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3 years ago

David saved $175 each month for the first five months and then saved $225 each month for the next five months.

2 answers:

7 0

Answer: 200
Equation: 175 × 5 + 225 × 5 ÷ 10 = 200
Explanation: to find the average, you add up all the numbers, then divide by how many numbers there are.

iVinArrow [24]3 years ago

4 0

Solve for average amount saved each month?

1st five months saved $175 each for five months.
175 x 5 = $875
2nd five months saved $225 each for five months.
225 x 5 = $1125
Add both amounts: $875 + $1125 = 2000
Divide by the number of months which was ten month worth of savings.
2000/10 = $200 average saved each month

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What is the equation of a parabola that goes through points (0,1), (-1,6), and (2,3)

zmey [24]

Answer:

$y=2x^2-3x+1$

Step-by-step explanation:

The equation of a parabola can generally be expressed in the following form:

$y=ax^2 + bx+c$ (0)

where

a, b and c are the coefficients of the second, first and zero-degree terms.

Here we know that the parabola must pass through the following points:

Point 1: (0,1)

Point 2: (-1,6)

Point 3: (2,3)

This means that we can substitute the values of x and y into eq.(0), and we get 3 equations in 3 unknown variables, a, b and c.

Using point 1:

$1=a\cdot (0)^2+b\cdot (0)+c\\\rightarrow c=1$ (1)

Using point 2:

$6=a\cdot (-1)^2 + b\cdot (-1) +c\\\rightarrow 6=a-b+c$ (2)

Using point 3:

$3=a\cdot (2)^2 + b\cdot (2)+c\\\rightarrow 3=4a+2b+c$ (3)

Substituting eq(1) into (2) we get:

$6=a-b+1\\b=a-5$

And substituting into eq(3) we find a:

$3=4a +2(a-5)+1\\3=4a+2a-10+1\\12=6a\\a=2$

And then we solve also for b:

$b=a-5=2-5=-3$

So the equation of the parabola is

$y=2x^2-3x+1$

5 0

3 years ago

Subtract -139.6 - 140.03

kobusy [5.1K]

Answer:

-279.63

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Kirti has developed formulas to help her determine the size of her rectangular flower garden each spring. If she wants to plant

Ksju [112]

Answer:

A(n) = L(n) × W(n) and $A(n)=0.5n^{2} +2n+2$

Step-by-step explanation:

We are given that the length of the rectangular garden is L and width is W.

Also, in terms of 'n',

Length is given by, L(n) = n + 2

Width is given by, W(n) = 0.5n + 1.

Now, we know that, Area of rectangle = Length × Width.

Therefore, area of Kirti's garden is given by, A(n) = L(n) × W(n).

Thus, formula of area in terms of L(n) and W(n) is A(n) = L(n) × W(n).

Moreover, as A(n) = L(n) × W(n).

i.e. A(n) = (n+2) × (0.5n+1)

i.e. $A(n)=0.5n^{2} +n+2 \times 0.5n+2$

i.e. $A(n)=0.5n^{2} +n+n+2$

i.e. $A(n)=0.5n^{2} +2n+2$

Hence, the formula for area in terms of 'n' is $A(n)=0.5n^{2} +2n+2$ .

5 0

4 years ago

What value for C will make the expression a perfect square trinomial x2-7x+c

Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

$(x-a)^{2}=x^{2}-2ax+a^{2}$

In this problem we have

$x^{2}-7x+c$

equate the equations

$x^{2}-7x+c=x^{2}-2ax+a^{2}$

we have

the following equations

$-7x=-2ax$ -----> equation A

and

$c=a^{2}$ -----> equation B

Solve the equation A

$-7x=-2ax$

$7=2a$

$a=3.5$

Solve the equation B

$c=a^{2}$

$c=3.5^{2}=12.25$

therefore

$(x-3.5)^{2}=x^{2}-7x+12.25$

The value of c is 12.25

7 0

3 years ago

Read 2 more answers

Explain the different ways you can name an angle. What

Tom [10]

Answer:

∠RST, ∠TSR, ∠S

Step-by-step explanation:

When using three letters, the middle letter must be the vertice of the angle, and the other two are the points surrounding it. You can also just use a single letter to name the angle if there is only one angle at that vertice.

3 0

3 years ago

Read 2 more answers