what choices are solutions for equation x^2-3x = -5/4

Answers

Answer 1

Here's the solution,

=》

[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]

=》

[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]

now, let's multiply the whole equation with 4

=》

[tex]4 {x}^{2} - 12x + 5 = 0[/tex]

=》

[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]

=》

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

=》

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

so,

Case 1. where, 2x - 5 = 0

=》

[tex]x = \dfrac{5}{2} [/tex]

case 2. where, 2x - 1 = 0

=》

[tex]x = \dfrac{1}{2} [/tex]


Related Questions

Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1

Answers

Answer: (a)

Step-by-step explanation:

Given

angle is [tex]270^{\circ}[/tex]

Sine and cosine at this angle is

[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]

Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]

[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]

The same thing is depicted by option (a)

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ5

Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.

Write an equation to represent the situation.

What is Noah's fundraising goal? Show or explain how you found it.

Answers

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

The triangle and square have equal perimeters. What is the perimeter of the triangle?

A. 18
B. 4
C. 12
D. 32
E. 16
F. 24

Answers

Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

P = 9x + 7

x=1, substitute into equation:

P = 9(1) + 7

P = 16

Hope this helped!

A cryptography expert is deciphering a computer code. To do this, the expert needs to
minimize the product of a positive rational number and a negative rational number, given
that the positive number is exactly 7 greater than the negative number. What final
product is the expert looking for?
What’s the answer?

Answers

9514 1404 393

Answer:

  -49/4

Step-by-step explanation:

The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.

The product being sought is (7/2)(-7/2) = -49/4.

Answer: -49/4

Step-by-step explanation:

First set up two equations; a primary and a secondary equation.

Primary: P=xy

Secondary: x=7+y

Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.



Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2

Finally substitute y value into the secondary equation and solve for x:

x = 7 - 7/2

= 14/2 - 7/2

= 7/2



Multiply the two values together: -7/2 * 7/2 = -49/4


What’s the product of four-fifths and two-and-five-twelfths?

Answers

Answer

1.93 or 29/15



Answer:

One and fourteen fifteenths

Step-by-step explanation

4/5 (2 15/2)

4/5 (29/12)

29/15=1 14/15

HELP MEEEEEEEEEEEEEEEEEEEEE!

Answers

the first one is 194,500. the second is 685,820. good luck!

what its 1010 + 800 pls help​

Answers

Answer:

1,810 hope this helps ;)

Answer:

1810

Step-by-step explanation:

lol, did I get trolled?

Where can we use linear inequalities in real life?

Answers

Step-by-step explanation:

we can use it to solve age problems and Money problems e.t.c

What is the total surface area of the square pyramid?

240 square meters
280 square meters
310 square meters
380 square meters

Answers

we need a photo to answer

Answer:

380 I belive! :))

Step-by-step explanation:

Correct me if I'm wrong! ((:

100 points if you tell me what is range

Answers

Answer:

Difference in large and small numbers, higher or smaller value.

Answer:

The range is the difference between the largest and smallest numbers. If you are talking in math.

Example 1: 1, 2, 5, 6, 7

so the smallest number is 1 and the largest number is 7 so 7-1=6

The range is 6.

Example 2: 16, 19, 10, 17, 42

now we have a data set that is not in order. First step is to order them:

10, 16, 17, 19, 42

Next take the smallest and largest number and subtract them: 42-10=32

The range is 32.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.

Answers

Answer:

[tex]q = 7[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation

[tex]p =2; q = 21[/tex]

Required

Find q when [tex]p = 6[/tex]

[tex]p\ \alpha\ \frac{1}{q}[/tex]

This becomes

[tex]p = \frac{k}{q}[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = p * q[/tex]

Substitute [tex]p =2; q = 21[/tex]

[tex]k = 2 * 21[/tex]

[tex]k =42[/tex]

When [tex]p = 6[/tex], we have:

[tex]p = \frac{k}{q}[/tex]

[tex]6 = \frac{42}{q}\\[/tex]

Make q the subject

[tex]q = \frac{42}{6}[/tex]

[tex]q = 7[/tex]

solve the expression 7x + 8, x=4

Answers

Answer:

36

Step-by-step explanation:

7x + 8

x = 4

So, 7(4) = 28

28 + 8 = 36

4=x so substitute it in so 7(4) + 8 = 36

7*4=28+8=36


What is the area of the green triangle?

Answers

Answer:

The answer is 65

Step-by-step explanation:

Formula for triangle: b x h x 1/2

base= 13cm  height= 10cm

13 x 10 x 1/2 =65

The area of the green triangle is 65.

If y=qx5 and if q=10 then what is y?

Answers


y=q*5

So the answer is:

y= 10*5=50

If 12 pens are packed equally into 2 boxes, how many pens will each box hold?



Answers

Answer:

6

Step-by-step explanation:

12/2=6

Hope it helps......

Answer is 6.

12/2=6

6+6=12

What is the factored form of x^2-x-20​

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)

Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth

Answers

3x=4

To get x by itself, you need to divide 3 on both sides.

Your answer in fraction form:4/3
Your answer in decimal form:1.3

Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=

Answers

Answer:

5+12x-3 = 14

12x = 14 -5+3

12x = 12

x = 1

Answer:

X=1. I did mental math. I am sure.

what's the answer to this question? (zearn)

Answers

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The volume of the bedroom:

9 * 5 * 7 = 315 cubic feet

The volume of the den:

(9*2) (5*2) (7*2)

18 * 10 * 14 = 2,520

2,520/315 = 8

Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?

Answers

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

What can you conclude about alternate interior angles?

Plz be specific..Will give BRAINLIEST!!!

Answers

Answer:

We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Please mark as brainliest.

A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?

Answers

21.25 because $25x85%=21.25

7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?

Answers

Answer:

8600 litre×235 will be there in the tanks

Natasha was thinking of a number. Natasha doubles it and adds 6.5 to get an answer of 79.4. Form an equation with
x
from the information.

Answers

Answer:

Let the correct number be x.

therefore,

x - 6.5 = 79.4

What is 3÷3/4? (Btw you guys are so helpfil literally tysm

Answers

Answer:

Answer is 0.25.

Step-by-step explanation:

3/3=1

1/4=0.25

Have a nice day!

and can I maybe have brainliest? Thanks!

WOW This is my 150th answer!!!

Find the area of similar figure.XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!

Answers

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

The label on the can of soup covers
about 354.2 square centimeters. What is the
height of the can
Radius : 4.7 cm
HELPP

Answers

Answer:

h = 12 cm

Step-by-step explanation:

Given that,

The area of the can of a soup, A = 354.2 cm²

Radius of the can, r = 4.7 cm

We need to find the height of the can. The formula for the volume of a cylinder is given by :

[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]

So, the height of the can is equal to 12 cm.

Please help me ASAP please

Answers

Answer:

Equation: 45 - 21 = s

The second answer is 24.

You can check by adding 24 + 21 which is 45.

1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. ​

Answers

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares

Answers

Answer:

2025 is the answer

Step-by-step explanation:

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