One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown belowWhich option below best describes the maximums of these two functions?
Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.
Answers
Complete the square of h(x) = -x^2 + 4x - 2:
h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.
The 2 graphs have the same max, one at x = -2 and one at x = + 2.
Answer:
Functions g and h have the same maximum of 2.
Step-by-step explanation:
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URGENT!!! What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
18 Alexis washes 10 windows in hour At this rate, how many windows can she wash in one hour?
Answers
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
Answers
The mathematical expression for the given situation is 3x-28.
The given statement is "The difference between three times a number and 28".
What is an expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Steps to convert word problem into expression:
- Understand each word used to describe the issue.
- Understand what you need to look for.
- Convert the issue into an expression.
- Give the unknown a variable (or variables) to represent it.
- Indicate exactly what the variable stands for.
Let the unknown number be x.
According to the question, the expression is 3x-28
Therefore, the mathematical expression for the given situation is 3x-28.
To learn more about an expression visit:
brainly.com/question/14083225.
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Answer:
3x-28
Step-by-step explanation:
"The difference" means subtract.
"Three times" means multiply by three.
"A number" means use any variable (I prefer x).
Answers
5x²(2x - 7) + 3x(2x - 7) - 9(2x - 7)
5x²(2x) - 5x²(7) + 3x(2x) - 3x(7) - 9(2x) + 9(7)
10x³ - 35x² + 6x² - 21x - 18x + 63
10x³ - 29x² - 39x + 63
2.Clayton started driving at 3:00 p.m., and he drove 60 miles per hour.
3.Clayton started driving at 1:30 p.m., and he drove 90 miles per hour.
4.Clayton started driving at 4:30 p.m., and he drove 90 miles per hour.
Answers
The answer is the first 1 !!
Here is how we see if it is true!
If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!
If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.
If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!
Let's solve that!
60 × 3 = 180 miles!
Clayton started driving at 1:30 pm and went 60 miles per hour.
Answers
To write this as an algebraic expression, remember that twice a number means that 2 is being multiplied by a number. Since we are not solving, we can just use the variable n to represent the number that is being multiplied by 2. Finally, adding 5 to the number we will get the expression 2n + 5.
x is the "number" that is unknown, it's what's called a variable. Because you need two times a number(x) you put a coefficient of 2 in front of it, then simply add 5.
Examples with known variable values:
2(4)+5=13
2(2)+5=9
Answers
Next, we are going to set up a right triangle using the radius of the Earth and the distance above the planet.
The hypotenuse of our triangle will be the radius of the Earth + the distance above the planet. One of the legs of our triangle will be the radius of the Earth, and the other leg,
Using the Pythagorean theorem:
We can conclude that the distance,