How do you find the x and y-intercepts to the points (5,2) and (7,4)

Answer:

(-9,4)

Step-by-step explanation:

Shift right by 7 units means add 7 to x

horizontal reflection means multiply x by -1

vertical stretch by factor of 2means multiply y by 2

shift down 4 units means subtract 4 from y

Answer:

$105

Step-by-step explanation:

$1260/12=$105

Answer:

9/20

Step-by-step explanation:

I guess I was help full for u

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Linear approximate L(x) is equals to L(5π/12) ≈ 0.9659.

Linear approximation for L(4.4) = 2.1.

Newton's method to approximate √5 ≈ 2.2361

Newton's method to approximate the positive root of x³ + 7x - 2 = 0 is 0.280

The linear approximation, L(x), of f(x) = sin(x) at x = π/3 is equals to,

L(x) = f(π/3) + f'(π/3)(x - π/3)

where f'(x) is the derivative of f(x).

Since f(x) = sin(x), we have f'(x) = cos(x).

This implies,

L(x) = sin(π/3) + cos(π/3)(x - π/3)

     = √3/2 + 1/2 (x - π/3)

To approximate sin(5π/12),

use L(5π/12) since it is a good approximation near π/3.

L(5π/12) = √3/2 + 1/2 (5π/12 - π/3)

             = √3/2 + 1/8 π

⇒L(5π/12) ≈ 0.9659

The linear approximation, L(x), of f(x) = √x at x = 4 is equals to,

L(x) = f(4) + f'(4)(x - 4)

where f'(x) is the derivative of f(x).

Since f(x) = √x, we have f'(x) = 1/(2√x).

This implies,

L(x) = √4 + 1/(2√4)(x - 4)

     = 2 + 1/4 (x - 4)

To approximate √4.4,  use L(4.4) since it is a good approximation near 4.

L(4.4) = 2 + 1/4 (4.4 - 4)

         = 2.1

To use Newton's method to approximate √5, start with an initial guess x₀ and iterate using the formula.

xₙ₊₁= xₙ - f(xₙ)/f'(xₙ)

where f(x) = x² - 5 is the function we want to find the root of.

Since f'(x) = 2x, we have,

xₙ₊₁= xₙ  - (xₙ² - 5)/(2xₙ)

= xₙ/2 + 5/(2xₙ)

Choose x₀ = 2 as our initial guess,

since the root is between 2 and 3. Then,

x₁= 2/2 + 5/(22)

   = 9/4

   = 2.25

x₂ = 9/8 + 5/(29/4)

    = 317/144

     ≈ 2.2014

x₃ = 2929/1323

    ≈ 2.2134

x₄ = 28213/12789

   ≈ 2.2361

Continuing this process, find that √5 ≈ 2.2361 to four consistent decimal places.

To use Newton's method to approximate positive root of x³ +7x - 2= 0.

Initial guess x₀ and iterate using the formula.

xₙ₊₁= xₙ  - f(xₙ)/f'(xₙ)

where f(x) = x³ + 7x - 2 is the function find the root

Since f'(x) = 3x² + 7, we have,

Choose a starting point x₀ that is close to the actual root.

x₀ = 1, since f(1) = 6 and f(2) = 20, indicating that the root is somewhere between 1 and 2.

Use formula xₙ₊₁= xₙ - f(xₙ) / f'(xₙ) to iteratively improve the approximation of the root until we reach desired level of accuracy.

Using these steps, perform several iterations of Newton's method,

x₀ = 1

x₁ = x₀ - f(x₀) / f'(x₀)

   = 1 - (1³ + 7(1) - 2) / (3(1)² + 7)

   = 0.4

x₂ = x₁ - f(x₁) / f'(x₁)

   = 0.4 - (0.4³ + 7(0.4) - 2) / (3(0.4)² + 7)

   = 0.29

x₃ = x₂ - f(x₂) / f'(x₂)

   = 0.29 - (0.29³ + 7(0.29) - 2) / (3(0.29)² + 7)

   = 0.282497

   = 0.28

x₄ = x₃ - f(x₃) / f'(x₃)

   = 0.28 - (0.28³ + 7(0.28) - 2) / (3(0.28)² + 7)

   = 0.279731.

   = 0.280

After four iterations, an approximation of the positive root to three consistent decimal places is x ≈ 0.280.

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Answer:

Step-by-step explanation:

Solving by completing square

Answer: (fºg)(x) = 28x + 2

(Step-by-step explanation:

We can conclude that if g o f is onto, it does not necessarily mean that f is onto.

To answer this question, we need to understand what it means for a function to be onto. A function f : X -> Y is onto if every element in the codomain Y is mapped to by at least one element in the domain X. In other words, for every y in Y, there exists an x in X such that f(x) = y. Now, let's consider the functions f : X -> Y and g : Y -> Z. If g o f is onto, this means that every element in the codomain of g o f is mapped to by at least one element in the domain of g o f. Recall that g o f means applying f first and then g. So, for every z in Z, there exists an x in X such that g(f(x)) = z. This tells us that f(x) is mapped to some element y in Y such that g(y) = z. But does this guarantee that f is onto? The answer is no. Here's a counterexample: Let X = {1}, Y = {2, 3}, and Z = {4}. Define f(1) = 2 and g(2) = g(3) = 4. Then g o f(1) = g(f(1)) = g(2) = 4, which means that g o f is onto. However, f is not onto because it only maps 1 to 2 and not to 3.
Therefore, we can conclude that if g o f is onto, it does not necessarily mean that f is onto.

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Answer:

x - 2

Step-by-step explanation:

\( \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2\)

The triangle proportionality theorem, used to evaluate the figures indicates that we get;

8. \(\overline{ST}\) ║ \(\overline{PR}\)

9. \(\overline{ST}\) ║ \(\overline{PR}\)

10. \(\overline{ST}\) ∦ \(\overline{PR}\)

11. x = 57.6

12. x = 27.3

13. x = 11

14. x = 10

15. x = 5

16. x = 17

The triangle proportionality theorem states that, in a triangle, a line drawn parallel to one of the sides of a triangle and intersects the other two sides at two different points, then the ratio in which the other two sides are divided by the line are the same.

8. The triangle proportionality theorem indicates, if  \(\overline{ST}\) and \(\overline{PR}\) are parallel,   \(\overline{ST}\) ║ \(\overline{PR}\), we get; QS/SP = QT/TR

QS/SP = 7/11.2 = 0.625

QT/TR = 10/16 = 0.625

9. Where \(\overline{ST}\) and \(\overline{PR}\) are parallel,   \(\overline{ST}\) ║ \(\overline{PR}\), we get;

PS/SQ = RT/TQ

PS = 102 - 45 = 57

PS/SQ = 57/45 = 1.2\(\overline{6}\)

RT/TQ = 41.8/33 = 1.2\(\overline{6}\)

10. Where \(\overline{ST}\) is parallel to \(\overline{PR}\), we get;

QS/SP = QT/TR

QS/SP = 19/38 = 0.5

QT/TR =  24/52 = 6/13 ≠ 0.5

11. The triangle proportionality theorem, indicates that we get;

48/25 = x/30

x/30 = 48/25

x = (48/25) × 30 = 57.6

12. Making use of the triangle triangle proportionality theorem, we get;

(49 - 28)/28 = x/36.4

x/36.4 = (49 - 28)/28

x = ((49 - 28)/28) × 36.4 = 27.3

13. 32/60 = (2·x + 6)/52.5

(2·x + 6)/52.5 = 32/60

(2·x + 6) = (32/60) × 52.5 = 28

(2·x + 6) = 28

2·x = 28 - 6 = 22

x = 22/2 = 11

14. (x - 3)/21 = (x - 1)/27

27 × (x - 3)= 21 × (x - 1)

27·x - 27 × 3 = 21·x - 21

27·x - 21·x = -21 + 27 × 3 = 60

6·x = 60

x = 60/6 = 10

15. (7·x - 11)/(4·x - 2) = 20/(35 - 20)

(7·x - 11)/(4·x - 2) = 20/(35 - 20) = 20/15

(7·x - 11)/(4·x - 2) = 20/15

15 × (7·x - 11) = (4·x - 2) × 20

105·x - 165 = 80·x - 40

105·x - 80·x = 25·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

16. 35/(x - 3) = (x - 7)/4

35 × 4 = (x - 3) × (x - 7)

140 = x² - 10·x + 21

x² - 10·x + 21 - 140 = 0

x² - 10·x - 119 = 0

x² - 10·x - 7 × 17 = 0

x² + 7·x - 17·x - 17 × 7 = 0

x·(x + 7) - 17·(x + 7) = 0

(x + 7)·(x - 17) = 0

x = -7, or x = 17

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The probability of not selecting a person with blood type B+ is 90/100.

a) To find the probability of selecting a person with blood type A+ or A- (P(A+ or A-)), first count the number of people with each blood type, then divide the sum of those counts by the total number of people (100).

Number of people with blood type A+ = 34
Number of people with blood type A- = 6

P(A+ or A-) = (34 + 6) / 100 = 40/100

So, the probability of selecting a person with blood type A+ or A- is 40/100.

b) To find the probability of not selecting a person with blood type B+ (P(not B+)), first count the number of people without blood type B+ and then divide that count by the total number of people (100).

Number of people with blood type B+ = 10
Number of people without blood type B+ = 100 - 10 = 90

P(not B+) = 90 / 100 = 90/100

So, the probability of not selecting a person with blood type B+ is 90/100.

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The total amount of money earned by Kerri is $135.

Given that, Kerri earns $15 an hour tutoring.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the total amount of money earned by Kerri be x.

Now, total number of hours = 2+3+4=9 hours

Total money = Number of hours worked × Amount earned in an hour

x=9 × 15

⇒ x = 135

Therefore, the total amount of money earned by Kerri is $135.

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Answer:

012

Step-by-step explanation:

please mark brainliest if correct

A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

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Answer: 16.6 - 1.67x

Answer:

16.6 - 1.67x

Answer:

275

Step-by-step explanation:

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

the amount of tax on the car is $1299

Answer:

\(m\angle 2=53^{\circ}\)

\(m\angle 7=74^{\circ}\)

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and \(n\angle 3=37^{\circ}\).

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

\(m\angle HKJ+m\angle HKG=90^{\circ}\)    (Interior angles of a rectangle are right angles)

\(m\angle 3+m\angle HKG=90^{\circ}\)

\(37^{\circ}+m\angle HKG=90^{\circ}\)

\(m\angle HKG=90^{\circ}-37^{\circ}\)

\(m\angle HKG=53^{\circ}\)

In an isosceles triangle, angle with equal sides are equal.

\(m\angle JGK=m\angle HKG\)

\(m\angle 2=53^{\circ}\)

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

\(m\angle OGK+m\angle OKG+m\angle GOK=180^{\circ}\)    (Angle su property)

\(53^{\circ}+53^{\circ}+m\angle GOK=180^{\circ}\)

\(106^{\circ}+m\angle GOK=180^{\circ}\)

\(m\angle GOK=180^{\circ}-106^{\circ}=74^{\circ}\)

Vertical opposite angles are equal. So,

\(m\angle 7=74^{\circ}\)

Therefore, measure of angle 7 is 74 degrees.

The statement in question 18 is FALSE. The Z test assumes that the populations are normally distributed, so it is not appropriate if the populations are not normally distributed, regardless of the sample size.

Regarding the second statement, it is also FALSE. The Joint Variance Test is not used to determine a significant difference between the means of two populations, but rather to compare the variances of two populations.

Lastly, the statement about analysis of variance (ANOVA) is also FALSE. ANOVA is used to compare the means of more than two groups, not their standard deviations.

In summary, the first statement is false as the Z test requires normal distribution, the second statement is false as the Joint Variance Test is not used for means comparison, and the third statement is false as ANOVA compares means, not standard deviations.

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The Linear regression equation is -

y = 0.2699x - 3.920 where x represents the years after 1900 and y represents the cheese consumption.

The linear regression equation describes the relationship between the Dependent variable [DV] and the Independent variable [IV].

It is represented as Y = mx + b , where Y is the Dependent variable, X is the Independent variable , m is the estimated slope and b is the estimated intercept.

According to the equation ,

m = 0.2699

b = -3.920

Hence, the  linear regression equation is  y = 0.2699x - 3.920.

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Answer:

Step-by-step explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

50 km/h

Step-by-step explanation:

Avg. speed = distance / time

= 200 km / 4 hours

= 50 km/h

Answer: 35%

Step-by-step explanation:

$70,000 was the down payment for a total price of $200,000.

Down payment percentage = 70,000 / 200,000

= 0.35

= 35%

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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Answer:

0.00863

Step-by-step explanation:

move decimal to the left 3 times!