All categories

3 years ago

Pls help. Can’t do this.

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Step-by-step explanation:

The equation of line A:

y-1=0, 5x-3

y=0, 5x-2. Hence its gradient is 0,5

For line B, its you intercept is -8, so y=mx-8.

When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.

Since |-2| > |0, 5|, line B is steeper than line A.

You might be interested in

If Fred feeds 12 horses for two weeks with 25 bales of hay, how many bales of hay does he need to feed 15 horses for two weeks?

Dvinal [7]

Answer:

He needs 31.25 bales of hay to feed 15 horses for two weeks

Step-by-step explanation:

This question can be solved using a rule of three.

25 bales of hay feed 12 horses. How many feed 15 horses?

12 horses - 25 bales of hay

15 horses - x bales of hay

$12x = 25*15$

$x = \frac{25*15}{12}$

$x = 31.25$

He needs 31.25 bales of hay to feed 15 horses for two weeks

7 0

3 years ago

In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students

pshichka [43]

Answer:

About 29%

Step-by-step explanation:

8 0

3 years ago

50 pts. Find the area of the shape shown below. (image included)

Ulleksa [173]

Answer:

Step-by-step explanation:

First multiply 8 by 4 to get 32. Now there is a small triangle in the bottom. Multiply 4 by 2 to get 8. Then divide 8 by 2 to get 4, the area of the triangle. Now lastly 32-4 to get 28 square units, the area.

8 0

3 years ago

Read 2 more answers

Learning Task 4. Solve the problem by applying the sum and product of roots

Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

$x^2+bx+c=0$

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

$x^2-18x+80=0$

Factoring by finding two numbers that add up to 18 and have a product of 80:

$(x-10)(x-8)=0$

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0

3 years ago

The following rational equation has denominators that contain variables. For this equation, a. Write the value or values of the

EastWind [94]

<h3>Answer:</h3>

a) x=3 and x=-6 will make the denominator terms zero, hence x may not have those values.

b) no solution

<h3>Step-by-step explanation:</h3>

The left side can be written over a common denominator so as to make the equation be ...

((x+6) -3(x-3))/((x-3)(x+6)) = 9/((x -3)(x +6))

(-2x +15)/((x -3)(x +6)) = 9/((x -3)(x +6)) . . . . simplify

-2(x -3)/((x -3)(x +6)) = 0 . . . . . . . . . . . . . . . . subtract the right side

-2/(x+6) = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . cancel factors of (x -3)

This equation has no solution. (There is no value of x that will make -2 = 0.)

_____

<em>Comment on denominator zeros</em>

After you've seen a few instances of the equation

x + c = 0

it doesn't take long for you to recognize that the solution is ...

x = -c

That is, when a denominator factor is (x+c), the corresponding value of x that makes this factor zero is x = -c. So, a denominator factor of x+c means the domain must exclude x = -c.

Knowing this, we can write the restrictions on a rational function "by inspection" without having to do anything except mental pattern matching.

_____

<em>Comment on the solution method</em>

By rewriting the rational equation to be something of the form (a/b) = 0, we have the opportunity, as here, to cancel factors that would otherwise result in extraneous solutions. Then, we don't have to be concerned with whether or not the solutions found are extraneous.

3 0

3 years ago