find the x- and y- intercepts of the following: 10x-4y=-20 ​

Answer:

x² + y² = 6

Step-by-step explanation:

The standard form of the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = \(\sqrt{6}\) , then

x² + y² = (\(\sqrt{6}\) )² , that is

x² + y² = 6

Answer:

3x

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

let's assume that fair means 1/5 effort you should give anything less or more seems like not fair. and 2/5>1/5

Answer:

No.

Step-by-step explanation:

You with your four friends makes five people

if you do 2/5 of the work and rest all does 1/5 of the work then 1 person doesn't have to do the work.

Answer:

Option 1: x - 36 \(\geq\) 24

Step-by-step explanation:

If Ms. Estrada wants to keep at least 24 cookies, a greater than or equal to sign needs to be used in the inequality.

Option 2 is incorrect because it sets the number of cookies equal to 24.

This is wrong because Ms. Estrada wants at least 24 cookies, not just 24.

So, option 1 is correct.

Answer:

Option 2:  x - 36 = 24

Step-by-step explanation:

The question is an illustration of combination.

There are 5005 ways the volunteers can be selected

The given parameters are:

Since there is no restriction, as to who can be selected;

The total number of selection is calculated using the following combination formula

\(^nC_r = \frac{n!}{(n -r)!r!}\)

Where:

\(n = 5 + 10=15\)

\(r = 6\)

So, we have

\(^{15}C_6 = \frac{15!}{9!6!}\)

This gives

\(^{15}C_6 = 5005\)

Hence, there are 5005 ways the volunteers can be selected

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Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer is choice B y = 2x + 9

Explanation

step1: I have to compare the equation given to the equation of a straight line

from the question, we have

y = 2x - 4

c/f y = mx + c

hence m = 2 and c = -4

so the choice B: y = 2x + 9

Gives : m = 2 and c = 9

Hence since m is the same that is (= 2) and c is different, hence the equation has no solution then.

The answer is choice B

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

L = 6 feet ; W = 4 feet

Step-by-step explanation:

l = 2 + w

perimeter/2 = 8

l + w > 8

2 + w + w > 8

2 + 2w > 8

2w > 8-2

2w > 6

2/2 w > 6/2

w > 3

smallest integer > 3 = 4

W= 4

L = 4 + 2 = 6

Answer:

\(m = 0.664\)

Step-by-step explanation:

We were given the equation: \(2.1 + 10m = 8.74\)and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

\(2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664\)

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

25 pi^2

The circumference is diameter by pi. So you have to divide 50pi by pi, which gives you 50. Then, divide that by 2 to get your radius. 25. A=pi r^2. So you have to multiply 35 by pi, 25pi, and then make it squared.

Answer:

Natural numbers

Step-by-step explanation:

the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

The Linear Programming Problem (LPP) formulation for the given scenario is to minimize the cost (6x + 3y) subject to the constraints 3x + 5y ≥ 50, 4x + 3y ≥ 60, x ≥ 0, and y ≥ 0, where x represents the number of units of F1 consumed and y represents the number of units of F2 consumed.

To formulate the given problem as a Linear Programming Problem (LPP), we can define the decision variables, objective function, and constraints as follows:

Let:

x = number of units of F1 to consume

y = number of units of F2 to consume

Objective Function:

Minimize the cost of consumption, which can be expressed as:

Cost = 6x + 3y (since the cost per unit of F1 is Rs. 6 and F2 is Rs. 3

Constraints:

B1 consumption constraint:

The daily prescribed consumption of B1 should be at least 50 units.

Considering the composition of B1 in F1 and F2, we have:

3x + 5y ≥ 50

B2 consumption constraint:

The daily prescribed consumption of B2 should be at least 60 units. Considering the composition of B2 in F1 and F2, we have:

4x + 3y ≥ 60

Non-negativity constraint:

The number of units of F1 and F2 consumed cannot be negative, so we have:

x ≥ 0

y ≥ 0

The formulated LPP can be summarized as follows:

Minimize: Cost = 6x + 3y

Subject to:

3x + 5y ≥ 50

4x + 3y ≥ 60

x ≥ 0

y ≥ 0

By solving this LPP, we can determine the optimal values of x and y, which represent the number of units of F1 and F2 to consume in order to meet the minimum daily prescribed consumption of B1 and B2 while minimizing the cost of consumption.

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The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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10x-5

Answer:

5(2x-1)

5*2x 5*-1

10x-5

Hey there!

5(2x - 1)

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer should be: 5x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The vertex of \(y = 4\, (x - 3)^{2} - 8\) is at \((3,\, -8)\).

Step-by-step explanation:

Consider a quadratic function with the point \((h,\, k)\) as the vertex (for some constants \(h\) and \(k\).) It would then be possible to express this function in the vertex form \(y = a\, (x - h)^{2} + k\) for some constant \(a\) where \(a \ne 0\). (Note the minus sign in front of \(h\).)

For example, the quadratic function \(y = 4\, (x - 3)^{2} - 8\) in this question is expressed in this vertex form:

\(y = 4\, (x - 3)^{2} + (-8)\).

The values of \(h\) and \(k\) are \(h = 3\) and \(k = (-8)\), respectively. Thus, the vertex of this parabola would be at the point \((3,\, -8)\).

Answer:

\(\displaystyle [3, -8]\)

Explanation:

First off, this equation came from the quadratic equation \(\displaystyle [y = Ax^2 + Bx + C],\)in which it was \(\displaystyle y = 4x^2 - 24x + 28.\)In the vertex equation \(\displaystyle [y = A(x - h)^2 + k],\)the vertex is represented by \(\displaystyle [h, k],\)in which −h gives you OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be careful there.

I am joyous to assist you at any time.

The domain is the set of all values in the set (- ∞, ∞).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a quadratic function as follows -

ax² + bx + c

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and  the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).

Therefore, the domain is the set of all values in the set (- ∞, ∞).

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{Question in english language is as follows -

How the domain of the quadratic function is determined.}

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer:

Q 1 a = 4, b = 7, c = 3

Q 2 a = 4, b = 343

Step-by-step explanation:

Question 1:

\(x^{\frac{y}{z}} = \sqrt[z]{x^y}\)

using the above equation we can compare and get the answer,

a = 4, c = 3, b = 7

Question 2:

in SIMPLIFIED, we can evaluate \(7^3\) and convert it in the required form

\(7^{\frac{3}{4}} = \sqrt[4]{7^3}\)

a = 4, b = 343

Hopefully this answer helped you!!

Answer:

a=4, b = 7, c = 3
Simplified: a = 4, b = 343

Step-by-step explanation:

in Fractional exponents:

\(x^{\frac{1}{n} } = \sqrt[n]{x}\) (The n-th Root of x)

Another way to explain it: the numerator is the power and the denominator is the root

for example:

\(4^\frac{1}{2} = \sqrt{4} = 2\)

Another example:

\(8^{\frac{1}{3} } = \sqrt[3]{8}=2\)

This problem:

\(7^{\frac{3}{4} } = (7^{3} )^{\frac{1}{4} } = \sqrt[4]{7^{3} } = \sqrt[4]{343}\)

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

24+21

Step-by-step explanation:

24+21

Hope you got your answer

The percent error in Guido's estimate is 40%.

From the question, we have the following parameters that can be used in our computation:

Estimate = 3 hours

Actual = 5 hours

To find the percent error, we can use the formula:

Percent error = (|estimated value - actual value| / actual value) x 100%

Substitute the known values in the above equation, so, we have the following representation

|estimated value - actual value| = |3 - 5| = 2

So, we have

Percent error = (2 / 5) x 100%

Percent error = 40%

hence, the error is 40%

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The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So we have

So we can apply the rule to obtain

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days