a new disease has annihilating

Answer: Martin used (x + h)² instead of (x - h)²

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

f(x) = x²

g(x) = (x + 3)²

                ↓      

              h= -3

           Shifted LEFT 3 units

Martin is not correct. The graph should be translated left 3 units from parent graph.

Given :

The function \(g(x)=(x+3)^2\)

Martin says the graph should be translated right 3 units from the parent graph

we know that ,

\(f(x)-> f(x-a)\) , the graph will be translated 'a' units right

\(f(x)-> f(x+a)\), the graph will be translated 'a' units left

From the given function g(x), 3 is added with x.

so, the graph of g(x) is translated 3 units left.

Martin is not correct. The graph should be translated left 3 units from parent graph.

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Answer:

-2.25 + 1 1/10 = -1.15

-2.25 + 1 2/10 = -1.05

-2.25 + 1 3/10 = -0.95

-2.25 + 1 4/10 = -0.85

-2.25 + 1 5/10  = -0.75

-2.25 + 1 6/10  = -0.65

-2.25 + 1 7/10  = -0.55

-2.25 + 1 8/10 = -0.45

-2.25 + 1 9/10 = -0.35

-2.25 + 1 8/9   = -0.361111111

-2.25 + 1 7/8   = -0.375

(-2.25) + 1 6/7 = -0.392857143

(-2.25) + 1 5/6 = -0.416666667

(-2.25) + 1 4/5 = -0.45

(-2.25) + 1 3/4 = -0.5

(-2.25) + 1 2/4 = -0.75   is the same as 1 5/10 = -2.25 + 1/2 = -0.75

(-2.25) + 1 2/3 = -0.583333333 - 0.47222222

(-2.25) + 1 7/9 =-0.472222222   1 7/9 is smaller number than 1 2/3 by 0.10555555

We know 1  7/9 it is smaller than 1 8/9 as  -2.25 + 1 8/9   = -0.361111111 but only by -0.111111112

as the difference of 1/9 = -0.111111112

etc etc.

Summary when adding additional 1/10 it adds 0.1

when adding additional 1/9 it adds 0.111111112

when adding additional 1/8 it adds 0.125

when adding additional 1/7 it adds 0.142857143

when adding additional 1/6 it adds 0.166666667

when adding additional 1/5 it adds 0.2

when adding additional 1/4 it adds 0.25

when adding additional 1/3 it adds 0.333332224

when adding additional 1/2 it adds 0.5

when adding additional 10/2 it adds 5 etc etc.

-

(a)

421₅ = 4×5² + 2×5¹ + 1×5⁰

… = 100 + 10 + 1

… = 111

(b)

11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰

… = 16 + 8 + 4 + 0 + 1

… = 29

(c)

13T₁₂ = 1×12² + 3×12¹ + 10×12⁰

… = 144 + 36 + 10

… = 190

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

-3/2 ±1/2 sqrt(5) = x

Step-by-step explanation:

f(x) = 2x^2 + 6x + 2

Set the function equal to 0

0 = 2x^2 + 6x + 2

Factor out 2

0 = 2(x^2 + 3x + 1)

Divide by 2

0 = (x^2 + 3x + 1)

Subtract 1 from each side

-1 = x^2 +3x

Complete the square by dividing the x coefficient by 2 and then squaring

(3/2)^2 = 9/4

-1 +9/4 = x^2 +3x+9/4

-4/4+9/4 = (x+3/2) ^2

5/4 = (x+3/2) ^2

Taking the square root of each side

± sqrt(5/4) = sqrt( (x+3/2) ^2)

±1/2 sqrt(5) =  (x+3/2)

Subtract 3/2 from each side

-3/2 ±1/2 sqrt(5) = x

Answer: To look up an answer: Locate the Item Number for the particular problem for which you want the answer. This is at the top of the screen as.

Step-by-step explanation:

Answer:

Original price = t = $24

Expression = t + 0.05t

—-

New price = t + 0.05t = 24 + (0.05*24) = $25.20

—-

Have a nice day!!

Answer:

$25.20

Step-by-step explanation:

Original price = t = $ 24

New price = 1.05*24

                 = 25.20

Just multiply 1.05 by 24

Answer:

C

Step-by-step explanation:

use Pythagorean theorem to get the missing side of the triangle as 12.

Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

The prove of the trig identity gives sin²θ + cos²θ = 1.

The proof of the trig identity is determined as follows;

Let's consider a right triangle with one acute angle θ.

Let the hypotenuse have length 1

Let the length of the adjacent side = cosθ

then, the opposite side length = sinθ

Apply Pythagorean theorem, to determine the hypotenuse side;

(sinθ)² + (cosθ)² = 1²

sin²θ + cos²θ = 1

Thus, we have proved the identity.

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

there is a 15/80 chance  she will pick a black pen

there is also a 65/80 chance she will pick a blue pen

Step-by-step explanation:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

45% of 15.2 is 6.84

Answer:

6.84

Step-by-step explanation:

15.2x0.45

Answer:

5.625 = 45/8 = 5 5/8

Step-by-step explanation:

Answer:

B (39)

Step-by-step explanation:

Multiply the Number of Packs of Dog Food by 39.

3 x 39 = 117

4 x 39 = 156

5 x 39 = 195

Answer:

C) P (X2 ≤ 8.2) = 0.96

Step-by-step explanation:

P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.

Answer:

P(χ2≥8.2)=0.04

Step-by-step explanation:

Just took the test. This was correct

Answer:

Area = 12a m²

Step-by-step explanation:

Given information,

→ Length = 4a m

→ Width = 3a m

Now we have to,

→ find the area of rectangular park.

Formula we use,

→ Area = L × W

Then the area of rectangle is,

→ L × W

→ 4a × 3a

→ (4 × 3)a

→ 12a m²

Therefore, the area is 12a m².

Answer: 9/20

Step-by-step explanation: 45% can be written as .45, which is 45100 in the non-reduced fractional form therefore This cannot be reduced any further.

According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite interior angles are another name for the remote interior angles. Where can I determine a triangle's outer angle? In a triangle, how can I determine the interior and outside angles?

Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.

Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each exterior angle. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.

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Answer: The axis of symmetry   = 1  

That's  a vertical line passing through 1 on the x-axis

Step-by-step explanation:  From standard form, ax² + bx + c

Use the values of a and b in the equation  x = -b/2a to find s, the axis of symmetry.

x = -(-6)/2(3)  

x = 6/6

x = 1

The required axis of the symmetry of the given parabola is x = 1.

Given that,
To determine the axis of symmetry of y = 3x² - 6x + 4.

A parabola is a cross-section cut out of the cone and represented by an equation.

Here,
The axis of symmetry of a parabola is given by -b/2a
Now. from the given parabolic equation y = 3x² - 6x + 4. we have a = 3 and b  = 6.
Substitute the value in the symmetry equation
Axis of symmetry, x = -(-6)/2(2)
x = 1

Thus, the required axis of the symmetry of the given parabola is x = 1.

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9514 1404 393

Answer:

  1. a = 4, b = 2√2

Step-by-step explanation:

The right triangle is isosceles, so b is the same length as the marked side:

  b = 2√2

The hypotenuse of an isosceles right triangle is √2 times the leg length, so ...

  a = (√2)(2√2) = 2·2 = 4

The missing sides are ...

  a = 4, b = 2√2

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = \( \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 \)

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

The value of the function f(x) = 3x^2 - 2x + 1 at x = -1, will be 6

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Algebraic expressions are expressions that are made up of variables and constants. Any value can be assigned to a variable. The value of an expression changes depending on the values assigned to the variables it includes. There are an unlimited number of points on a number line.

To evaluate the function f(x) = 3x^2 - 2x + 1 at x = -1,

we simply substitute -1 for x in the expression:

f(-1) = 3(-1)^2 - 2(-1) + 1

= 3(1) + 2 + 1

= 6

Therefore, f(-1) = 6.

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To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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Answer:

A.

Step-by-step explanation: