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inessss [21]
3 years ago
11

Find the solutions if any

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

the correct answer is ( b )

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Simplify the following expression completely, where x is greater than or equal too 0.
Dennis_Churaev [7]
First you want the numbers under the radical to be the same so you can combine like terms.

x \sqrt{5xy^4} =x \sqrt{5x*^4y} = xy^2 \sqrt{5x}
\sqrt{405x^3y^4} =  \sqrt{5x*81x^2y^4} =9xy^2 \sqrt{5x}
\sqrt{80x^3y^4} =  \sqrt{5x*16x^2y^4} = 4xy^2 \sqrt{5x}

Now add together to get 14xy^2 \sqrt{5x}
7 0
3 years ago
Read 2 more answers
A college is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 440 f
NARA [144]

Let x represent side opposite to highway and y represent other two opposite sides as shown in the diagram.

The perimeter of the parking lot will be sum of 3 sides that is x+y+y=x+2y.

We have been given that the plan is to use 440 feet of fencing to fence off the other three sides. This means that perimeter of 3 sides is 440.

x+2y=440

x=440-2y

We know that area of rectangle is length times width, so area of parking lot will be A=x\cdot y

Upon substituting value of x, we will get:

A(y)=(440-2y)\cdot y

A(y)=440y-2y^2

Now we will find the derivative of area function as:

A'(y)=\frac{d}{dy}(440y)-\frac{d}{dy}(2y^2)

A'(y)=440-4y

Let us find critical point by equating derivative to 0.

440-4y=0

440=4y

\frac{440}{4}=\frac{4y}{4}

110=y

Now we will substitute this value is equation x=440-2y to solve for x as:

x=440-2(110)

x=440-220=220

Therefore, the dimensions of 220 feet by 110 feet will enclose the maximum area.

3 0
3 years ago
Find the discriminant and determine the number of real roots for each equation. Show steps.
Iteru [2.4K]

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots

5 0
3 years ago
A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their l
ale4655 [162]
To find the median you list out all the numbers and find the middle.

80, 90, 100

With angie getting 75, it goes from "80, 90, 100" to "75, 80, 90, 100"

This changes the median from 90 to 85. 

Mean is the average of all the numbers. The average of the first set of numbers (Found by adding all of the numbers up and dividing by the amount of numbers present) is 90.

The mean of the second set is 86.25

The answer would be A, both the mean and median will decrease.
5 0
4 years ago
Read 2 more answers
Find the slope and y-intercept of the line represented by the table.<br> .<br> Please help me
Brilliant_brown [7]

Step-by-step explanation:

I cant see the question but use the formula

y=mx+b

m=slope

b=y-intercept

you can also use the equation

y2-y1/x2-x1 to find slope.

since its a table, you can plug the x (input) and y (output) coordinates of the table to find the slope.

8 0
3 years ago
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