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2 years ago

Let f(x)=4x^2-2 f(t+1)

Mathematics

1 answer:

dusya [7]2 years ago

4 0

Answer:

$f(x) = 4 {x}^{2} - 2 \\ f(t + 1) = 4 {(t + 1)}^{2} - 2 \\ = 4( t + 1)(t + 1) - 2 \\ = 4( {t}^{2} + 2t + 1) - 2 \\ = 4 {t}^{2} + 8t + 4 - 2 \\ = 4 {t}^{2} + 8t + 2$

I hope I helped you^_^

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ $x+1.5\leq 5$

where $x$ represents he number of hours of television that Julia can still watch this week

On solving for $x$ , we get

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = $x$

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ $x+1.5$

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ $x+1.5\leq 5$

Solving for $x$

Subtracting both sides by 1.5

$x+1.5-1.5\leq 5-1.5$

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0

3 years ago

Find the value of x 125 155

Solnce55 [7]

The value of x is 125 degrees from the given diagram

<h3>Lines and angle</h3>

Find the diagram attached

From the diagram, we can see that line l is parallel to line m, hence we can conclude that:

x = 125 degrees (The angles are corresponding angles)

Hence the value of x is 125 degrees from the given diagram

Learn more on line geometry here: brainly.com/question/1655368

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2 years ago

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The area of a square poster is 31 square inches. find the length of one side of the poster. Explain

kobusy [5.1K]

Answer:

5.57

Step-by-step explanation:

In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation $\sqrt{a}$ . The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes $\sqrt{31}$ <em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.

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3 years ago

Which of the following statement(S) are true of the discriminant?

lana [24]

Hello from MrBillDoesMath!

Answer: A, C, D

Discussion:

The solution of the quadratic equation ax^2 + bx + c = 0 is

x = ( -b +\- (b^2 - 4ac) ^ (1/2) ) /2a

The expression b^2 - 4ac is called the discriminant, occurs in the numerator of the solution, and also occurs inside a square root (called a radicand).

The question, while intelligible, should be stated more clearly.

Regards, MrB

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2 years ago

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A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par

ElenaW [278]

The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$