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Tpy6a [65]
2 years ago
8

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply.

Mathematics
2 answers:
erma4kov [3.2K]2 years ago
6 0

Answer:

-5 and -9/2

Step-by-step explanation:

Just did it

rodikova [14]2 years ago
5 0

Answer:

-5

negative nine-halves

Step-by-step explanation:

we know that

In the quadratic equation ax^{2} +bx+c=0

If b^{2}-4ac < 0

then

The system has no real numbers solutions

we have

-x^{2} +3x+c=0

so

a=-1,b=3

substitute

3^{2}-4(-1)c < 0

9+4c < 0

c < -\frac{9}{4}

<u><em>Verify each case</em></u>

case 1) -5

For c=-5

substitute

-5 < -\frac{9}{4}

-20 < 9 ------> is true

therefore

The value of c=-5 will cause the quadratic equation  to have no real number solutions

case 2) negative nine-halves

For c=-9/2

substitute

-9/2 < -\frac{9}{4}

-36 < -18 ------> is true

therefore

The value of c=-9/2 will cause the quadratic equation  to have no real number solutions

case 3) negative one-quarter

For c=-1/4

substitute

-1/4 < -\frac{9}{4}

-4 < -36 ------> is not true

therefore

The value of c=-1/4 will not cause the quadratic equation  to have no real number solutions

case 4) 1

For c=1

substitute

1 < -\frac{9}{4} ------> is not true

therefore

The value of c=1 will not cause the quadratic equation  to have no real number solutions

case 5) 9 Over 4

For c=9/4

substitute

9/4< -\frac{9}{4} ------> is not true

therefore

The value of c=9/4 will not cause the quadratic equation  to have no real number solutions

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You have decided to pursue a career in nursing. You are willing to relocate based on salary differences. The states you are will
iVinArrow [24]

Answer:

$30.76

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

7 0
2 years ago
1.
butalik [34]

The answers to each of the given problems are;

1) Sum of two smallest integers  = 23

2) 3x + 6

3) 7.5 m/s²

<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

Read more about sum of integers at; brainly.com/question/17695139

#SPJ1

7 0
1 year ago
Brian spends
mariarad [96]

Answer:

Brian have £105 left.

Step-by-step explanation:

Given,

Amount earned by Brian per week = £168

Fraction spent on rent = 1/8

Amount spent on rent = 1/8 x 168

Amount spent on rent = £42

Fraction spent on food = 1/8

Amount spent on food = 1/8 x 168

Amount spent on food = £21

Amount left = Amount earned - amount spent on rent - amount spent on food

Amount left = 168 - 42 - 21

Amount left = £105

Brian have £105 left.

I hope this helps you

5 0
3 years ago
X + y = 3 <br>-2x + 4y = 6
Finger [1]
I'm assuming this is a system of equations you want solved so,

x = -y + 3

-2(-y+3)+4y = 6
2y - 6 + 4y = 6
6y = 12
y = 2

x + 2 = 3
x = -1

(-1,2)
7 0
3 years ago
Read 2 more answers
A neighbor farmer had some chickens. She had 24 feet of wire fencing to
Paraphin [41]

Answer:

A rectangle is defined by its length = L, and its width = W.

So the perimeter of the of the rectangle can be written as:

Perimeter = 2*L + 2*W.

In this case, we want to leave the perimeter fixed, so we have:

24ft = 2*L + 2*W.

Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.

2*L = 24ft - 2*W

L = 12ft - W.

or:

L(W) = 12ft - W.

Such that:

W must be greater than zero (because we can not have negative or zero width).

And W must be smaller than 12ft (because in that case we would have zero or negative length)

Then the possible different dimensions are given by:

L(W) = 12ft - W

0ft < W < 12ft.

8 0
3 years ago
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