The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F
Answers
The point that is a solution to the system of inequalities on the coordinates grid is A.
How to illustrate the information?It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.
Shade the region below the like for x = 5.
y = -2(5) + 10
= -10 + 10
= 0
For x= 0
y = -2(0) + 10
= 0 + 10
= (0, 10)
The diagram is attached.
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Related Questions
: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What other information do you need in order to prove the triangles congruent using the SAS Postulate?
Answers
Answer: [tex]\angle BCA \cong \angle ACD[/tex]
Step-by-step explanation:
By the reflexive property, [tex]\overline{AC} \cong \overline{AC}[/tex]. So, we just need the pair of angles between these corresponding sides to be congruent.
If three farmers share some bags of fertilizers in the ratio 3:4:5.if the smallest share is 18 bags.what is the largest share
Answers
Answer:
30
Step-by-step explanation:
Sum of the ratios = 3 + 4 + 5 = 12
Smallest share = 18 bags
Ratio of the smallest share = 3
Let the largest share = x
From the question
18 ------------ 3
x --------------5
Cross multiply
3x = 18 × 5
Dividing bothsides by 3
X = 18 × 5/ 3
X = 90 / 3
X = 30
Therefore.
The largest share = 30
The average height of American women (in 2016) is 5 ft. 4 inches (64 inches) with a standard deviation of 3 inches. What is the probability that the average height of a random group of nine American women would be less than five feet three inches
Answers
Probability of average height of women is 0.1379
First check to see if the Central Limit Theorem applies. Since n > 30, it does. Next we need to calculate the standard error. To do that we divide the population standard deviation by the square-root of n, which gives us a standard error of 0.646. Next, we calculate a z-score using our z-score formula:
Z=(X−μ)/S.E.
S.E = σn/√n
S.E =3/√ 9
S.E=1
Plugging in gives us:
(64−63)/1 = 1
Finally, we look up our z-score in our z-score table to get a p-value.
The table gives us a p-value of,
P(z<1.0)=1−P(z>1.0)
P(z<1.0)=1−0.8621
P(z<1.0)=0.1379
So, Probability of average height of women is 0.1379
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Graph the exponential model
y = 3(6)^x Which point lies on the graph?
(-9 2)
(2, 9)
(- 1, - 18)
(1, 18)
Answers
Answer: (1, 18)
Step-by-step explanation:
Test each x, y pair.
Getting to the last one, plug in 1 for the x value.
y = 3 * (6 ^ x)
y = 3 * (6 ^ 1)
y = 3 * 6
y = 18
This matches with (1, 18) so it must lie on the graph.
37 The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the
circumference of circle Y in centimeters?
A 15.7 cm
B 7,85 cm
C 137 cm
D 31.4 cm
Answers
Answer:
A
Step-by-step explanation:
this can be done without any calculator, which I did and explain below :
the circumference of a circle is always
2×pi×r
with r being the radius, which is always half of the diameter.
so, the circle X circumference is
pi×15
circle Y
pi×20
the difference is
20×pi - 15×pi = 5×pi
5×pi is half of 10×pi, which would be 10×3.1415... = 31.415...
half of that is about 15.7.
so, A is the correct answer
Answer:
cual es la respuesta de esta pregunta
Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.
How much more soda did Kari drink than Aisha?
Write your answer as a fraction or as a whole or mixed number.
bottles
Answers
Answer:
4/6= 2/3
Step-by-step explanation:
5/6 - 1/6 = 4/6
lowest form : 2/3
Answer:
Hello! The answer to your question is 2/3.
Step-by-step explanation:
In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:
[tex]\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}[/tex]
4/6 can be simplified by dividing the numerator and denominator by 2:
4/2 = 2
6/2 = 3
Therefore, your answer is:
[tex]\frac{2}{3}[/tex]
O is the centre of the circle shown below. Line DHG is a tangent to the circle.
Work out the size of angle a.
Justify your answer.
Answers
[tex]\angle EHF=90^{\circ}[/tex] (an angle inscribed in a semicircle is a right angle)
[tex]\angle HEF=38^{\circ}[/tex] (alternate segment theorem)
[tex]a=52^{\circ}[/tex] (angles in a triangle add to 180 degrees)
A rectangle has a length of 6x-5y+1. If the perimeter of the rectangle is 16x-4y-4, determine an expression for its width
Answers
Answer:
2x +3y -3
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Perimeter of a rectangle= 2 length +2 width
16x -4y -4= 2(6x -5y +1) +2(width)
Expand:
16x -4y -4= 12x -10y +2 +2(width)
2(width)
= 16x -4y -4 -(12x -10y +2)
= 16x -4y -4 -12x +10y -2
= 4x +6y -6
2(width)= 2(2x +3y -3)
Divide both sides by 2:
width= 2x +3y -3
2n + 1.6 = 17.6 what is the value of n?
Answers
Answer:
n = 8Step-by-step explanation:
2n + 1.6 = 17.6 what is the value of n?
2n + 1.6 = 17.6
2n = 17.6 - 1.6
2n = 16
n = 16 : 2
n = 8
-----------------
check
2n + 1.6 = 17.6
2*8+1.6=17.6
16+1.6=17.6
17.6=17.6
the answer is good
help!!!!
Which of the following graphs shows the
solution set to x ≥
-3 and x < 3?
Answers
Answer:
C. or third choice.
Step-by-step explanation:
For x ≥ -3 you will need a colored in circle because it has a greater than or equal to sign, and it is shaded to the right.
For x < 3 you will need a circle that is not colored in because it is a less than sign, and it is shaded to the left.
Hope this helps!
If not, I am sorry.
A box contains 2 green, 5 blue, and 8 yellow chips. If two chips are drawn at random one after the other with replacement.
find the probability that both the chips are green.
Answers
The probability that both the chips are green is: 4/225
How to determine the probability?The given parameters are:
Green = 2
Blue = 5
Yellow = 8
Total = 15
The probability that both the chips are green is:
P = P(green) * P(green)
This gives
P = 2/15 * 2/15
Evaluate
P = 4/225
Hence, the probability that both the chips are green is: 4/225
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Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F.
[Figure may not be drawn to scale]
In triangle ABC, BG = 24 mm. What is the length of segment GE?
12 mm
24 mm
36 mm
48 mm
Answers
Medians are concurrent and cut each other in the ratio of 2:1 from the vertex
BG:GE = 2:1 = 24:12
what is the surface area of a cylinder with a radius of 9 and width of 2
Answers
A=radius squared multiplied by pi (3.14)
Formula for surface area:
A= area of circle multiplied by height
Explanation and Answer:
9x9= 81 (radius of circle squared)
81x3.14=254.34 radius of circle squared multiplied by pi)
254.34x508.68 (area of circle x height)
what is the side view ? the rest are right like i've tried loads of combinations but they're not right, please say what the shape is you know
Answers
Answer:
it will be a rectangle mostly...
From the side you cannot tell it is a sloping rectangle.
0.3 y+\dfrac yz0.3y+
z
y
0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5
Answers
The required solution to the equation is [tex]0.3y+\frac{y}{z}[/tex] at y=10, z=5 is 5.
As we have the equation [tex]0.3y+\frac{y}{z}[/tex] and find solution At y =10 and z=5
What is equation?
The equation is the relationship between dependent and independent variables through some mathematical operators.
Now,
putting the value of y=10, z=5 in [tex]0.3y+\frac{y}{z}[/tex]
⇒[tex]0.3*10+\frac{10}{5}[/tex]
= 5
Thus the required value of the equation at y=10 and z =5 is 3.
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Solve x please explain
Answers
Answer:
x = 4
Step-by-step explanation:
co interior angles add up to 180.
this means that: 48 + 34x - 4 = 180
thus 48 + 34x = 184
therefore, 34x = 136
so, x = 4.
The two angles labeled in the given diagram are interior angles on the same side of the transversal. They can also be called interior supplementary angles.
These angles have a sum of 180 degrees.
Solving the QuestionThe two angles given have measures of 48 degrees and (34x-4) degrees.
They have a sum of 180 degrees.
Form an equation:
[tex]48+(34x-4)=180\\48+34x-4=180\\44+34x=180\\34x=180-44\\34x=136\\x=4[/tex]
Answer[tex]x=4[/tex]
5 2/8 minus 1 3/8 (show work)
Answers
Answer:
[tex]\frac{31}{8} or 3\frac{7}{8}[/tex]
Step-by-step explanation:
First, these 2 fractions are proper fractions, we will convert them into improper ones.
[tex]5\frac{2}{8} = \frac{42}{8}[/tex]
[tex]1\frac{3}{8} =\frac{11}{8}[/tex]
Now to subtract fractions, we must ensure the denominators are the same, which in this case is already the same, so we can subtract straightaway.
[tex]\frac{42}{8} - \frac{11}{8} \\=\frac{31}{8} or 3\frac{7}{8}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{5 \dfrac{2}{8} - 1 \dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{5 \times 8 + 2}{8} - \dfrac{1 \times 8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{40 + 2}{8} - \dfrac{8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{42}{8} - \dfrac{11}{8}}[/tex]
[tex]\mathsf{= \dfrac{42 - 11}{8 - 0}}[/tex]
[tex]\mathsf{= \dfrac{42 - 11}{8}}[/tex]
[tex]\mathsf{= \dfrac{31}{8}}[/tex]
[tex]\mathsf{\approx 3 \dfrac{7}{8}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{3 \dfrac{7}{8}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040}[/tex]
A large tank of sterile water holds 200 gallons . It is leaking at an unknown rate. At 4:30 pm the tank had 137 gallons and at 7:00 pm the tank had 115 gallons. Assuming the tank was full when the leak began , write a function to estimate how much water is in the tank. now find the time at which the tank began leaking and the time at which the tank will be empty.
Answers
Answer:
1. 8.8 gallons per hour
2. 9:20 am
3. 8:04 am
Step-by-step explanation:
The tank lost 22 gallons of water in 150 minutes (2.5 hours)
This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour
The function: 200 - 0.147(x)
So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.
So it has been leaking since 9:20 am.
In order for it to completely empty, it needs to drain 115 gallons of water.
At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.
So it will be empty at 8:04 am.
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
g(1) = -2
g(5) = 12
g(3) = 18
g(2) = 4
Answers
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8.
1.) g(1) = -2
Since the range is from 0 to 18. Therefore, this is not the correct option.
2.) g(5) = 12
Since the domain is from -1 to 4. Therefore, this is not the correct option.
3.) g(3) = 18
This is the only option that is feasible. Thus, this is the correct option.
4.) g(2) = 4
Since the value of g(2) is 8. Therefore, this is not the correct option.
Hence, the correct option is C.
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URGENT PLEASE!
Find the values of x, y, and z.
Answers
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x,y, and z is √38, (5√38)/3, and √80.556, respectively.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The measure of Y is,
y² = 5² + 3²
y = √38
The measure of ∠C,
Tan(∠C) = 5/3 = z/√38
z = (5√38)/3
The measure of z is,
z² = 5² + x²
x = √80.556
Hence, the value of x,y, and z are √38, (5√38)/3, and √80.556, respectively.
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Which of the following functions shows the linear parent function, F(x) = x,
shifted right?
OA. G(x) = 4x
OB. G(x) = x + 2
OC. G(x) = x-9
OD. G(x) = -x
Answers
Answer: C
Step-by-step explanation:
See attached image.
A new car costs $34,000 and its value depreciates at 14% of its value each year. What is the decay factor for the value of this car? What will be the price of the car after 10 years?
Answers
The price of the car after 10 years is $7524.25 if the new car costs $34,000 and its value depreciates at 14% of its value each year.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the value of the car after x years. A new car costs $34,000 and its value depreciates at 14% of its value each year. Hence:
y = 34000(0.86)ˣ
After 10 years:
y = 34000(0.86)¹⁰ = 7524.25
The price of the car after 10 years is $7524.25 if the new car costs $34,000 and its value depreciates at 14% of its value each year.
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The second term in a geometric system is 12. the fourth term in the same sequence is 4/3. what is the common ratio in the sequence.
Answers
Answer:
36/43 I think.
Step-by-step explanation:
Wyzant
5. a number from 1-50 is chosen at random.
what is the probability that it is a perfect
square or a multiple of 4?
8/25
3/50
2/5
9/50
Answers
Answer:3/
Step-by-step explanation:
Find the Value of z! geometry!! pls help!!! thank you :)
Answers
[tex] \frac{z + 12}{5} = \frac{3z + 3}{4} [/tex]
[tex]4(z + 12) = 5(3z + 3)[/tex]
[tex]4z + 48 = 15z + 15[/tex]
[tex]48 - 15 = 15z - 4z[/tex]
[tex]33= 11z[/tex]
[tex]z = \frac{33}{11} \\ z = 3[/tex]
Please Help Asap Please And Thank You!
Answers
Answer:
Rate of change: 4/3
Step-by-step explanation:
Number of sodas/Total cost
pick a number
24/18 = 4/3
Answer:
4/3
Step-by-step explanation:
Rate of change is also known as slope.
To find slope, you have to find the change in y divided by the change in x.
y2-y1 / x2-x1
The variable y in this situation is the number of sodas.
The variable x in this situation is the total cost.
28 - 24 / 21 - 18
= 4 / 3
The rate of change in this problem is 4/3.
00
What is the volume of the following rectangular prism?
2
units
Volume=
27
5
units2
units
Answers
The volume of the rectangular prism is 27/2 square units
How to determine the volume?The volume is calculated as:
Volume = Base area * Height
This gives
Volume = 27/5 * 5/2
Evaluate the product
Volume = 27/2
Hence, the volume of the rectangular prism is 27/2 square units
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Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.
A 2-column table with 4 rows. Column 1 is labeled Transaction with entries groceries, credit card bill, deposit, gas. Column 2 is labeled Amount with entries negative 25.37, negative 50, 163.75, negative 13.27.
What was Richard’s account balance at the end of the week?
$
Answers
Richard’s account balance at the end of the week is $ 132.45
What is Account Balance ?The amount of money in a person's bank account is called the account balance of that person
It is given that
Account balance of Richard’s at the beginning of the week = $57.34
Deposits in the week : $ 163.75
Expenses in the week : Groceries + Credit card bill + Gas
Total Expenses in the week = 25.37 + 50 + 13.27
= $ 88.64
The Richard’s account balance at the end of the week = Account Balance +Total Deposits - Total Withdrawals
= 57.34 + 163.75 - 88.64
Therefore , Richard’s account balance at the end of the week is $ 132.45.
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Please help, i can't figure this out. I'll give a brainliest, but i really need help with how to solve this.
Answers
The required linear equation is given by y=10x + 15
The data collected by Harvard Business School plots the linear relationship of business startup success vs. Time.
The statistic is the study of mathematics which deal with relations between comprehensive data.
As clearly, points represents on graph startup success vs Time
part of a straight line
so we take two points on graph at (1,25), (2,35)
now equation of line
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
= [tex]y-25=\frac{35-25}{2-1} (x-1)[/tex]
[tex]y=10x+15[/tex]
Thus, The required expression is given by y=10x + 15 which show the relation ship between startup success Vs time
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Solve the system of linear equations.
y=−16x+5
x+6y=30
Answers
- Please see the attached picture for full sol^! :)
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