All categories

2 years ago

Re-write the quadratic function below in Standard Form2y = -(x – 4)2 + 8

Mathematics

1 answer:

svetlana [45]2 years ago

8 0

Answer:

y=-x+8

Step-by-step explanation:

First distribute the negative

2y=(-x+4)2+8

then you would multiply the (-x+4) by the two

2y=-2x+8+8

then you would combined like terms

2y=-2x+16

then you would divide both sides by 2

y=-x+8

You might be interested in

Evaluate v(x) = 12 - 2x - 5 when x = -2,0. and 5.

EleoNora [17]

Answer:

11,7,-3 respectively

Step-by-step explanation:

when x is -2 ,0 and 5 the result will be 11, 7 and -3 respectively

4 0

2 years ago

4 quarters are equal in value to 10 dimes.

bija089 [108]

Answer:

Step-by-step explanation:

7 0

3 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

nirvana33 [79]

Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here

5 0

2 years ago

Option 1:<br><br> Find x. Show all work.

Ronch [10]

Using law of cosines:

Cos(angle) = adjacent/ hypotenuse

Cos(22) = 12/x

Rewrite to get:

X = 12/cos(22)

Simplify:

X = 12.9424

Round the answer as needed.

5 0

2 years ago

Read 2 more answers

Re-write the quadratic function below in Standard Form2y = -(x – 4)2 + 8​

Re-write the quadratic function below in Standard Form2y = -(x – 4)2 + 8