The quadratic expression x2−2x−35 can be factored into (x+5)(x−7) . Which ordered pairs represent the zeros of this expression’s related quadratic function? Responses (5, 0) and (–7, 0) (5, 0) and (–7, 0) (–5, 0) and (7, 0) (–5, 0) and (7, 0) (0, –5) and (0, 7) (0, –5) and (0, 7) (0, 5) and (0, –7) (0, 5) and (0, –7)

Answer:

oh shi sorry I wish I could help but I'm stupid

Answer:

Hi ma';mdsadcs

Step-by-step explanation:

The interest that is charged on the past six months of the investment period could be obtained by the use of the interest formula.

The term interest refers to the money that accrues on an investment or the money that is charged on top of a loan. The interest could be simple (charged only on the principal) or compound (charged on both the principal and the interest).

Thus, the interest that is charged on the past six months of the investment period could be obtained by the use of the interest formula.

Learn more about interest:https://brainly.com/question/13324776

#SPJ4

Answer:

We start with the equation:

(3 + 4x) + (2 -x) = 5 + 3x

Now we replace:

x = i

This is just changing all the "x"s in the equation by "i"s:

(3 + 4i) + (2 - i) = 5 + 3i

This can be viewed as 3 complex numbers:

z1 = 3 + 4i

z2 = 2 - i

z3 = 5 + 3i.

Now, let's check if equality remains true:

(3 + 4i) + (2 - i) = 5 + 3i

The first step is to use the associative and commutative properties to separate the real and imaginary parts.

(3 + 2) + (4i - i)

5 + (4 - 1)*i

5 + 3i

Then the equality remains true.

And this will be true always, for anything that we feed into the x in our initial equation:

(3 + 4x) + (2 -x) = 5 + 3x

This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.

Answer: 6.40 = c

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 4^2 = c^2

25 + 16 = c^2

41 = c^2

  ____

_/ 41  = c

6.40 = c

Answer:

y = -4x + 5

Step-by-step explanation:

hope this helps

Answer:

\(9\times 10^7\ \text{grains of sand}\)

Step-by-step explanation:

Given that,

A bricklayer needs to order 6300kg of building sand.

1 grain of this sand weighs \(7\times 10^{-5}\ kg\).

We need to find how many grains of sand are there in 6300 kg.

It can be just calculated as follows :

1 grain of sand =  \(7\times 10^{-5}\ kg\)

\(6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}\)

or

= 90000000  grans of sand

So, 6300 kg is equal to \(9\times 10^7\ \text{grains of sand}\).

As per the given scenario, a cereal comes in three different package sizes.

The ratio of the cost of an 8-ounce box to a 16-ounce box of cereal can be calculated as follows :Ratio of 8-ounce box to 16-ounce box= 8 : 16Here, the ratio of 8 and 16 can be simplified by dividing both the terms by \(8.8 : 16 = 1 : 2\)

Therefore, the ratio of the cost of an 8-ounce box to a 16-ounce box of cereal is 1 : 2.

Note: The answer should be represented in the simplest form possible.

for such more questions on Ratios

https://brainly.com/question/12024093

#SPJ11

The constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Here we can cancel both x term and y terms, lets choose x terms  and apply the elimination method

The coefficient of x in first equation is 5 and 12 in second equation

We have to make it same

Prime factorization

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Here we have eliminated x term

Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

Learn more about elimination method here

brainly.com/question/14619835

#SPJ4

Step-by-step explanation:

follow the steps and apply the rules of geometry

According to Pythagorean theorem, the length of BE is 2√(61) units.

To solve this problem, we need to use the Pythagorean Theorem, which tells us that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, we can see that triangle ABE is a right triangle, with AB as the hypotenuse and BE and AE as the other two sides. Therefore, we can use the Pythagorean Theorem to find the length of BE.

To do this, we first need to find the length of AE. Since triangle ADE is a right triangle with a hypotenuse of length 4 and one leg of length 2, we can use the Pythagorean Theorem to find the length of the other leg, which is AE. Specifically, we have:

AE² + 2² = 4² AE² + 4 = 16 AE² = 12 AE = √(12) = 2√(3)

Now we can use the Pythagorean Theorem again to find the length of BE. Specifically, we have:

BE² + (2√(3))² = AB² BE² + 12 = (2AB)²

[since AB = AC = CD = DE = 4]

BE² + 12 = 16² BE² + 12 = 256 BE² = 244 BE = √(244) = 2√(61)

To know more about Pythagorean theorem here

https://brainly.com/question/343682

#SPJ1

Answer:

3/2 pi radians

Step-by-step explanation:

To change to radians. multiply by pi/180

270 * pi/180

3/2 pi

The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches is approximately 34.4 inches, found using the Pythagorean theorem.

The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches can be calculated using the Pythagorean theorem, which states that the square of the sum of the squares of the lengths of the legs determines the length of the hypotenuse.

So, if we call the length of the hypotenuse "h", we have \(h^{2}\) = \(20^2 + 28^2\)

Solving for h:

\(h^2 = 20^2 + 28^2\)

\(h^2\) = 400 + 784

\(h^2\) = 1184

h = \(\sqrt{1184}\)

h ≈ 34.4 in.

So, the length of the hypotenuse is approximately 34.4 inches, rounded to the nearest tenth.

The Pythagorean theorem is a fundamental mathematical relationship that states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal tothe squared lengths of the two legs added together. In this case, the two legs have lengths of 20 inches and 28 inches, and the length of the hypotenuse can be found by solving for the square root of the total of the leg squares.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ4

Since we have that the sale price is $511, then this represents the 100-27%=73% of the total price. Then, using a rule of three we have:

therefore, the original price of the sofa was $700

The values of a, h and k for the  given quadratic function are:

a = -6, h = -5 and k = -1

What is vertex form?

This is one way of writing a quadratic function:

f(x) = a(x-h)² +k

(h, k) = vertex

a = vertical stretch

According to the given question:

We're given:

f(x)= -6x² - 60x - 151

To write a quadratic function in vertex form, we must complete the square.

⇒ Put parentheses around the first two terms containing x and x²:

f(x)= (-6x² - 60x) - 151

⇒ Factor out -6 (keeping the x's in the parentheses):

f(x)= -6(x² + 10x) - 151

⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.

⇒ In this case, the coefficient of x is 10.

⇒ Half of this value is 5.

⇒ The square of 5 is 25.

⇒ Add this inside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151

⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151 - (-6 x 25)

f(x) =  -6(x² + 10x + 25) - 151 - (-150)

f(x) =  -6(x² + 10x + 25) - 151 + 150

f(x) =  -6(x² + 10x + 25) - 1

⇒ Finally, complete the square.

Remember: (a + b)² = a² + 2ab + b²

In this case, a is x, and b is 5:

f(x) = -6(x + 5)² - 1

On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:

a = -6

h = -5

k = -1

To know more about vertex form visit

https://brainly.com/question/13921516

#SPJ1

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer:

1/10 > 8/100

Step-by-step explanation:

because we have 0.1 against 0.08 therefore 1/10 is greater and the sign is >

Answer:

x = −3.5

y = 11.5

Step-by-step explanation:

y = x + 15

y = −x + 8

[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]

↓

In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.

↓

x = −\(\frac{7}{2}\) = −3.5

y = \(\frac{23}{2}\) = 11.5

Answer:

72 (it's the first option)

Step-by-step explanation:

Upper quartile-lower quartile= interquartile range

369-297=72

Answer: 72

Step-by-step explanation:

Common resources are those that are available to everyone and not owned by any individual or group. Examples include air, water, fish in the ocean, and even public parks. Since no one owns them, there is no direct incentive for any individual to conserve or protect these resources.

In fact, the opposite is often true - individuals may feel that they have a right to use these resources as much as they want, leading to overuse and overconsumption. This is known as the tragedy of the commons, where individuals act in their own self-interest, leading to the depletion of a shared resource. To avoid this, it is important to have regulations and policies in place to encourage responsible use of common resources and prevent overuse and overconsumption.

The answer is A) True
Common resources refer to natural or man-made resources that are not individually owned but are available to everyone in a community. Since these resources are not owned by any specific person or organization, there is a lack of control and regulation over their use. This lack of ownership creates an incentive for people to overuse and overconsume these resources, as individuals may want to take advantage of the resources before others do.

This overuse and overconsumption can lead to depletion or degradation of the common resources, making them less available or useful for future generations. In order to prevent this outcome, it is essential to implement proper management and conservation strategies that help maintain the sustainability and accessibility of these shared resources for all users.

Learn more about overuse at : brainly.com/question/24183535

#SPJ11

Answer:

No, the answer would be 51755.3 (repeating), so no.

Step-by-step explanation:

Answer:

4 (9x² + 6xy + y²)

Step-by-step explanation:

Looking at the variables, the there is no common factor that applies for all three variables. But 36, 24, and 4 as a common factor, and the greatest is 4. 4 fits into 36, 24, and 4, so we can factor that out. Simply divide each terms by 4, then you will get:

4 (9x² + 6xy + y²)

(a) Number of customers served by Cart 0 = x

Number of customers served by Cart 1 = 1 - x

(b) Cart 0 = 0
Cart 1 = 0

(c) To graph the best-response rules, we can plot the prices on the x-axis and the corresponding profits on the y-axis for each cart.

(a) The number of customers served at each cart can be determined by considering the range of beachgoers each cart caters to based on their location.

Cart 0 serves customers located between 0 and x.

Cart 1 serves customers located between x and 1.

Since beachgoers are uniformly distributed along the beach, the number of customers served at each cart can be calculated as a proportion of the total number of beachgoers.

Number of customers served by Cart 0 = x

Number of customers served by Cart 1 = 1 - x

(b) The profit function for each cart can be expressed as follows:

Profit for Cart 0 = (Price for Cart 0 * Number of customers served by Cart 0) - (Cost per coconut * Number of coconuts sold by Cart 0)

Profit for Cart 1 = (Price for Cart 1 * Number of customers served by Cart 1) - (Cost per coconut * Number of coconuts sold by Cart 1)

The best-response rules for their prices can be derived by maximizing the profit functions. To find the optimal prices, we differentiate the profit functions with respect to the prices and set the derivatives equal to zero.

For Cart 0:

d(Profit for Cart 0) / d(Price for Cart 0) = Number of customers served by Cart 0 - Cost per coconut * Number of coconuts sold by Cart 0 = 0

For Cart 1:

d(Profit for Cart 1) / d(Price for Cart 1) = Number of customers served by Cart 1 - Cost per coconut * Number of coconuts sold by Cart 1 = 0

Solving these equations will give the best-response rules for the prices of the carts.

(c) To graph the best-response rules, we can plot the prices on the x-axis and the corresponding profits on the y-axis for each cart. The Nash equilibrium price level for coconuts on the beach will be the point where the best-response functions intersect.

learn more about profits on

https://brainly.com/question/32381738

#SPJ11

Answer:

72π

Step-by-step explanation:

The volume of the composite figure can be calculated by finding the sum of the volumes of the half-sphere and the cylinder. Hence, the exact volume of the composite figure is 108π cubic centimeters.

Volume is a three-dimensional measurement of the amount of space a thing takes up. It is usually measured in cubic meters, cubic centimeters, or cubic feet. It is computed by multiplying the length, breadth, and height of the shape, or by using particular formulae for other forms such as cylinders, cones, or spheres. The volume of a thing indicates how much space it takes up.

The volume of the composite figure can be calculated by finding the sum of the volumes of the half-sphere and the cylinder.

The formula for the volume of a cylinder is

V = π\(r^2h\),

where r is the radius and h is the height.

Substituting the values given in the problem, we get:

Volume of cylinder = π\((3)^2(10)\)

                  = 90π cubic centimeters.

The formula for the volume of a half-sphere is

V = (2/3)π\(r^3\)

Substituting the value of r given in the problem, we get:

Volume of half-sphere = (2/3)π\((3)^3\)

                        = 18π cubic centimeters.

Therefore, the total volume of the composite figure is:

Volume of composite figure = Volume of cylinder + Volume of half-sphere

= 90π + 18π

= 108π cubic centimeters.

Hence, the exact volume of the composite figure is 108π cubic centimeters.

To know more about volume, visit

brainly.com/question/1578538

#SPJ1

Counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length. Also, the negative numerical values are positioned at the left from zero while the positive numerical values are positioned at the right from zero.

Note: Each of the tick represents 1 unit.

Therefore, counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

Read more on number line here: brainly.com/question/24644930

#SPJ1

Answer:

5.3 cm

Step-by-step explanation:

\(area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 10.6 = \frac{1}{2} \times base \times 4 \\ \\ 10.6 = base \times 2 \\ \\ base = \frac{10.6}{2} \\ \\ base = 5.3 \: cm\)

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

To know more about curves visit: brainly.com/question/28793630

#SPJ4

Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.