Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.

Answers

Answer 1
Answer: To solve a quadratic equation, we use the quadratic formula which is expressed as:

x1 = [-b + √(b²-4ac)] / 2a]
x2 = [-b - √(b²-4ac)] / 2a]

These formulas are used to solve for the values of the roots of the equation given. From the equation,

a = 1
b = -5
c = -4

Substituting the values, we have:

x1 = 5.70
x2 = -0.70

Therefore, the negative real number is -0.70.
Answer 2
Answer:

The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

What is a quadratic equation ?

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = (-b \pm√(b^2-4ac))/(2a)

We have a quadratic equation;

0 = x² – 5x – 4   or

x² – 5x – 4 = 0

Here a = 1, b = -5, and c = -4

\rm x = (-(-5) \pm√(-5^2-4(1)(-4)))/(2(1))

\rm x = (5 \pm√(41))/(2)

After simplification:

x = 5.70  or x = -0.70

The value x = -0.70 is the negative real number.

Thus, the value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

Learn more about quadratic equations here:

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What solution of the inequality -1<4+5x<9

Answers

-1\ \textless \ 4+5x\ \textless \ 9 \n \n -1 - 4 \ \textless \  5x \ \textless \  9 - 4 \ / \ subtract \ 4 \ from \ equation \n \n -5 \ \textless \  5x \ \textless \  5 \ / \ simplify \n \n - (5)/(5) \ \textless \  x \ \textless \  1 \ / \ divide \ equation \ by \ 5 \n \n -1 \ \textless \  x \ \textless \  1 \ / \ simplify \n \n

Answer: -1 < x < 1

How would you measure the volume of a cardboard shoebox

Answers


-- Measure the length of the box.
-- Measure the width of the box.
-- Measure the height of the box.
-- Make sure all 3 measurements are in the same units.

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HELP PLS PLS ASAP!!
Which relation is a function?

Answers

Answer:

The one on the bottom right corner

Step-by-step explanation:

The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.

Answer:  Choice D in the bottom right corner

Reason

If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.

This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.

Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.

A recent survey found that 79% of Americans use the internet. if a city has a population of 76,000 how many people in that city would you expect to use the internet?

Answers

p\%=(p)/(100)\n\n79\%=(79)/(100)=0.79\n\n79\%\ of\ 76,000\ is\ 0.79\ *\ 76,000=60,040\leftarrow answer
79 % of 76 000 ?

79 % = 79/100 = 0.79

So 0.79 * 76 000 = 60 040

Researchers recorded that a group of bacteria grew from 200 to 1,000 in 8 hours. At this rate of growth, how many bacteria will there be in 20 hours from the start of the experiment

Answers

Answer:

  11,180

Step-by-step explanation:

The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...

  b = (initial value)·(growth factor)^(t/(period of growth))

  b = 200(5^(t/8))

Using t = 20, the predicted population is ...

  b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180

There might be about 11,180 bacteria in 20 hours.

Average speed of Car 1 = 45 mph.Average speed of Car 2 = 65 mph.
Time elapsed between start of Car 1 and start of Car 2 = 18 minutes.

How long before Car 2 overtakes Car 1?
A. 0.68
B. 0.53
C. 0.58

Answers

ok, note to a mod who deleted my answer, it would have been nice to ask for correction first (or maybe I wasn't online long enough to see?) so I can improve and see what went wrong



how long before car2overtakes car1,

since car2 is faster than car1, we assume that car1 left first
it left 18 minutes first

find how much distance that is
45 times hours=distance
60minsperhour
45 times 18/45=distance=13.5
headstart of 13.5miles

so

their distances are reprsetned by

45h+13.5=car1distance at h hours AFTER 18 minutes
65h=car2 disstance at h hours AFTER 18 minutes

when will distance be same?
set equal to each other

45h+13.5=65h
minus 45h both sides
13.5=20h
divide oth side by 20
0.675=h
0.675 hours

we round
0.68

answer is 0.68 hours
(note again, if  you want to delete my answer or see something wrong with this answer, tell me what it is so I can improve and learn (or maybe I can show you where you are wrong))




A is answer