Use the quadratic formula to formula to find both solutions to the quadratic equation given below. 3x^2-x+6=0

Answer:   [tex]\bold{\dfrac{3\pm \sqrt{65}}{14}}[/tex]

Step-by-step explanation:

[tex]7x^2-3x=2\quad \rightarrow \quad 7x^2-3x-2=0\quad \rightarrow \quad a=7,\ b=-3,\ c=-2\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(7)(-2)}}{2(7)}\\\\\\.\ =\dfrac{3\pm \sqrt{9+56}}{14}\\\\\\.\ =\dfrac{3\pm \sqrt{65}}{14}[/tex]

Yeah, it seems the right answer!

Answer:

51%

Step-by-step explanation:

Add up the tallies, as follows:  17+24+9+19.  Then divide the "cycling" tally (24) by this sum ( 69), obtaining the "observed probability that the customer will want to cycle"):  p = 24/69 = 34.7%.

Volume of a cylinder

[tex]\pi \times {r}^{2} \times h[/tex]

larger cylinder: r=2, h=28

volume of larger cylinder lets say (V) :

[tex]\pi \times {2}^{2} \times28 \\ = 4 \times 28\pi =112\pi[/tex]

vokume of smaller cylinder lets say (v): r=2, h=7

[tex]\pi \times {2}^{2} \times 7 \\ = 4 \times 7\pi = 28\pi[/tex]

so the ratio= volume of largercylinder/ volume of smaller

[tex]ratio = \frac{112\pi}{28\pi} \\ = \frac{4}{1} [/tex]

so in ratio terms the

Ans: 4:1

The ratio of the volume of the larger cylinder to the smaller cylinder is 4:1, calculated using the volume formula for cylinders, V = πr²h.

To calculate the ratio of the volumes of two cylinders, we need to use the formula for the volume of a cylinder, V = (πh), where r is the radius and h is the height.

For the first cylinder with a height of 7 cm and a radius of 2 cm, the volume is V₁ = 3.14 (2 cm) (7 cm) = 88.36 cm³.

For the second cylinder with a height of 28 cm and the same radius, the volume is V₂ = 3.14 (2 cm) (28 cm) = 353.44 cm³.

The ratio of V2 to V1 is then 353.44 cm³ / 88.36 cm³, which simplifies to 4:1.

Part A:

Mowing lawns: 1= $12 2= $24 3=$36 4= $48 5= $60

Walking dogs: 1= $9 2= $18 3= $27 4= $36 5= $45

I hope this helps you.

Part A:

-Chart one-

1-12

2-24

3-36

4-48

5-60

-Chart two-

1-9

2-18

3-27

4-36

5-45

Part B:

Plot these with circles (1,12), (2,24), (3,36), (4,48), (5,60)

Plot these with squares (1,9), (2,18), (3,27), (4,36), (5,45)

i think it is 588 but I am not 100percent sure

Answer:

588.827

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 because :

3+9=12

12×3=36

36-16=20

20+7=27

Answer:

Refer to step-by-step.

Step-by-step explanation:

1. x = 4

x + 3 = 7

x = 7-3

x = 4

2.  x = 25

We need to use the Pythagorean theorem to find x.

a² + b² = c²

15² + 20² = x²

225 + 400 = x²

652 = x²

√652 = √x²

x = 25

3. x = 12

Line NP and Line QP will have the same measurement.

x = 12

4. x = 29.41

We need to use the Pythagorean theorem to find x.

a² + b² = c²

24² + 17² = x²

576 + 289 = x²

865 = x²

√865 = √x²

x = 29.41

5. NO

We apply the Pythagorean theorem to find if they are tangent.

a² + b² = c²

9² + 40² = 41²

81 + 1600 = 2500

1681 = 2500 NO

6. NO

a² + b² = c²

4² + 12² = 13²

16 + 144 = 169

160 = 169 NO

7. NO

a² + b² = c²

20² + 21² = 28²

400 + 441 = 784

841 = 784 NO

8. YES

a² + b² = c²

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500 YES

52 cups.

3.35 times 52 equals 174.20

2.45 times 77 equals 188.60

So 52 cups of apple cider were sold in total.

Answer:

 The number of cups of apple cider sold was 60 cups

Step-by-step explanation:

We will develop equations to solve this problem.

Let a= price for a cup of apple cider in dollars

Let b= price for a donut in dollars

Let x = number for cups of apple cider sold

Let y= number of donuts sold

Let z = number of items sold on the day = 126 items

Let v = total money made = $362.70

Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.

z = x + y

x = z- y (1)

v = ax + by (2)

we substitute equation 1 in to equation 2

v = a(z-y) +by = az -ay +by = az +y(b-a)

solve for y

y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold

therefore x = z-y = 126-66 = 60 cups of apple cider were sold

The center of the circle that can be circumscribed about Triangle EFG with E(2,2), F(2,-2), and G(6,-2) is (2, -2).

To find the center of the circle circumscribed about triangle EFG, we can first find the midpoint of EF and the midpoint of FG.

These midpoints will lie on the perpendicular bisectors of EF and FG respectively.

The intersection of these bisectors will give us the center of the circle. Let's calculate it step-by-step:

Step 1: Find the midpoint of EF.

Midpoint of EF = ((2+2)/2, (2-2)/2) = (2, 0).

Step 2: Find the midpoint of FG.

Midpoint of FG = ((2+6)/2, (-2-2)/2) = (4, -2).

Step 3: Find the equation of the perpendicular bisector of EF.

The slope of EF = (0 - 2)/(2 - 2) = undefined. The midpoint of EF is (2, 0).

Hence, the equation of the perpendicular bisector of EF is x = 2.

Step 4: Find the equation of the perpendicular bisector of FG.

The slope of FG = (-2 - (-2))/(6 - 2) = 0. The midpoint of FG is (4, -2).

Hence, the equation of the perpendicular bisector of FG is y = -2.

Step 5: Solve the equations of the perpendicular bisectors to find the center of the circle. Since x = 2 and y = -2, the center of the circle is (2, -2).

Final answer:

To find the center of the circle that can be circumscribed about Triangle EFG, use the midpoint formula and equations of the perpendicular bisectors.

Explanation:

To find the center of the circle that can be circumscribed about Triangle EFG with coordinates E(2, 2), F(2, -2), and G(6,-2), we can use the following steps:

Find the midpoint of each side of the triangle, which will be the center of the circle.

Use the midpoint formula to find the coordinates of the midpoints of EF and FG.

The center of the circle will be the point where the perpendicular bisectors of each side intersect.

Find the equation of the perpendicular bisectors of EF and FG.

Solve the system of equations formed by the equations of the perpendicular bisectors to find the coordinates of the center of the circle.

The center of the circle that can be circumscribed about Triangle EFG is (-2/3, -4/3).

Answer:

Fraction form: x = ln(5)/ln(10)

Decimal form: 0.69897000

please mark brainliest

Answer:

4/5

Step-by-step explanation:

Answer: [tex]m= \frac{4}{5}[/tex] or [tex]m= 0.8[/tex]

(0,0) = (x1,y1)

(5,4) = (x2,y2)

Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]

         = [tex]\frac{4-0}{5-0}[/tex]

         = [tex]\frac{4}{5}[/tex]

As decimal

         = [tex]0.8[/tex]

ANSWER

The height is 6 units.

The base is 2 units.

EXPLANATION

The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

To find the height of the rectangle, we use the points (-2,7) and (-2,1) or

(-4,7) and (-4,1) because they form the vertical side of the rectangle.

The height is

[tex]|7-1|=6 units[/tex]

To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).

The base is

[tex]|-2--4|=2 units[/tex]

Answer: The base is 2 units and the height is 6 units.

Step-by-step explanation:

You can plot the points  (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.

As you can see in the figure, the distance between the points of the base is:

[tex]d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2[/tex]

Then the lenght of the base is 2 units

The distance between the points of the height is:

 [tex]d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6[/tex]

Then the height is 6 units

Answer: ¨A¨ is congruent due to SSS. ¨B¨ is not because corresponding sides are not congruent. ¨D¨ is congruent due to AA. Can´t see all of ¨C¨

Step-by-step explanation:

16-20 are correct. Remember to mark the first #20 as A

The last #20 is wrong. The answer is B. 95 minutes.

10:55 - 11:00 =  5 minutes

11:00 - 12:00 = 60 minutes

12:00 - 12:30 = 30 minutes

            Total = 95 minutes

The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.

In one hour they can make 1/28 of the manuals.

1/(28*5)=1/140 is the rate.

The new photocopier can make all the manuals in 4/140 or 35 hours.

The old one can make them in 140 hours.

Answer:

Distance - The number of units between two numbers or points, regardless of direction.

Inequality - Sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠

Opposite numbers - Two numbers that are the same distance from zero on the number line but in opposite directions.

Absolute Value - The distance from zero on the number line.

The question matches mathematics concepts like absolute value, inequality, opposite numbers, and distance.

https://brainly.com/question/26854035

#SPJ2

ANSWER

(-2,-3); minimum

EXPLANATION

The vertex is the minimum or maximum point on a parabola.

The graph of the function opens upwards.

Therefore the vertex will be the minimum point on the graph.

From the graph, the minimum point is (-2,-3).

Therefore the vertex is (-2,-3).

The second choice is correct.

Answer: the answer is 6x + 12y

Step-by-step explanation:

6x+12y will be the answer for this!

$6 was her dessert. you do 20x0.3=6

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Answer:  

The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

Step-by-step explanation:

The expression is given to be :

[tex](3^{2})^{-2}[/tex]

Now, we need to find a expression which is equivalent to this given expression.

[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]

Hence, The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

Answer:

Step-by-step explanation:

Answer:

The answer is graph D.

Your welcome:))))

Answer:

the answer would be JKL

Step-by-step explanation:

Answer:

20 girls.

Step-by-step explanation:

The girl to boy ratio is 10 to 2.

Insert the multiplier m and write an equation for the total number of students:

10 m + 2 m = 24, or

12 m = 24.  Then m = 2.

The number of girls is 10(m) = 10 m = 10(2) = 20.

The number of boys is 2(m) = 4

Note that 20 (girls) + 4 (boys) = 24 (students), as specified.

Note that 20/4 = 10/2, which is the given ratio.

Answer:

20 girls

Step-by-step explanation:

if there are 10 girls to 2 boys when you doble it you get 20 girls to 4 boys but when you add 20 and 4 together you get 24 students

The equation is [tex]\[ 130x + 150y = 1920 \end{cases} \][/tex]

Let's represent the number of months Lance lived in Portugal as x and the number of months he lived in Brazil as y.

Since Lance lived in Portugal for x months and learned 130 words per month, the total number of words he learned in Portugal is 130x.

Similarly, since Lance lived in Brazil for y months and learned 150 words per month, the total number of words he learned in Brazil is 150y.

We're given that the total number of words Lance learned is 1920. So, the system of equations representing this situation is:

[tex]\[ \begin{cases} 130x + 150y = 1920 \\x + y = 14 \end{cases} \][/tex]

The first equation represents the total number of words Lance learned, and the second equation represents the total number of months he spent in both countries combined.

Final answer:

The correct equation is c=3.5h+15, where c is the total rental cost and h is the number of hours the kayak is rented. The equation includes a fixed fee of $15 and a variable hourly rate of $3.50. The correct answer is option (A).

Explanation:

The equation representing the function for the total cost c, to rent a kayak for h hours, is A. c=3.5h+15. This equation consists of a fixed cost and a variable cost.

The fixed cost, or y-intercept, is the initial $15 fee required to rent the kayak, which is represented when h=0. The variable cost, or slope, is $3.50 per hour of rental, indicating that for each additional hour h, the cost increases by this amount.

Answer:

The correct answer option is 'then'.

Step-by-step explanation:

The "to prove" part of the information is the 'then' of the "if-then" statement.

For example, we have this problem:

[tex] y = 2 x - 1 [/tex]

If [tex] x = 3 [/tex], then find the value of y.

Here in this problem, we are asked that 'if' the value of x is true then prove it by substituting in the value.

Answer:

The answer is Then.

Step-by-step explanation:

The "to prove" part of the information is the THEN of the "if-then" statement.

If is the question like, it is not validated. You are asking something if it holds true.

For example: If it rains heavily, then water bodies fill up.

So, here you are proving that water bodies fill if rains are heavy.

Another example: If a = 3 and b = 6 then a+b = 9

We can see that 3+6=9

Then it is proved that a + b = 9

Answer:

Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?

A.  96

B.  592

C. 248

D.  82

Step-by-step explanation:

(31+43) x 8 =

74 x 8 = 592

Answer: The answer would be B!

Step-by-step explanation:

31 minutes for jogging + 43 minutes for weight lifting = 74 minutes in total !

73 minutes a day x 8 days = 592 minutes

Hope this helped ! :)

Answer:

1. b ,2.c ,3.b

Step-by-step explanation:

well there’s 360 degrees in one circle so it’s just 270/360 which is 1/4 . you’re welcome and brainliest would be nice ty

Answer:

¾

Step-by-step explanation:

Your diagram shows that moving the hand 270° covered three of the divisions of the circle.

A circle consists of four equal parts, and you covered three of them.

Thus, 270° is ¾ of a complete turn.