help pls
with step by step explanation
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The solution of the quadratic equation is (ii) 0 and 6. (iii) Imran's father was 30 years old when Imran was born.

Quadratic equation in one variable is generally of the form of ax²+bx+c=0 where x is the variable and a, b and c are constants.

The degree of a quadratic polynomial is 2 and there are 2 solutions for a quadratic equations.

The graph of a quadratic equation is parabolic in shape.

Imran's father is x² years  when Imran is x years. So after 4x years:

Imran's father's age=x²+4x

Imran's age=x+4x=5x

Now Imran's father is twice as old as Imran

∴2×(5x)=x²+4x

or, 10x=x²+4x

or, x²-6x=0

Hence the equation reduces to a quadratic equation of the form x²-6x=0.

ii) Solving the quadratic equation:x²-6x=0

Breaking into factors we get:

or, x(x-6)=0

either x=0 or x-6=0 or, x=6

Therefore the solution of the equation is 0,6 .

iii) When x=6 i.e, Imran is 6 years old,

age of his father = x²=6²=36 years.

So when Imran was born 6 years ago age of his father=36-6=30 years old.

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The simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

The expression is given as

3/x+1 - 1/x-1 - 2x/x^2+1

Take the LCM of the first two terms

So, we have

(3x - 3 - x - 1)/(x^2 - 1) -  2x/x^2+1

This gives

2x - 4/(x^2 - 1) -  2x/x^2+1

Take the LCM

[(2x - 4)(x^2 + 1) -2x(2x^2 - 1)]/(x^4 - 1)

Expand

[2x^3 - 4x^2 + 2x - 4 - 4x^3 + 2]/[x^4 -  1]

Evaluate the like terms

[-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

Hence, the simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 -  1]

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Using proportions, it is found that 38 spaces are suitable for non-compact cars.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

38 spaces are suitable for non-compact cars.

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Answer:

-1/25, 1/18, -2/9

Step-by-step explanation:

The additive inverse of a number is also called the reciprocal. The reciprocal is the number that is multiplied to get 1.

The equation to find the number of flyers is 10 x + 30 = 250 and the flyers he will hand over each day is 22.

Number of flyers handed out = 30

Total number of flyers = 250

The equation will be:

30 + 10 x = 250

Solving the equation, we get that:

Subtract 30 from both the sides:

10 x = 250 - 30

10 x = 220

Divide both sides by 10:

x = 220 / 10

x = 22

Therefore, the equation to find the number of flyers is 10 x + 30 = 250 and the flyers he will hand over each day is 22.

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Answer:

D

Step-by-step explanation:

2x - 14x = 12x

3x²

6y + 7y = 13y

3²-12x-13y

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

Amount of kerosene in first tanker = 850 litres

Amount of kerosene in Second tanker = 680 litres

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times will be the HCF of amount of kerosene in first tanker and amount of kerosene in second tanker i.e., HCF of 850 litres and 680 litres.

To calculate HCF of 850 and 680 , we can write

850 = 2 × 5 × 5 × 17

680 = 2 × 2 × 2 × 5 × 17

HCF of 850 and 680 = 2 × 5 × 17 = 170

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

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Answer:

A

Step-by-step explanation:

For 13 months the membership is done using the equivalent of two given monthly fees for community and workout gym.

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value. By dividing both numbers by the same number, one can convert a division problem into an analogous problem while keeping the ratio between the two numbers constant. The equivalent is defined as something that is almost identical to or equal to another object. Two numbers that are equivalent are (2+2) and 4. These two things are equivalent since 2+2=4. equal to make equivalent.

Let x be the months

then community month= workout month

60+70x=190+60x

⇒70x-60x=190-60

⇒10x=130

⇒x=13 be the months be the working.

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Answer:

Odd

Step-by-step explanation:

If n is even, we can assign it any even number, like 2. after every even comes an odd, so 2+1=3. Just like 4+1=5, the next number after any even is odd.

The length in inches of the triangle will be (A) 6, 8, 10.

As a result, in item a:

As a result, it is a right triangle.

Item b:

It's not a perfect triangle.

Item c:

It's not a perfect triangle.

Item d:

Therefore, the length in inches of the triangle will be (A) 6, 8, 10.

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The correct question is given below:
Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle. Which choice below could be the lengths, in inches, of the sticks rosemary cut?

A. 6, 8, 10.

B. 2, 5, 10.

C. 5, 6, 7.

D. 2, 3, 5.

The length of each lap around the lake is 8976 feet.

We are informed that Diane cycled 8 laps around the lake. Also, Diane covered total distance of 71,808 feet. So, length of 8 laps = total distance covered by Diane. Hence, the length of each lap will be calculated by performing division.

Length of 1 lap = total distance covered by Diane ÷ length of 8 laps

Keep the values in formula to find the length of each lap.

Length of each lap = 71,808 ÷ 8

Performing division to find the length of each lap

Length of each lap = 8976 feet

Thus, the length of each lap around the lake is 8976 feet.

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600 kcal, when converted, is equivalent to 2380 BTU, 2.51 x 10^6 joules, and 0.70 kwh.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume, etc. to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

kcal, BTU, joules, and kwh are all units of energy. To convert kcal to these units, we can use the following conversions:

1 kcal = 3.96567 BTU

1 kcal = 4184 joules

1 kcal = 0.00116222 kwh

Converting 600 kcal to BTU, joules and kwh:

1 kcal = 3.96567 BTU

600 kcal = 600(3.96567 BTU)

600 kcal = 2379.4 BTU ≅ 2380 BTU

1 kcal = 4184 joules

600 kcal = 600(4184 joules)

600 kcal = 2.51 x 10^6 joules

1 kcal = 0.00116222 kwh

600 kcal = 600(0.00116222 kwh)

600 kcal = 0.697333 kwh ≅ 0.70 kwh

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Greetings from Brasil...

We have 2 ways to solve:

1 - through the expression of the slope m (attached figure 1)

2 - determinat (attached figure 2)

1:

m = ΔY/ΔX

as m = 1, as stated in the statement, then

1 = (- 9 - w)/(-6 - 10)

check attachments

________________________________

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Answer:

I am not so sure but the answer I think is 1st option

Answer:

15

Step-by-step explanation:

I can't explain lol its 15 tho

The required time can be found by using the least common multiple. The waiting time is 15 days.

In accordance with this question, Aaron publishes a new article every 3 days and a new podcast every 5 days and we need to determine the minimum period until a new article and a new podcast are published on the same time.

Greatest common factor is the maximum integer that can divided two or more integers such that an integer is found and the least common multiple is the minimum integer greater than two or more numbers are part of it. The required time can be found by using the least common multiple.

The integers 3 and 5 are prime numbers and there is no greatest common factor greater than 1 and their least common multiple is the product of the two numbers, that is, 15.

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Answer:

20/21

Step-by-step explanation:

2 1/2 divided by 2 5/8

2 1/2 is 5/2

2 5/8 is 21/8

5/2 ÷ 21/8 =

5/2 × 8/21 = 20/21

Applying the definition of supplementary angles, x = 18; m<PNO = 70°.

If two angles lie on a straight line adjacent to each other, both angles are supplementary, thus, their sum is equal to 180 degrees.

Angle MNO and angle PNO are supplementary angles, therefore:

m<MNO + m<PNO = 180 degrees.

m<MNO = 110°

m<PNO = (3x + 16)°

Substitute

110 + 3x + 16 = 180

126 + 3x = 180

126 + 3x - 126 = 180 - 126

3x = 54

x = 18

m<PNO = 3x + 16 = 3(18) + 16

m<PNO = 70°

Therefore, applying the definition of supplementary angles, x = 18; m<PNO = 70°.

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Answer:

What variable do I solve for?

Step-by-step explanation:

Answer:

35 average minutes at practice.

Step-by-step explanation:

Answer:

What do I find?

If it's the mean then the answer is 35.

Step-by-step explanation:

34, 30, 45, 30, 40, 38, 28 ==> 7 numbers

34+30+45+30+40+38+28=245

245/7=35

The correct answer is option B which from the diagram is depicted to be is point C

This is a term science and mathematics that represents the interval between two points. This interval shows the distance the points are from each each other. Line is the basic form of representation of graphics, as it takes to represent what the creative designer assigns it to be.

A line is one dimensional, this means that it represents only a dimension which is usually the length.

Points of intersection is a point where two lines meet. This point is of importance when describing the position of another. The angle on a straight line is 180 degrees but when another line intersects the angle between the two lines will vary depending on the point of intersection.

As regards the question. the two line intersected at point C

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Answer:

56.25º, 45º and 78.75º respectively

Step-by-step explanation:

Answer:

4(5+3)

Step-by-step explanation:

4x5 is 20

4x3 is 12

each bit in the brackets gets multiplied by 4

Answer:

The y-intercept = (0, 13/7).

The x-intercept = (13/3, 0).

To the nearest tenth they are

y-intercept (0, 1.9)

x-intercept (4.3, 0)

Step-by-step explanation:

First find the equation oif the line joining these points:

Slope of line = (4 - (-2)) / (-5-9))

                      = 6/-14

                      = -3/7

y - y1 = m(x - x1)

Using m = -3.7 and (x1, y1) = (-5, 4)

y - 4 = -3/7(x - (-5)

y = -3/7x -15/7 + 4

y = -3/7x + 13/7 is the equation of the line.

The y-intercept (when x = 0)

= 0 + 13/7

= (0, 13/7)

The x-intercept:

0 = -3/7x + 13/7

x = -13/7 / -3/7

  = 13/3.

x intercept is (13/3, 0)

Answer:

28

Step-by-step explanation:

you have to multiply 14 ×2 =28

Step-by-step explanation:

Answer: 12,633.7. Step-by-step explanation: population of Chicago, in 2003 = 2,869,121. The area of Chicago = is 227.1 square miles.

The length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

The box is in the shape of a cuboid

The volume of a cuboid = l b h, where l is the length, b is the breath or width and h is the height

Putting the values of width and volume in the formula

x³ - 3x²-10x = l ×(5-x) × h

This becomes a cubic equation

l × h = (x³-3x²-10x)/ 5-x

l × h = -x²-2x

l × h = -x(x+2)

Now, putting the value of l × h in the equation we get

v= -x ( x+ 2) (5-x)

v = -x (x-5)(x +2)

Hence, the length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

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Answer:

=========================

Let the amount of money be x, then, considering she buys more than zero pounds of candy, the total she spends is:

Jane will spend between zero and $30.

Answer:

$0 < x < $30

Step-by-step explanation:

To find:-

Answer:-

We are here given that , Jane buys candies which are $6 per pound . She buys less than 5 pounds on candies .

Now since she purchased some candies therefore, the amount she spent will be greater than " 0 " .

Now she buys less than 5 pounds of candies . Cost of that would be $6*5 = $30 .

Hence she purchased somewhere between them that is between $0 and $30 .

If we denote the amount spent by Jane on candies by "x" , then ; we can represent this situation as ;

[tex]:\implies \sf \pink{ \$ 0 < x < \$30} \\[/tex]

Hence the required answer is " $0 < x < $30 .

The length of the NFL playing field is 100 yards and the width is 30 yards.

The perimeter of an object is the distance round the shape or object.

The perimeter of a shape is obtained by summing length and width of the shape in two places.

P = 2(L + W)

where;

From the given question,

L = 2W + 40

260 = 2(L + W)

260 = 2(2W + 40 + W)

260 = 2(3W + 40)

260 = 6W + 80

260 -80 = 6W

180 = 6W

180/6 = W

30 = W

L = 2W + 40

L = 2(30) + 40

L = 100 yards

Thus, the length of the NFL playing field is 100 yards and the width is 30 yards.

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