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2 years ago

Y= -1/2(x+10)^2+14 Find the range

Mathematics

1 answer:

Andre45 [30]2 years ago

8 0

Answer:

Step-by-step explanation:

y=-1/2(x+10)^2+14

2y=-(x+10)^2+28

(x+10)^2=28-2y

L.H.S. is positive.

so 28-2y≥0

28≥2y

or 2y≤28

or y≤ 14

Range is (-∞,14]

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Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was

Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × $\frac{n * (n+1)}{t* (t+1)}$

put here value we get

finance charge refund = 476 × $\frac{5 * (5+1)}{12* (12+1)}$

finance charge refund = 476 × $\frac{5 * (6)}{12 * (13)}$

finance charge refund = 476 × $\frac{30}{156}$

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0

2 years ago

Determine the coordinator of the point<br>of intersection of lines<br>3x-2y=13 and 2y+x+1=0

finlep [7]

Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0

=> x = -1 -2y

Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

x = -1 - 2y = -1 -2(-2) = -1+4= 3

Thus, point of intersection of line is (3,-2)

3 0

2 years ago

Will give brainliest.

In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

6 0

2 years ago

7w−(2+w)=2(3w−1)

Llana [10]

Simplify brackets

(7w - 2 - w = 2(3w - 1)

simplify 7w - 2 - w to 6w - 2

(6w - 2 = 2(3w - 1)

Expand

(6w - 2 = 6w - 2)

Since both sides are equal, there are infinitely many solutions

Answer: C) INFINITELY MANY

4 0

2 years ago

Read 2 more answers

Please help me with this

Tatiana [17]

<h2><u>Given</u> :</h2>

The given equations are :

$\longrightarrow15b + 10g = 8640 \: \: \: \: \: - (1)$

$\longrightarrow b + g = 708 \: \: \: \: \: \: - (2)$

Let's solve for g in equation (2) :

$\longrightarrow b + g = 708$

$\longrightarrow g = 708 - b \: \: \: \: \: - (3)$

now, let's plug value of g from equation (3) into equation (1) :

$\longrightarrow15b + 10g = 8640$

$\longrightarrow15b + 10(708 - b) = 8640$

$\longrightarrow15b - 10b + 7080 = 8640$

$\longrightarrow5b = 1560$

$\longrightarrow b = 312$

plugging value of b in equation (3) :

$\longrightarrow g = 708 - b$

$\longrightarrow g = 708 - 312$

$\longrightarrow g =39 6$

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

4 0

2 years ago