Enter the slope-intercept equation of the line shown below.​

Answer:

domain: -1<x    range:y<-1

Step-by-step explanation:

seeing as how the x value seems to start at -1, but keeps going past that to the right, we can get the equation x>-1.  seeing as how the y value seems to start at -1, but keeps going down, we can get the equation y<-1.

Answer:

a) x = 1.5 or x = -0.3

b) x = 5 or x = -8

Explanation:

Quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \:\: ax^2 + bx + c = 0\)

Here given equation: 5x² - 6x  - 2 = 0

Identify variable constants: a = 5, b = -6, c = -2

Putting these values into equation:

\(\sf x = \dfrac{ -(-6) \pm \sqrt{(-6)^2 - 4(5)(-2)}}{2(5)}\)

\(\sf x = \dfrac{ 6 \pm \sqrt{36 + 40}}{10}\)

\(\sf x = \dfrac{ 6 \pm \sqrt{76}}{10}\)

\(\sf x = \dfrac{ 3\pm \sqrt{76}}{5}\)

\(\sf x = \dfrac{ 3+ \sqrt{76}}{5} \quad or \quad \dfrac{ 3- \sqrt{76}}{5}\)

In one decimal point:

\(\sf x = 1.5 \quad or \quad -0.3\)

b) Here use "middle term split" method

⇒ x² + 3x = 40

relocate

⇒ x² + 3x - 40 = 0

The factors of 40 are 8 and 5

⇒ x² + 8x - 5x - 40 = 0

factor common terms

⇒ x(x + 8) - 5(x + 8) = 0

collect into groups

⇒ (x - 5)(x + 8) = 0

set to zero

⇒ x - 5 = 0 or x + 8 = 0

relocate

⇒ x = 5 or x = -8

Step-by-step explanation:

a) The quadratic formula can help find answers to a quadratic equation when it is equal to 0. The formula is \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) for a quadratic equation of the form \(ax^2+bx+c=0\).

In this question, a is 5, b is -6, and c is -2. Let's put them in the equation and solve.

\(x=\frac{6\pm\sqrt{(-6)^2-4(5)(-2)}}{2(5)}\\x=\frac{6\pm\sqrt{36+40}}{10}\\x=\frac{6\pm\sqrt{76}}{10}\\x=\frac{6\pm2\sqrt{19}}{10}\\x=\frac{3\pm\sqrt{19}}{5}\)

This means that the value of x is both \(\frac{3+\sqrt{19}}5\) and \(\frac{3-\sqrt{19}}5\), since both values make x equal to 0. Putting both into the calculator, we get that \(x=1.5\) or \(x=-0.3\).

b) We can easily solve this equation using factoring, which turns a quadratic into two factors, and finds the solutions by setting both to 0. This will only work if the quadratic is equal to 0.

\(x^2+3x-40=0\)

Now, we have to find two numbers that add to 3 and multiply to -40. The numbers 8 and -5 work, as 8-5=3 and 8*-5 is -40.

we can now make our factors x+8 and x-5

\((x+8)(x-5)=0\)

If two numbers, say A and B, are being multiplied and equal 0, then either A is 0, or b is 0, or both. Similarly, if x+8 and x-5 are being multiplied and equal 0, either x+8 = 0, or x-5=0.

\(x+8=0\\x=-8\)    \(x-5=0\\x=5\)

This makes our solutions x=-8 and x=5.

If you are not familiar with factoring or the process I have went through above, I highly recommend learning about it.

Answer:

only C is a function cause a function has only 1 same value.

Answer:

the perimeter of square is 115.6

Answer:

115.6

Step-by-step explanation:

Because a square = 4 equal sides

28.9 x 4

115.6

The gender of customers using an ATM machine is not an independent event because the outcome of one trial does influence or change the outcome of another. The correct option is (b).

The independence of events in probability theory refers to whether the occurrence of one event affects the probability of the occurrence of another event.

In this case, the gender of customers using an ATM machine cannot be considered independent events because gender is not randomly assigned and is correlated with other factors such as income, age, and location.

For example, in some areas, more women may use the ATM machine during certain times of the day than men. Similarly, cultural or social norms can also affect the gender distribution of ATM users.

Moreover, the gender of one customer using the ATM machine can influence or change the probability of another customer of the same or opposite gender using the machine immediately after.

For example, if a female customer takes longer than expected to complete a transaction, this could cause other female customers to wait longer, resulting in a higher probability of male customers using the machine during that time.

Therefore, the correct answer is option (b) Not independent, because the outcome of one trial does influence or change the outcome of another.

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The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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Answer:

5 yards

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

mark me brainy plz

Answer:

=−13m−28

Step-by-step explanation:

Let's simplify step-by-step.

2−13m−30

=2+−13m+−30

Combine Like Terms:

=2+−13m+−30

=(−13m)+(2+−30)

=−13m+−28

Answer:

Step-by-step explanation:

Part A

Since, BDFHJ is a regular pentagon,

Measure of interior angles of this pentagon = \(\frac{(n-2)\times 180}{n}\)

= \(\frac{(5-2)\times 180}{5}\)

= 108°

Since, ∠ABC ≅ ∠JBD [Vertical angles]

Therefore, m∠ABC = m∠JBD = 108°

Part B

m∠JBD + mCBD = 180° [Linear pair of angles]

108° + m∠CBD = 180°

m∠CBD = 180 - 108

m∠CBD = 72°

Similarly, m∠BDF + m∠CDB = 180°

m∠CDB + 108° = 180°

m∠CDB = 180 - 108

             = 72°

In ΔCBD,

m∠BCD + m∠CDB + m∠DBC = 180°

m∠BCD + 72° + 72° = 180°

m∠BCD = 180° - 144°

              = 36°

Answer:

4,000 miligrams

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

For 3 serving saffron required = 2 grams

So, for 6 (3×2)servings saffron required = 2 × 2grams

= 4 grams

As we know that,

1 gram = 1,000 milligrams

So, 4 grams = 4 × 1,000 milligrams

= 4,000 miligrams

Hence, 4,000 miligrams of saffron would be needed for 6 servings.

There are 10 people running for the 7 seats in the school's student council. The number of different student council combinations is 120.

To calculate the number of different student council combinations, we can use the concept of combinations, specifically the formula for selecting r objects from a set of n objects without replacement. In this case, we have 10 people running for 7 seats, which means we need to select 7 people from the group of 10.

The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

Plugging in the values, we have:

C(10, 7) = 10! / (7!(10 - 7)!)

= 10! / (7!3!)

Using factorials, we can simplify this calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

3! = 3 x 2 x 1 = 6

Substituting these values back into the formula:

C(10, 7) = 3,628,800 / (5,040 x 6) = 120

There are 120 different student council combinations possible when 10 people are running for the 7 available seats. This means that out of the 10 candidates, any group of 7 can be chosen to form the student council in a total of 120 different ways.

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Answer:

7 jarras costarán 14 $

Step-by-step explanation:

Si 3 cubiertos cuestan  7.20 $

1 cubierto cuesta     7.20/3  =  2.40 $

y 5 cubiertos cuestan    5* 2.40   =  12 $

que también cuestan 6 jarras  =  12 $

Luego 1 jarra cuesta  12/6  =  2  $

Por lo que 7 jarras costarán:  7 * 2  =  14 $

The magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.

To find the magnitude and direction of the vector u = <-4, 7>, we will use the following steps:

1. Calculate the magnitude using the Pythagorean theorem.
2. Calculate the direction using the arctangent function.

Step 1: Calculate the magnitude.
Magnitude (|u|) = √((-4)^2 + (7)^2) = √(16 + 49) = √65

Step 2: Calculate the direction (angle θ).
θ = arctan(opposite/adjacent) = arctan(7/-4) ≈ -60.26° (in degrees)
Since the vector is in the second quadrant, we need to add 180°.
θ = -60.26° + 180° ≈ 119.74°

So, the magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.

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Answer:

6.2 feet

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

The formula for slope is:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

Answer: -19 is the temperature. THe temperature is -19 degrees Fahrenheit

Step-by-step explanation:

Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

To show that if x > y + z for any real numbers x, y, and z, there exist rational numbers a > y and b > z such that x > a + b, we can follow these steps:

1. Since x, y, and z are real numbers, we can find rational numbers between any two real numbers.

2. Let's find a rational number a such that y < a < x - z. Since y and x - z are real numbers, there must exist a rational number a between them.

3. Similarly, find a rational number b such that z < b < x - a. Since z and x - a are real numbers, there must exist a rational number b between them.

4. Now, we have y < a and z < b, which means a > y and b > z, satisfying the given conditions.

5. Since a > y and b > z, adding the two inequalities gives a + b > y + z.

6. We know that x > y + z, so combining this with the previous inequality gives x > a + b.

Thus, we have shown that if x > y + z for any real numbers x, y, and z, there exist rational numbers a > y and b > z such that x > a + b.

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He equation that rightly shows the Commutative Property of addition is

10 x3/10 = 3/10 x 10

The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.

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The explanatory variable is temperature, as the farmer wants to use it to predict the harvest of similar crops.

The response variable is the harvest of the crop, as this is the variable that is being predicted by the temperature. In this scenario, the explanatory variable is the temperature, as it is being used to predict the outcome. The response variable is the harvest of the crop, as it is the outcome that the farmer wants to understand based on the explanatory variable. Your answer: The explanatory variable is the temperature. The response variable is the harvest of the crop.

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The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

The time dilation using the Lorentz transformation formula is presented as follows;

\(t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } \)

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\(\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8\)

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

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Answer:

If the given height of the highway is 50k and if they have given 1m=3.28feet, we need to multiply the given meters with 3.28 to get the required answer

⇒50×3.28=164

∴The required value is 164 feet.

If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point  of view,

Toss a coin twice, and then then roll a 6-sided number cube.

How can he play a statistically fair game to get exactly 24 outcomes?

The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.

The first of the alternatives is the only one with a sample space of 24 elements.

Flip two coins, then roll a D6.

The results of each coin toss are 2:  (tails and heads).

There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)

The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:

C = 2 × 2 × 6

C = 24

Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.

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Given that none of the provided options directly address the power of the test described, we can conclude that the answer is:

c) None of these.

The power of a test refers to the probability of correctly rejecting the null hypothesis when it is false. It measures the ability of a statistical test to detect a true effect or relationship.

The description of the power of the test cannot be determined based on the given options.

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Answer:

21

Step-by-step explanation:

Answer:

Twin Bed – $60.48

Shoes - $20

Dresser, Mirror, Bookshelf - $82.11

Blanket, Clothes, Toys, Diapers - $277

This gives us a total of 439.59

Step-by-step explanation:

Answer:

ooo UT I did one of their courses before Now to your answer: A is Y= 7x + 2 thats the only one i know sorry

Step-by-step explanation:

The graph of the equation given is mentioned below.

What is plot point in graph ?

Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.

Equation given,

y = 3/5x - 1    ----eq(i)

y = 2/5x        -----eq(ii)      

Now, for this two equation we infinite points for real numbers.

Now, take some points to plot the graph.

First for the eq(i)

Put x = 0, so y = -1

Put x = 5, so y = 2

Points for eq(i) is (0, -1) and (5, 2)

Now, for eq(ii)

Put x = 0, so y = 0

Put x = 5, so y = 2

Points for eq(ii) is (0, 0) and (5, 2)

Common point is (5, 2)

Now, plot this point on graph.

Hence, for more clarity graph of the equation given is mentioned below.

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Answer:

its 1 bc (7+3) =10 then 2×10= 20÷20=1

Answer: this equation couldn't be determined

Step-by-step explanation:

The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)

Answer:

9. 64

10. 21

11. A (I believe)

Step-by-step explanation:

The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.