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3 years ago

Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

x={-sqrt(103/7)+4, sqrt(103/7) +4}

Step-by-step explanation:

Subtract 7x from both sides: 7x^2-56x=-9

Divide both sides by 7: x^2-8x=-9/7

Solve for a (2ax=-8x): -4

Plug a back in: -9/7+(-4)^2=103/7

Complete the square: (x-4)^2=103/7

Therefore, x={-sqrt(103/7)+4, sqrt(103/7) +4}

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A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the t

Lapatulllka [165]

Answer:

3 people left

Step-by-step explanation:

The job can be completed by 7 people in 11 days
The job is equivalent of 7*11 = 77 people*days

After 3 days, job left:

(11 - 3)*7 = 56 people*days

This was completed by 7 - x people as x people left

Time needed was 14 days, we have new equation:

14(7 - x) = 56
7 - x = 4
x = 7 - 4
x = 3

As we found, 3 people left

6 0

2 years ago

What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slop

Stels [109]

The first thing we must do for this case is to find the equation of the line.
$y-yo = m (x-xo)
$
We have then:
$m = (y2 - y1) / (x2-x1)

m = (-3 - 0) / (2-8)

m = 1/2$
We choose an ordered pair:
$(xo, yo) = (8, 0)
$
Substituting values:
$y-0 = (1/2) (x-8)

y = (1/2) x - 4$

From here we conclude:

Intersection with y:
We evaluate x = 0 in the function:
$y = (1/2) (0) - 4

y = -4$

Slope of the line:
$m = 1/2
$

Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
$-5 = (1/2) (- 2) - 4

-5 = -1 - 4

-5 = - 5$
The equation is satisfied.

Point (8, 0):
It is part of the table, therefore belongs to the line.

Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.

7 0

3 years ago

Read 2 more answers

The sum of two nonnegative numbers is 20. Find the numbers if the sum of their squares is as large as possible; as small as poss

KATRIN_1 [288]

20 and 0 = largest sum of squares
10 and 10 = smallest

4 0

3 years ago

Hello please help me with this ASAP! :) Ignore the chosen answer lol

horrorfan [7]

Answer:

2/12

Step-by-step explanation:

Because there are 6 tile total but he wants two put 2 numbers out of the bag twice..... you get the 12 because he pulls a number out twice and since he has 6 and then does it again it adds to 12 so the answer would be 2/12

3 0

3 years ago

PLEASE ANSWER ASAP! WILL GIVE BRAINLIEST+12 POINTS!

VikaD [51]

Answer:

a¹⁰

Step-by-step explanation:

$(x^{m} )^{n} =x^{mn}$

So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰

7 0

2 years ago