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andrew-mc [135]
3 years ago
7

Express the relationship between x + 2 and -2x + 8 as a single equation​

Mathematics
1 answer:
aksik [14]3 years ago
6 0

Answer:

=    -2x^2 +4x+ 16

Step-by-step explanation:

From the given equation:

(x+ 2 ) \   and  \  (-2x +8)

As a single equation, we have:

= (x + 2)  \ \times  \ ( -2x + 8) \  = 0

open brackets

\implies    -2x^2 +8x +(-4x) + 16

=    -2x^2 +4x+ 16

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Write an equation for the line described in standard form with x-intercept 4 and y-intercept 5
stealth61 [152]

Answer:

Equation( \frac{5}{4}) x  + y = 5 is in the standard dorm.

Step-by-step explanation:

Here, the x - intercept = 4 , so ( 4,0) is a point on the line.

and the y - intercept = 5, so ( 0,5) is a point on the line.

So, the slope of the equation is given as  =  \frac{y_2 - y_1}{x_2-x_1 }  = \frac{5 -0}{0-4}  = -\frac{5}{4}

Now, the SLOPE INTERCEPT FORM of an equation is :

y  = mx + b: here m  = slope and b =  y- intercept

or, y =-( \frac{5}{4}) x + 5

Now, standard form is Ax +By = C

So, the standard form is ( \frac{5}{4}) x  + y = 5

Hence, the above equation ( \frac{5}{4}) x  + y = 5

is in the standard dorm.

4 0
3 years ago
Eight children were in a ballet class. Three of them were wearing a pink leotard. What fraction of them did not have a pink leot
leva [86]

Answer:

5/8

Step-by-step explanation:

8 children in class

3 have pink on

8-3 = 5

That means 5 do not have pink

Fraction that do not have pink

those that do not have pink/total

5/8

5 0
3 years ago
Quantity of Jackets Price (in whole dollars) Total Revenue Marginal Revenue Total Cost Marginal Cost Profit (or loss) 0 20 1 20
KonstantinChe [14]

Answer:

18 dollars

Step-by-step explanation:

Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;

Marginal cost = change in cost / change in quantity

For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows

$101 - $83 = $18

Since the change in quantity is one, our marginal cost comes to $18.

3 0
3 years ago
A number between 10 and 20 is both a foctor of 60 and<br>a multiple of 6.<br>What is the number?​
Kisachek [45]

Answer:

12

Step-by-step explanation:

List out factors of 60 =

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.

List out multiples of 6 from 10 to 20.

12 and 18.

Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.

6 0
3 years ago
66 L : 120 mL<br><br> Simplify the ratio
erastova [34]
11 L : 20 mL
I believe but that was quick mental math
5 0
3 years ago
Read 2 more answers
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