Please help due soon.

Please check the image attached aside with the graph of the quadratic equation.

In this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:

- x² - 12 · x - (35 + y) = 0

x² + 12 · x + (35 + y) = 0

12² - 4 · 1 · (35 + y) = 0

144 - 4 · (35 + y) = 0

144 - 140 - 4 · y = 0

4 · y = 4

y = 1

- x² - 12 · x = 36

x² + 12 · x + 36 = 0

(x + 6)² = 0

x = - 6

The vertex of the quadratic equation is (x, y) = (- 6, 1).

Second, calculate the roots of the quadratic equation:

- x² - 12 · x - 35 = 0

x² + 12 · x + 35 = 0

(x + 5) · (x + 7) = 0

The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).

Third, determine the y-intercept of the quadratic equation:

y = - 0² - 12 · 0 - 35

y = - 35

The y-intercept of the quadratic equation is (x, y) = (0, - 35).

And fourth, find another point by evaluating the quadratic equation:

y = - 1² - 12 · 1 - 35

y = - 48

The remaining point is (x, y) = (1, - 48).

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An empty set is subset of each and every possible set, as it has no elements in it, which is why the given statement is " True "

The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

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The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]

According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.

Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.

So for finding out area of igloo we find the surface area of of the hemisphere.

Curved Surface area : [tex]2\pi r^{2}[/tex]

Total Surface area: [tex]3\pi r^{2}[/tex]

where r is the radius of igloo.

Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]

[tex]r=\frac{20ft}{2} \\r=10ft[/tex]

Therefore radius is 10 ft.

Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]

Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]

But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].

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Answer:

20 m/s

Step-by-step explanation:

speed = 100m /5s = 20 m/s

  = 72 km/hr

  = 72 km / hr *  1 mile / 1.609 km = 44.7 mph

True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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Answer:

n = -0.4, or n = -2/5.

Step-by-step explanation:

They are the same btw.

Answer:

Step-by-step explanation:

What are you trying to find? If you want to find x then:

5x = 134 - 9

5x = 125

x = 25

if you want square root then,

x = √625    or

x = 5^2

The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.

It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.

Let the number of weeks be represented by w.

Therefore, based on the information, the appropriate equation will be:

99 + (4 × w) = 195

99 + 4w = 195

4w = 195 - 99

4w = 96

Divide

w = 96/4

w = 24

Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.

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Answer:

B

Step-by-step explanation:

Answer B is the result of simplifying

Answer:

A = 1160

B = 1160 is already in standard form.

C = 1200

Answer:

54 as a percentage of 216% is 116.64.

Step-by-step explanation:

100% of 54 is 54 so 54 x 2 would be 108. We have solved 200% of it now for the 16%. The percentage of 54 of 16% would be 8.64. Now add up all we have learned.

108 + 8.64 = 116.64

answer:

6/x + 9 = 11

explanation:

6 div. 3= 2

2+9=11

Answer:

-9.5

Step-by-step explanation:

Answer:

9/7

Step-by-step explanation:

9 red for every 7 blue can't be reduced

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

I got you bro dont worry

Answer:

n - 4 = - 15

Step-by-step explanation:

Hope this helps :)

Answer:

In equation form it should be: (6-x) -11

Step-by-step explanation:

BOOM!!! Your Welcome

By cross multiplication, we have found the following results:

a) 20 miles are equal to 32.180 kilometers.

b) 64 kilometers are equal to 39.776 miles.

In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.

First, we must convert a distance of 20 miles to kilometers by cross multiplication:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a distance of 64 kilometers to miles by cross multiplication:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

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Answer:

here is the answer⬇️

Answer:It means you would have spent $36 below zero and now you owe the bank some money

Step-by-step explanation:

The equation for the parabola Is; y = -²/₅[(x + 5)(x - 1)]

We are given the following;

x-intercepts = (-5,0) and (1,0)

y - intercept = (0, 2)

We know that the x-intercepts are the roots of the quadratic equation while the y-intercept is the value of y when x is zero.

Thus;

(x + 5) and (x - 1) are factors of the given quadratic equation.

f(x) = a(x + 5)(x - 1)

At y-intercept of (0,2), we have;

a(0 + 5)(0 - 1) = 2

a = -2/5

Thus we can write the equation for the parabola as;

y = -²/₅[(x + 5)(x - 1)]

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The percentage increase in the student's height is 10.52%.

Here we are given that a student's height increases from 1.52m to 1.68m.

Thus, the absolute increase in the student's height will be-

1.68 - 1.52 = 0.16 meters.

Now, we need to find the percentage increase in the student's height.

The formula for calculating percentage increase is given by-

Percentage increase = change in value/ initial value * 100

Here, the change in value is 0.16 meters and the initial value is 1.52 meters.

Thus, percentage increase in height = 0.16 / 1.52 *100

= 1600/ 152

= 400/ 38

= 200/ 19

= 10.52%

Thus, the increase in the student's height is 10.52%.

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Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

Yes, y = e^xy  is an implicit solution of the differential equation

(1-xy)y'=y^2

Here,

The differential equation (1-xy)y' = y^2

And,  y = e^xy is an implicit solution of the differential equation

(1-xy)y'=y^2.

What is Differential equation?

A differential equation is a mathematical equation that relates some function with its derivatives.

Now,

To show y = e^xy is an implicit solution of the differential equation

(1-xy)y'=y^2, we have to find the solution of differential equation.

The differential equation is;

[tex](1-xy)y'=y^2\\\\\\\\[/tex]

[tex](1-xy) \frac{dy}{dx} = y^2[/tex]

[tex]\frac{dx}{dy} + \frac{x}{y} = \frac{1}{y^{2} }[/tex]

It is form of  [tex]\frac{dx}{dy} + Px = Qy[/tex],

Where, P is the function of y and Q is the function of x.

Hence, Integrating factor = [tex]e^{\int\limits {\frac{1}{y} } \, dy} = e^{lny} = y[/tex]

The solution is;

[tex]x y = \int\limits {\frac{1}{y^{2} }y } \, dy + c[/tex]

[tex]xy = lny + c[/tex]

Take c = 0, we get;

[tex]xy = lny\\\\y = e^{xy}[/tex]

Hence, y = e^xy  is an implicit solution of the differential equation

(1-xy)y'=y^2

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7) No, y has two different values when x = -1.

8) Yes, each value of x maps onto only one value of y.

9) Yes, each value of x maps onto only one value of y.

Answer:

43

Step-by-step explanation:

800 × 8% × (8/12)