[tex] {x}^{2} - 5x + 6 = 0 \: \: the \: numbers \: a \: lies \: between \: the \: roots[/tex]

Answers

Answer 1

Answer:

x is either 2 or 3

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0 [/tex]

(x-3)×(x-2) = 0

x- 3 = 0 ➡x = 3

x -2 = 0➡ x = 2


Related Questions

On a map of Arizona, the scale is 1 inch = 5 inches. The distance between Brady's house and Flagstaff is 23 inches on the map. What is the actual distance between Brady's house and Flagstaff.​

Answers

So we know that 1 inch on the map = 5 inches.

So if Brady's house is 23 inches away from Flagstaff on the map:

23 * 5 = 115.

So 115 inches is the actual distance...

Wait. His house is 9 feet away from Flagstaff? That's cool.

what do i multiply 5/6 by to get 10/12

Answers

Answer:

2

Step-by-step explanation:

you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12

Step-by-step explanation:

[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\

[/tex]

Therefore, answer is 2.

Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?

Answers

Answer:

1

Step-by-step explanation:

use PEMDAS=

2+6=12

12x2=24

48/24=2

2-1= 1

Answer:

2

Step-by-step explanation:

first you do things that are in perrinthes so that would be 2+6 is 8  times 2 because there is another perrinthes so thats 16 then divide 48 by 16 so then you get 3 minus 1 is 2( yeah im bad at spelling)

Which expression is equivalent to 5(8z)

Answers

Answer:40z

Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end

Which decimal is equivalent to 8%

Answers

Answer:

[tex]0.08[/tex]

Step-by-step explanation:

Given : 8%

To find the decimal value of the percentage number

Remove the percentage symbol with 100 in the denominator

gives            

              [tex]\frac{8}{100}\\[/tex]

Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.

Gives =   [tex]0.08[/tex]

So, the decimal equivalent of the given value is  [tex]0.08[/tex]

0.08

Step-by-step explanation:

8% can be written as 8/100 in the fractional form.

now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.

so we will put the decimal point before two digit. in numerator we already have 8.

we need another digit, so we put 0 then the decimal point.

that means 0.08

show work. step by step instructions.
solve for p
4(p+2)=28

Answers

We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

Staci has 90 to buy clothes . She spends 78 at a department store and wants to buy socks that cost 4 per pair. how many pairs of socks can Staci buy?

Answers

Answer:

3 pairs

Step-by-step explanation:

After spending 78 out of 90, Staci has 12 left.

12/4 = 3

Answer:

3

Step-by-step explanation:

90-78=12

4x3= 12

12-12= 0

Fleet charges $8 plus $.90 per pound to ship each package. If the change for shipping a package to Colorado was $19.70 how much did the package weigh

Answers

The package weighed 13 pounds
8+.9x=19.70
-8 -8
.9x=11.7
————
.9
X=13
The package weighed 13 pounds

Urgent!!!

What kind of triangle is this?


Obtuse

Acute

Supplementary

Right

Please help!!!?!!

Answers

Option D:

Right triangle

Solution:

Let us first define obtuse, acute right triangle and supplementary.

Obtuse angled triangle:

If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.

Acute angled triangle:

If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.

Right angled triangle:

If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.

Supplementary:

If sum of the angles is 180°, then the angles are supplementary angles.

But this is not a kind of triangle.

In given triangle one of the angle is 90°.

Therefore, this is a kind of right triangle.

Option D is the correct answer.

What plus what equals to -23?

Answers

Answer:

-78 + 55 = -23

Step-by-step explanation:

Answer:

Step-by-step explanation:

-78+55 = -23

I will give brainliest if right!!!!!!!!

Answers

Answer:

Its 6 dollars, because the unit price is $4 per popover while the unit price for a bannock burger is $10 per burger. You see... If you did your math correctly, you should have a result of $6 from subtracting 4 from 10.

Have a good day!~

Laurie buys four bags of candy with ten pieces of candy in each bag then her father gives her five more pieces of candy Laurie wants to give as much of her candy as she can to each of her six friends and she wants to make sure they get a equal number of pieces how many pieces will be left over if any after Laurie gives her friends the candy

Answers

Answer:

The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.

Step-by-step explanation:

First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.

if EF=FG, then F is the midpoint of EG
what property if equality is that

Answers

In geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

Given that, if EF=FG, then F is the midpoint of EG.

What is the midpoint of a line segment?

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Congruent line segments are 1-dimensional geometrical figures having equal measures. The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Two lines are said to be congruent when they have the same length.

Here, F is the midpoint of EG it bisects the line EG, which is EF=FG

Therefore, in geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

To learn more about the formula of midpoint visit:

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point d is the foot of the
perpendicular from the point o(2, -3)
to the line y = 3x + 1.
(i) Find the length of DO.
(ii) Find the coordinates of the
reflection of A in the line y = 3x + 1

Answers

Answer:

(I) using the equation y=3x+1 at x=2 the length of Line DO is y=3(2)+1

Therefore y=7

(II) the coordinates At x=-3

Y=3(-3)+1=-8

Hence from (I) above also the coordinates are (7,-8)

Step-by-step explanation:

Step 1 :you declare variables

Step 2: you solve the equation at both points on the graph

What are the coordinates of the x-intercepts of the graph of y = (x - 3)(x + 2) ?
(0, 3) and 0, -2)
(0, -3) and (0, 2)
(-3, 0) and (2, 0)
(3, 0) and( -2, 0)

Answers

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) 4th answer

Step-by-step explanation:

The x-intercepts of a quadratic function is the values of x when y equal to zero

If y = (x - a)(x + b), then to find x-intercepts do that:

Put y = 0Equate each bracket by zeroFind the two values of x ( x = a , x = -b)The x-intercepts are (a , 0) and (-6 , 0)

∵ The equation of the graph is y = (x - 3)(x + 2)

- To find the x-intercepts equate y by 0

∴ (x - 3)(x + 2) = 0

- Equate each bracket by 0

∵ x - 3 = 0

- Add x to both sides

∴ x = 3

∵ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

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-5 (-17/2 + 7/2y)-8y=17

Answers

Answer:

17

Step-by-step explanation:

the correct answer: y=1

A number k minus 8.4 is greater than 21.​

Answers

k= 12.6 is the answer

Answer:

30.4

Step-by-step explanation:

30.4-8.4=22

On its first visit to the vet, Emma's kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit,the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten's weight since its first visit?

Answers

Answer: 14.6 % increase

Step-by-step explanation: 44 divided by 30 = 1.46

To decimal = 14.6 percent

Answer:

14.6

Step-by-step explanation:

A rectangle has a perimeter of 48 feet the length and width are scale by a factor of 1.5 what is the perimeter of the resulting rectangle

Answers

Answer: I believe it is 6

Step-by-step explanation:

The formula of perimeter is

P=2(l+w)

so plug in 1.5 for length and width

P=2(1.5+1.5)

your answer should be 6.

need the anwser please

Answers

Answer:

A=60

Step-by-step explanation:

The sum of two numbers is 90. The larger number 14 more than 3 times the smaller number. Find the numbers.

Answers

The numbers are 71 and 19

Solution:

Let "x" be the larger number

Let "y" be the smaller number

Given that,

Sum of two numbers is 90

Therefore,

x + y = 90 ------ eqn 1

The larger number 14 more than 3 times the smaller number

Larger number = 14 + 3(smaller number)

x = 14 + 3y ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

14 + 3y + y = 90

14 + 4y = 90

4y = 90 - 14

4y = 76

Divide both sides by 4

y = 19

Substitute y = 19 in eqn 2

x = 14 + 3(19)

x = 14 + 57

x = 71

Thus the numbers are 71 and 19

A group of cyclists is planning a 50-
mile ride. The cyclists will stop every
10 miles to rehydrate. If each cyclist
will drink x pints of water at each rest
stop, how many pints of water will
each cyclist drink over the course of
the ride?.. ::

Answers

5x pints because 50/10 is 5 and that times x

I need help, this question is confusing because I dont remember learning it! Thanks♡​

Answers

11/4 + 1/4 = 12/4 = 3

Answer:

you want to divide 2¾ by ¼to find how many pieces leah cut.

hope this helps.

Step-by-step explanation:

(Score for Question 3: __of 12 points)
3. The area of a rectangle is 45x^8y^9square yards. If the length of the rectangle is 5x^3y^4 yards,
which expression represents the width of the rectangle in yards?
Answer:

Answers

Answer:

The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].

Step-by-step explanation:

The formula to compute the area of a rectangle is,

[tex]Area=length\times width[/tex]

Given:

Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]

Length = [tex]5x^{3}y^{4}\ yards[/tex]

Determine the expression for the width of the rectangle as follows:

[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]

Thus, the width is [tex]9x^{5}y^{5}[/tex].

Find the distance from G to S. 13 9 √89 √42

Answers

Using the distance formula, the correct answer is Square root 89

Answer:

square root of 89

Step-by-step explanation:

squ^re r00t 0f 89 !s 9

10
Driving. In an emergency, the distance,
d m, it takes for a car moving at a
speed of v m/s to stop completely is
given by d = 0.15v2 + v.
(i) When the car has only 80 m to stop,
show that 3v2 + 20v – 1600 < 0.
(ii) Solve the inequality in part (i) to
find the maximum speed of the car.​

Answers

Answer:

i) The proof is below

ii) The maximum speed is 20m/s

Explanation:

(i) When the car has only 80 m to stop, show that [tex]3v^2+20v-1600<0.[/tex]

The distance, [tex]d[/tex] [tex]m[/tex], it takes for a car moving at a speed of [tex]v[/tex] [tex]m/s[/tex]  to stop completely is given by [tex]d=0.15v^2+v[/tex]

The car must stop before the 80 m, so the distance to stop is less than 80 m:

                       [tex]d<80[/tex]

Substitute:

                      [tex]0.15v^2+v<80[/tex]

Multiply both sides by 20:

             [tex]20\times 0.15v^2+20\times v<20\times 80\\\\3v^2+20v<1600[/tex]

Subtract 1600 from both sides:

            [tex]3v^2+20v-1600<0[/tex]

Which is the expression you wanted to prove.

(ii) Solve the inequality in part (i) to find the maximum speed of the car.​

To solve the inequality you need to factor the left side:

Put 20v as 80v - 60v

         [tex]3v^2+80v-60v-1600<0[/tex]

Use commutative property of addition

         [tex]3v^2-60v+80v-1600<0[/tex]

Use associative property

         [tex](3v^2-60v)+(80v-1600)<0[/tex]

Factor each binomial:

        [tex]3v(v-20)+80(v-20)<0[/tex]

Common factor [tex](v-20)[/tex]

          [tex](v-20)(3v+80)<0[/tex]

There are two possible solutions: 1) the first factor is positive and the second negative, and 2) the first factor is negative and the second positive.

         

1. First tentative solution

              [tex]v-20>0\\\\v>20\\\\3v+80<0\\\\3v<-80\\\\ v<-80/3\\\\v<-26.26[/tex]

The speed cannot be greater than 20m/s and less than - 26.26 m/s at the same tine, thus, there are not solutions for this assumption.

2. Second tentative solution

              [tex]v-20<0\\\\v<20\\\\3v+80>0\\\\3v>-80\\\\ v>-80/3\\\\v>-26.26[/tex]

You are looking for an upper bound, thus the solution is that the speed is less than 20m/s.

11. Ben is saving money to buy a TV that costs $495,
including tax. Ben opens a savings account with a
deposit of $75 and deposits $65 at the end of each
month. What is the minimum number of months Ben
will need to make deposits until he has enough money
in his account to buy the TV ? .

Answers

Answer:

7 months

Step-by-step explanation:

equation:

75+65x

75+65(6)=465 <495

75+65(7)=530>495

Final answer:

Ben will need to make deposits for at least 7 months to have enough money to buy the TV.

Explanation:

To determine the minimum number of months Ben will need to make deposits until he has enough money to buy the TV, we can set up an equation.

First, subtract the initial deposit of $75 from the total cost of the TV ($495) to find out how much more money Ben needs: $495 - $75 = $420.Next, divide the remaining amount needed by the monthly deposit of $65: $420 ÷ $65 = 6.46.Since Ben cannot make a fraction of a month, we round up the decimal value to the nearest whole number. Therefore, Ben will need to make deposits for at least 7 months to have enough money to buy the TV.

Learn more about determining the number of months needed to save for a purchase here:

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Helena said that 12 ÷ 1/3 is 4. Draw a model and use words to explain why halina statement is not reasonable.

Answers

I can’t necessarily draw a model, lol but I can try my best to type one.
12/(1/3)=12•(3/1)=36

Tyler plans to snowboard for 7 days. A daily ticket costs $50, but there is a
discount of $40 off the total if you ski for 7 or more days. If Tyler goes to the
ticket counter with $340, how much change does he get back?
Which of the following sets of equations correctly represents this situation?

Answers

Answer:

Step-by-step explanation:

$8.75

Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.

To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.

Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.

Without the discount, the cost for 7 days would be 7 days * $50/day = $350.Applying the discount, the total cost becomes $350 - $40 = $310.

Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:

$340 - $310 = $30

Therefore, Tyler will receive $30 in change.

express each fraction as the sum of two or three equal fractional parts. rewite each as a multiplication equation. show part a on a number line.

Answers

See the explanation

Explanation:

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:

CHOSEN FRACTION:

[tex]\frac{16}{15}[/tex]

1. Written as the sum of two equal fractional parts:

[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]

2. Written as  a multiplication equation:

[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]

The addition problem is shown below in the number line.

Learn more:

Distributive property: https://brainly.com/question/769410

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