Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)

1/7x^2+1=3/7x
smaller value of x =
larger value of x=

Answers

Answer 1

[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]


Related Questions

What is the probability of rolling a number less than or equal to eight with the sum of two dice, given that at least one of the dice must show a 6?

Answers

Answer:

4/11

Step-by-step explanation:

Outcomes that meet your requirement are

 (1, 6), (2, 6), (6, 1), (6, 2)

for a total of 4 favorable outcomes.

There are 11 outcomes in which one die shows a 6.

So your probability would be 4/11.

A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?


Suppose sales would double. What would be true about the commission?

Answers

Answer:

3,120

Step-by-step explanation:

hope it will help you

Each small square on this scale weighs 1 unit. Each larger square weighs 10 units. The weight of the triangle x is unknown. The scale is balanced. Look at the image. A balanced scale. On one side there are four small squares and three large squares each labeled ten. On the other side there are two small squares, two large squares each labeled ten, and a triangle labeled x. Question 1 Part A Write an equation to represent relationship of the weights shown on the scale. Enter the correct answer in the box.

Answers

The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]

The weights are given as:

[tex]Small\ Square = 1[/tex]

[tex]Larger\ Square = 10[/tex]

The total weight on one side, where there are 4 small squares and 3 large squares is:

[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]

[tex]Total =4\times 1 + 3 \times 10[/tex]

[tex]Total =34[/tex]

The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:

[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]

[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]

[tex]Total =2+ 20+ 1\times triangle[/tex]

[tex]Total =22+ 1\times triangle[/tex]

[tex]Total =22+ triangle[/tex]

The weight of the triangle is x.

So, we have:

[tex]Total =22+ x[/tex]

The weights on both sides are equal, because the scale is balanced.

So, we have:

[tex]22 + x = 34[/tex]

Hence, the equation is [tex]22 + x = 34[/tex]

Read more about equations at:

https://brainly.com/question/2972832

Autumn made 72 more cupcakes thsn Averle.If Autumn made 88 cupcakes how many did Averle make

Answers

Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

= 88 - 72

= 16 cupcakes

In conclusion, Averle made 16 cupcakes.

Find out more on this kind of operation at https://brainly.com/question/17829864.

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.

Answers

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

How many groups of are there in 30?​

Answers

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x

A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions

Answers

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2

30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?

Answers

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4

Answers

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

Solve the formula for converting temperature from degrees Celsius to degrees Fahrenheit for C.

Answers

F = 9/5C + 32

F - 32 = 9/5C

C = 5/9(F - 32)

Correct answer: A

Hope this helps! :)

A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.

Answers

The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.

Given :

College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.

The following steps can be used in order to determine the constraints to represent the incoming students at the college:

Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.

Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:

[tex]y = 2x[/tex]

Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:

[tex]0<x \leq 200[/tex]

Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:

[tex]0<y \leq 400[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/19491153

PLS HELP!!! i can’t figure out this problem!!!

Answers

Answer:

  7/9

Step-by-step explanation:

Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.

  [tex]\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}[/tex]

I need help please:(

Answers

Answer: times

Step-by-step explanation:

Bryce wrote the linear regression equation y = 1. 123 x minus 6. 443 to predict the armspan, y, of a person who is x inches tall. Riley has an armspan of 67. 5 inches. Which is the best prediction of Riley’s height? 54. 36 inches 65. 84 inches 66. 55 inches 69. 36 inches.

Answers

The best prediction of Riley’s height is 65.84 inches and it can be determined by using the linear regression equation.

Given that,

Bryce wrote the linear regression equation,

[tex]\rm y=1.123x-6.443[/tex]

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

We have to find,

Which is the best prediction of Riley’s height?

According to the question,

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

The linear regression equation is,

[tex]\rm y=1.123x-6.443[/tex]

Where the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches,

Then,

The best prediction of Riley’s height is,

[tex]\rm 67.5 = 1.123x -6.443\\\\67.5+6.443=1.123x\\\\ 73.943 = 1.123x\\\\ x = \dfrac{73.943}{1.123}\\\\ x = 65.84 \ inches[/tex]

Hence, The best prediction of Riley’s height is 65.84 inches.

For more details about the Equation refer to the link given below.

https://brainly.com/question/9540093

2x²+3x-5=0 квадрані рівняння

Answers

Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

Someone help me please!

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

1) Find slope:

y2-y1/x2-x1

12-8/1-0 = 4/1 = 4

Slope = 4

2) Plug in a point in point-slope form

y-y1=m(x-x1)

y-8=4(x-0) =

y-8=4x-0 -> add 8 to both sides

y=4x+8

solve the equation 3÷7x-1+1÷x=0​

Answers

Answer: The answer is 3x^2 - 7x + 7 = 0.

(3-5i)^2
i know the answer I’m just confused on how to get to that point. Please and thank you!

Answers

[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]

12 for every 2 male birds in a bird cage there are 5 females. What is the ratio of the males to females

Answers

the ratio is two to five

PLEASE EXPLAIN!! I WILL GIVE BRAINLIEST TO WHOEVER EXPLAINS!

If the relationship is proportional, what is the missing value from the table?

–18

–15

15

18

Answers

the answer is 15 ........

after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???

Answers

Answer:

46.85

Step-by-step explanation:

He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85

he A water pail in your backyard has a small hole in it. You notice that it has drained a total of 1.5 liters in 4 days. What is the average change in water volume each day?​

Answers

Answer:

0.375 liters per day

Step-by-step explanation:

1.5 / 4 = 0.375 liters per day

Does 30, 40, 45 make a right triangle?

Answers

Answer:

no these degrees do not make a right triangle

No… a right triangle must have a 90 degree angle

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

3

The area of the parallelogram is 17.6cm. What is the length of the base

Answers

Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

The height of the parallelogram is 4.4 cm.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.

We know that, the area of parallelogram is Base × Height

Now, 17.6 =4× Height

Height =17.6/4

Height =4.4 cm

Therefore, the height of the parallelogram is 4.4 cm.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .​

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Answers

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

Learn more on subject of formula here: https://brainly.com/question/657646

19=5+7x i need explanation it’s two step equation btw

Answers

Answer:

x = 2

Step-by-step explanation:

subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2

Answer:

[tex]\boxed{\sf x=2}[/tex]

Step-by-step explanation:

[tex]\sf 19 =5+7x[/tex]

First, let's swap sides so that all variable terms are on the left hand side.

[tex]\sf 5+7x=19[/tex]

Subtract 5 from both sides:

[tex]\sf 7x=19-5[/tex]

Subtract 5 from 19:

[tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]

[tex]\sf x=2[/tex]

_____________________________________

tASAP HELP + 50 POINTS
Find the value of x. Show all the work

Answers

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

2x=14x=14/2x=7

I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)

Answers

Answer:

Option B, x + 2y = 8

Step-by-step explanation:

When two lines are parallel, their gradients are equal i.e M1 = M2

(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)

Gradient of a line = (y2 - y1)/(x2 - x1)

Using coordinates (-4,0) and (4,-4)

Gradient of the line = (-4-0)/[4-(-4)]

= -4/4+4

= -4/8

= -1/2

Therefore gradient of the parallel line is -1/2

Equation of a line using slope intercept form

(y - y1) = m(x - x1)

The parallel line passes through point (2,3)

y - 3 = -1/2 ( x - 2)

2(y - 3) = -1(x - 2)

2y - 6 = -x + 2

2y + x = 8

I hope this helps you to learn....

please help ASAP! A circular plate has a radius of 13 centimeters.

What is the area of the plate?

Use 3.14 for π.

Answers

Answer:

area = PI x r^2

area = 3.14 x 13^2

area = 3.14 x 169

area = 530.66

Step-by-step explanation:

Plz Mark as brainliest hope this helps

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