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nata0808 [166]
3 years ago
12

Write in standard form. y=-(x-3)^2+2

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

y=x2+6x+9+2=x2+6x+11

Step-by-step explanation:

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There is 300 fruit in a basket 50 of them are bananas what percentage is not bananas
scoray [572]

Answer:

83.33%

Step-by-step explanation:

300 - 50 = 250

250/300 = 0.8333 or 83.33%

5 0
2 years ago
Which of the following expressions is equivalent to a3 + b3?
lubasha [3.4K]
ANSWER
{a}^{3}  + {b}^{3} = (a + b)( {a}^{2 }  - ab +  {b}^{2} )


EXPLANATION

To find the expression that is equivalent to
{a}^{3}  + {b}^{3}
we must first expand
{(a + b)}^{3}
Then we rearrange to find the required expression.


So let's get started.


{(a + b)}^{3}  = (a + b) {(a + b)}^{2}

We expand the parenthesis on the right hand side to get,



{(a + b)}^{3}  = (a + b) ( {a}^{2} + 2ab +  {b}^{2}  )



We expand again to obtain,

{(a + b)}^{3}  =  {a}^{3}  + 3 {a}^{2}b + 3a {b}^{2}   +  {b}^{3}


Let us group the cubed terms on the right hand side to get,

{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}




{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3ab (a+ b)





We make the cubed terms the subject,

{(a + b)}^{3}  - 3ab (a+ b) =  {a}^{3}   +  {b}^{3}

We factor to get,


(a + b)({(a + b)}^{2}  - 3ab ) =  {a}^{3}   +  {b}^{3}


We expand the bracket on the left hand side to get,

(a + b)( {a}^{2}  + 2ab +  {b}^{2}   - 3ab ) =  {a}^{3}   +  {b}^{3}


We finally simplify to get,

(a + b)( {a}^{2}   - ab +  {b}^{2}  ) =  {a}^{3}   +  {b}^{3}
5 0
3 years ago
Read 2 more answers
Helppp pleaseee
Oliga [24]
B.28 Years Hope it help
7 0
3 years ago
Gloria is an artist. She sets a goal to paint 2 paintings every month. The number of paintings Gloria creates depends on the num
BartSMP [9]

Answer:

we get the all equation of given condition  M = 2P+1   &   P=2M+1Step-by-step explanation:

Given that,

Number of painting made by Gloria every month is 2.

Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.

we have to check all the apply.

According to question,

M is the independent variable and P is dependent variable.

So,   Relation formed by given statement is  M =2P

Case(1):  P is increased by 2 as M is increased by 1.

    Then,                   M+1= 2\times (P+2)

                                  M+1= 2P+2

                                       M = 2P+1

This is Equation of the given case(1).

Again, P is the independent variable and M is dependent variable.

      ∴                         P=2M

Case (2) M is increased by 2 as P increased by 1.

  Then,                P+1=2\times(M+2)

                             P+1=2M+2

                               P=2M+1

Hence,

we get the all equation of given condition  M = 2P+1   &   P=2M+1

4 0
3 years ago
Decimals from 7.0 to 8.4, with an interval of 0.2 between each pair of decimals
andrey2020 [161]
7.0, 7.2, 7.4, 7.6, 7.8, 8.0, 8.2, 8.4
4 0
3 years ago
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