Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
Answer:
16
Step-by-step explanation:
Use the slanted height of 20ft
B. F(x) = 2x^2 + 5x - 3
C. F(x) = -x^3 + 5x2 + 7x - 1
D. F(x) = -x^3 + sq -x
E. F(x) = 3/5x^4 - 18x^3 + x^2 - 10x + 3.5
The function F(x) = 2x² + 5x – 3, F(x) = -x³ + 5x² + 7x – 1, and F(x) = 3/5x⁴ – 18x³ + x² – 10x + 3.5 are polynomial function. Then the correct options are B, C, and E.
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
If the exponent of the variable is negative and fraction, then the function is not a polynomial function.
A. F(x) = 3x⁻³ – 19, the exponent of the function is negative 3. Then the function is not a polynomial function.
B. F(x) = 2x² + 5x – 3, the exponent of the function is whole number. Then the function is a polynomial function.
C. F(x) = -x³ + 5x² + 7x – 1, the exponent of the function is whole number. Then the function is a polynomial function.
D. F(x) = -x³ + √(-x), the exponent of the function is 1/2. Then the function is not a polynomial function.
E. F(x) = 3/5x⁴ – 18x³ + x² – 10x + 3.5, the exponent of the function is whole number. Then the function is a polynomial function.
Then the correct options are B, C, and E.
More about the polynomial link is given below.
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Answer: B, C, E
Step-by-step explanation:
Answer: A. intersecting
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.
3. Therefore, the answer is the option A: Intersecting.
Answer:
A. intersecting
Step-by-step explanation:
write the equations in the from of y = mx + c
Where m = slope
c = y-intercept.
1/3x + y + 2 = 0
1/3x + y = -2
y = -1/3x - 2
1/2x + y - 5 = 0
1/2x + y = 5
y = -1/2x + 5
The equations are not parallel
-1/3x - 2 = -1/2x + 5
1/2x - 1/3x = 5 + 2
1/6x = 7
x = 7× 6/1
= 42
y = -1/3×42 -2
= -14 - 2
= -16
The equations intersect at point (42,-16)
Earnings: 10 19 28 37 46 55 64 73 82
Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!
To find out when Jordan and Jake will earn the same amount, we need to set their earnings equations equal to each other and solve for the number of hours worked. The resulting value will be the number of hours at which they both earn the same amount.
To determine the number of hours it will take for Jordan and Jake to earn the same amount of money, we need to solve an equation that sets their earnings equal to each other.
For Jordan, her earnings (EJ) are calculated as $9 per hour plus a $10 allowance. So, we write this as an equation:
EJ = 9h + 10.
Similarly, for Jake, his earnings (EJk) are calculated as $6.50 per hour plus a $15 allowance. So, his earning equation is given by:
EJk = 6.5h + 15.
To find when they earn the same, we set the two equations equal to each other:
9h + 10 = 6.5h + 15
By simplifying the equation, it results in 'h', which represents the number of hours needed for Jordan and Jake to earn the same amount of money.
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Table no 3 is representing here a non-linear function.
A nonlinear function, as its name suggests, is a function that is not linear. In other words, the graph of a nonlinear function is not a line, its graph can be anything other than a line
Since a nonlinear function is a function that is not a linear, its equation can be anything that is not of the form f(x) = ax+ b. One examples of nonlinear functions is, f(x) = x2 is nonlinear as it is a quadratic function.
The right answer is option 3.
Learn more about non-linear function, refer:
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Answer:
NUMBER3
Step-by-step explanation: