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lesantik [10]
1 year ago
7

Write each equation in slope intercept form x+7y=48

Mathematics
1 answer:
Elan Coil [88]1 year ago
3 0

Answer:

y=-1/7+48/7

Step-by-step explanation:

You want to isolate the Y so you subtract the x to the other side.

Next you divide both numbers on the right hand side by 7 and that gives you

y=-1/7+48/7

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PLEASE HELP, BEEN STUCK FOR AN HOUR
djverab [1.8K]

Answer:

Step-by-step explanation:

To sketch a quadratic function we need two things:

1)  Nature of the curve

2) Vertex

3) y-intercept

The completing square form of the quadratic equation is:

y=a(x-h)^2+k

where,

a represents the nature of the graph it can be maximum or minimum , meaning, if a > 0 then minimum(u shaped curve/happy face) and if a < 0 then maximum(n shaped curve/sad face).

h represents the x-coordinate of the vertex.

k represents the y-coordinate of the vertex.

Now if we compare g(x) with our completing square form we get the following:

g(x)=(x-4)^2+12\\y=a(x-h)^2+k\\

When we simply compare the following we get ,

a = 1 , which means a > 0 since 1 is greater than 0 the nature of the curve will be minimum(happy face/u shaped)

h = 4, which means the x-coordinate of the vertex is 4

k = 12, which means the y-coordinate of the vertex is 12

Now we have the nature of the curve, we have the vertex now all we need is the y-intercept.

For y-intercept:

For y-intercept meaning at which point will the graph cross the y-axis(0 , y)

For that we expand the formula and turn it into the standard quadratic equation form by using the formula (a - b)^2

y=(x-4)^2+12\\y=((x)^2-2(x)(4)+(4)^2)+12\\y=x^2-8x+16+12\\y=x^2-8x+28\\

now we compare with the standard quadratic form:

y=ax^2+bx+c

here c is the y-intercept and while comparing we can see that c = 28 ,

so the curve cuts the y-axis at (0 , 28)

So we have all the three things that we need to graph our function.

So we just plot the y-intercept , the vertex , and join the dots. Just a tip draw a dotted line on the x-coordinate of the vertex because the vertex point is also called as a turning point where the graph goes in the opposite direction just like a mirror reflection. I attached 2 images you can check them out. One is handmade(i know i suck at drawing but still xD) , one is sketched by online graphing calculator.

5 0
3 years ago
The price of a cup of coffee was $2.65 yesterday. Today, the price fell to $2.30 . Find the percentage decrease. Round your answ
Semenov [28]
Percent change = change/original * 100
(2.65 - 2.30)/ 2.65    * 100
.35/2.65  * 100
13.2 % decrease
-13.2% if you need to write is as a negative
7 0
3 years ago
LOTS OF POINTS!!<br><br> answer 4-6
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

4 1x2x3 =6

5 3x4x1=12

6 2x3x2=12

Hope that help

4 0
3 years ago
Read 2 more answers
Solve the absolute value equation<br> algebraically: 3|2x - 3| + 2 = 3
kupik [55]

Answer:

3 |2x - 3|  = 1

3 |2x - 3|  = 1 \\ 6x - 9 = 1 \\ 6x = 10 \\ x =  \frac{10}{6}  = \frac{5}{3}

3 |2x - 3|  =  - 1 \\ 6x - 9 =  - 1 \\ 6x = 8 \\ x =  \frac{4}{3}

x =  \frac{5}{3} x =  \frac{4}{3}

I am sorry but I am not sure of this :(

7 0
3 years ago
Given: 2x^2+3x-5, g(x)=x+9. Find: (fg)(3)
Svetradugi [14.3K]

Answer:

264

Step-by-step explanation:

f(x)=2x^2+3x-5

g(x)=x+9

(fg)(x)=f(x) \times g(x)

\implies (fg)(x)=(2x^2+3x-5)(x+9)

(fg)(3)=(2(3)^2+3(3)-5)(3+9)

\implies (fg)(3)=22 \times 12

\implies (fg)(3)=264

8 0
2 years ago
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