Given: 5 > x + 7. Choose the solution set.
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}
Answers
Answer:
{x | x R, x < -2}
Step-by-step explanation:
Answer:
x is less than negative 2
Step-by-step explanation:
Using the properties of addition, we move the 7 over to the five, making it negative.
This makes negative 2 because we subtract 7 from 5.
Then, we can flip the equation to understand it better, making the x in the front.
This makes the final solution x is less than -2
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The cost of 3 scarves is $47.25. What is the unit price?Thanks (this is not high school)
Answers
Answer:
Step-by-step explanation:
The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values from the given points into the formula:
m = (4 - (-8)) / (12 - (-6))
m = (4 + 8) / (12 + 6)
m = 12 / 18
m = 2/3
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).
Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:
-8 = (2/3)(-6) + b
-8 = -12/3 + b
-8 = -4 + b
b = -8 + 4
b = -4
Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
Final answer:
The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
Explanation:
The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.
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B. 0.015
C. 0.065
D. 0.15
Answers
The fraction 13/20 is equivalent to the decimal 0.65.
To convert the fraction 13/20 to a decimal, simply divide the numerator (13) by the denominator (20):
13 ÷ 20 = 0.65
Therefore, the decimal representation of the fraction 13/20 is 0.65.
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set 13/20=x/100 13x100 is 1300 divided by 20 is 65.
65/100 is 0.65 as a decimal
Answers
y = x + 1
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(−2, 3)
(3, −2)
(2, 3)
(3, 2)
Answers
y = x + 1
-x -(x +1) = -5
-x -x -1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2
y = x + 1
y = 2 + 1
y = 3
(2,3) Third Option
Answers
Answer:
25,000
Step-by-step explanation:
24,824 is read as twenty-four thousand, eight-hundred twenty-four
the first 2 is in the ten thousands position
the first 4 is in the thousands position
the 8 is in the hundreds position
the second 2 is in the tens position
the second 4 is in the ones position
If you want to round to the nearest thousand then you must refer to the digit in the hundreds position - if this number is greater than or equal to 5 then the number in the thousands place is increased by 4; otherwise the number in the thousands place remains the same
So in this case with 24,824 the '8' is greater than 5; therefore, the 4 becomes a 5 and the answer is 25,000
Answers
7 × 24 = 8x
168 = 8x
Divide both sides by 8 to isolate x
8 and 8 cancels out
21 = x