Please gimme the variables to define the sytem and 2 system of equations

g(x) = 2x^2

for g(- 4), you just plug in - 4 for x

g(- 4) = 2(- 4)^2

g(- 4) = 2(16)

g(- 4) = 32

Answer:

g(-4) = 32

Step-by-step explanation:

Given the quadratic function, g(x) = 2x², finding the output value given g(-4) involves substituting the value of the input, x = -4, into the function.

g(x) = 2x²

g(-4) = 2(-4)² = 2(-4)(-4)

g(-4) = 2(16)  

g(-4) = 32

Therefore, g(-4) = 32.

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

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The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of dog treats in the shop = 6157

Number of treats per bag = 7

Extra treats will be given to the groomer.

Then, the number of bags will be,

6157/7 = 879.57

This means that a total of 879 bags are there, with 7 pieces of treats per bag.

So, the total number of treats in 879 bags will be,

879 × 7 = 6153

So, the amount of treats left for the groomer is,

6157 - 6153 = 4 treats.

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ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer:

C. 7°F

Step-by-step explanation:

Answer

0.823742

Step-by-step explanation:

just a genius

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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The combinations between the linear function g(x) = 4 · x + 1 and the quadratic function g(x) = 4 · x + 1 are f ° g (x) = 16 · x² + 44 · x + 10 and g ° f (x) = 4 · x² + 36 · x + 1, respectively.

Let be f(x) and g(x) a linear function and a quadratic function, respectively. The composition between two functions is represented below:

f ° g (x) = f [g(x)]

g ° f (x) = g [f(x)]

Where the input of the former function is substituted by the latter function. Now we proceed to find the resulting function:

f(x) = x² + 9 · x

g(x) = 4 · x + 1

f ° g (x) = (4 · x + 1)² + 9 · (4 · x + 1)

f ° g (x) = 16 · x² + 8 · x + 1 + 36 · x + 9

f ° g (x) = 16 · x² + 44 · x + 10

g ° f (x) = 4 · (x² + 9 · x) + 1

g ° f (x) = 4 · x² + 36 · x + 1

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Answer:

b. 11 apples; 1 orange

Step-by-step explanation:

We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.

a. 1 apple; 11 oranges

1 apple for $0.20

11 oranges for $0.30 each

0.20 + 11*0.30 = $3.50

Possible solution

b. 11 apples; 1 orange

11 apples for $0.20 each

1 orange for $0.30

11*0.2 + 0.3 = 2.5

Not $3.5, so this is not a possible solution.

This is the answer

c. 7 apples; 7 oranges

7*0.2 + 7*0.3 = $3.5

Possible

d. 4 apples; 9 oranges

4*0.2 + 9*0.3 = $3.5

Possible

Therefore the solution to the given problem is  the each of the congruent base angles is 70°

In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.

Here,

As the triangle is an isosceles triangle therefore it will have 2 same angles

thus,

Sum of the 3 angles of a triangle=180°

Vertex angle =40°

Sum of two congruent angles=180°–40°=140°

Measure of each base angle=70°

Therefore the each of the congruent base angles is 70°

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Answer:

6 boys

Step-by-step explanation:

Subtract to find the total number of girls.

9 - 2 = 7 girls

Write a ratio from boys to girls.

2:7

Divide to find the scale factor.

21 / 7 = 3

Multiply to find the total number of boys.

3 * 2 = 6

Best of Luck!

Answer:

42.9%

Step-by-step explanation:

If 16 are men, this means 12 of the students are women (28 - 16 = 12)

So, 12 out of 28 are women = 12 ÷ 28 = 0.42857... = 42.857...% = 42.9%

A three-person jury can be selected from a pool of eleven people in 165 ways.

For the given question;

The total number of person in the pool = 11.

The number of jury selected = 3.

Thus, the combination will be ⁿCₓ.

Where, n = 11 and x = 3.

¹¹C₃ = 11!/3!(11 - 3)!

Simplifying;

¹¹C₃ = 165

Thus, the number of ways in which three jury can be selected from 11 pool of members is 165.

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The function would be \(f(x)=\frac{1}{2}x + 1 \ and\ f(x)=\frac{1}{2}x - \frac{1}{2}\)

What is linear function?

A linear function is one with one or two variables that does not have exponents. It is a function that has a straight line graph.

A linear function has the form f(x) = mx + b, where m is the slope and b is the y-intercept. To find the equation of the linear function given the values of x and f(x), we can use two points and use the slope-intercept form of the equation.

A way to find the equation of the linear function is to use the point-slope form: f(x) = m(x-x1) + f(x1), where (x1,f(x1)) is a point on the line.

If we use the points (-4,-2) and (0,0) we can find the slope:

m = (0 - (-2)) / (0 - (-4)) = 2/4 = 1/2

then using point-slope form:

f(x) = 1/2(x - (-4)) + (-2)

f(x) = 1/2x + 1

so the equation of the linear function is f(x) = 1/2x + 1

Alternatively, we can use the two points (-2,-1) and (0,0) we can find the slope:

m = (0 - (-1)) / (0 - (-2)) = 1/2

then using point-slope form:

f(x) = 1/2(x - (-2)) + (-1)

f(x) = 1/2x - 1/2

so the equation of the linear function is f(x) = 1/2x - 1/2.

Therefore, equation f(x) = 1/2x+1 and f(x) = 1/2x - 1/2 represents the given values of x and f(x)

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The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Solution:

The sum of 50 and 2x must equal 150 because of vertically opposite angles.

Thus, the equation formed:

Simplify the equation to find x.

Subtract 50 both sides:

Divide 2 both sides:

The pair of angles given here share a relationship called Vertically Opposite angles...

\(50 + 2x = 150\)

\(2x = 150 - 50\)

\(2x = 100\)

\(x = 50\)

Substitute x as 50 in the equation we formed

\(50 + 2x = 150 \\ 50 + 2 \times 50 = 150 \\ 50 + 100 = 150 \\ 150 = 150\)

Hence, Proved!✓

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

sin( 3pi/4 ) = -√2/2

So, B.

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y+3=-3x+3\implies y=-3x\)

hello

to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file

Answer:

x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

6−8x=7x−10x−24

Step 1: Simplify both sides of the equation.

6−8x=7x−10x−24

6+−8x=7x+−10x+−24

−8x+6=(7x+−10x)+(−24)(Combine Like Terms)

−8x+6=−3x+−24

−8x+6=−3x−24

Step 2: Add 3x to both sides.

−8x+6+3x=−3x−24+3x

−5x+6=−24

Step 3: Subtract 6 from both sides.

−5x+6−6=−24−6

−5x=−30

Step 4: Divide both sides by -5.

−5x/-5 = -30 /-5

x=6

9514 1404 393

Answer:

  -1/8 m^3 +7

Step-by-step explanation:

The only like terms are 3/8m^3 and -1/2m^3. Adding their coefficients, you get ...

  (3/8 -1/2)m^3 = (3-4)/8m^3 = -1/8m^3

Then the simplified expression is ...

  -1/8m^3 +7