PLEASE HELP!!!
The temperature in Country Y is at least 7 degrees colder than in Country X. Write an Inequality and graph it.
Solution:
Let temperature in Country Y be
y
and temperature in Country X be
.
"Temperature in Country Y is is at least 7 degrees colder than in Country X."
At least tells us that the inequality sign is
>=
and that the difference in temperature is at least 7
x-y>=7
x>=7+y
x-7>=y
y =7
in your own words.
2. What are the basic steps to be followed in graphing a two-variable linear inequality?
3. In the solution graph, why is the line
y =7
?
How can you find if a point is a solution to inequality?
Answers
Answer:
1)x-y>7
x>7+y
x-7=y
y =7
If it has to be at least 7 then 7 is less than all of them or equal to it.
2) Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. ...
Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...
Step 4: The last step is to shade one side or region of the boundary line.
3) The solution graph is y=7 because there is no possible x or x=0
you can find a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality
Hope I helped!!
Related Questions
x - 35 > 15 I cant figure this out pls help me 5 pts
Answers
Answer:
x can be anything higher than 45. For example, x can be 50. That would be 20 (or x) is greater than (>) 15.
Step-by-step explanation:
Hope this helps. If you found it useful, brainliest would be great.
The average person laughs 15 times per day.
Answers
Solve (2x – 1)2 = 9.
Question 19 options:
A)
x = –2, 1
B)
x = 2, 1
C)
x = 2, –1
D)
x = –2, –1
Answers
x
x
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2
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−
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2
⋅
1
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=
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√
9
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2
x
-
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2
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2
=
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9
Remove the perfect root factor
2
x
−
1
2
x
-
1
under the radical to solve for
x
x
.
2
x
−
1
=
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Simplify the right side of the equation.
Tap for more steps...
2
x
−
1
=
±
3
2
x
-
1
=
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3
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
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−
1
Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125
Answers
Work:
8-5=3
3/2=1.5
1.5 to the 3rd is 3.375
Put 3.375 into a fraction you get 27/8
The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.
To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:
(8-5) ÷ 2 = 3 ÷ 2.
Next, we raise this simplified expression to the third power:
(3 ÷ 2)³
To evaluate this, we cube both the numerator and denominator:
(3^3) ÷ (2³) = 27 ÷ 8.
Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.
Hence, the correct answer is option C: 27/8.
This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.
Learn more about expressions here :
brainly.com/question/21751419
#SPJ4
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answers
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
Learn more about the functions here:
brainly.com/question/12431044
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The difference of 10x and 3x is less than or equal to the sum of 4x and 21.
Answers
Answer:
«means less than or equal to
x«7
Step-by-step explanation:
10x-3x«4x+21
7x«4x+21
7x-4x«21
3x«21
divide both sides by 3
x«21/3
3 will divide 21, 7times
x«7
Mark buys a wooden board that is feet long. The cost of the board is $1.50 per 5 1/4 foot, including tax. What is the total cost, in dollars, of Mark’s board
Answers
7.5 X 0.50 = $3.75
Please help I'll give you brainliest and a lot of points
Answers
Answer:
about 50
Step-by-step explanation:
they a move up 5 minutes eace half mile
dont come at me if it is wrong :)
Find the slope of the line through each pair of points (5, 18), (15, -17)
Answers
Answer:
-3.5
Step-by-step explanation:
Slope of the line
[tex] = \frac{ - 17 - 18}{15 - 5} = \frac{ - 35}{10} = - 3.5 \\ [/tex]
Tell whether the angles are adjacent or vertical. Then find the value of x. x =?
Answers
Answer:
The triangle of the 360 squared by the square
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?
Answers
Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
50 L * 10/100 = 5 LAhora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.
Expresamos x en términos de y:
x + y = 50x = 50 - yReemplazamos x en la segunda ecuación:
(50-y)*5/100 + y*25/100 = 5Y despejamos y:
2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5Usando ese valor de y, calculamos x:
x + 12.5 = 50x = 37.5Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8
Answers
Answer:
n-8
Step-by-step explanation:
difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.
help pleaseeeeeeeseee
Answers
Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2
Step-by-step explanation:
find the slope of the line that passes through (8,6) and (4,1).
Answers
Answer:
[tex] \frac{5}{4} [/tex]
Step-by-step explanation:
Slope [tex] = \frac{y2 - y1}{x2 - x1} [/tex]where y2=1 , y1=6 , x2=4 , x1=8.The cost of a car rental is $30per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answers
Answer:
Step-by-step explanation:
Cost ≤ per day amount + daily mileage amount. * miles
75 ≥ 30 + daily mileage amount * miles
That's as far as I can take you. Two other equations are impossible without the daily mileage amount.
I can make one up. Suppose it is 75 cents a mile
75 ≥ 30 + 0.75 * x Subtract 30 from both sides
75 - 30 ≥ 0.75*x
40 ≥ 0.75*x Divide by 0.75
40/0.75 ≥ x
53.33 miles = x
Anything more and you are going over budget. Anything less is fine.
This is enough to get you started without knowing what the rate per mile is.
6th grade math i mark as brainliest
Answers
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answers
Answer:
The inverse of the function f(x) is h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
To find the inverse of a function do these steps
Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)Let us do these steps to solve the equation
∵ f(x) = [tex]\frac{1}{4}[/tex]x - 12
→ Replace f(x) by y
∴ y = [tex]\frac{1}{4}[/tex]x - 12
→ Switch x and y
∴ x = [tex]\frac{1}{4}[/tex]y - 12
→ Add 12 to both sides
∵ x + 12 = [tex]\frac{1}{4}[/tex]y - 12 + 12
∴ x + 12 = [tex]\frac{1}{4}[/tex]y
→ Multiply each term by 4
∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)
∴ 4x + 48 = y
→ Switch the two sides
∴ y = 4x + 48
→ Replace y by h(x)
∴ h(x) = 4x + 48
∴ The inverse of the function f(x) is h(x) = 4x + 48
Answer:
h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
i just did it
Solve the equation by completing the square.
6x^2-12x-16=2
Answers
on his shelves trenton has 15 biogrophies,15 science fiction books,7 refrence books,and 11 mystery books. find the ratio of biographies to the total number of books
Answers
I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?
Answers
Answer:
35
Step-by-step explanation:
how many solutions does -2(14-12x)= -4(10-6x) have ?
Answers
Answer:
infinite
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
2x & 3x
Step-by-step explanation:
sum: 2x + 3x = 5x
product: 2x * 3x = 6[tex]x^{2}[/tex]
Find (f - g)(x)
f(x) = 3x2 – 2x
g(x) = 9x2 - X+7
A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7
Answers
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Hence, by substitution:
[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]
Distribute:
[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]
Rearrange:
[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]
Combine like terms:
[tex]=-6x^2-x-7[/tex]
Hence, our answer is A.
Answer:
Step-by-step explanation:
3x^2 - 2x - 9x^2 + x - 7
-6x^2 - x - 7
answer is A
will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5
Answers
Answer: 3x + 1
Step-by-step explanation:
A p e x
Help me boys and girls
Answers
I'm sure you already have the answers by now, and thanks for the points! I need it...
thanks for the points i hope you don't mind i will venmo
the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?
PLEASE HELP
Answers
Answer:
A. Pontiac
Step-by-step explanation:
Camry's mileage = Miles travelled / gallons of fuel used
= 196 / 11
= 17.82
Pontiacs mileage = Miles travelled / gallons of fuel used
= 220 / 13
= 16.92
Bluck's mileage = Miles travelled / gallons of fuel used
= 356 / 15
= 22.25
Toyotas mileage = Miles travelled / gallons of fuel used
= 583 / 21
= 27.76
The car with the best mileage is Pontiac
Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)
Answers
Answer:
1
Step-by-step explanation:
40 POINTS- Are a logistic equation and a logistic regression model the same thing? If not, what's the difference?
I have a logistic equation and need to make a logistic regression model from it but I'm not sure how to. Any help is appreciated :)
Answers
Answer: They are diffrent
Step-by-step explanation: The logistic equation was first published by Pierre Verhulst in 1845. This differential equation can be coupled with the initial condition P(0) = P0 to form an initial-value problem for P(t). Suppose that the initial population is small relative to the carrying capacity. Then P K is small, possibly close to zero.
The logistic regression coefficients are the coefficients b 0, b 1, b 2,... b k of the regression equation: An independent variable with a regression coefficient not significantly different from 0 (P>0.05) can be removed from the regression model (press function key F7 to repeat the logistic regression procedure).
By the way, this is copied from the internet.
Help pls guys!!!asap
Answers
Answer:
The answer is D
Step-by-step explanation:
This problem may look complex but it isn't; the variables in the "x" column represent what would be substituted for x, and y would be what the equation would equal AFTER substituting the x variable into the equation
So for example, using d's table, I would substitute -4 for x: y = -3(-4) + 2, the answer would be 14, which is in the y column. I will do the same thing using the next variable in the x column, y = -3(-2) + 2, that would equal 8, which is also in the y column, this would not serve true in any other tables.
HELPPPPPP URGENT HELP NEEDED!!!!! 1ST RESPONSE WITHJ EXPLANATION GETS BRAINLIEST!!!
Write the equation of a line going through (-3,1) and (-2,4) in point slope form using the slope you got ( I got -3 for slope) and the first point given.
Answers
Answer:
y = -3x + 10
Step-by-step explanation:
y = mx + b
plug in numbers to the equation
1 = (-3)(-3) + b
multiply the slope -3 and -3
1 = (9) + b
subtract 9 from both sides
-8 = b
Now plug in the slope and b
y = -3x - 8
Answer:
The equation I got was y= 3x + 10
Step-by-step explanation:
All you need to do is use the formula y= mx + b.