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2 years ago

14

Write the Equation Parabola has a vertex at (2,5) and passes through the point (3,7)

1 answer:

spin [16.1K]2 years ago

6 0

Given a vetex (h,k) of a function parabola, the corresponding equation is:
$f(x)=a(x-h)^2+k$
With (h,k)=(2,5) we get the equation:
$f(x)=a(x-2)^2+5$
In order to find a, we use the given point (3,7) like this:
$7=a(3-2)^2+5\\7=a+5\\a=7-5=2$
The equation is then:
$f(x)=2(x-2)^2+5$

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A group of fitness club members lose a combined total of 28 kg in one week there approximately 2.2 pounds and 1 kg assuming the

Akimi4 [234]

Answer:

8.8 pounds

Step-by-step explanation:

There are 7 days in a week, so the daily loss was ...

(28 kg)/(7 days) = 4 kg/day

In pounds, that is about ...

(4 kg/day)(2.2 lb/kg) = 8.8 lb/day

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3 years ago

WHat is the y- intercept of the quadratic function f(x)=(x-6)(x-2)?

aleksandrvk [35]

I think it's (0, -12)

7 0

2 years ago

Read 2 more answers

Suppose that LMN is isosceles with base LN suppose that M

ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

$m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ$

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

$LM=MN$ (Given)

$m\angle N=m\angle L=(2x+36)^\circ$ (Base angles of an isosceles triangle are equal)

Now,

$m\angle L+m\angle M+m\angle N=180^\circ$

$(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ$

$(7x+89)^\circ=180^\circ$

$(7x+89)=180$

On further simplification, we get

$7x=180-89$

$7x=91$

$x=\dfrac{91}{7}$

$x=13$

The value of x is 13. Using this value, we get

$m\angle L=(2(13)+36)^\circ$

$m\angle L=(26+36)^\circ$

$m\angle L=62^\circ$

Similarly,

$m\angle M=(3(13)+17)^\circ$

$m\angle M=(39+17)^\circ$

$m\angle M=56^\circ$

And,

$m\angle N=m\angle L$

$m\angle N=62^\circ$

Therefore, the measure of angles are $m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ$ .

5 0

3 years ago

Help plzzzzzzz......

Veronika [31]

Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

Step-by-step explanation:

A. England = 5.60*10000000

=56000000

B. Wale = 3.14*1000000 = 3140000

Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

C. Total population as at 2018 = 66460000

expected population by 2041 = 72900000

increase or change = (72900000 - 66460000) = 6440000

% change = (6440000/66460000)*100

= 0.0969003912 * 100

= 9.69003912

= 9.7 to 2sf

8 0

3 years ago

Karen bought a jacket for$280.80 inclusive of an 8% sales tax.Find the price of the jacket before sales tax was applied.

Serhud [2]

Answer:

$260

Step-by-step explanation:

Actual price + 8% of actual price=$280.80

Let x= actual price

8% of actual price=8/100 of x

=0.08x

x + 0.08x=$280.80

1.08x=$280.80

x=$280.80/1.08

x=$260

Price of the jacket before sales tax=$260

Check:

8% sales tax of $260

=8% of $260

=8/100×$260

=0.08×$260

=$20.8

Purchasing price= actual price+ sales tax

=$260+$20.8

=$280.80

8 0

3 years ago