What is the area of length being 32 and width 24

Answers

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What is f(x) = 7x2 + 42x written in vertex form?

Answers

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

$\Rightarrow y = 7(x^2 + 6x)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2$

$\Rightarrow y = 7(x+3)^2-7\cdot 9$

$\Rightarrow y = 7(x+3)^2-63$

This is vertex form the given function.

Hello,

y=7x²+42x
==>y=7(x²+2*3*x+9)-63
==>y=7(x+3)²-63

Is (6,3) a solution to this system of equations y=3x - 3 3x - y =3

Answers

Answer:

It is not a solution

Step-by-step explanation:

Plug the point into the equations and check to see if they are true

y=3x - 3

3 = 3(6) -3

3 = 18-3

3 = 15

False

We do not need to check the other equation since this is false

20 POINT QUESTION!!Complete the equation of the linear function.

y =
x +

Answers

$A=(0,1); B=( (1)/(2), 0) \n y=ax+b \left \{ {{1=0a+b} \atop {0= (1)/(2)+b }} \right. \n \left \{ {{1=b} \atop { (1)/(2)a=-b}} \right. \n \left \{ {{b=1} \atop {a=-2}} \right. y=-2x+1$

The drama teacher is making costumes for the school play. Each costume requires 1 and 2/3 yards of material and 3/4 of a yard of ribbon. Thematerial costs $2.99 per yard and the ribbon costs 59 cents per yard.
What is the approximate cost for 2 costumes
A. $11.95
B. $5.65
C. $9.00
D. $10.90

Answers

Answer:

Step-by-step explanation:

round 2.99 and 59 cents
multiply 60 times 2
3 times 2
add

15. (a) Work out the value of 25-3

Answers

25 - 3 = 22

This is because subtraction is the operation of finding the difference between two numbers. To subtract 3 from 25, we start from 25 and count backwards 3 units.

What is the inverse operation of 102÷3=34

Answers

The answer would be 102 ÷ 34 = 3

the answer is 102÷34=3

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