solve for x 7x^2+49=0

Answers

Answer 1

Answer:

[tex]7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7[/tex]

NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION SINCE THE SQUARE OF ANY NUMBER CANNOT GIVE A NEGATIVE NUMBER.

THE SQUARE OF ANY NUMBER WHETHER IT'S POSITIVE OR NEGATIVE ALWAYS GIVES A POSITIVE NUMBER.

GOODLUCK!!


Related Questions

Find (f◦g)(x) and (g◦f)(x) for the pair of functions and give the domains. f(x)= 16 x2​,

Answers

Need more information to solve, but the standard rule is:

(f◦g)(x) = f(g(x))

(g◦f)(x) = g(f(x))

what is the y-intercept of the graph of y= 4.4 (0.34) x?

Answers

Answer:

The y-intercept of the given graph would be (0, 0).

________________________________________

Hope this helps!

Determine g(x−1) for the following function. g(x)=−4x−1

Answers

The function operation g( x - 1 ) of the function g( x ) = −4x − 1 is -4x + 3.

What is the function operation g( x - 1 ) in the given function?

A function is simply a relationship that maps one input to one output.

Given the data in the question;

g( x ) = −4x − 1g( x - 1 ) = ?

To find g( x - 1 ), replace all the occurrence of x with ( x - 1 ) in the function and simplify.

g( x ) = −4x − 1

g( x - 1  ) = −4( x - 1 ) − 1

Simplify by distributive property

g( x - 1  ) = −4( x - 1 ) − 1

g( x - 1  ) = x( -4 ) - 1( -4 ) - 1

g( x - 1  ) = -4x + 4 - 1

g( x - 1  ) = -4x + 4 - 1

Add 4 and -1

g( x - 1  ) = -4x + 3

Therefore, the function operation g( x - 1 ) is -4x + 3.

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GIVING BRAINLIEST + 60 POINTS!

Solve for x: 1 < x + 3 < 4

A. 4 > x > 7
B. 4 < x < 7
C. −2 > x > 1
D. −2 < x < 1

Please explain why you have gotten the right answer!

Answers

Answer:

it's greater than one so it's value is not negative

and 3+4 is 7

so x is greater then 4 but less than 7

so it's b the correct option

Answer:

D. -2 < x < 1

Step-by-step explanation:

1 < x + 3 < 4

=

{1 < x + 3

{x + 3 < 4

=

{ 1 + ( -3 ) < ( x + 3 ) + ( -3 )

{ ( x + 3 ) + ( -3 ) < 4 + ( -3 )

=

{ 1 - 3 < x + 3 - 3

{ x + 3 - 3 < 4 - 3

=

{ -2 < x

{ x < 1

=

{ x > - 2

{ x < 1

Hence, the answer would be : -2 < x < 1

Hopes this helps!

Have a good day :)

What in cardinality?​

Answers

In mathematics, cardinality is the number of elements in a set.

Have a good day!
Cardinality is the number of element in a set

Find the volume of a cone with a base diameter of 6 yd and a height of 8 yd.Use the value 3.14 for 1, and do not do any rounding.Be sure to include the correct unit in your answer.

Answers

ANSWER

[tex]\begin{equation*} 75.36\text{ }yd^3 \end{equation*}[/tex]

EXPLANATION

The volume of a cone is given by:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

where r = radius of the base of the cone

h = height of the cone

The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:

[tex]\begin{gathered} D=2r \\ r=\frac{D}{2} \\ r=\frac{6}{2} \\ r=3\text{ }yd \end{gathered}[/tex]

Hence, the volume of the cone is:

[tex]\begin{gathered} V=\frac{1}{3}*3.14*3^2*8 \\ V=75.36\text{ }yd^3 \end{gathered}[/tex]

That is the answer.

Hello I need help please

Answers

To graph the function using a table of values. The function is:

[tex]f(x)=\sqrt[]{x}[/tex]

Since the root is even, because it is a square root, there is no Real values for

[tex]x<0[/tex]

This already indicates that the probable correct alternative is C, however let's make the table to make sure.

The best way is to get x values that will easily get was f(x) values. Let's pick x = 0, x = 1 and x = 4:

[tex]\begin{gathered} f(0)=\sqrt[]{0}=0 \\ f(1)=\sqrt[]{1}=1 \\ f(4)=\sqrt[]{4}=2 \end{gathered}[/tex]

So, the points (0,0), (1,1) and (4,2) should be in the line. This exclude alternatives A, B and D. In C we can see these points:

So, the graph of the given function is the one showed in option C

Missed the class now lost

Answers

substitute the given values in the formula of (BAC) we have

[tex]48\cdot3.2\colon160-3\cdot0.015[/tex]

Remember

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

so

step 1

solve the multiplication

48*3.2=153.6

substitute

[tex]153.6\colon160-3\cdot0.015[/tex]

step 2

Solve the division

153.6/160=0.96

substitute

[tex]0.96-3\cdot0.015[/tex]

step 3

solve the multiplication

3*0.015=0.045

substitute

[tex]0.96-0.045[/tex]

step 4

solve the subtraction

0.96-0.045=0.915

in a sale normal prices are reduced by 10% Nathaniel bought a pair of shoes in the sale for £54

what was the original price of the shoes?

Answers

Answer:

$59.40

Step-by-step explanation:

54*0.10 (10%) = 5.4
5.4+54= 59.4
therefore, the price of the shoes without the discount is $59.40

Answer:

[tex]x=540[/tex]

What are Percentages?

Percents are a ratio of a number and 100. So they are easier to compare than fractions, as they always have the same denominator, 100.

[tex]{\text}To find this.[/tex]

[tex]{\text}Right the formula:[/tex]

10% of x = £54

[tex]{\text}Indicating 10 percent of something is the sale given for the pair of shoes 54.[/tex]

[tex]{\text}Then calculate:[/tex]

[tex]\frac{10x}{100} =54[/tex]

[tex]{\text}Using crisscross multiplication:[/tex]

[tex]x=540[/tex]

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the squares for each quadratic, list the center and rais, labeling its translated center: (a) x2 + 2x + y2 - 4y = 4 (c) 2x2 + 2y2 + 3x - 5y = 2 (e) x2 + y2 + 3x = 4 (g) x2 + y2 + 4x = 0 (i) x2 + y2 + 2mx - 2ny = 0 (b) 32-95.0 (d) * - 25.- (1) Akh + 47 - 165 (h) 2 + y - 7y=0 (j) 32 + y2 - 203. 2. Determine which of the following equations represents a circle with (a) x2 + y2 + 10x = -30 (b) 3x2 + 3y2 (c) 4x2 + 4y2 + 18x - 8y = -85 (d) 36x2 + 36

Answers

Determine which of the following equations represents a circle with a real non-zero radius:

a) First equation:

[tex]x^2+y^2+10x=-30[/tex]

We need to complete squares, i.e., make the equation look like a sum of squared binomials. Separating x's and y's:

GH has a midpoint at M(-4.5, 5.5). Point G is at
(-10, 14). Find the coordinates of point H.

Answers

Answer:

(-1, 3)

Step-by-step explanation:

We could imagine the point G and H are points on a straight line.

We know that:

Point G is at (-10, 14)

Midpoint at M (-4.5, 5.5)

To calculate the x coordinate of the mid-point, we suppose to subtract x coordinate of H from coordinate x of G, divide by 2 to get the x coordinate of the midpoint m, which is -4.5

To calculate the y coordinate of the mid-point, we suppose to subtract y coordinate of H from y coordinate of G, divide by 2 to get the x coordinate of the midpoint m, which is 5.5

Therefore, x coordinate of H:

(- 10 - x) / 2 = -4.5

-10 - x = -9

- x = 1

x = - 1

And y coordinate of H:

(14 - y) / 2 = 5.5

14 - y = 11

- y = -3

y = 3

Compare. Select >, <, or = to make the sentence true.

8 meters 6,000 millimeters

Answers

Answer: 8,0000 meters

Step-by-step explanation: if im wrong let me know and i will fix it

Answer: your answer is the alligator facing the left/8 meters is more

Step-by-step explanation:

the reason for this is because 1 meter is 1,000 millimeters so if you have 8 meters, then you obviously 8,000 millimeters

hope this helps :)

please give brainliest if possible

7 Describe the error in solving the equation
(1) 3 (X + 4) = 13
(2) 3x + 4 =13
(3) 3 x = 9
(14)X = 3

Answers

Answer:

(2)  The 3 was not distributed correctly.

3(x + 4) is the same as 3(x) + 3(4)  Which is 3x + 12 not 3x + 4

Step-by-step explanation:

Answer: The error was at the first step since 4 was never multiplied by 3, therefore the final answer would be incorrect.  

Step-by-step explanation:  3(x + 4) = 13

multiply 3 by everything in the parenthesis, so

3x + 12 = 13

subtract 12 from each side.

3x = 1

divide both sides by 3

x = 1/3 = 0.33

Please help me solve this giving 20 points

Answers

Answer:

5005

Step-by-step explanation:

This seems to me like a permutations and combinations question.

Since the order doesn't matter, it's a combination.

15 c 6 = 5005

I hope this helps!

How many solutions does this equation have?
-8-10z = -4 - 10z

Answers

Answer is no solution

Step by step

-8-10z = -4-10z

Add 10z to both sides

-8 -10z + 10z = -4 -10z + 10z

-8 = -4
This is not true so no solution

The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted down.B. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted up.C. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted down.

Answers

The parent function given is

[tex]\begin{gathered} f(x)=x \\ \text{its has a slope of 1} \end{gathered}[/tex]

The transformed function given is

[tex]\begin{gathered} g(x)=\frac{1}{2}x+7 \\ \text{which has a slope of 1/2} \end{gathered}[/tex]

There is a reduction in the slope of the functions which makes the transformed function become less steep

The slope reduced from

[tex]1\text{ to 1/2}[/tex]

There is also a change in the intercept from

[tex]0\text{ to +7}[/tex]

And this indicates that the transformed function has been shifted up by 7 units

With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is

The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up

Hence, The correct answer is OPTION C

What are some similarities between sales tax and hotel tax? Select all that apply. Multiple select question. cross out A) Both are an additional amount one must pay. cross out B) Both must be paid in advance when you make a hotel reservation. cross out C) Both are based on a percentage of the original cost. cross out D) Both the sales tax and the hotel tax are equal when you stay in a hotel. cross out E) Both represent a guest fee that hotels charge their customers.

Answers

Some of the similarities between sales tax and hotel tax include the following:

B) Both must be paid in advance when you make a hotel reservation.

C) Both are based on a percentage of the original cost.

What is taxation?

Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.

The types of tax.

In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:

Hotel taxSales taxProperty taxIncome tax

In conclusion, we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.

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The first half of this problem is complete, but I dont understand how to do the second part.

Answers

Okay, here we have this:

According with the provided info we obtain the following equation:

[tex]v=30\cdot(\frac{1}{2})^{\frac{t}{36}}[/tex]

Let's calculate first the 20% of the initial leval:

[tex]30\cdot\frac{20}{100}=\frac{600}{100}=6mg[/tex]

Now, let's replace in the equation "v" with 6 to find the estimated time:

[tex]\begin{gathered} v=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \end{gathered}[/tex]

And, finally let's clear t:

[tex]\begin{gathered} 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ \frac{6}{30}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{1}{5}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{t}{36}\ln (\frac{1}{2})=\ln (\frac{1}{5}) \\ t=\frac{36\ln\left(5\right)}{\ln\left(2\right)} \\ t=83.589 \\ t\approx84 \end{gathered}[/tex]

Finally we obtain that after approximately 84 hours the valium concentration will reach 20% of it's initial level.

Peter enrolled $80,000 worth of debt with National Debt Relief. Peter’s fee for the service is 20% of the enrolled debt. How much is Peter’s fee?*

Answers

Answer:

16000

Step-by-step explanation:

Factor-2x² + 10x.
O-2x(x + 5)
O 2x(-x + 5)
O2(-x² + 10x)
Ox(2x + 10)

Answers

Answer:

I believe it is B.

Step-by-step explanation:

When you solve B, you get the expression that you are supposed to factor.

isabella bought tickets for 84 people. each ticket cost $16.22. how much did isabella spend on tickets

Answers

The total money Isabella spent on tickets will be $1362.48

In the given question, it is stated that Isabella bought a total of 84 Tickets. Each of the tickets she bought cost $16.22. We have to find out the total amount that she spent on buying tickets for everyone. From this given situation we know:

The cost of one ticket: $16.22

Total number of tickets: 84

From this formula, we can calculate the total amount spent

Total Amount = Total ticket * cost of one ticket

Putting values in this formula, we get:

=> Amount = cost*number

=>  Amount = 16.22*84

=>  Amount = 1362.48

Hence, the Total amount that she spent on Tickets will be $1362.48

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Solve this please !!!!

Answers

Given

[tex]1.5(x+4)-3=4.5(x-2)[/tex]

To find: The value of x.

Explanation:

It is given that,

[tex]1.5(x+4)-3=4.5(x-2)[/tex]

That implies,

[tex]\begin{gathered} 1.5(x+4)-3=4.5(x-2) \\ 1.5x+6-3=4.5x-9 \\ 1.5x+3=4.5x-9 \\ 4.5x-1.5x=9+3 \\ 3x=12 \\ x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]

Hence, the value of x is 4.

{(-3,-4), (-1,2), (0, 0), (-3,5), (2,4)}
Determine whether the relation represents a function.
O Yes, It is a function.
No, it is NOT a function.

Answers

Answer:

No, it's not function

Step-by-step explanation:

Every function is a relation but every relation is not a function because:

Function: a special type of relation in which the first-order pairs are different.

In this case {(-3,-4), ......., (-3,5)} these two sets have the same first-order pair.

So, your answer will be 'It's not function.'.

A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.

About how many pancakes can the restaurant make in two hours?
A:99 pancakes
B:198 pancakes
C:251 pancakes
D:310 pancakes

Answers

Answer: B

Step-by-step explanation: I just did this on my test like 30 seconds ago

Answer:b

Step-by-step explanation:

I looked it up SPEED GANG FOR LIFE

You need 600 mL of a 20% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure water will you need to obtain the desired solution?

Answers

Answer:  there 3,000 total milliliters accourding to my calculation

there for your looking for 60% so your answer should be 1800 since 60% of 3,000 is 1800

1800 ML = 60%

Step-by-step explanation:

the math is above

Please answer ASAP for 100 points and brainliest if possible and if its correct
PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

59.40

Step-by-step explanation:

What is the Area of 8 and 3 1/2

Answers

The area of the rectangle with 8 and 3 1/2 units is 28 sq. units.

How to estimate the area of the rectangle?

The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth.

It is given that the length of the rectangle is 8 units and the breadth 3 1/2 units.

the area of the rectangle = length x breadth = 8 x 3 1/2 = 8 x 7/2 = 28 sq. units

So, the area of the rectangle is 28 sq. units.

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ANSWER FAST PLS
Write and solve an equation that represents the following math sentence. Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. 24 = 10.5 + 4.5m; m = 60.75 24 = 10.5 + 4.5m; m = 3 24 equals 10.5 plus m over 4.5; m = 3 24 equals 10.5 plus m over 4.5; m = 60.75

Answers

24 = 10.5 + 4.5m; m = 60.75

24 = 10.5 + 4.5m; m = 3

24 equals 10.5 plus m over 4.5; m = 3

24 equals 10.5 plus m over 4.5; m = 60.75

Answer: I believe the answer is C

Step-by-step explanation: forgive me if im wrong im not completely sure

? 60 Thanks for helping me Will give good feedback

Answers

Answer: F. $1.25

Explanation:

First, we need to find the probability of the coin landing faceup and facedown. We know that landing faceup is 3 times the probability of landing facedown. Since the highest probability is 1 (100%):

[tex]\begin{gathered} 3x+x=1 \\ 4x=1 \\ x=\frac{1}{4}=0.25 \end{gathered}[/tex]

With this, we know that:

probability of the coin landing faceup = 3×0.25 = 0.75

probability of the coin landing facedown = 0.25

To find the expected value of each toss, we need to solve for the total of each value multiplied by its probability:

[tex]\begin{gathered} EV=\$1(0.75)+\$2(0.25) \\ EV=\$1.25 \end{gathered}[/tex]

Therefore, the expected value of each toss of Coin C is $1.25

5. What is the slope that runs through the points (-4, 10) and (-4, 3)?

Answers

To find the slope, we will use the formula;

slope = y₂ - y₁ / x₂- x₁

From the points give,

x₁ = -4 y₁= 10

x₂ = -4 y₂=3

slope = 3 - 10 / -4+ 4

slope = -7/0

slope = ∞

The slope is undefined.

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