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Liono4ka [1.6K]
4 years ago
10

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. f(x) = (x − 8)2 f(x) = (x − 4)2 − 13 f(x) = (

x − 4)2 + 3 f(x) = (x − 4)2 + 16
Mathematics
2 answers:
blagie [28]4 years ago
6 0

Answer:

f(x) = (x - 4)² - 13

Step-by-step explanation:

S_A_V [24]4 years ago
4 0

Answer:

f(x) = (x - 4)² - 13

Step-by-step explanation:

Given

f(x) = x² - 8x + 3

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

f(x) = x² + 2(- 4)x + 16 - 16 + 3 = (x - 4)² - 13

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Jamie bought 15 apples. He ate 3 apples. What percentage of the apples did Jamie eat?
natka813 [3]
(3 / 15) * 100 = 20%

He ate 20% of apples

Hope it helps:)
3 0
3 years ago
Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hours. How far and
mylen [45]

Answer:

Step-by-step explanation:

The scenario is illustrated in the attached photo.

Desiree drove north for 30 minutes at 50 miles per hour.

Distance = speed × time

Distance travelled by Desiree to the north is 50 × 30 = 1500 miles

Distance travelled by Desiree back from the north and to the south is

60 × 20 = 1500 miles

She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.

She is 300 miles from her starting position and she is in the southern direction.

5 0
4 years ago
Usebthe elimination method to solve the following system of equations<br>4x+y=13<br>5x-y=5​
pochemuha

Answer:

x = -2, y = 21

Step-by-step explanation:

Let 4x + y = 13 to be equation1 {eqn1}

and let 5x - y = 5 to be equation2 {eqn2}

Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.

Notice how the value of y is the same in both equations. That's a good sign.

But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.

So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.

You would have:

-1 * (4x + y = 13)

+1 * (5x - y = 5)

This would result in;

-4x -  y = -13 (eqn3)

5x - y = 5 (eqn4)

So, just subtract eqn3 from 4

You would have;

(5x - -4x) + (-y -- y) = (-13 - 5)

9x + 0 = -18

x = -18/9 = -2

and to find y;

just substitute the value of x into any of the 4 equations. let's try equation 1

Therefore;

4(-2) + y = 13

-8 + y = 13

y = 13 + 8 = 21

8 0
3 years ago
Without solving the equations which answer best describes the solutions.
telo118 [61]
ANSWER:
D. The answers will be different because after distributing the 4 in the first equation it will change the values.

Hope it helps u!
6 0
3 years ago
At what rate does a payment plan for $1,500 accumulate $450 interest after 6 years?
Lisa [10]

Answer:

At a rate of 5%.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question:

Payment plan for $1500 means that P = 1500

$450 interest after 6 years means that E = 450, t = 6

We have to find the rate I. So

E = P*I*t

450 = 1500*I*6

I = \frac{450}{1500*6}

I = 0.05

At a rate of 5%.

5 0
3 years ago
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