The quotient of a number and 2 increased by 8 is -15

Answer:

The two squares are 81 and 100, and their difference is 19

Step-by-step explanation:

Hey there!

Let's take out the square of 1st ten natural numbers to find out the exact answer.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

Now; You can take any of these numbers and subtract from their squares.

So, let's check 6² and 5²

36-25 = 11 which is not equal to 19

Again check for 10²-9²

100 - 81 = 19 (True value)

Therefore, 19 can be expressed as the difference of square of 10 and 9.

Hope it helps!

The statement that must be true is (c) If a quadrilateral has opposite sides that are both congruent and parallel, then it is a parallelogram.

A parallelogram has parallel and congruent opposite sides.

However, the following are true about parallelograms at:

Hence, the true statement is (c)

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The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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The system of equations which this graph represent include the following:

A. y = x² + 2

   y = x + 4

In Geometry, the point-slope form of a straight line can be calculated by using this equation:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 3)/(2 + 1)

Slope (m) = 3/3

Slope (m) = 1.

At data point (-1, 3) and a slope of 1, an equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = -1(x + 1)

y = -x + 4

For the quadratic equation, we have;

y = a(x - h)² + k

6 = a(-2 - 0)² + 2

4 = a4

a = 4/4

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 0)² + 2

y = x² + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Using Pythagoras theorem, the length of the missing side is 16.6 units

A right-angled triangle's hypotenuse, or side opposite the right angle, has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the lengths of the other two sides. Pythagoras, an ancient Greek mathematician, is credited with discovering and proving the theorem, and it bears his name.

The theorem can be written as an equation:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Data;

Substituting the values and solve for a

a² + b² = c²

17² = a² + 15²

a² = 17² - 15²

a² = 274

a = √274

a = 16.6

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Answer:

7:4 that would be the ratio

Answer:

\(1.791875241 ^{13} \)

This is answer

like

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

x = -2

Step-by-step explanation:

let the unknown number be x

\(9 \times x + 2 = 8 \times x \\ 9x + 2 = 8x\)

Collect like terms and simplify

\(9x - 8x = - 2 \\ x = - 2\)

The unknown number would be x = -2.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have given a statement as "The sum of nine times a number, and 2, is equal to eight times the number."

Let the unknown number be x

9x + 2 = 8x

Collect like terms and simplify;

9x - 8x = -2

x = -2

Thus, the variable would be x = -2.

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Answer:

Step-by-step explanation:

4/50 = 0.08

0.08(100) = 8%

Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \frac{4}{5} \div \frac{3}{4} \)

= \( \: \frac{4}{5} \times \frac{4}{3} \)

= \( \: \frac{4 \times 4}{5 \times 3} \)

= \( \: \frac{16}{15} \)

= \( \: 1 \frac{1}{15} \)

( OR )

= \( \: 1.0667\)

\(\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆\)

Step-by-step explanation:

\( \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you\)

Answer:

C

Step-by-step explanation:

she adds to her collection 6 +4 = 10. then triples that

Answer:

well by using pemdas you would solve whats in the parenthisis  so 6+4 = 10 x 3 = 30

YOUR ANSWER IS 30

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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We have to find the slope having points (-1,1) and (1,-1), We are going to use the formula for the slope of the line

The answer is m= -1

The solution set for y = 4x-3 is {(2,5)} from the replacement set {(-3, 9), (-2, -11), (0, -2), (2,5)}.

The provided function is an equation of line in slope-intercept form of line.

According to which, if a line has slope m and it has the Y-intercept c, then the equation of line will be,

y = mx+c,

One thing to be noted here is, if the line passes through (a,b) then it will satisfy the equation and also, it will be called a solution of the equation.

The equation is y = 4x-3,

The given replacement sets is, {(-3, 9), (-2, -11), (0, -2), (2,5)}.

We will check for each and every element of the set,

1. For (-3,9)

Putting values in,

y = 4x-3

9 = 4(-3)-3

9 ≠ -15

Not a solution.

2. For (-2,11)

Putting values in,

y = 4x-3

11 = 4(-2)-3

11 ≠ -11

Not a solution.

3. For (0,-2)

Putting values in,

y = 4x-3

-2 = 4(0)-3

-2 ≠ -3

Not a solution.

4. For (2,5)

Putting values in,

y = 4x-3

5 = 4(2)-3

5 = 5

It is a solution for the equation y = 4x -3.

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Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

Step-by-step explanation:

Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...

  40s +20b +4a = 64 . . . . grams of protein

  10s +2b +20a = 29 . . . . grams of carbohydrate

  1s +20b +32a = 72.5 . . . milligrams of vitamin A

There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...

  s = 0.5

  b = 2

  a = 1

The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.

Answer:

E

Step-by-step explanation:

I am a line & domain is -7

Step-by-step explanation:

1. y <= 0

2. all real numbers

3. y >= 0

4. y >= 2

5. y >= -2

6. y <= 2

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

400 is a flat rate. adding that to the variable. c × 15 represents the earnings per c customers. this is the right answer I promise.

Answer:

I thinks it A

Step-by-step explanation:

it seems right

Answer:

2.2 ft.

Step-by-step explanation:

11 / 5

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)