Use any method to solve the equation. If necessary, round to the nearest hundredth. 9x^2 = 17

Answers

Answer 1

Answer:

1.37

Step-by-step explanation:

First, we want to isolate the variable x. Do this by dividing both sides by 9:

[tex]\frac{9x^2}{9} =17/9[/tex]

[tex]x^{2} =17/9[/tex]

Now, square root both sides:

[tex]\sqrt{x^2}= \sqrt{17/9}[/tex]

x = [tex]\sqrt{17/9} =\sqrt{17}/3[/tex]

Finally, we can use a calculator to finish off the problem:

x = [tex]\sqrt{17}/3[/tex] ≈ 1.37

Hope this helps!

Answer 2

9x^2 = 17

Divide both sides by 9

X^2 = 17/9

Take the square root of both sides

X = sqrt(17/9) and -sqrt(17/9)

Simplify:

X = sqrt(17)/3 and -sqrt(17)/3


Related Questions

Find the difference.
(6x +9) - (7x+1) =

Answers

Answer:-x+8

Step-by-step explanation:

So in this case we have to combine alike variables for this question.

(6x+9)-(7x+1)

     -9       -9

                     

6x-7x+-8

We had to isolate in this case thats why both alike terms were getting subtracted by 9.

Then we just combining 6x-7x since they are alike terms.

-1x+8

-1x and -x are the same thing but if you want to make it more complex, the real answer is  -x+8

(I hope you find this helpful ;w;)

Answer:

-x+8

Step-by-step explanation:

Which graph is the solution to the inequality?

Answers

Answer:

A

Step-by-step explanation:

1) subtract 2 from both sides:

-3x≤12

x≥-4(sign flips since we divided by a negative)

so the graph would be  A

since "the equal to" means its a closed circle

Hope this helps!

Answer:

B,A,C

Step-by-step explanation:

expression is to phrase as inequality is to _______________.

Answers

Answer:

inequality is greater than or less than or equal to

Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
If on the last day of the trip, Paula randomly selected 4 fish to donate to fishermen who
hadn't caught any fish that day, what is the probability that all of them are trout?
Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

.7143

Step-by-step explanation:

there are 5 trouts so 5/7

Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 30 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches. What scale is Alexander using?

Answers

Answer:

Step-by-step explanation:

First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3​000 ft = 1 in/300 ft

The scale for the drawing is 1 in:300 ft.

We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.

1200 ft times 1 in/300 ft = 4 in.

Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.

8 into 6482 what is the placement value​

Answers

Answer:

It is 80.

Step-by-step explanation:

It's pretty simple-> Thousands, Hundreds, Tens, Ones.

Answer:

The tens place

Step-by-step explanation:

place values:

6000

400

80

2

Elise is going to solve the equation shown below. Which of the following statements are correct?
X/8 = 12.5

A. Elise should subtract 8 from both sides.
B. Elise should divide both sides by 8.
C. Elise should multiply both sides by 8.
D. Elise should subtract 12.5 from both sides.

Answers

Answer:

C. Elise should multiply both sides by 8.

Step-by-step explanation:

We need to undo what is being done to x

We are dividing x by 8, so to undo it we do the opposite.

The opposite of dividing is multiplication.

We multiply each side of the equation by 8

Jeff has $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?

A. $5.50
B. $7.00
C. $8.25
D. $9.50

Answers

Answer:

D. $9.50

Step-by-step explanation:

In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)

He has 19/40 left.

19/40*20=380/40=9.5

First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.

2/5 = 16/40

1/8 = 5/40

Then, we'll add the fractions together.

16/40 + 5/40 = 21/40

So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.

x/20 = 21/40

420 = 40x

x = 10.50

Finally, we'll subtract the amount that Jeff spent from the original amount.

20 - 10.50 = 9.50

Jeff has D. $9.50 left.

Hope this helps!! :)

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).
The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply.
The rate of change of a linear function is always the same.
The rate of change of a linear function increases as the input increases.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Answers

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

Which of the following is a solution of the inequality h + 9 <20?
A. 13
B. 12
c. 11
D. 10​

Answers

D. You subtract 9 from both sides and you have: h<11 . 10<11

Answer:

D.10

Step-by-step explanation:

if you just add the other numbers in place of variable h

13+9=22

12+9=21

11+9=20

10+9=19

only one addition problem adds up to a sum below 20 that being 10 so the answer is D

What is the solution system y=2/3x-2 y=-x+3

Answers

Answer:

x = 3 , y = 0

Step-by-step explanation:

Solve the following system:

{y = (2 x)/3 - 2 | (equation 1)

y = 3 - x | (equation 2)

Express the system in standard form:

{-(2 x)/3 + y = -2 | (equation 1)

x + y = 3 | (equation 2)

Swap equation 1 with equation 2:

{x + y = 3 | (equation 1)

-(2 x)/3 + y = -2 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{x + y = 3 | (equation 1)

0 x+(5 y)/3 = 0 | (equation 2)

Multiply equation 2 by 3/5:

{x + y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 3 , y = 0

Final answer:

To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.

Explanation:

The given system of equations is:

y = \frac{2}{3}x - 2

y = -x + 3

To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:

y = -x + 3

Now, substitute this value of y into the first equation:

\frac{2}{3}x - 2 = -x + 3

Add x to both sides:

\frac{2}{3}x + x - 2 = 3

Multiply both sides by 3 to eliminate the fraction:

2x + 3x - 6 = 9

Combine like terms:

5x - 6 = 9

Add 6 to both sides:

5x = 15

Divide both sides by 5:

x = 3

Now, substitute the value of x back into one of the original equations to solve for y:

y = -x + 3

y = -3 + 3

y = 0

Therefore, the solution to the system of equations is x = 3 and y = 0.

Learn more about Systems of Equations here:

https://brainly.com/question/35467992

#SPJ3

Frank wants to earn as many points as possible in one turn in a game. Two number cubes whose
sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points
are awarded in the turn.
OPTION A. If the sum of the rolls is a prime number, Frank receives 12 points
OPTION B. If the sum of the rolls is a multiple of 4. Frank receives 24 points
Which statement best explains the option he should choose?

Will give brainliest!!!

Answers

Answer:

Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points

Which statement best explains the option he should choose?

Step-by-step explanation:

Test

3a + b = 7
and
6x + 8y = 40
Show that 9a + 3b has a greater value than 3x + 4y
ANYONE HELP PLS

Answers

Answer:

3a + b = 7

6x + 8y = 40

9a + 3b is 3*(3a + b)  or 7*3 = 21

3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3

So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3

What is the value of (5.3 times 10^4) (4.2 times 10^3) in scientific notation?
A 2.226 times 10^6
B 22.26 times 10^7
C 2.226 times 10^8
D 22.26 times 10^12

Answers

Answer:

C 2.226 times 10^8

Step-by-step explanation:

5.3* 10^4    * 4.2 * 10^3

We multiply the numbers out front

5.3* 4.2 =22.26

We add the exponents

10^(4+3) = 10^7

22.26*10^7

But we are not done yet because The number out front has to be between 1 and less than 10

Move the decimal 1 place to the left and add 1 to the exponent

2.226 * 10 ^(7+1)

2.226*10^8

Answer:

C

Step-by-step explanation:

(5.3 times 10^4) (4.2 times 10^3)

5.3 × 4.2 × 10⁴ × 10³

22.26 × 10⁷

2.226 × 10⁸

Help two helpless triangles?

Answers

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

Find the value of x.

Answers

Answer

I guess it my be 8. can you try it ?

Step-by-step explanation:

Please please answer this correctly I have to finish this today as soon as possible

Answers

Answer:

Step-by-step explanation:

Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).

Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).

Find the surface area of the figure.
A) 136 in2
B) 224 in2
C) 236 in2
D) 248 in2



worth 20 points

Answers

B, 224in2

It may get tedious but just find the area of each face and write them down

If x negative squared = 16, what is the value of x squared?
A. 1/16
B. 1/4
C. 2
D. 4
E. 12

Answers

Answer:

Step-by-step explanation:

[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]

Cross multiplication,

[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]

I think it a because 1over 16 can equal positive 16

A pile of earth removed from an excavation is a cone measuring 9 ft high and 24 ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 9 cubic yards?

Answers

Answer: It would take 6 trips

Step-by-step explanation: The pile of earth has formed into a cone with the following dimensions, height is 9 feet and base diameter is 24 feet across.

However the haulage truck has its capacity measured in yards, and so we use a standard rate of conversion of yards to feet and vice versa. The standard rate is;

1 Yard = 3 Feet

Hence, the height of the pile of earth an now be given as;

h yards = 9/3

h yards = 3

height = 3 yards

Similarly, the the base of the pile of earth can be calculated as;

(Note that the radius is derived as diameter divided by 2, that is 24/2)

r yards = 12/3

r yards = 4

radius = 4 yards

The volume of a cone is given as;

Volume = πr²h/3

Volume = 3.14 x 4² x (3/3)

Volume = 3.14 x 16

Volume = 50.24 cubic yards

For a haulage truck that can haul 9 cubic yards per trip, the total number of trips required to haul the entire volume of dirt is given as follows;

No of trips = 50.24 ÷ 9

No of trips = 5.5822

No of trips ≈ 6

Therefore it would take the truck 6 trips to haul the entire pile of earth.

Answer:

6 trips

Step-by-step explanation:

Circle
has a circumference of 367 cm.
What is the length of the radius, ?
O
6 cm
18 cm
Save and Exit
Next
Submit

Answers

Answer:

r≈58.41cm

hope i helped

if i can have brainliest that would be great

Answer:

6 cm

Step-by-step explanation:

circumference = 3.14 times the diameter, which is half of the radius.

I think you meant 36.7 cm

if you divide 36.7 by 3.14, you get the diameter (11.687). half of that is 5.843cm.

the closest to that is 6cm

If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?


Answers

To solve this you need to use this formula: 1/2Pi x D

So we can multiply 0.5 x 3.14 x 1.7

Your answer is 2.669

What is the mode of the following numbers?
3,5,6,7,9,6,8

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In this set of numbers 6 is the number that is most often seen

-x - 6y - z = -11 3x - 5y - 3z = 23 3x + 5y + 4z = 1

Answers

6x+7=12fhfjsjuahdhfuduwjsjsj

Write as a mathematical expression and solve. The sum of a number and 8 times the number is 45. Find the number. plz help fast

Answers

N+8=45

N+8=45
-8 -8
N=37

Answer:

Step-by-step explanation:

Let the number of x

8 times of the number = 8*x = 8x

x+ 8x = 45

9x = 45

x = 45/9

x = 5

Find i’ll mark brainly

Answers

Answer:

48 units ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

b1 = AT = 4*2 = 8 units ( watch the scale)

b2 = SR = 2*2 = 4 units ( watch the scale)

h = The line that S is at the to line that T is at along the x axis

  = 4*2 = 8 units ( watch the scale)

A = 1/2 ( 8+4) * 8

   = 1/2 *12*8

  = 48 units ^2

Answer:

48 units²

Step-by-step explanation:

ARST is a trapezoid

1 block = 2 units

½ × (4 + 8) × 8

48 units²


If 24% of the sixth grade class is in Mrs. White's class, and Mrs. White has
30 students, how many sixth graders are there in all?

Answers

Answer:

let,there are x sixth graders

then,

24% of x=30

or,24/100×x=30

or,6x/25=30

or,x=(30×25)/6

therefore,

x=125

HOPE IT HELPS

If h(t) = t^2/3 – 9 and j(t) = 3t + 5t^2/3,
what is h(t) – j(t)?
A) -4t^2/3-3t-9
B) 4t^2/3+3t+9
C) 3t+6t^4/3
D) -7t^7/3-9

Answers

Answer:

A

Step-by-step explanation:

[tex]h(t)-j(t)=t^{\frac{2}{3}}-9-[3t+5t^{\frac{2}{3}}]\\\\=t^{\frac{2}{3}}-9-3t-5t^{\frac{2}{3}}\\\\=t^{\frac{2}{3}}-5t^{\frac{2}{3}}-3t-9\\\\=[1-5]*t^{\frac{2}{3}}-3t-9\\\\=-4t^{\frac{2}{3}}-3t-9[/tex]

Solve for x -10x=-200

Answers

Answer:

x = 20

Explanation:

Let's solve your equation step-by-step.

−10x = −200

Step 1: Divide both sides by -10.

−10x /−10  =  −200 /−10

x = 20

Answer:

x = 20

Step-by-step explanation:

-10x=-200

x = -200/ -10

x = 20

Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is
21 inches long in the drawing. What scale did Carter use for the drawing?
1 inch :
feet

Answers

Answer: what is the question??

Step-by-step explanation:

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At t = sec, the block reaches its maximum displacement of 40 cm to the left of equilibrium. a. Determine the value of each of the following quantities. Show all work. period: spring constant: b. Using x(t) = A cos(t + o) as the solution to the differential equation of motion: i. Determine the form of the function v(t) that represents the velocity of the block. ii. Evaluate all constant parameters (A, , and o) so as to completely describe both the position and velocity of the block as functions of time. c. Consider the following statement about the situation described above. "It takes the first seconds for the block to travel 40 cm, so the initial speed vo can be found by dividing 40 cm by seconds." Do you agree or disagree with this statement? If so, explain why you agree. If not, explain why you disagree and calculate the initial speed vo of the block. which of the following radical expressions is equivalent to.... find the radius of the sphere with a volume of 32/81 cubic yards. 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