B = 66
Subtract this from 90 to get 90-66 = 24
The true bearing of Milton from Binji is 024 degrees
In other words, if you are at Binji's location, face directly north, and turn 24 degrees clockwise (turn to the right), then you'll be facing Milton's location.
-------------
Extra info:
In terms of compass notation, the true bearing of 024 degrees converts to N 24 E. This is the same as E 66 N, though convention usually has north used more often (since it's a common reference point with compasses).
N 24 E = start facing north, turn 24 degrees to the east
E 66 N = start facing east, turn 66 degrees to the north
compare -5/6 _ -3/7 choose from 1) > 2)
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation:
An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work
Answer:
I not understand
Step-by-step explanation:
what it this
phillp asked 100 students they favourite crisps out of ready salted, cheese and onion, and salt and vinegar. 35 students are boys 12 of these boys liked cheese and onion the best 9 girls liked ready salted the best 25 out of 41 students woh liked salt and vinger the best were girls work out the total number of students who liked ready salted the best.
Answer:16 students liked ready salted
Step-by-step explanation:
35 students = boys
65 students = girls
Boys:
12/35 like cheese and onion
16/35 like salt and vinegar
7/35 like ready salted
Girls:
9/65 like ready salted
25/65 like salt and vinegar
31/65 like cheese and onion
Read Explain 3 Parts A and B and complete Your Turn #8 below (adapted from Lesson 6.1).
8.
According to the data from the U.S. Census Bureau for 1990-2009, the number of
commercially owned automobiles in the United States can be modeled by the function
A(x) = 1.4x – 130.6x² + 1831.3x + 128,141, where x is the number of years after 1990
and A(x) is the number of automobiles in thousands. The number of privately-owned
automobiles in the United States can be modeled by the function
P(x) = -x + 24.9x² – 177.9x + 1709.5, where x is the number of years after 1990 and
P(x) is the number of automobiles in thousands. Estimate the total number of automobiles
owned in 2005.
Answer: 130875 automobiles
Step-by-step explanation:
To estimate the total number of automobiles owned in 2005, let's first find the number of years
2005 - 1990 = 15 years
Given that the Commercially owned automobiles in the United States can be modeled by the function
A(x) = 1.4x – 130.6x² + 1831.3x + 128,141, where x is the number of years after 1990
and A(x) is the number of automobiles in thousands.
Substitute 15 for x in the function
A(x) = 1.4(15) – 130.6(15)² + 1831.3(15) + 128,141
A(x) = 21 - 29385 + 27469.5 + 128141
A(x) = 126246.5 automobiles
The number of privately-owned automobiles in the United States can be modeled by the function
P(x) = -x + 24.9x² – 177.9x + 1709.5, where x is the number of years after 1990
Substitute 15 for x in the function
P(x) = -(15) + 24.9(15)² – 177.9(15) + 1709.5
P(x) = -15 + 5602.5 - 2668.5 + 1709.5
P(x) = 4628.5 automobiles
The total automobile = A(x) + P(x)
Substitutes for A(x) and P(x)
The total automobile = 126246.5 + 4628.5
= 130875
Therefore, the total number of automobiles owned in 2005 is 130875 automobiles
Mr. Weaver invested part of his $6000 inheritance in an account that earns 4%
simple interest and the other part in an account that earns 7% simple interest.
How much did he invest in each account if the two accounts earned $360 after
the first year?
Answer:
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the inheritance = $ 6,000
Interest rate of the first part = 4% simple
Interest rate of the second part = 7% simple
Interest of the accounts after the first year = $ 360
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
6,000 - x = Amount invested in the second account
0.04x + 0.07 * (6,000 - x) = 360
0.04x + 420 - 0.07x = 360
-0.03x = 360 - 420 (Subtracting 420 at both sides)
-0.03x = -60
x = -60/-0.03
x = 2,000 ⇒ 6,000 - x = 4,000
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.