What is the value for ƒ(x) = 42x - 100 when x = 2 ?
Answers
f(2)=84-100
f(2)=-16
Answer:
-16
Step-by-step explanation:
We are given that a function
We have to find the value of given function at x=2
To find the value of function at x=2 we will substitute x=2 in given function.
Substitute x=2 in given function
Then, we get
Using multiplication property of integer
Subtraction property of integers
Hence, the value of function at x=2 =-16
Related Questions
The equations 6x + 5y = 300 and 3x + 7y = 285 represent themoney collected from selling gift baskets in a school fundraisingevent. If x represents the cost for each snack gift basket andy represents the cost for each chocolate gift basket, what is the costfor each chocolate gift basket?(1) $20 (3) $30(2) $25 (4) $54
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.
Write 6,730,000 in scientific notation
Solve logarithm equation please with steps.
Answers
Perimeter of the figure PQR is 91.42 cm.
What is Perimeter?
Perimeter of a straight sided figures or objects is the total length of it's boundary
Given figure PQR consists of an equilateral triangle and a semicircle.
Length of side of an equilateral triangle = 20 cm
Perimeter of equilateral triangle = sum of the length of three sides
Perimeter = 3 × 20 = 60 cm
Now circumference of a circle = 2πr, where r is the radius.
Here there is a semicircle, which is the half of the circle.
Circumference of semicircle = 2πr / 2 = πr
Here Diameter = 20 cm
Radius = 20 / 2 = 10 cm
Perimeter of semicircle = 10π = 31.42 cm
Total perimeter = 60 cm + 31.42 cm = 91.42 cm
Hence the total perimeter is 91.42 cm.
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Answers
Given:
Given that the two sides of the triangle are x, 4.0 and 5.6
We need to determine the range of possible sizes for the side x.
Range of x:
The range of x can be determined using the triangle inequality theorem.
The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".
Thus, applying the theorem, we have;
Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".
Thus, we have;
Thus, the range of possible values for x are
Final answer:
In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.
Explanation:
In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.
Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.
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Answers
A function is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.
The missing word is the function.
Point to remember:
The definition says that two values of x(independent variable ) may correspond to one value of y(dependent variable) but the vice versa is not true( means two values of y(dependent variable ) does not correspond to one value of x(independent variable) ). This explanation is very powerful tool to check that whether a relation is a function or not.
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Answers
Answers
The diagonal section of a cube is a rectangle with sides a and x, where a is the edge of the cube, and x is a diagonal of a side of the cube. Therefore, the area of a diagonal section (A) is:
A = a * x
Now, a = ? and x = ?, but we know that the side of the cube is square and its diagonal is x = a√2.
So, we have:
A = 36√2
a = ?
x = a√2
Let's substitute all parameters in the formula for the area:
A = a * x
36√2 = a * a√2
Divide both sides by √2:
36 = a * a
36 = a²
⇒ a =√36 = 6
The diagonal of the cube can be calculated by using the formula: d = a√3
Since a = 6, then:d = 6√3
Therefore, the edge of the cube is 6 and the diagonal of the cube is 6√3.
a host
a facilitator
a reader
Answers
A facilitator is a person who facilitates discussions. He/she plays a neutral in any discussion. The facilitator guides the group to attain their objective. He/She can use different tools to help the group achieve their goals.
Answer:
a facilitator
Step-by-step explanation: