Factor to write an equivalent expression: 360 – 16

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

______________

a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

\(( \frac{122 - 3 \sqrt{101}}{25}, \frac{ - 7 +3 \sqrt{101}}{10}) ≈ (3.674, 2.315) \\ ( \frac{122 + 3 \sqrt{101}}{25}, \frac{ - 7 - 3 \sqrt{101}}{10}) ≈ (6.086, -3.715) \)

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

9514 1404 393

Answer:

Step-by-step explanation:

Let a and b represent the numbers, and let s and d represent the sum and difference.

  a + b = s

  a - b = d

We want ...

  s = d -7

  (a +b) = (a -b) -7

  2b = -7 . . . . . . . . . add b-a to both sides

  b = -7/2 . . . . the number subtracted to obtain the difference

There is nothing here that puts any restriction on the value of 'a'. The other number can be any value. We could have, for example, a = 3.4.

For a = 3.4, b = -3.5

  sum = 3.4 +(-3.5) = -0.1

  difference = 3.4 -(-3.5) = 6.9

The sum is 7 less than the difference:

  6.9 -7 = -0.1 . . . as required

Answer:

4 5/32

Step-by-step explanation:

Hope this helps, if it does, can I have brainliest?

Answer: 6

Step-by-step explanation:

6 x 5 = 30

6 x 3 = 18

6 x 1 = 6

The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.

Hope this helps,

Good luck!

Answer:

7

Step-by-step explanation:

if the number is x then you know 2x-9=5

2x=14

x=7

so the number is 7

The 5 × 10⁻³ cm radius of one spherical cancerous cell indicates that the number of cells in the initial volume of 0.3 cm³ of the tumor is; 572,958 cells

The volume, V, of a sphere is the product of the cube of the radius of the sphere, pi, and (4/3); V =  (4/3) × Pi × (The radius of the sphere, r)³

The volume of each cancerous cell can be calculated as follows;

The shape of each cancerous cell = A sphere

Volume of a sphere = (4/3) × π × r³

Where;

r = The radius of the sphere

The radius of the cancerous sphere, r = 5 × 10⁻³ cm

The volume of each cancerous cell = (4/3) × π × (5 × 10⁻³)³

The number of cancerous cells = The initial volume of the tumor ÷ The volume of one cancerous cell

The number of cancerous cells = 0.3/((4/3) × π × (5 × 10⁻³)³) ≈ 572958

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The surface area of the shape when a cube is taken out of it would be = 164.

The surface area is defined as the area that is being occupied by outer surface of a shape of object.

The surface area of a given shape = 314

An area of a cube shape is taken out of it with sides = 5×5

The area of a cube = 6(a²)

where a = 5

area of the cube = 6(5²)

= 6×25 = 150

Therefore, the surface area of the shape after area of cube such as = 150 has been removed from it ;

= 314-150

= 164.

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Answer:

X : 2__ 3 ___ 5 ___ 6 ___7

Y: 4 __3.5 __2.5___2 __ 1.5

Step-by-step explanation:

Given tbe equation for tbe residual :

y = -0.5x + 5

X : 2, 3, 5, 6, 7

X = 2

Y = - 0.5(2) + 5 = 4

X = 3

Y = - 0.5(3) + 5= 3.5

X = 5

Y = - 0.5(5) + 5 = 2.5

X = 6

y = -0.5(6) + 5 = 2

X = 7

y = -0.5(7) + 5 = 1.5

X : 2__ 3 ___ 5 ___ 6 ___7

Y: 4 __3.5 __2.5___2 __ 1.5

Answer:

slope = -7

Step-by-step explanation:

(1, 4) and (2, -3)

Slope = y^2 - y^1 / x^2 - x^1

m = -3 - 4 / 2 - 1

m = -7 / 1

m = -7 ---------> slope of the line through (1, 4) and (2, -3)

Answer:

slope is -7 for (1, 4) and (2, -3)

Answer:

The required answer must be X = -8

Answer:

f(k) = 6

Step-by-step explanation:

See attachment:

Answer:

8.34

Step-by-step explanation:

i got it wrong and it told me the right answer lol

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

The correct step when using the median-fit method for modeling data is to fit a function to the median of the data.

The median-fit method can be used to model data by following these steps:

1. Arrange the data set in ascending order.

2. Find the median of the data set.

3. Divide the data set into two groups: one group that is below the median, and another group that is above the median.

4. Compute the median of each group.

5. Fit a function to the median of the data.

6. Use the fitted function to estimate values for the original data set.

The median-fit method is a statistical method used to model data. It involves fitting a function to the median of the data. This method is often used when the data set is skewed or has outliers.

The median-fit method is more robust to outliers than the mean-fit method. It is also less sensitive to the shape of the data distribution than other methods.

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Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

Answer:

y=50

Step-by-step explanation:

\(70 = 1.4y \\ \div 1.4 \: \: \: \: \: \: \: \: \: \: \: \div 1.4 \\ \\ 50 = y\)

just divide 1.4 on both sides

Considering the continuity concept, f(x) is discontinuous at x = -4.

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

\(\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)\)

At x = -4, we have that:

As the lateral limits are different, the limit is not defined, and thus f(x) is discontinuous at x = -4.

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Answer:

Step-by-step explanation:

If a number is squared and then divided by 15, the resulting expression can be written as (x^2)/15, where x is the number. For example, if the number is 5, then the expression can be written as (5^2)/15 = 25/15. In general, the value of the expression (x^2)/15 will be the square of the number x divided by 15.

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

-----------------------

Tangent is perpendicular to radius, hence ΔAOB is right triangle.

Given that OA = AB, and we know OA = OC as two radius. Therefore OAC is equilateral triangle, hence all its angles are same:

It means ΔOAB is a specific 30x60x90 right triangle.

The ratio of its sides is:

It gives us that:

Answer:

The answer would be A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

M is midpoint of LP and N is midpoint of MP

Use midpoint formula:

Find x-coordinate of M:

Find x-coordinate of N:

Correct choice is D

Answer:

Step-by-step explanation:

Remark

This is one of those questions whose answer is hidden by the sloppiness of the wording. You don't really know what the starting speed is at 129 feet. I am going to assume the submarine is constantly moving at the same speed.

Givens

d1 = 129

d2 = 229

t = 3 sec

formula

(d2 - d1) = r * t

solution

(229 - 129) = r * t

100 = r * 3

100/3 = r

33.3 feet/s = r

Caution

if you know what d = vi*t + 1/2*a * t^2 is, you could get this wrong. If you do know the formula, leave a comment below my answer.

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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Answer:

Step-by-step explanation:

Answer:

300000000

Step-by-step explanation:

Answer: 0.75

Step-by-step explanation:

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16