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.

To know more about expression click here

https://brainly.com/question/14083225

#SPJ2


Related Questions

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

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 :)

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

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

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

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

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

#SPJ2


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

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

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

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

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]

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 ......

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.

Learn more about radius of circle here:

https://brainly.com/question/11137975

#SPJ2

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

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

Answers

i'm confused is there supposed to be a question

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

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

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

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 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

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:

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

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]

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.

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:

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.

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

────░░░───────────────────────────░░░───
─░░░─────────░▒▒▒▓▓▓▓▓▓▓▓▓▓▒▒▓▓─────░───
░░──────▒█████████████▓▓▓▓▓▒▓▓██▓────░──
░────▒███▓▒▒░──░▒▒░──░░░░░░░────██────░─
░───██░───░░▒░░░░───░─░░▒▒▓▓▒░───██───░░
───▓█───▒░───▒░────▒───────▒▒▒░──░█────░
───█▒─────────░──────▓████▒───────██────
──██────██████─────██▓▓█████▓─░────██───
─██▒░───▓███████──░████▓█▓▒█▒─▓▓▓█▒─██▓─
▓█─░▓██▓──────█─────▒───▒█▓░▒███▓░██──█▒
██──▒░▒███▒──██───────────▒▒▒──▒█──██─░█
░█─░──█────██▓─────▓██▒─────▒██▒██▒▓█──█
─██░─██░───██▓───██▓░█──▒████───█░─█░─██
──█──████▓───▒██───░████▓░─██▒███────██─
──█▓─█▓█░███████████▒░█──▒███▒██────██──
──█▓─███░█▓──█▒─░█───▒███████▓█────██───
──██─███████████████████───░██────▓█────
──██─██████████████▒───█──██▓────░█░───░
──█▓─░██▓█─█─▒█───█────████─────██▒───░░
──█▒──▒██████▒█▒▒███████▒──░▒▓███─────░─
──█░──────▒▒██████▒▒░░──░▒░▓███▒──────░─
──█──▒─▒▒──────────░▒▒░──▓██░────░░────░
──█──░▒▒▒▒▒░░─░─░─░───░███████▒───░────░
──██─────────────░▒▒▓███████████──░░───░
───██▓░──────▒▓████▓░──█████████▒──░────
──░──█████████████───▒▓██████████──░░───
──░──██████████████▒▓████████████░──░───
──░──▓███████████▓───░███████████▓──░───
──░───███████████─────████████████──░───
───░───██████████░▒███████████████──░───
───░░───▓███████████████████▒─▓██───░───
───░▒───█████████████████████──────░░───
──░░───██████████████████████───░░░─────
─░░───████████████████████████──░▒─────░
─░───█████████████████████████───▒─────░
░───██████████████████████████▓───░░────
░──▓███████████████████████████░───░░───
──░█████████████████████████████▓───░░──
░──▓██████████████████████████████────░─
░────▓█████████████████████████████░───░
▒────███████████████████████████████▒──░
───▒█████████████████████████████████───
──▒███████████████████████████████████──
─░████████████████████████████████████──
─█████████████░─────────░█████████████░─
─███████████░─────────────████████████──
─▓██████████───░░░░░░▒▒───▒███████████──
──██████████──░░────░░───░███████████▒──
──██████████──░─────░───█████████████───
───█████████──░░───░───█████████████───░
░──█████████───░───░───███████████▒───░░
░──▒████████░──░───░──██████████▒────░░─
░───████████▓──░───░──███▓████▒────░░───
░░──████████───░───░───██░─▓─────░░░────
─░──▒███▒─█▓──░░───░░───▒███───░░───────
─░░───░█░─▓█──░░────░░───███──░░──────░░
──░────█▓███──░──────░░───░───░────░░░──
──░░──█▒─██───░────────░─────░░───░░────
──░──░████───░░─────────░░░░░─────░─────
──░░──▒░────░░────▒░─────────────░──────

Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

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

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

Other Questions
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH? A person infected with the human immunodeficiency virus (HIV) may not have any symptoms for anextended period of time. This information suggests that the reproductive cycle of the HIV virus is 1. lysogenic, because the virus develops over a long period of time2. lytic, because the virus causes an autoimmune disease and eventually death3. lysogenic, because the virus primarily affects older people4. lytic, because of the quick onset of symptoms after infection Although Australia became a commonwealth in 1901, Aborigines were not give the right to vote until 1962. Please select the best answer from the choices provided T F What famous singer of the US Constitution and first president of the University of Georgia is illustrated in this picture? A) Johnny Mercer B) Abraham Baldwin C) James E. Carter graph -3x+y=10 using slope-intercept form This image shows Mount Fuji in the background and a Shinto temple in the foreground. How does this image best reflect the influence of nature on Japanese culture? It shows the advanced technology used to create the buildings. It shows the physical barriers that have created different regions and customs. It shows buildings being in harmony with the environment. It shows a variety of physical features and life at different elevations. ANSWER ASAP!!!!!! I WILLL GIVE BRAIN! a cube has six faces what is the probability that the the number 4 will land face up Is the answer correct yes or no .If it correct write it correct if it wrongs write the correct answer. The 6,000-mile journey traveled by the Peoples Liberation Army from their base in Jiangxi province to Shensi is known as the __________. A. Cultural Revolution B. Long March C. Great Leap Forward D. Kuomintang PLEASE CAN SOMEONE HELP MY ASSIGNMENT IN ARTS, SO THAT I CAN PASS IT TOMMOROW BECAUSE IT DUE. PLEASE I NEED YOUR HELP! Find the value of w On a coordinate plane, the pre-image is shifted 2 units to the right and 1 unit up. It is rotated 90 degrees counterclockwise. Which sequence of transformations produced the image? a counter-clockwise rotation 90 about the origin followed by a translation 2 units to the right and 1 unit up a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90 about the origin a clockwise rotation 90 about the origin followed by a reflection across the y-axis a reflection across the y-axis followed by a clockwise rotation 90 about the origin Les ados/aller au cinma/samedi. Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax? Who had the power to remove kings from power?A) The PopeB) The BishopC) The KingD) The Cardinal the difference of a number t and 9 t-9 or 9-t How to write the question using the follow sentence#1Will mark Brainliest Please help me!! 15 points!! discuss how devastating a 7.7 - magnitude earthquake is. 2. Are the triangles shown below similarnot? How do you know? (Explain your reasoning)