Please help and thank you.

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The solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

We have given expressions:

-2x² + y = -5 ..(1)

y=-3x² +5 ...(2)

From the equation (2) take the value of y and plug it in the equation (1)

-2x²-3x²+5 = -5

-5x² = -10

x = ±√2

Plug this value in the equation (2), we get value of y:

y = -1

Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

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In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.

In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.

Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,

Weight ∝ Depth

W∝D

Introducing the constant to remove the proportionality we will get the equation as,

W = kD

1800pounds = k × 0.5 inches

3600ponds/inches = k

Now, the weight of the roof whose depth is 1.75 inches can be written as,

W = kD

W = 3600 × 1.75

W = 6,300 pounds

Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.

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Answer: 20% of 2,7376.80 = 475.36

Step-by-step explanation:

2,376.80(0.2)=475.36

The volume of the cone will be 10 cubic units.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.

Given that:-

The volume of the cone will be:-

Vc   =   Vcyl

[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]

Vc         =    (1  /  3)  Vcyl

Vc         =    ( 1  /  3  ) x  30

Vc         =     10  cubic units

Therefore the volume of the cone will be 10 cubic units.

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The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

[tex]D(p) = 180 + 10q - 4p[/tex]

Here, p is the price of Model Z.

Consider the following two statements:

[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]

[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]

Put the value of demand at the revenue-maximizing price as,

[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

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Answer: Step 1

A mistake first happens in Step #1. PEMDAS is not followed correctly.

(PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction)

When solving 8÷2+(3x3-2), you first move left to write and solve the problems working through the correct order of operations.  

Correct Steps:

1)  8÷2 + (3x3-2)

2) 4 + (9-2)

3) 4 + 7

4) 4+7 = 11

The number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where 'a' is a constant and a>1

Total coins = 500 gold coin

Each sheep costs 12 gold coins, while each chicken costs 7 gold coins.

If purchased 32 sheep, so the total cost for the 32 sheep:

= 32×12

= 384

Remaining gold coin = 500 - 384 = 116 gold coin

Number of chicken can purchase in 166 gold coin = 116/7 = 16.57 ≈ 16

Inequality for the above scenario:

Let x be the number of sheep and y be the number of chickens.

12x + 7y ≤ 500

If you want to buy twice as many chickens as sheep.

y = 2x

12x + 7y = 500

After solving both the equation:

x = 19.23 ≈ 19 (Number of sheep)

y = 38 (double the number of sheep)

For the part 2:

The exponential equation for the sheep:

[tex]\rm y = 30(2)^x^-^1[/tex]

After 5 years, plug x = 5

[tex]\rm y = 30(2)^4[/tex]

y = 480 sheep

The exponential equation for the chicken:

[tex]\rm y = 20(2.2)^x^-^1[/tex]

After 8 years, plug x = 8

[tex]\rm y = 20(2.2)^7[/tex]

y = 4988.71 ≈ 4988 chickens

Similarly, you can find the rest of the data using the above equation.

Thus, the number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.

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Answer:

A= 3.14

Step-by-step explanation:

The formula for finding the area of a circle is  A=π r²

The radius = half of the diameter so that makes the radius 1 in this case.

When you plug in the values for the equation you get A= 3.14*1²

Answer:

3.14

Step-by-step explanation:

The Formula for area of a circle is л times r^2. R(radius) is half of D(diameter )in which this case is 1. So 1^2 = 1 times л which is 3.14. 3.14 times 1 = 3.14 as answer.

Answer:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

Step-by-step explanation:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

CosC = adj/hyp

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

2x-2x-7=-7

We need to solve it first as follows:

[tex]2x-2x-7=-7[/tex]

[tex]2x-2x=-7+7[/tex]

[tex]0=0[/tex]

Since L.H.S. = R.H.S.

So, it satisfies the equation for all x.

So, there will be infinitely many solutions.

Hence, Option 'a' is correct.

Answer:

300(1 + 0.04/2)3(2) = $337.85

Step-by-step explanation:

Answer is D even tho u typo it i still got it so u do 25.75 from 8.00 yw.

Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

The answer is

for parallel : y= 4/7-5x/7

for perpendicular: y=10+7x/5

The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.

Given line: 5x+7y=9

when our intersection point is (5,-3) the constant

5x+7y

= 5(5)+7(-3)

= 25-21

=4

hence, 5x+7y=4

slope intercept form

7y= 4-5x

y= 4/7-5x/7

Now, for perpendicular lines:

swap the coefficients on x and y with negative sign of x in  5x+7y=9

7x-5y= constant

again, when our intersection point is (5,-3) the constant must be

7x-5y

= 7(5)-5(-3)

=35+15

=50

7x-5y=50

slope intercept form so we solve for y:

y= (50+7x)/5

y=10+7x/5

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Answer:

ant sorry you no entendía

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

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Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]

A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day.

The gold is divided into 2 parts.

First at the 1-inch mark, then the second mark will be

For the second mark, there are two conditions.

Condition 1 = mark can be made at 4 inches, then the next piece will be of 2 inches.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

Condition 2 = Mark can be made at 5 inches, then the next piece will be of 1 inch.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

The division is shown below.

The king will take 1 inch back from the knight and give him 2 inches.

According to the condition = A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

So on the first day, 1 inch will be given. On the second day, he will give 2 inches and take 1 inch. On the third day, he will give 3 inches and take back 2 inches. On the fourth day, he will give 1 inch. On the fifth day, he will give 2 inches and take back 1 inch. On the sixth day, he will give 1 inch.

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Answer:

D. t < -4 or t > 5

Step-by-step explanation:

Inequality 1

Inequality 2

⇒ t < -4 or t > 5

⇒ Option D

Graph

Answer:

[tex]\sf D. \quad t < -4, t > 5[/tex]

Step-by-step explanation:

Given system of inequalities:

[tex]\begin{cases}5t-1 < -21\\4t+2 > 22\end{cases}[/tex]

Solve the inequalities by isolating t.

Inequality 1

[tex]\sf \implies 5t-1 < -21[/tex]

[tex]\implies \sf 5t-1+1 < -21+1[/tex]

[tex]\sf \implies 5t < -20[/tex]

[tex]\sf \implies 5t \div 5 < -20 \div 5[/tex]

[tex]\sf \implies t < -4[/tex]

Inequality 2

[tex]\sf \implies 4t+2 > 22[/tex]

[tex]\sf \implies 4t+2-2 > 22-2[/tex]

[tex]\sf \implies 4t > 20[/tex]

[tex]\sf \implies 4t \div 4 > 20 \div 4[/tex]

[tex]\sf \implies t > 5[/tex]

Therefore, the solution to the system of inequities is:

[tex]\sf t < -4, t > 5[/tex]

When graphing inequalities:

Therefore, to graph the given system of inequalities:

(Refer to attachment for the graph).

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Answer:

He ran .7 miles without a cramp

Step-by-step explanation:

Answer:

True,

Step-by-step explanation:

In math we prove the theorem using known axioms in Math.

Answer: True

Step-by-step explanation:

The time is taken by the 8 gardeners to landscape the same garden will be 30 hours.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

It takes 5 gardeners 48 hours to landscape a garden.

Then the time taken by the 8 gardeners to landscape the same garden will be

The relationship between the gardeners and time is inversely proportional. Then we have

Let x be the time taken by the 8 gardeners. Then we have

8x = 5×48

 x = 30 hours

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Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

Finding (f × g)(x) :

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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The volume of the water that was displaced will be 0.06 cubic feet.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.

Then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we have

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Answer: 122

Step-by-step explanation:

▪︎ Perimeter = (width + length) * 2

374 = (width + 65) * 2

width + 65 = 374 / 2

width + 65 = 187

width = 187 - 65

width = 122