Answer: The required value of x is -4.
Step-by-step explanation: We are given to find the value of x if :
Since both the equations (i) and (ii) are the values of x, so comparing the equations, we get
Thus, the required value of x is -4.
b. 3x^2 - 2x + 1
c. -3x^2 + 2x - 1
d. 3x^2 2x - 1
Answer:
In Honolulu it be more unusual to have a day in January with a high of 57°F
Step-by-step explanation:
Given,
The average high temperature in Anchorage, Alaska,
= 21° F,
Having standard deviation,
= 10°,
Thus, the z-score for the high temperature of 57° F in alaska,
By the z-score table the probability of the high temperature of 57°F in Alaska = 0.99984 = 99.984 %
Now, the average high temperature in Honolulu is,
Having standard deviation,
Thus, the z-score for the high temperature of 57° F in Honolulu,
By the z-score table the probability of the high temperature of 57° in Honolulu = 0.00205 = 0.205 %
Since, a probability is unusual if it is less than 5 %,
Hence, In Honolulu it be more unusual to have a day in January with a high of 57°F.
Answer:
a=6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 + 64= 100
a^2 +64-64 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
Answer:
a = 6
Step-by-step explanation:
According to the question,
Using Pythagorean theorem
( a )² + ( b )² = ( c )²
( a )² + ( 8 )² = ( 10 )²
evaluate the exponent
a ² + 64 = 100
subtract 64 from each side
a ² + 64 - 64 = 100 - 64
a ² = 36
Take the square root of each side
√a² = √36
a = 6
X
(-1,-5)
What is the y-intercept of this graphed line?
PLEASE HELP!!!!!!
To find the y-intercept of the given linear function, first, the slope of the function is calculated using the provided points. Then, the slope and one pair of coordinates are substituted into the y = mx + b equation to solve for 'b', which is the y-intercept.
In mathematics, specifically in the context of linear functions, the y-intercept is the point at which the line crosses the y-axis. From the provided points, however, it's not immediately clear what the y-intercept is.
To find the y-intercept, we need to determine the line's equation first. The equation of a line can be represented in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), substituting the given points. After calculating the slope, we can plug one pair of the given coordinates into the equation y = mx + b, and solve for 'b', which gives us the y-intercept.
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