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Anna11 [10]
3 years ago
7

what are the slope and the y-intercept of the linear function that is represented by the equation 8x - 2y equals 5​

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:C

Step-by-step explanation:

svetoff [14.1K]3 years ago
4 0
Rewrite it in y=mx+b form.
So 8x-2y=5
-2y=-8x+5
y=4x-5/2

So the slope is m or 4.
The y intercept is b or -5/2.
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Solve for equation √-5p=√24-p
blsea [12.9K]

Answer:


Step-by-step explanation:

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p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

      -12     +     2     =     -10  

      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

                   (p+3)  •  (p-8)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 3) • (p - 8)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

Subtract  3  from both sides of the equation :  

                     p = -3

Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

                     p = 8

8 0
3 years ago
Convert 28/50to a percent
velikii [3]
The answer is 56%
You first divide 28 by 50=.56, then since it's a decimal, you move the decimal twice to the right to make a percentage=56%
3 0
3 years ago
The length if Sally's garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the dime
ololo11 [35]

Answer: So lets say that the width is w. The length(L) is 4 meters greater than 3 times the width. 3 times the width would be 3w, and then 4 meters greater than that would be 3w+4. You have two widths and two lengths to a rectangle that must add up to equal 72. So 2w + 2L =72. But remember that one L equals 3w+4

2(w) + 2(3w+4) = 72

2w+6w+8=72

8w+8=72

8w=64

w=8

L=3w+4

L=3(8)+4

L=24+4

L=28

So the dimensions are 8 meters by 28 meters

To check 2(8)+2(28)=72

6 0
3 years ago
I have to write the definitions of all of these math terms, can you help me?
EastWind [94]

Answer:

Solution of an Equation in Two Variables - Generally, a two-variable system solution is an ordered pair that makes BOTH equations valid.

Graph of an Equation in Two Variables - In the Ax + By = C form, linear equations with two variables will appear, and the resulting graph is always a straight line.

Linear Equation - Any equation that can be written in shape is a linear equation. Ax+b=0, 0.0 Where the real numbers are a and b, and x is a vector.

Linear Function - Those whose graph is a straight line are linear functions. The following form has a linear function. F(x) = y = a + bx.

I can't add a drawing right now, but I help these help!!

3 0
3 years ago
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build
Svetlanka [38]
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse 

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x 

x^2+36=100 Square each individual term 

x^2+=100+36 Subtract 36 from both sides 

x^2=64 Combine like terms 

sqrt(2)=sqrt(64) Take the square root of both sides 

x = 8 Simplify the square root 

So our answer is x = 8 
The ladder touches the 8 feet mark on the wall.
5 0
3 years ago
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