solve for x: -5x^2+6=0

Answers

Answer 1

Answer:

x= square root of 6/5

Step-by-step explanation:

-5x^2+6=0

-5x*2=-6

5x^2=6

5x=square root of 6

x= square root of 6/5

Answer 2

Answer:

[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]

Step-by-step explanation:

We have the equation [tex]-5x^2 + 6 = 0[/tex]

Since we know that any number multiplied by 0 is 0, we can safely make the term [tex]0x[/tex] to add to this.

So our equation now is [tex]-5x^2 + 0x + 6[/tex]

We can now solve for this using the quadratic formula, which is [tex]\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

b is the coefficient on the x term, a is the coefficient on the [tex]x^2[/tex] term, and c is the constant.

Let's substitute inside the equation, since we know [tex]a = -5[/tex], [tex]b = 0[/tex] and [tex]c = 6[/tex].

[tex]\frac{{ - 0 \pm \sqrt {0^2 - 4\cdot-5\cdot6} }}{{2\cdot-5}}}\\\\\frac{{ 0 \pm \sqrt {0 -( -120)} }}{{-10}}}\\\\\frac{{ 0 \pm \sqrt {120} }}{{-10}}}\\\\\frac{{\pm \sqrt {120} }}{{-10}}}\\\\[/tex]

[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]

Hope this helped!


Related Questions

PLEASE ANSWER FAST ILL GIVE YOU BRAINLIEST❤️❤️❤️❤️

Answers

Answer:

No, he should have gotten $11.70.

Step-by-step explanation:

50.00

-38.70

______

$11.30

Analyze the image below and answer the question that follows. A cross-sectional view of the Earth to show the 4 layers. An arrow points to the fourth layer. Image by Mats Halldin and Charles C. In the image above, the arrow is pointing to a layer of the Earth that is solid and extremely hot. Which of the Earth’s layers is the arrow pointing to? A. the mantle B. the crust C. the inner core D. the outer core Please select the best answer from the choices provided A B C D

Answers

Answer:

The mantle is the #2 the crust is #1 the outer core is #3 the inner core is #4

Hoped I helped

Answer:

A

Step-by-step explanation:

which situation best represents the following equation 15+.15x<25+.05x

Answers

Answer:

x<10

Step-by-step explanation:

First, we want to move all of our like terms to one side. In the inequality, the variable x on one side and our whole numbers on the other.

To do this you have to cancel out 0.5x on the right side. So you need to subtract 0.5 from both sides.

This leaves you with 15+x<25. Subtract 15 from both sides which leaves you with x<10

Hope this helps :)



Given two consecutive integers. The sum of four times the first integer and six times the second integer is 96. Find the integers.

Find the First Integer and Second Integer

Answers

Hey there! I'm happy to help!

If these are consecutive integers it means that they are one apart. Let's call our numbers x and y and create a system of equations. Our x will be the first integer and y will be the second.

y=x+1

4x+6y=96

We plug our y value into the second equation to solve for x.

4x+6(x+1)=96

We use the distributive property to undo the parentheses.

4x+6x+6=96

We combine like terms.

10x+6=96

We subtract 6 from both sides.

10x=90

And divide both sides by 10.

x=9

Since y is x+1, we know that y is 10.

Our integers are 9 and 10.

Have a wonderful day! :D

A student is taking a history course and an English course. He decides that the probability of passing the history course is .75 and the probability of passing the English course is .84. If these events are independent, what is the probability that (a) he passes both courses; (b) he passes exactly one of them

Answers

Answer:

a. 0.63

b. 0.33

Step-by-step explanation:

Here is a probability question. When two events are independent, it means that the probability of one of the events happening has no effect on the probability on the other happening.

From the question, let P(H) be the probability of passing the history course while P(E) is the probability of passing the English course;

By representation;

P(H) = 0.75

P(E) = 0.84

a) Probability of passing both

This means that he passes history and also passes English;

Mathematically that would be represented as;

P(E) * P(H) = 0.84 * 0.75 = 0.63

b) Probability that he passes exactly one of the courses.

This means that he passes one and he fails the other. Mathematically, we should remember that the probability of an event not happening = 1 - probability of the event happening

Let P’(H) and P’(E) be the probability of failing the history and english courses respectively;

Thus; P’(H) = 1 - 0.75 = 0.25

while P’(E) = 1-0.84 = 0.16

Now the probability that he passes exactly one means he passes one and fails the other.

So in this case, we have two scenarios; He passes History and fail English or passes English and fails history.

Thus, we have;

[P(H) and P’(E) or P(E) and P’(H)]

In probability, and means multiplication while or means addition; thus we have;

{P(H) * P’(E) } + {P’(H) * P(E)}

= ( 0.75 * 0.16) + (0.25 * 0.84)

= 0.12 + 0.21 = 0.33

A cup of coffee costs $4 and a cup of tea costs $3.50. If ray has $40 and has bought 6 cups of coffee, find the maximum of tea he can buy.

Answers

Answer:

Coffee= $4

Tea= 3.50

6x4=$24

so with this in mind you must take 24 and divide it by the price of tea

24/3.50 is 6.8 so they max cups of tea he can buy is 6.

Hope this helps. :)

Step-by-step explanation:

The maximum number of cups he can buy will be 7.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a cup of coffee costs $4 and a cup of tea costs $3.50. If ray has $40 and has bought 6 cups of coffee.

6x4=$24

Divide 24 by 3.50 to get the number of cups.

24/3.50= 6.8

Therefore, the maximum number of cups he can buy will be 7.

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Simplify the expression.
9^1/2 - 16^1/4 =___

Answers

Answer: 9^1/2-16^1/4= 1
The answer should be 1

A__________________________ is a correspondence between two types of quantities such that the measures of quantities of the first type are proportional to the measures of quantities of the second type. * 2 points proportional relationship graph constant table

Answers

Answer:

Newtons 2nd law of motion

Step-by-step explanation:

Newton’s second law of motion is closely related to Newton’s first law of motion. It mathematically states the cause and effect relationship between force and changes in motion. Newton’s second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force. Before we can write down Newton’s second law as a simple equation giving the exact relationship of force, mass, and acceleration, we need to sharpen some ideas that have already been mentioned.

A map of a park says its scale is 1 to 100. What do you think that means? help I'm confused on this one??????​

Answers

Answer:

Ratio scales

If the scale of the plan is 1 : 100 this means the real measurements are 100 times longer than they are on the plan

how many solutions does the equation have? -3f + 3f = 0

Answers

Answer:

infinite solutions

Step-by-step explanation:

-3f + 3f = 0

0=0

This is always true so there are infinite solutions

Answer:

All Real Numbers (infinite Solutions)

Step-by-step explanation:

When you cancel out the -3f and the +3f you get [tex]0=0[/tex] and since that is true you get all real numbers

Hope this helps

Which number has a 3 that
has a value 10 times as much
as the 3 in 43.92?
A. 235.16
C. 96.315
B. 394.8
D. 7.635

Answers

Answer:

Answer A : 235.16

Step-by-step explanation:

Notice that in the original number (43.92), the 3 is located in the column of the units. So we are looking for a number that contains a 3 in ten times as much, that is a number that contains a 3 in the column of the tenths.

From the four given choices, the only one with a 3 in the column of the tenths is the one in answer A: 235.16

Trevon has 2l6 1/2 pounds of bird seeds he puts 1 1/4 lb of birdseed in this feeder each day how many days before Trevon runs out of. A bird seeds ​

Answers

Yes but dhhdbsbnnansnjjsj

Answer:

173 days

Step-by-step explanation:

You have 173.2, but you have to round down days.

You can change 216 1/2 to 216.5

Then change 1 1/4 to 1.25

Do 216.5/1.25

It make to 173 days

Assuming that your heart beats 70 times per minute, how many times does your heart beat in 6
days?
25,200
201,600
604,800
O 36,288,000

Answers

Answer:

C: 604,800

Step-by-step explanation:

24 hours in a day

60 minutes in an hour

24x60=1440

1440x 6=8640

8640x70=604800

Hope this helps

The heart will beat 604800 times in 6 days.

Number of minutes in a day = 1440 minutes

Number of minutes in 6 days = 1440 × 6 = 8640 minutes

Since the heart beats 70 times per minute, the number of times that it'll beat  in 6 days will be:

= 70 × 8640

= 604800

The heart will beat 604800 times in 6 days.

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Evaluate each expression.

Answers

Answer:

THIS DESERVES A BRAINLIEST BECAUSE I PUT ALL OF THE ANSWERS AND THE WORK TO IT

1: 6

2: 3

3: 5

4: 1

5: 3

6: -1

7: 8

8: 4

9: 3

10: 16

Step-by-step explanation:

Use PEMDAS

1. (2x2)+2

You do 2x2 first which is 4 so then you do 4+2 which is 6

2. 6 divided by (5-3)

You do 5-3 first which is 2 then 6/2 (that's 6 divided by 2) which is 3

3. 6/6 x5

so you do 6 divided by 6 which is 1 then you get 1x5 which is 5.

4. 2-(5-4)

5-4 is 1 and 2-1 is 1

5. 2+6/6

6 divided by 6 is 1 and 2+1 is 3

6. (-6)+5 is -1

7.  1-(-7) is the same as 1+7 which is 8

8. (-3)-7 is the same as -3+7 which is the same as 7-3 which is 4

9. 5+(-2) is the same as 5-2 which is 3

10. 8-(-8) is the same as 8+8 which is 16

$920/4 hours write as a unit rate

Answers

Answer:

$230 dollars per hours

Step-by-step explanation:

1) Just divide 920 with 4

You will get 230.

Hope this helps!

$230 dollar per hour

Find two consecutive whole numbers that square root of 31 lies between.
answer this please.

Answers

Given :

An irrational number , [tex]x=\sqrt{31}[/tex] .

To Find :

Two consecutive whole numbers that square root of 31 lies between.

Solution :

We know , square root of 36 is 6.

Also, square root of 25 is 5.

Now, we can see that [tex]\sqrt{31}[/tex] lies between 5 and 6. Also, both 5 and 6 are consecutive.

Therefore, between 5 and 6 is the solution.

Hence, this is the required solution.

The consecutive whole numbers that the square root of 31 lies between will be 5 and 6.

Consecutive numbers simply refers to the numbers that follow each other in a particular set.

The square root of 31 is 5.57

Therefore, it can be noted that 5.57 will be between 5 and 6.

Therefore, the numbers are 5 and 6.

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Are the points H and L collinear?
E
S
H

Answers

yes i took the test e sh

help me out with this question ​

Answers

Answer:

The size of the sample is 23 scientists.

true or false. Any 3 distinct points are always coplanar

Answers

Answer: False

Step-by-step explanation:

Three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane. Two lines in three-dimensional space are coplanar if there is a plane that includes them both.

Answer:

Coplanar means "lying on the same plane". Points are coplanar, if they are all on the same plane. Any three points are coplanar but with more than three points, there is the possibility that they are not coplanar so its false.

Step-by-step explanation:

Find the value of x- pls help

Answers

Answer:

35.2

Step-by-step explanation:

Help me and I’ll give you all my points

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer is B because if you divide 4 into 24 it will equal 6, therefore the answer is B because it is 1/6

GPA
1.73
3.08
3.39
3.7
3.52
3.28
2.87
1.86
2.73
1.93
2.15
1.55
2.24
1.63
3.26

Answers

Answer:

i dont get what you mean

Step-by-step explanation:

idki dont know

Solve the equation 6z = 48​

Answers

Answer:

z = 8

Step-by-step explanation:

We divide 6 on both sides ^^

the equation 6z=48, would be z=8, because 6x8=48 so therefore z=8

Write root(4, 81 ^ 5) exponential form

Answers

Answer:

  81^(5/4)

Step-by-step explanation:

The index of the root becomes the denominator of the exponent fraction.

  [tex]\sqrt[4]{81^5}=\boxed{81^{\frac{5}{4}}}\\\\=243[/tex]

Answer:

1st problem: 81 5/4

2: 81 5/4

3: 243

Step-by-step explanation:

for edge 2021(:

1/5 of the number of pretzel sticks in a pack is 12. How many pretzel sticks are there in the entire pack?

Answers

Answer:

60 because if you multiply 12 by 5 you will get 60

if 1/5 = 12 than 2/5 = 24, 3/5=36, 4/5=48 and 5/5 (or entire pack) = 60

there is 60 pretzel sticks in the entire pack

Noah solved an equation as shown below and found that the equation has infinitely many solutions. Negative 3 (x + 4) + 2 x = 2 (x minus 6) minus 3 x. Negative 3 x minus 12 + 2 x = 2 x minus 12 minus 3 x. Negative x minus 12 = negative x minus 12. Which explains whether Noah is correct? Noah is correct because the two sides of the equation are equivalent expressions. Noah is correct because if he continues the solution, the final solution will be x = negative 2. Noah is not correct because the equivalent expressions mean that there is no solution. Noah is not correct because he used the distributive property incorrectly.

Answers

Answer:

A is the answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

3x-9-2x+4. answer????

Answers

The answer is x-5 First collect like term so it will be x-9+4 and then subtract 9-4= 5 so now it will be x-5

The area of the parallelogram is 31.5 cm? What is the parallelogram's height?

b=3.75 cm

Answers

Answer:

[tex] \boxed{\sf Height \ of \ parallelogram \ (h) = 8.4 \ cm} [/tex]

Given:

Area of parallelogram (A) = 31.5 cm²

Base of parallelogram (b) = 3.75 cm

To Find:

Height of parallelogram (h)

Step-by-step explanation:

Area of parallelogram (A) = Base (b) × Height (h)

31.5 = 3.75 × h

h × 3.75 = 31.5

h = [tex] \sf \dfrac{31.5}{3.75} [/tex]

h = 8.4 cm

The height of the parallelogram is 8.4cm with a base of 3.75cm and an area of 31.5 sq cm.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

Given, The area of the parallelogram is 31.5 sq cm and the base is 3.75 cm.

We know the area of a parallelogram is base×height.

∴ h×3.75 = 31.5.

h = (31.5/3.75) cm.

h = 8.4 cm.

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Given f(t)=2x2-3x, what is the value of f(6)?

Answers

f(t) = 2x^2 - 3x
f(t) = 2(6)^2 - 3(6)
f(t) = 2(36) - 3(6)
f(t) = 72 - 18
f(t) = 54

Answer:
f(t) = 54

What’s the slope intercept form.slope -3/4 and passes through (8,-3)

Answers

Answer:

Step-by-step explanation:

y + 3 = -3/4(x - 8)

y + 3 = -3/4x + 6

y = -3/4x + 3

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