Solve for X


Marking you the brainliest​ provided you got it right and with step by step explanation
​

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]

To have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;

Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]

For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.

In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0

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Answer:

ITS D GOOD LUCK WITH YOUR HMK

Answer:

D) Fluid ounce

Step-by-step explanation:

Fluid ounces are a unit used to measure volume, or how much space something takes up. This measurement is used for liquid ingredients, like water or milk. When a recipe calls for fluid ounces, go ahead and pull out your measuring cup; it's the most accurate way to measure this.

Answer:

A and D because yeah its right

Answer:

a=-3

b=-63

c= 2

d=8

e=9

f=128

h=-21

i=24

Step-by-step explanation:

Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.

Answer:

Alternative Interior Angles Converse

Step-by-step explanation:

The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.

The pair of angles are Alternate exterior Angle.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

From the Figure we can see that m is parallel to n.

and, from the property of parallel line we get the following equal angles

As, from the figure the pair of angles are Alternate exterior Angle.

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Answer:

$471.90 dollars

Step-by-step explanation:

First, we need to find out how many hours she's working.

There are 60 minutes in an hour so 15/60 is 0.25.

Thus, adding that to the 30 hours gives us 30.25.

If she makes $15.60 per hour we just multiply that by 30.25 hours and get the answer.

[tex]\frac{15.60}{hour}*30.25 hours = 471.9\\[/tex]

The [tex]\frac{}{hour}[/tex] comes from the wording of per hour, and since the unit is in the denominator, when we multiply it by the 30.25 hours, the units cancel out. Thus all we are left with is the amount of dollars made, which is $471.90.

[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]

Step-by-step explanation:

Given fractional expression:

(4x+3)/5 = (8x-1)/9

By doing cross multiplication, we get

⇛4x(9) + 3(9) = 8x(5) - 1(5)

⇛36x + 27 = 40x - 5

Now, combine the like terms in one side.

⇛27x - 40x = -5 + 36

⇛-13x = 31

⇛x = 31/-13 Ans.

ah, yes, college mathematics. how riveting

poem, prose

friends, foes

heavy, light

day, night

up, down

country, town

asleep, awake

give, take

I truly commend you on your pursuit of such higher level mathematics studies.  Good luck!

Answer:

The average of all 5 numbers is  9

Step-by-step explanation:

Two of the numbers average 12. That means that their total is 2*12 = 24

Three of the other numbers average 7. That means that their total is 7*3 = 21

The total score for the 5 numbers is 24 + 21 = 45

The average for all 5 numbers is 45/5 = 9

Answer:

500 Hours

Step-by-step explanation:

Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.

If we're talking reality, it would take well over a few weeks.

If its just math then yeah you would get 500.

Either way, 500 is the right answer.

Answer:

when you have the two points of a line (-4,5) and (0,6) then you use the m = (y2-y1)/(x2-x1) and you get m = 1/4

Answer:

62 sq in of wall is covered

Step-by-step explanation:

6 x 14 = 84 -22 = 62

this is for the total

4 x 4 = 16

this is for the inches of the inside wall

2 x 3 = 6

this is for the inches of the outside wall

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.

Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

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0.5% of 100

is equivalent to multiplying them:

0.5% × 100 = 0.5

Answer:

1.46%

Step-by-step explanation:

Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.

Answer: Obtuse, Right, Acute

Step-by-step explanation:

ABC: 5²+ 7² = 10²

25 + 49 = 100

c is greater so it is obtuse.

JKL: 12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

legs are equal to c so it is right.

PQR: 13² + 10² = 16²

169 + 100 + 256

269 = 256

c is less so it is acute.

Answer: [tex]\frac{-2+\sqrt{10}}{3}[/tex]

Step-by-step explanation:

Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675

Answer:

S, S, S

Step-by-step explanation:

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Answer:

Maximum height 8 feet; horizontal distance 11 feet

Step-by-step explanation:

got it right

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is [tex](x-3)^2=-8(y-8)[/tex]

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]

or

[tex]x-3=-8\\\Rightarrow x=-5[/tex]

The distance between -5 and 11 is [tex]11-(-5)=16[/tex]

Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].

[tex]-5+8=3[/tex]

So, [tex]x=3[/tex]

The maximum height will be

[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]

The maximum height is 8 feet and the horizontal distance is 16 feet.

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Answer:

2400

Step-by-step explanation:

y= -300x + 2400

-300 equals the slope

2400 is the y-intercept

Equation: y = mx + b

Step-by-step explanation:

The formula :

[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]

where r is years ; N is the percentage by which we increase the price ; A is the original price

In our case :

[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]

Then the monthly salary is equal to:

[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

​

x=\dfrac{5}{3}x=

3

5

​

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

​

)

x

<

8

1

​

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

​

)

x

<(

2

1

​

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

​

=x−2

\dfrac{x}{2}=2

2

x

​

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation: