PLEASE HELP
Which graph represents the system of inequalities?
y+3/4x<2
y-1 ≥ 2x
Inequalities are used to represent unequal expressions.
See attachment for the graph of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]
The inequalities are given as:
[tex]y + \frac 34 x < 2[/tex]
[tex]y - 1 \le 2x[/tex]
Make y the subject in both inequalities
[tex]y < - \frac 34 x + 2[/tex]
[tex]y \le 2x +1[/tex]
[tex]y < - \frac 34 x + 2[/tex]
The above inequality has a negative slope< indicates that the inequality will make use of dotted lines[tex]y \le 2x +1[/tex]
The above inequality have a positive slope< indicates that the inequality will make use of closed linesNone of the given graphs represent the system of the inequalities
See attachment for the graphs of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]
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5 Kari makes a kite in the form of a parallelogram, EDGF, as shown in the diagram. Its diagonals [DF] and [EG] intersect at point H. She plots the vertices on a coordinate system with the following coordinates:
D(3,6), G(1,3), H(4, y) and E(x, 6). Find the values of x and y.
Answer:
The values of x and y are;
x = 7 and y = 4.5
Step-by-step explanation:
The question is a word problem, given that the shape of the kite Karl makes is a parallelogram
The coordinates of the vertices are;
D(3, 6), G(1, 3), H(4, y), and E(x, 6)
From the properties of a parallelogram we have;
The diagonals bisect each other
Therefore;
GH = EH = 1/2·GE
Therefore, we have;
The coordinates of the point H = The coordinate of the midpoint of the line EG
The coordinates of the midpoint of a line with end points, (x₁, y₁) and (x₂, y₂) is given as follows;
The coordinates of the midpoint of a line = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Therefore;
The coordinates of the midpoint of the line EG are ((1 + x)/2, (3 + 6)/2)
Given that the midpoint of EG is the point H and the coordinate of the point H is (4, y), we have;
(1 + x)/2 = 4, therefore;
2 × 4 = 1 + x
8 = 1 + x
x = 8 - 1 = 7
Similarly, we have from the coordinate of point H which is given as follows;
((1 + x)/2, (3 + 6)/2) = (4, y)
y = (3 + 6)/2 = 9/2 = 4.5
Therefore, x = 7, y = 4.5.
Parallel sides of a parallelogram have the same slope
The values of x and y are 6 and 3, respectively.
The coordinate points are given as:
[tex]\mathbf{D =(3,6)}[/tex]
[tex]\mathbf{G =(1,3)}[/tex]
[tex]\mathbf{H =(4,y)}[/tex]
[tex]\mathbf{E =(x,6)}[/tex]
Lines DG and HE are parallel.
This means that they have the same slope (m)
The slope is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{DG} = \frac{3 - 6}{1 - 3}}[/tex]
[tex]\mathbf{m_{DG} = \frac{- 3}{- 2}}[/tex]
[tex]\mathbf{m_{DG} = \frac{3}{2}}[/tex]
Similarly
[tex]\mathbf{m_{HE} = \frac{6 - y}{x - 4}}[/tex]
The slopes are equal.
So, we have:
[tex]\mathbf{\frac{6 - y}{x - 4} = \frac 32}[/tex]
By comparison:
[tex]\mathbf{6 - y = 3}[/tex] and [tex]\mathbf{x - 4 = 2}[/tex]
Solve for y in [tex]\mathbf{6 - y = 3}[/tex]
[tex]\mathbf{y = 3}[/tex]
Solve for x in [tex]\mathbf{x - 4 = 2}[/tex]
[tex]\mathbf{x = 6}[/tex]
Hence, the values of x and y are 6 and 3, respectively.
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J is the midpoint of CT
T
If:
CJ = 4x - 9 and
JT = 9x – 34
Find CT.
Answer:
Step-by-step explanation:
4x - 9 = 9x - 34
-5x - 9 = -34
-5x = -25
x = 5
4(5) - 9 + 9(5) - 34
20 - 9 + 45 - 34
11 + 11 = 22
The value of CT such that J is the midpoint of CT will be 22.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
J is the midpoint of CT
CJ = JT
4x - 9 = 9x - 34
-9 + 34 = 9x - 4x
25 = 5x
x = 5
So CT = 2(CJ) = 2(4 x 5 - 9) = 22
Hence "The value of CT such that J is the midpoint of CT will be 22".
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PLEASEEEEE HELPPPP!!!!!!!
Martha likes to bowl and wants to compare total costs to find the bowling alley that offers the better deal. She has two bowling alleys to consider:
• “Ten Pin Alley” charges $3.00 for shoe rental and $2 per game.
• “Northrock Lanes” charges $6.00 for shoe rental and $1 per game.
Write a system of equations to represent this situation where x represents the number of games bowled and y represents the total cost.
Answer:
3+x=y
x=2/y=5
6+x=y
x=1/y=7
What is the midpoint of M(6,-1) and S(9,5)
Answer:
MP= (7.5,2) or another way of it [tex]MP= (\frac{15}{2},2 )[/tex]
Step-by-step explanation:
Midpoint formula: [tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )[/tex] 6+9=15 -1+5=4
[tex]MP= (\frac{15}{2}),(\frac{4}{2} )[/tex] 15/2=7.5 4/2=2
[tex]MP= (7.5,2)[/tex]
An oak tree casts a shadow 18 feet long. If a 4 foot child casts a 3 foot shadow at the same time of day, how tall is the oak tree?
Answer:
23.99999 rounded 30
Step-by-step explanation:
4/3 x 18
HELP PLS WILL GIVE BRAINLISTE
Answer:
C.
Step-by-step explanation:
all you have to do is replace the x with 14 until the equation is true.
Answer: C and H
Step-by-step explanation:
plugging in for each equation for the first one C is the only one that comes up with a whole number and with H you divide and then add to get the answer :)
Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen will Kayla receive?
Answer:
25,722 yen
Step-by-step explanation:
300x85.74 is the simplest way to do this and I am just adding words to compete this
Answer:
85.74 x 300 $ = 25722 Yem
This triangle has an exterior angle labeled ZA.
All of the interior angles are labeled correctly.
800
ZA
600
400
Which statement about the exterior angle is
correct?
A. It is 140° because it is supplementary to 40°.
B. It is 50° because it is complementary to 40°.
C. It is 120° because 40° +80° = 120°.
D. It is 60° because 60° + 40° = 100°.
Answer:
A. It is 140° because It is supplementary to 40°
It is 140° because it is supplementary to 40°. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Angle ∠A and angle 40° are supplementary angles. Then the equation is given as,
∠A + 40° = 180°
∠A = 140°
The proportion of point ∠A will be 140°. It is 140° in light of the fact that it is strengthening to 40°. Then the right choice is A.
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Solve the equation. 5+4x-7=4x-2-x
i need helpppppppppppppppppppp
Answer:
6
Step-by-step explanation:
Polynomials: I’ll give brainliest. What is the perimeter of this?
2(5x - 4)
Step-by-step explanation:Perimeter formula
P = 2l + 2w
P = 2(3x - 5) + 2(2x + 1)
= 6x - 10 + 4x + 2
= 10x - 8
= 2(5x - 4)
Brenden read 120 pages in 90 minutes. Which of the following has the same constant
of proportionality as Brenden's rate?
90 pages in 60 minutes
60 pages in 30 minutes
200 pages in 150 minutes
150 pages in 120 minutes
Answer:
200 pages in 150 minutes.
Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F
What is the mean absolute deviation of this data set?
Enter your answer in the box.
Answer:
The mean absolute deviation = 3.5°F
Step-by-step explanation:
The sum of the given temperatures, ∑T, is found as follows;
∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F
The number of days, n, over which the temperature was tracked = 8 days
Therefore, the mean, [tex]\bar x[/tex], of the data set = ∑T/n = 480°F/8 = 60°F
The mean absolute deviation is given by the following formula;
[tex]Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}[/tex]
Therefore, we have;
66 - 60 = [tex]\left | 6\right |[/tex] = 6
57 - 60 = [tex]\left | -3\right |[/tex] = 3
61 - 60 = [tex]\left | 1\right |[/tex] = 1
65 - 60 = [tex]\left | 5\right |[/tex] = 5
54 - 60 = [tex]\left | -6\right |[/tex] = 6
62 - 60 = [tex]\left | 2\right |[/tex] = 2
59 - 60 = [tex]\left | -1\right |[/tex] = 1
56 - 60 = [tex]\left | -4\right |[/tex] = 4
The mean absolute deviation is therefore;
The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.
Four consecutive odd integers have the sum of 80. Find the integers.
Answer:
Step-by-step explanation:
let 4 no:s be x, 3x, 5x, 7x
given, x+3x+5x+7x=80
16x = 80
x = 80/16
therefore, x=5
so, x=5
3x=15
5x= 25
7x= 35
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What is 4+5-52 times 4
Answer:
4+5-52*4=-199
Step-by-step explanation:
2) translation: 1 unit left and 2 units up
Answer:
[tex](x,y)\rightarrow(x-1,y+2)[/tex]
Step-by-step explanation:
One unit left would be subtracting 1 from the pre-image's x-value.
Two units up would be adding 2 to the pre-image's y-value.
The translation rule would be:
[tex](x-1,y+2)[/tex]
Hope this helps.
The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).
What is geometric transformation?It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.
It is given that the coordinates of the points are (x,y)
We have to find the coordinates after the translation of 1 unit left and 2 units up.
A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.
Thus, the obtained coordinates will be (x-1,y+2).
The question is incomplete.
The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?
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can you help me estimate 102.3+4.7
Answer: 107
Step-by-step explanation:
102.3 can be rounded down to 102 (because the 3 at the end of the number is less than 5)
4.7 can be rounded up to 5 (because the 7 at the end of the number is greater than 5).
102.3 → estimate = 102
4.7 → estimate = 5
estimated sum = 107
Note that estimating the sum is NOT the same as simply adding the numbers and then rounding the sum.
The population of a certain city decreased by 43,000 people.
Write a signed number to represent this population change.
A signed number to represent a given population change is -43,000.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Since the population of a certain city decreased by 43,000 people.
The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.
Thus, we can population change is shown by -43,000.
Hence, a signed number to represent this population change is -43,000.
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Solve by elimination
3x-30=Y
7y-6=3x
QUICK NEED HELP LAST QUESTION ILL GIVE BRAINLY TO WHO EVER ANSWERS FIRST
Answer:
no
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
15 divided by 6 equals 2.5
What are the coordinates of point S?
Answer:
The coordinates of S is (-2,2)
use the pattern to extend the table.
If the pattern continues. the height of 15 boxes will be how many feet
Answer:
33.75
Step-by-step explanation:
Every box has a height of 2.25 feet so if you multiply 2.25 times 15, you get 33.75.
I hope this helped!
Which equation is equivalent to x + x - (-3) = 12?
A. x2 + 3 = 12
B. x2 – 3 = 12
C. 2x + 3 = 12
D. 2x – 3 = 12
Answer:
C.) 2x+3 = 12
Step-by-step explanation:
x+x=2x
2x-(-3) is 2x+3
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No time is thinking of a six digit number in which all the digits are the same the value of the digit in the thousands place is 8000 what is new Times number
Answer:
The number is 888888
Step-by-step explanation:
Here, we are interested in knowing the six digit number thought of by No time.
The clue we have here is that the six digit number has same value of digit for all its constituent.
Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.
So the 6 digit number is 888888
a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get
Answer:
5 paper clips each
Step-by-step explanation:
20/4 = 5
Answer:
They each get 5
Step-by-step explanation:
Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the total number of toy cars in Ariana's collection?
Answer:
40 cars
Step-by-step explanation:
The total percentage of Ariana's car collection should be = 100%
35% of the collection = 14
1 percent = 14/35
1 percent is therefore 0.4
To get the total number of cars in Ariana's collection, we multiply 100 by 0.4
= 100 x 0.4 = 40
Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.
Another way to solve this is by cross multiplication
35% = 14
100% = ?
When we cross multiply we have:
(100x14)/35
= 1400/35
= 40
Thank you!
Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions
Answer:
$1.40/ hour
Step-by-step explanation:
The rate of the deductions is
Full amount minus new amount. This is the amount taken per hour
$6.50/ hour -$5.2/hour = rate
$1.40/ hour
Pls help I’m stuck on it
Answer:
Step-by-step explanation:
its a
Answer:
I believe it C
Toby says that the converse of
the following statement is true. Is Toby's reasoning correct? Explain.
If a number is divisible by 6, then it is divisible by 2
Answer:
false
Step-by-step explanation:
Because in a counterexample if 10 is divisible by 2 but not by 6 then it is false.