Simplify the expression: (4x2 - 3x + 1) - (3x2 - 5x + 4)

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

Learn more about lake here-

brainly.com/question/24386402

#SPJ1

complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Step-by-step explanation:

ABCD is a rectangle.

so, it has 2 pairs of equal and parallel sides.

all 4 angles are 90°.

both diagonals are equally long and intersect each other at their midpoint. so, all 4 half-diagonal segments are equally long.

(1)

2x + 4y = 4x - y = 36/2 = 18 cm

we can split this into 2 equations

2x + 4y = 4x - y

5y = 2x

x = 5y/2

and e.g.

4x - y = 18

now we use the first equation in the second

4(5y/2) - y = 18

20y/2 - y = 18

10y - y = 18

9y = 18

y = 2

x = 5y/2 = 5×2/2 = 5

(2)

I cannot draw here, but the shortest distance between a point and a line is always a height (a line segment from the point meeting it intersecting the line at a right angle, 90°).

(3)

e.g.

AE, AD/2 and the drawn height from E to AD create a right-angled triangle.

we know AD/2 = 15 cm

from (1) we know AE = 4x - y = 4×5 - 2 = 20 - 2 = 18 cm.

the height E to AD we get via Pythagoras

AE² = (AD/2)² + height²

height² = AE² - (AD/2)² = 18² - 15² = 324 - 225 = 99

height = sqrt(99) = sqrt(9×11) = 3×sqrt(11)

remember trigonometry ?

this height = sin(theta) × AE

sin(theta) = height / AE = 3×sqrt(11) / 18 = sqrt(11)/6 =

= 0.552770798...

theta = 33.55730976...° ≈ 34°

(4)

the diagonals of a square bisect the angles of the square, so that theta would become 90/2 = 45°.

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

Answer:

m

Step-by-step explanation:

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

To learn more about the cost amount from the given link

https://brainly.com/question/25811981

#SPJ1

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

For more such questions graph,Click on

https://brainly.com/question/19040584

#SPJ8

Step-by-step explanation:

Not yet sure how to do this other than graphically....

.88893 ~ = x

Answer:

The original price of the sweatshirt was $127.50

Step-by-step explanation:

$40.80 / .32(32%) = $127.50

Answer:

Solution

verified

Verified by Toppr

It is given that

Present population (P) = 15625

Rate of increase (r) = 4% p.a.

Period (n) = 3 years

We know that

Population after 3 years = P(1+r/100)

n

Substituting the values

= 15625(1+4/100)

3

By further calculation

= 15625×26/25×26/25×26/25

=17576

So the increase = 17576−15625=1951

Step-by-step explanation:

purple you

Answer:17

Step-by-step explanation:

5w + 2

5(3) + 2

15 + 2

17

Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

For more such information on: quadratic function

https://brainly.com/question/29293854

#SPJ8

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.

A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.

Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.

by the question.

let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:

\(f(x) = (1.20x) + 2\)

In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.

We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:

\(g(x) = 1.20x\)

\(h(x) = x + 2\)

Using function composition, we can write the function for the worker's new hourly wage as:

\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)

To learn more about function:

https://brainly.com/question/21145944

#SPJ1

y = (-3/2)x - 1

================================================

Explanation:

The general slope intercept form is y = mx+b

The slope of the original line in the graph is m = 2/3. Flip the fraction and flip the sign to get -3/2 as the perpendicular slope. The original slope and perpendicular slope multiply to -1.

Since the perpendicular slope is -3/2, this narrows the choices between B and D.

We'll plug this perpendicular slope as the new m value, along with the coordinates of the point (-2,2). Then we solve for the y intercept b value.

So,

y = mx+b

2 = (-3/2)*(-2) + b

2 = -1.5*(-2) + b

2 = 3 + b

2-3 = b

-1 = b

b = -1

With m = -3/2 and b = -1, we have the final answer y = (-3/2)x-1 which is choice B

Side notes:

Answer: $11.60

Step-by-step explanation: Since ur finding the cost of one cd and she bought 6 and since is before tax you do 36.90/(divided by) 6 and boom #!

Answer:

2/6 equals 0.3333333333333 and many more threes

Step-by-step explanation:

The sets of figures shown are debits and credits into Henry's account. The Credit entry means money has been added (+) and the debit entry means money had been deducted (-).

This is shown as follows;

Opening balance - 200

Deposits - 175

Lunch expense - 15

Lunch expense - 15

Loan to brother - 85

Therefore, Henry's balance on saturday was $260

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Yes, it is a solution because inserting 8 into the equation gives you 13.

Step-by-step explanation:

1/2(8) + 9 = 13

4 + 9 = 13

13 = 13

Answer:

From SOHCAHTOA

Sin60 = 9/y

y= 9/sin60

y=10.39 ~ 10.4

Again

From SOCAHTOA

Tan60= 9/x

x= 9/tan60

x=5.19 ~ 5.2.

The solution to the trigonometric equation in the interval is given by:

\(x = \frac{\pi}{4}\)

In this problem, the equation is given by:

\(\frac{1}{\sin{\theta}} = 2\cos{\theta}\)

Applying cross multiplication, we have that:

\(2\sin{\theta}\cos{\theta} = 1\)

Applying a trigonometric identity, we have that:

\(\sin{2x} = 1\)

We have that on the interval [0, 2π), \(\sin{\left(\frac{\pi}{2}\right)} = 1\)

Hence:

\(\sin{2x} = 1\)

\(\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}\)

\(2x = \frac{\pi}{2}\)

\(x = \frac{\pi}{4}\)

For \(\frac{3\pi}{4}\), we have that:

\(\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1\)

Hence only the first solution is correct.

More can be learned about trigonometric equations at https://brainly.com/question/24680641

The equation for the value of x will be 11/C.

According to the question,

We have the following equation:

Cx — 4 = 7

Now, we can easily find the value of x from this equation by following the given steps.

We will first add 4 on both sides of the equation:

Cx = 7+4

Adding the two numbers on the right hand side:

Cx = 11

Dividing by C on both sides of the equation:

x = 11/C

(More to know: we can now find the value of x if the value of C is given.)

Hence, the equation for the value of x will be 11/C.

To know more about equation here

https://brainly.com/question/3162971

#SPJ1