Find the coordinate that will make this equation true? PLEASE HELP!!!

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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The algebraic expression for the statement, "16 more than the product of 43y", is : 43y + y.

An algebraic expression can be described as an expression that consists of terms and algebraic operations.

The terms could be variables and constants, while the algebraic operations could be addition, subtraction, multiplication, or division.

For example,  3x² − 2xy + 5 is an algebraic expression that consists of three terms.

To write an algebraic expression for the statement given above, we have the following:

The variable that represents the unknown number is y.

Product means multiplication.

The product of 43 and a is: 43 × y = 43y.

Therefore, "16 more than the product of 43y" would be translated as: 43y + y.

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Answer:

The answer is (-2 , 1 ) or D on Edge

Step-by-step explanation:

The coordinates of vertex A of square ABCD is (-1, -2).

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane.

Given:

A(-5, -3), B(-3, -1), C(-1, -3) and D(-3, -5)

By using the rule

T(-4, -1)

So, the coordinate of Vertex A will be

A( -5 + 4, -3 + 1)

=A(-1, -2)

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Answer:

8

Step-by-step explanation:

Given that :

Number of activities = 4

Standard deviation of each activity = 4

Standard deviation of the critical path =?

To obtain the standard deviation of the critical path :

Take the square of each standard deviation:

Activity 1 = 4² = 16; activity 2 = 4² = 16 ; activity 3 = 4² = 16 ; activity 4 = 4² = 16

Sum of the squares :

16 + 16 + 16 + 16 = 64

Square root of the sum:

√64 = 8

1 . The following formula can be used to determine the likelihood that a pupil is proficient in arithmetic but not reading:

P(math proficient and not reading proficient) = P(math proficient) - P(math and reading proficient)

We are aware that 65% of kids are fluent in both reading and mathematics, and 78% of children are proficient in arithmetic.

So, the probability that a student is proficient in mathematics but not reading is:

78% - 65% = 13%.

2 . The following formula can be used to determine the likelihood that a pupil is proficient in reading but not mathematics:

P(reading proficient and not math proficient) = P(reading proficient) - P(math and reading proficient)

We are aware that 65% of children are proficient in both reading and mathematics, and 85% of pupils are proficient readers.  So, the probability that a student is proficient in reading but not mathematics is:

85% - 65% = 20%.

3 . The formula P(math and reading proficient) = P(math proficient) + P(reading proficient) - P can be used to determine the likelihood that a student is proficient in both reading and math (math proficient or reading proficient)

We are aware that 78% of pupils demonstrate arithmetic proficiency, 85% demonstrate reading proficiency, and 65% demonstrate reading and math proficiency. Therefore, there is a 65% chance that a student will be proficient in both reading and mathematics.

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The probability that a student is proficient in mathematics but not reading is 13%. The probability that a student is proficient in reading but not mathematics is 20%.There is a 65% chance that a student will be proficient in both reading and mathematics.

1 . The following formula can be used to determine the likelihood that a pupil is proficient in arithmetic but not reading:

P(math proficient and not reading proficient) = P(math proficient) - P(math and reading proficient)

We are aware that 65% of kids are fluent in both reading and mathematics, and 78% of children are proficient in arithmetic.

So, the probability that a student is proficient in mathematics but not reading is:

78% - 65% = 13%.

2 . The following formula can be used to determine the likelihood that a pupil is proficient in reading but not mathematics:

P(reading proficient and not math proficient) = P(reading proficient) - P(math and reading proficient)

We are aware that 65% of children are proficient in both reading and mathematics, and 85% of pupils are proficient readers.  So, the probability that a student is proficient in reading but not mathematics is:

85% - 65% = 20%.

3 . The formula P(math and reading proficient) = P(math proficient) + P(reading proficient) - P can be used to determine the likelihood that a student is proficient in both reading and math (math proficient or reading proficient)

We are aware that 78% of pupils demonstrate arithmetic proficiency, 85% demonstrate reading proficiency, and 65% demonstrate reading and math proficiency. Therefore, there is a 65% chance that a student will be proficient in both reading and mathematics.

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Answer:

D.

Step-by-step explanation:

Since opposite angles of a quadrilateral inscribes in a circle add up to 180°

So,

<P + <N = 180°

2x+2x-12 = 180°

4x = 180+12

4x = 192

Dividing both sides by 4

x = 48

Now

<P = 2(48)

<P = 96

Now

<N = 2(48)-12

<N = 96-12

<N = 84

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Answer:

x is 21. dccxpxpdpdpdpdp

Answer:

Mutual

Step-by-step explanation:

33° +2x-15 =90

2x =90+15-33

2x=72

X=36

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

Answer:

Okays so John is going 50mph

50 is 1 hour

100 is 2 hours

150 is 3 hours

200 is 4 hours

250 is 5 hours

300 is 6 hours

350 is 7 hours

400 is 8 hours

450 is 9 hours

500 is 10 hours

550 is 11 hours

600 is 12 hours

650 is 13 hours

700 is 14 hours

750 is 15 hours

He will go 750 miles from his starting point in 15 hours

The answer is: 750 miles

I hope this helps you!

4) If a shoe of size 9.5 is added to the data, the way the median would change is that; The median will increase to 7

5) If a value of 50° is added, the way that the median will change is that; The Median decreased to 77°

6) If 101° is added, then ; Mean increases to 82°

4) Arranging the shoe sizes from least to greatest is;

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median here will be; (7 + 6.5)/2 = 6.75

If a size of shoe of 9.5 is added, the sizes will be arranged as;

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9.5

The median will increase to 7

5) Arranging the average high temperatures from least to greatest is;

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The median here will be; (77 + 82)/2 = 78.5

If we add 50° to the values, the median is now;

Median = 77

Median decreased to 77°

6) 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The mean is; (57 + 58 + 61 + 66 + 71 + 77 + 82 + 91 + 95 + 100 + 102 + 105)/12 = 80.42

If 101° is added, mean = (965 + 101)/13 = 82

Mean increases to 82°

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Answer:

(f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

Step-by-step explanation:

The value of k is  ±5/√2.

What is the tangent of the line?

The straight line that "just touches" the curve at a given position is known as the tangent line to a plane curve at that location. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

Here, we have

Given: x² + y² = 25, where y = x+k

A point on the line y = x+k can be expressed as (x,x+k).

The slope of the tangent line is 1.

At the point of tangency, the tangent line is perpendicular to the radius of the circle that goes through the point of tangency

Slope of line through (0,0) and (x,x+k) is (x+k)/x = -1

x+k = -x    So, k = -2x

Point of tangency = (x, x+k) = (x, -x)

Since (x, -x) lies on the circle,

we have x² + (x)² = 25     2x² = 25

    x² = 25/2

  x = ±5/√2

Hence, the value of k is  ±5/√2.

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Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

D) 50

Step-by-step explanation:

-100 <-45 < 20 < 50

Answer:

50

Step-by-step explanation:

any numbers approaching negative (before 0) in an increasing manner are the lowest, whereas numbers approaching positive in a increasing manner are the greatest.

The given binomial is a factor of the polynomial p(x) with remaining factors of (x + 1)(x - 1).

For the given question.

The polynomial is given as; x³ + 2x² -x - 2.

The binomial is given as; (x +2).

The, to get the remainder, divide the polynomial with the binomial.

= (x³ + 2x² - x - 2)/ (x +2)

Taking x² common from the first two terms of the numerator and (-1) from the last two terms.

= x²(x + 2) - (x + 2)/ (x +2)

Taking (x + 2) common from two terms.

= (x + 2)(x² - 1)/(x + 2)

Cancel (x + 2) from both.

= (x² - 1)

Now use the identity to open the square.

(a²  + b² ) = (a + b) (a - b)

= (x + 1)(x - 1).

Thus, the given binomial is a factor of the polynomial p(x) with remaining factors of (x + 1)(x - 1).

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The correct question is-

Determine whether the given binomial is a factor of the polynomial p(x).

If so, find the remaining factors of p(x).

p(x) = x³ + 2x² -x - 2 ; (x +2)

Answer:

a

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

i took the test

y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

The slope-intercept form of a straight line is y = mx + c.

Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.

Given, two points are C(1, 1) and (3, 5).

Therefore, equation of the line CD is:

\(\frac{x - x_{1} }{y-y_{1} }\) = \(\frac{x_{1}-x_{2}}{y_{1}-y_{2}}\)

⇒ \(\frac{x - 1}{y-1}\) = \(\frac{1-3}{1-5}}\)

⇒  \(\frac{x - 1}{y-1}\) = \(\frac{-2}{-4}}\)

⇒2(x - 1) = (y - 1)

⇒ y = 2x - 1

Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).

Therefore, slope of the line CD is = 2.

We know, slope of CD × slope of AB = -1

Therefore, slope of AB = -1 / slope of CD = \(-\frac{1}{2}\).

Now, line AB has a slope of \(-\frac{1}{2}\) and passes through the point (-1, 6).

Therefore, equation of the line AB is:

(y - y₁) = m(x - x₁)

⇒ [y - (6)] = \(-\frac{1}{2}\)[x - (- 1)]

⇒ 2(y - 6) = (-x - 1)

⇒ 2y - 12 + x + 1 = 0

⇒ x + 2y = 11

⇒ y = - 0.5x + 5.5

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Answer:

2.4

Step-by-step explanation:

The bottom is a right triangle.  You know the 2 legs, you need the hypotenuse.

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(1^{2}\) + \(1^{2}\) = \(c^{2}\)

1 + 1 = \(c^{2}\)

2 = \(c^{2}\)

\(\sqrt{2}\) = \(\sqrt{c^{2} }\)

\(\sqrt2\) = c

Now we know the 2 legs for the larger triangle on top.

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(\sqrt{2} ^{2}\) + \(2^{2}\) = \(c^{2}\)

2 + 4 = \(c^{2}\)

6 = \(c^{2}\)

\(\sqrt{6}\) = \(\sqrt{c^{2} }\)

\(\sqrt{6}\) = c

\(\sqrt{6}\) rounded to the tenths place is 2.4

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

m=6

Step-by-step explanation:

Using the slope formula-

m=8+4/5-3

m=12/2

m=6

Answer:

6

Step-by-step explanation:

slope =∆y

∆x

=8--4/5-3

=6

Answer:

Step-by-step explanation:

Mass of the planet:

The water's mass:

Mass of the planet's water:

Answer:

2.2

Step-by-step explanation:

sqrt 5 = 2.2360679775 = approx. 2.2

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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The equation of the piecewise function is \(f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right\)

On the graph, we have:

Hence, the piecewise function is:

\(f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right\)

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

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Answer: 2g - 32

Step-by-step explanation:

-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g

First step is to use the distributive property to distribute 2.

The expression is now:

-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g

Now you put the like terms together..

-6g + 16g - 9g - 6g + 16g - 9g -16 - 16

All that is left to do is combine them!

(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)

2g + (-32)

2g - 32

Hope that helped!