To solve the inequality 2x - 10 ≤ 3, we want to isolate x on one side of the inequality symbol.
First, we add 10 to both sides of the inequality:
2x - 10 + 10 ≤ 3 + 10
2x ≤ 13
Next, we divide both sides of the inequality by 2 to solve for x:
2x/2 ≤ 13/2
x ≤ 6.5
Therefore, the solution to the inequality is x ≤ 6.5.
Solve the following inequality. [Click Here for help Video]
2x−10≤3
(10 points)
x≤
11 answers
Write an equation from slope-intercept form ( y=mx+b
) from the table below. [Click Here for Help Video.]
x y
0 9
2 5
4 1
6 -3
(10 points)
The equation of the table should be: y=
x+
Skip to navigation
) from the table below. [Click Here for Help Video.]
x y
0 9
2 5
4 1
6 -3
(10 points)
The equation of the table should be: y=
x+
Skip to navigation
To find the equation in slope-intercept form (y = mx + b), we need to determine the values of the slope (m) and the y-intercept (b).
To find the slope, we can use the formula:
m = (change in y) / (change in x)
From the given table, we can calculate the change in y and change in x between two points:
For the points (0, 9) and (2, 5):
(change in y) = 5 - 9 = -4
(change in x) = 2 - 0 = 2
So, the slope (m) can be calculated as:
m = (-4) / 2 = -2
To find the y-intercept (b), we can choose any point from the table. Let's use the point (0, 9).
Now, we have the slope (m = -2) and a point (0, 9). We can substitute these values into the slope-intercept form equation (y = mx + b):
y = -2x + b
Substituting the coordinates (0, 9) into the equation:
9 = -2(0) + b
9 = b
Therefore, the equation in slope-intercept form that represents the given table is:
y = -2x + 9.
To find the slope, we can use the formula:
m = (change in y) / (change in x)
From the given table, we can calculate the change in y and change in x between two points:
For the points (0, 9) and (2, 5):
(change in y) = 5 - 9 = -4
(change in x) = 2 - 0 = 2
So, the slope (m) can be calculated as:
m = (-4) / 2 = -2
To find the y-intercept (b), we can choose any point from the table. Let's use the point (0, 9).
Now, we have the slope (m = -2) and a point (0, 9). We can substitute these values into the slope-intercept form equation (y = mx + b):
y = -2x + b
Substituting the coordinates (0, 9) into the equation:
9 = -2(0) + b
9 = b
Therefore, the equation in slope-intercept form that represents the given table is:
y = -2x + 9.
Find the missing value that makes the equation true: 6−5×6?=610
[Click Here for Help Video](10 points)
The "?" symbol in the equation should be:
[Click Here for Help Video](10 points)
The "?" symbol in the equation should be:
To find the missing value in the equation 6 - 5 × 6 ? = 610, we need to determine the value that can replace the "?" to make the equation true.
First, let's simplify the equation:
6 - 5 × 6 ? = 610
6 - 30 ? = 610
Next, we want to isolate the "?" on one side of the equation. Since we have "6" on the other side, we need to subtract "6" from both sides:
6 - 30 - 6 ? = 610 - 6
-24 ? = 604
To solve for "?", we divide both sides of the equation by "-24":
-24 ? / -24 = 604 / -24
? = -25
Therefore, the missing value that makes the equation true is "? = -25".
First, let's simplify the equation:
6 - 5 × 6 ? = 610
6 - 30 ? = 610
Next, we want to isolate the "?" on one side of the equation. Since we have "6" on the other side, we need to subtract "6" from both sides:
6 - 30 - 6 ? = 610 - 6
-24 ? = 604
To solve for "?", we divide both sides of the equation by "-24":
-24 ? / -24 = 604 / -24
? = -25
Therefore, the missing value that makes the equation true is "? = -25".
6^-5*6^?=6^10
To solve the equation 6^(-5) * 6^? = 6^10, we can use the properties of exponents.
First, let's simplify the left side of the equation:
6^(-5) * 6^? = 6^(10)
Since the bases (6) are the same on both sides, we can combine the exponents on the left side by using the exponent rule for multiplication: a^m * a^n = a^(m + n).
So we have:
6^(-5 + ?) = 6^(10)
To have the same base on both sides, the exponent on the left side must equal the exponent on the right side. Therefore:
-5 + ? = 10
To solve for ?, we isolate the variable by adding 5 to both sides:
-5 + 5 + ? = 10 + 5
? = 15
Therefore, the missing value that makes the equation true is "? = 15".
First, let's simplify the left side of the equation:
6^(-5) * 6^? = 6^(10)
Since the bases (6) are the same on both sides, we can combine the exponents on the left side by using the exponent rule for multiplication: a^m * a^n = a^(m + n).
So we have:
6^(-5 + ?) = 6^(10)
To have the same base on both sides, the exponent on the left side must equal the exponent on the right side. Therefore:
-5 + ? = 10
To solve for ?, we isolate the variable by adding 5 to both sides:
-5 + 5 + ? = 10 + 5
? = 15
Therefore, the missing value that makes the equation true is "? = 15".
Write in Scientific Notation 49,700,000 [Click Here for Help Video.]
Be sure to use a multiplicative " ×
" symbol from the pop-up. As in the times symbol in grey next to the "6" key on the pop-up.
(10 points)
The number in scientific notation is:
Be sure to use a multiplicative " ×
" symbol from the pop-up. As in the times symbol in grey next to the "6" key on the pop-up.
(10 points)
The number in scientific notation is:
49,700,000 can be written in scientific notation as 4.97 × 10^7.
Write the following number in Scientific Notation 0.000023 [Click Here for Help Video.]
Be sure to use a multiplicative "×
" symbol from the pop-up. As in the times symbol in grey next to the "6" key on the pop-up.
(10 points)
The number in scientific notation is:
Be sure to use a multiplicative "×
" symbol from the pop-up. As in the times symbol in grey next to the "6" key on the pop-up.
(10 points)
The number in scientific notation is:
0.000023 can be written in scientific notation as 2.3 × 10^-5.