Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?

Answers

Answer 1

Answer:

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation:

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How do you combine like terms of #-10+7x+24-2x#?

Answers

You should first add -10 and 24. Then you should subtract 7x and 2x. All you have to do is to find the like terms ( 7x and 2x because they both have x’s, and -10 and 24 because they don’t have x’s). So your answer would be 14+5x. If you have any questions please reply.

Test yourself 215) if f''(x)=6x+6 and there is a stationary point at (0,3), find the equation of the curve

Answers

Ok, so dy/dx=0 at the point (0,3) that is where x=0 and y=3.

$\int { 6x+6dx } \n \n =\frac { 6{ x }^( 2 ) }{ 2 } +6x+C\n \n =3{ x }^( 2 )+6x+C$

$\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x+C$

Now, f'(x)=0 when x=0.

Therefore:

$0=C\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x$

Now:

$\int { 3{ x }^( 2 ) } +6xdx\n \n =\frac { 3{ x }^( 3 ) }{ 3 } +\frac { 6x^( 2 ) }{ 2 } +C$

$={ x }^( 3 )+3{ x }^( 2 )+C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+C$

But when x=0, y=3, therefore:

$3=C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+3$

$f''(x)=6x+6\nf'(x)=\int 6x+6\, dx\nf'(x)=3x^2+6x+C\n\n0=3\cdot0^2+6\cdot0+C\n0=C\nf'(x)=3x^2+6x\n\nf(x)=\int 3x^2+6x\, dx\nf(x)=x^3+3x^2+C\n\n3=0^3+3\cdot0^2+C\n3=C\n\n\boxed{f(x)=x^3+3x^2+3}$

0.0032 in standard form

Answers

0.0032 = 3.2 x 10^-3
The power is a minus as the decimal point had to move right.
Hope that helps you!

Drag each label to the correct location on the graph.The graph represents the viewing trends of a reality show. Match each phrase to the section of the graph it describes.

Answers

The options can be arranged in the following manner:

0 to 1 is decreases slowly,

1 to 2 is increases quickly,

2 to 3 is decreases quickly,

3 to 4 is increases slowly.

As we know there are four trends which can be classified as:

1. Increasing Trend (Upward trend)

a. Increasing quickly

b. Increasing slowly

2. Decreasing Trend (Downward trend)

a. Decreasing quickly

b. Decreasing slowly

Now, compare the two increasing trends and the two decreasing trends with each other. Further, see which of the two is fast and slow. The one with the greater slope is the fast trend and the one with the lower slope is the one with the slow trend.

Hence, the options can be arranged in the following manner:

0 to 1 is decreases slowly,

1 to 2 is increases quickly,

2 to 3 is decreases quickly,

3 to 4 is increases slowly.

To know more visit:

brainly.com/question/3605446

The labels for the 4 trends are; decreases slowly, increases fastly, decreases fastly and increases slowly respectively.

Explanation:

First, we need to identify how many trends there are i.e. upward (increasing )trends and downward (decreasing )trends. In the given graph, there are two upward trends and two downward trends.
Next, we need to compare the two increasing trends and the two decreasing trends with each other. By doing so, we need to see which of the two is fast and slow. The one with the greater slope is the fast trend and the one with the lower slope is the one with the slow trend.
In the given trend the first trend is the decreasing slowly trend, the third trend is decreasing fastly. The second trend is increasing fastly and the fourth trend is increasing slowly.

GRADE 10 MATH QUESTIONThe city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)

Answers

Answer:

the shortest route is from cabin site to B

Step-by-step explanation:

see my attachment

Answer:

answer is b

Step-by-step explanation:

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?The discriminant is equal to −16, which means the equation has no real number solutions.
The discriminant is equal to −16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.

Answers

For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions.

The correct option regarding the discriminant of the quadratic equation is given by:

The discriminant is equal to −16, which means the equation has no real number solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , and it is a perfect square, it has 2 rational solutions.

If $\mathbf{\Delta > 0}$ , and it is not a perfect square, it has 2 irrational solutions.

If $\mathbf{\Delta = 0}$ , it has 1 rational solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

In this problem, we have that:

5x² - 2x = -1

5x² - 2x + 1 = 0

Hence the coefficients are a = 5, b = -2 and c = 1, while the discriminant is given by:

$\Delta = b^2 - 4ac = (-2)^2 - 4(5)(1) = -16$

No real solutions, hence the first option is correct.

More can be learned about the discriminant of quadratic equations at brainly.com/question/19776811

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