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juin [17]
3 years ago
9

The vertex form of the equation of a parabola is y = 4(x - 2)2 - 1.What is the standard form of the equation?

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
Hello,

y=4(x-2)²-1
y=4(x²-4x+4)-1

y=4x²-16x+15

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Simplify. 6 (y+13)+21y O 27y +78 O 6y + 78 O27y +13​
Veronika [31]

The simplified expression of 6(y + 13) + 21y is 27y + 78

<h3>How to simplify the expression?</h3>

The expression is given as:

6(y + 13) + 21y

Open the brackets

6 * y + 6 * 13 + 21y

Evaluate the product

6y + 78 + 21y

Collect the like terms

6y + 21y + 78

Evaluate the like terms

27y + 78

Hence, the simplified expression of 6(y + 13) + 21y is 27y + 78

Read more about simplified expressions at

brainly.com/question/723406

#SPJ1

8 0
2 years ago
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the
tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: k=\frac{y}{x}

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0
3 years ago
Is this wrong?? if it is pls help me choose the correct answer
tensa zangetsu [6.8K]
You didn’t show an image?..:(
7 0
3 years ago
Read 2 more answers
Change the given equation to Slope-Intercept Form of a Linear Equation.<br><br>3x – 7y = 35
denis-greek [22]

slope-intercept form is y = mx + b

  3x - 7y = 35
<u> -3x          -3x
</u> -7y = -3x + 35  (divide each side by -7)

 y = -3/-7x + 35/-7

y = 3/7x - 5

6 0
3 years ago
Mary and vivian have some money. if mary gave vivan $8 they would have same amount. However if vivan gives mary $8, then mary wo
kow [346]

Answer:

Money with Mary = $28

Money with Vivan = $12

Step-by-step explanation

Money with Mary = $ m

Money with Vivan = $v

If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added  to vivan amount 'v'

m - 8 = v + 8

m = v + 8 +8

m -v = 16     ----------------(I)

If vivan gives mary $8, then mary would have 9 times as much as vivan.

9(v - 8) = m + 8

9v - 72 = m + 8

9v - m = 8 + 72

-m + 9v = 80 --------------(II)

Add equation (I) and (II). Thus m  will be cancelled and we will get the value of v

(I)       m - v  = 16

(II)    <u>-m  + 9v = 80</u> {Now add}

               8v = 96

                 v = 96/8

v = $ 12

Plugin v = 12 in equation (I)

m - 12 = 16

m = 16 +12

m =$ 28

7 0
3 years ago
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