2x ^2 −5=3x
Which of the following describes the solutions to the equation above?
A)The equation has two distinct rational solutions.
B)The equation has two distinct irrational solutions.
C)The equation has one distinct real solution.
D)The equation has no real solutions.

Answers

Answer 1

Answer:a

Step-by-step explanation:

Answer 2

The solutions to the given equation will be two distinct rational solutions, i.e. option A.

What is expression ?

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]2x ^2 -5=3x[/tex]

Now,

Rearrange the equation,

[tex]2x ^2 -3x-5=0[/tex]

Now,

Using the mid term splitting method,

[tex]2x ^2 -3x-5=0[/tex]

i.e.

[tex]2x ^2 -5x+2x-5=0[/tex]

Now,

Taking common,

[tex]2x ^2 +2x-5x-5=0[/tex]

i.e.

[tex]2x (x +1)-5(x+1)=0[/tex]

We get,

[tex](x +1)(2x -5)=0[/tex]

Now,

(x +1) = 0

⇒ x = -1

Now,

(2x -5 )= 0

⇒ [tex]x =\frac{5}{2} =2.5[/tex]

So, the solutions of the given equation are -1 and 2.5.

Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.

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Related Questions

Gregs cocker spaniel weighs 32 pounds. His kitten weighs 15 ounces.

Answers

i'm confused is there supposed to be a question

Solve the matrix equation below

Answers

Answer:

We need to distribute the values Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]

The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%

Please hurry

Answers

Answer:

i think it is 20

Step-by-step explanation:

i hope it help

Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?

Answers

Answer: 5 weeks

Step-by-step explanation: Please give me brainliest

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure


Tom walks 1/3
of a mile in 1/4 of an hour. At this rate, how many miles will Tom Walk
in 1 hour?
-
B
IN

Answers

Answer:

4/3 miles

Step-by-step explanation:

1/3 miles

-----------------

1/4 hour

1/3 ÷ 1/4

Copy dot flip

1/3 * 4/1

4/3 miles per hour

In 1 hour

4/3 miles

Answer:

1 1/3 miles in 1 hour

Step-by-step explanation:

since there are 4 quarters in 1, you must multiply 1/3 by 4.

1/3 x 4 = 1 1/3

Here are two circles. Their centers are A and F. What is the same about the two circles?

Answers

Both  the circle A and F have same radius and diameter.

What is Radius of circle?

Any circular object's radius is the measurement from the centre to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the centre of the circle.

Given:

We have Two circles named A and F.

Now, the radius of circle A is 4cm

So, the diameter of Circle A is 4 x2 = 8 cm

Now, the Diameter of Circle F is 8 cm

Hence, both the circle A and F have same radius and diameter.

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on a coordinate plane, three of the four verticles are located at the points (0,0), (5,5) and (6,2). what is the area, in square units, of the rectangle?
A.20
B.
[tex]10 \sqrt{5} [/tex]

C.32
D.
[tex]20 \sqrt{5} [/tex]

Answers

Answer: o believe the answer is D hope it helps

Step-by-step explanation:

Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26



HELP!!!!

Answers

Answer:

we get Rate of change = -3

Step-by-step explanation:

We need to calculate the rate of change for the following data:

x     y

-1     7

2     -2

7     -17

10   -26

The rate of change can be calculated using slope formula: [tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table, we can take any 2 points

Suppose we take (-1,7) and (2,-2)

We have: [tex]x_1=-1, y_1=7,x_2=2, y_2=-2[/tex]

Putting values in formula and finding rate of change

[tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3[/tex]

So, we get Rate of change = -3

10 pens for $8.99.
25 pens for $19.75

Answers

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Help asappppp ? Writing linear Equations?

Answers

Answer:

C=0.75m+3

Step-by-step explanation:

3=flat fee

0.75 per mile

m=mile

c=cost

Given that the following is a Rhombus, find the missing sides.

Answers

Answer:

AE = 6

AC = 12

BD = 16

AB = 10

Step-by-step explanation:

In a rhombus, which is equilateral, the diagonals bisect each other so,

AE = EC so 6

AC = AE + EC, which is 6+6

BD = ED + EB or 8+8

AB = BC so 10

Which line has a slope equal to 1?

Answers

The slope of a tangent line.
Hope I helped

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

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Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:

Answers

Answer:

Im pretty sure its 33 and 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up a proportion

2/13 = x / 39                  Cross multiply

13*x = 2 * 39                  Combine the right

13x = 78                         Divide by 13

x = 78/13

x = 6

Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.

So the final answer is

Cleaner: 6

Water: 39 - 6 = 33 pints of water.

Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.

Graph the line through(-5,-10), m=3

Answers

Answer:

below

Step-by-step explanation:

first put it in point-slope then slope intercept:

y+10=3(x+5)

y+10=3x+15

y=3x+5

now graph it

Given that the following is a Rhombus, find the missing angles.

Answers

Answer:

1. 90

2. 61

3. 29

4. 61

Step-by-step explanation:

1 is a 90 degree angle. Triangles = 180 degrees

The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.

What is the volume of water in Miguel's pool after he fills it for 6.5 minutes?

Answers

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

Graph the line

Through (6, 0), m= -1/2

Answers

Answer:

The equation of the line would be y = -1/2x + 3. You can use this to make a graph that looks like this:

Help please!

Urgent Question!!!​

Answers

Step-by-step explanation:

Coordinates of Point R = (0, y).

We have PR = QR.

=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².

=> 4 + (6 - y)² = 81 + (3 - y)²

=> y² - 12y + 40 = y² - 6y + 90

=> 6y + 50 = 0

=> y = -25/3.

Hence the answer is (0, -25/3).

Coordinates of Point S = (x, 0).

We have PS = QS.

=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²

=> (-2 - x)² + 36 = (9 - x)² + 9

=> x² + 4x + 40 = x² - 18x + 90

=> 22x = 50

=> x = 25/11.

Hence the answer is (25/11, 0).

here,

coordinates of P(-2,3)

coordinates of Q(9,3)

coordinates of R(0,0)

now,

PR=QR

or, 0-(-2)+0-3=(0-9)+(0-3)

or, 2-3= -9-3

or, -1 = -12

what is 2+2-3+9-5+3=

Answers

Answer:

8

Step-by-step explanation:

Answer: the answer is 8

Step-by-step explanation: hope this helps :)

Question:
A store had 600 pounds of feed. After delivering equal amounts to 4 farmers, there are 60 pounds left. How many pounds did each farmer receive?

Answers

Answer:

135

Step-by-step explanation:

I am not sure if you have to use the substitution method but I just did (600 - 60) then divided by 4  

(600 - 60) Divided by 4
(594) Divided by 4
585 Pounds

Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

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MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST

Answers

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

Which equation is equivalent to 10=3/2(2x+4)?

a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12

Answers

Answer

the answer should be C. 10=3x+6

let f(x) = x^3+3x^2-x-3. Find the polynomial function each of whose roots are two less than the roots of f(x)​

Answers

Step-by-step explanation:

f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)

= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).

The roots of f(x) are x = -3, -1 and 1.

=> The new roots are x = -5, -3 and -1.

=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.

Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?


A $108
B $96
C $162
D $180
ASAP PLEASEEE

Answers

Answer:

A $108

Step-by-step explanation:

40% = .4

.4 * 270 = 108

The price of each box of Girl Scout
cookies is $ 20 - 4. Write an
expression using multiplication to
represent the total cost of 3 boxes of
cookies.

Answers

20-4 equals 16. So that means that’s our
answer of price per box. So 16 times 3 equals 48. A equation for this would be:
20-4=16X3=48
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