All categories

3 years ago

Help ASAP please!!!

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

In order to find this, you need to find the difference between the price. Take 2.89 and subtract it by 2.82. You should now have .07. Next, take the .07 and divide by the original number(2.89). Your answer is .02422, or 2.4%

You might be interested in

Substitution:<br><br> y=6x+11<br><br>y-4x=15

german

Answer:

x=2

Step-by-step explanation:

6x+11-4x=15

2x+11=15

2x=4

x=2

4 0

3 years ago

A company has 50 employees all working in the same building.

balandron [24]

Yes it did because 90% of fifty is 45 (50 divided by 10 x 5) and the graph shows that 46 employees left the building within a minute

6 0

3 years ago

What are the two solutions of 2x^2 = -X^2 - 5x - 1?

Sidana [21]

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

6 0

3 years ago

The cost of a stove to a store owner was $500, and she sold the stove for $1080. What was her percent of profit based on cost?

Juliette [100K]

Answer:

116%

Step-by-step explanation:

Cost Price (C. P.) = $500

Selling Price (S. P.) = $1080

Profit = SP - CP = $1080 - $500 = $580

Profit percent

$= \frac{Profit}{CP} \times 100 \\ \\ = \frac{580}{500} \times 100 \\ \\ = \frac{580}{5} \\ \\ = 116 \%$

3 0

3 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

2 years ago