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Anettt [7]
3 years ago
9

What is the vertex form for y=-3x^2+30x+7

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0
X=-1/29 it’s divided the 1 /29
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The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Hoochie [10]

Given :

  • The Perimeter of the rectangle is 60 cm
  • The ratio of the length to the width is 3:2.

To Find :

  • The Length and width of the rectangle .

⠀

Solution :

We know that,

\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

⠀

Now, Substituting the given values in the formula :

\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}

\qquad \dashrightarrow{ \sf{2(6x)= 60}}

\qquad \dashrightarrow{ \sf{12x= 60}}

\qquad \dashrightarrow{ \sf{x=  \dfrac{60}{12} }}

\qquad \dashrightarrow{ \bf{x= 5}}

Therefore,

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:

8 0
3 years ago
Martin finds an apartment to rent for $420 per month. He must pay a security deposit equal to one and a half months' rent. How m
algol [13]

Answer:

\text{ \$630}

Explanation:

From the question, we have it that the securit deposit is one and a half months' rent

What this means is that we will add one month rent to half of the other month at a value of $420 per month

Mathematically, we have this as:

\begin{gathered} 420\text{ + }\frac{420}{2} \\ =\text{ 420 + 210 = \$630} \end{gathered}

7 0
1 year ago
The area of the triangle below is 12 square inches. What is the length of the base?
Aloiza [94]

Answer:

b = 8 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Here A = 12 and h = 3 , then

\frac{1}{2} b × 3 = 12 , that is

1.5b = 12 ( divide both sides by 1.5 )

b = 8

4 0
3 years ago
Read 2 more answers
Drag each amount to the correct location on the expression
Norma-Jean [14]

Answer:

Average daily balance ≈ $873

Step-by-step explanation:

We are told the balance were;

$1,000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for 7 days

Thus;

Average = ΣFx/Σx

Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)

ΣFx = $26,200

Σx = 9 + 10 + 4 + 7

Σx = 30

Thus;

Average daily balance = 26200/30

Average daily balance ≈ $873

3 0
3 years ago
PLZ HELP!!!!<br><br> I got 1,3,4 but I don’t know how to get 2
Stolb23 [73]
What do you need help with? it helps us to know the question!
4 0
3 years ago
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