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pickupchik [31]
2 years ago
6

Question 9 of 10

Mathematics
1 answer:
WARRIOR [948]2 years ago
3 0

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = (x + 7)² - 9 ← is in vertex form

with h = - 7 and k = - 9

vertex = (- 7, - 9 )

You might be interested in
What times what equals seventy five
Novay_Z [31]
1*75=75
3*25=75
and
5*15=75

6 0
3 years ago
X+3y=5<br> -2x-6y=-10<br><br> Solve using elimination
RSB [31]
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton

so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3

subsituter values for x and get valuse for y

if x=2 then y=1
3 0
3 years ago
What's the numerator for the following rational<br> expression?<br> X/y + 3/y= ?/y
Fittoniya [83]

Answer:

x + 3

Step-by-step explanation:

Since we have a common denominator, we can just simply combine the numerator which is just x+3.

7 0
3 years ago
Please answer ASAP! The Fergusons decided to book the room at the price that Mrs. Ferguson was given, $2075, because it included
Alex787 [66]
So what you should do is
15% off, then add tax or
2075 times 0.85 times 1.185=2090.04 about

you can't just add and subtract percents because they are percents of different things

what he did was
he found 15% of 2075 and 18.5% of 2075 then found the difference and added to 2075 to find his total

what he should have done is
found the discounted price (15% off) then found the tax on that


first way
2075 times 0.15=311.25
2075-311.25=1763.75
1763.75 times 0.185=326.29375
1763.75-326.29375=2090.04

2nd way (easy, if you understand commutative property and stuff)
100-15=85
1+0.185=1.185
2075*0.85*1.185=2090.04


answer should be $2090.04
7 0
3 years ago
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
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