Which is a possible turning point for the continuous
function f(x)?
O (-2,0)
O (0, -2)
O (2-1)
O (4,0)

Answer:

x=7

x<7

Step-by-step explanation:

Answer:

Area of the frame not covered with photo is equal to 129 square inches

Step-by-step explanation:

Given: Image of a frame

To find: Area of the frame not covered by the picture

Solution:

Area of rectangle = length of the rectangle × breadth of rectangle

Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches

Area of the frame covered with photo = 18 × 12 = 216 square inches

Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches

Answer:

[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]

Step-by-step explanation:

The system would be:

[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]

And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)

Answer:

square root of 3

Step-by-step explanation:

Use calculator

Answer:

W

Step-by-step explanation:

It is point W because W is where the line crosses the y-axis.

Answer: k = 75

Step-by-step explanation:

                360

                  ∧

             36   10

              ∧     ∧

           6  6   2  5

          ∧    ∧

        2 3  2 3

Prime factorization of 360 is: 2³ · 3² · 5

Since we want a perfect cube, every number must be to the power of 3.

That means we need  a 3 and 2 more 5s  to make a cube

k = 3 × 5 × 5

  = 75

Answer:

k = 75

Step-by-step explanation:

Factorize 360

360 = 36 * 10

      = 2 * 2 * 3 * 3 * 2 * 5

As 360k is cube number, k = 3 * 5 * 5

k = 75

360k = 360 * 75 = 27000 is a perfect cube

Answer:

x = 24°

Step-by-step explanation:

Lines JH and EG are the parallel lines and HF is a transverse.

∠JHF ≅ ∠HFE [Interior alternate angles]

m∠JHF = 2x

Since, m∠JHF = m∠JHG + m∠FHG

2x = m∠JHG + x

m∠JHG = 2x - x = x

Since m∠JHI + m∠JHG = 180° [Supplementary angles]

156° + m∠JHG = 180°

m∠JHG = 180 - 156

m∠JHG = 24°

x = 24°

Therefore, x = 24° will be the answer.

Answer:

True

Step-by-step explanation:

Answer:

a,b

Step-by-step explanation:

Answer:

one halfk + 5

Step-by-step explanation:

The expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.

It is defined as the combination of constants and variables with mathematical operators.

A linear equation can be defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jonah earned $5 more than half of Karen's salary, k

Let Jonah's salary is J

J = 5 + (1/2)k

Or

= (1/2)k + 5

The above expression represents Jonah's earnings and the expression is a linear expression.

Thus, the expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.

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Interest earned is $ 8.75

Total amount of money earned=708.75

Please see the attached picture for full solution

Hope it helps..

Good luck on your assignment

Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

Answer:

1.73

Step-by-step explanation:

Answer: [tex]f(2x)=8x^2-1[/tex]

Step-by-step explanation:

All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.

[tex]f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\[/tex]

First divide $20.42 by 10 to find the cost of 1 pound/16 ounce turkey.

Dividing, this gives us 2.042.

Now, to find the cost of a 21-pound turkey, we multiply

the cost of 1 turkey by 21 to get 42.882.

So a 21-pound turkey is $42.882.

Answer:

in order to right to left

Step-by-step explanation:

4th

3rd

2nd

1st

The required functions are obtained as f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

The inverse of a function y = f(x) is defined as a function having range as the domain of the function f(x) and domain as the range. Mathematically it can be written as f⁻¹(y) = x which implies that f⁻¹(f(x)) = x.

The given problem can be solved as follows,

(a) f⁻¹(x) = 5x

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 5f(x)

=> x = 5f(x)

=> f(x) = x/5

(b) f⁻¹(x) = x³/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x)³/2

=> x = f(x)³/2

=> f(x) = ∛(2x)

(c) f⁻¹(x) = x + 10

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = f(x) + 10

=> x = f(x) + 10

=> f(x) = x - 10

(d)  f⁻¹(x) = 3( x + 17)/2

Substitute x = f(x) to obtain,

f⁻¹(f(x)) = 3( f(x) + 17)/2

=> 2x = 3( f(x) + 17)

=> 2x/3 = f(x) + 17

=> f(x) = 2x/3 - 17

Hence, the functions for the given inverse functions are  f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.

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Answer:

D.2730

Step-by-step explanation:

15x14x13=2730

Answer:

h(2x - 3) = 4x - 5

Step-by-step explanation:

If h(x) = 2x + 1

h(2x - 3) = 2(2x - 3) + 1 = 4x - 5

Answer:

50

Step-by-step explanation:

Theoretically, there's a 50/50 chance of each happening, no matter how many times it's flipped.

Answer:

y = 8/5

Step-by-step explanation:

y /2 = 4/5

Multiply each side by 2

y/2 * 2 = 4/5 *2

y = 8/5

Answer:

D: It reduces the cost of your health services and treatments.

Step-by-step explanation:

Answer:

[tex]1/3,[/tex]  [tex]3/8,[/tex]  [tex]2/5,[/tex]  [tex]3/7[/tex]

Step-by-step explanation:

[tex]3/7 \approx 0.42857142857[/tex]

[tex]1/3 \approx 0.33333333333[/tex]

[tex]2/5 = 0.4[/tex]

[tex]3/8 = 0.375[/tex]

Answer:

1/3,3/8,2/5,3/7

Step-by-step explanation:

Answer:

2x^2+x=3​

Step-by-step explanation:

2x^2-2x+3x-3=0

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

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

x=-3/2

x=1

Answer: -26

Step-by-step explanation:

2(n - 4)= 3(n + 6)

2n -8 = 3n + 18  

     +8          +8

2n = 3n + 26

-3       -3

-1n = 26

n= -26

Hello I think the answer would be 7

An angle bisector, bisects an angle into two equal small angles

14 divided by 2 is 7

Hope this helps :)

The measure of each new angle will be 7°.

Since we are given the information that the original angle had a measure of 14 degrees, then when the angle is bisected, forming two new angles, we have to divide the original angle by 2. This will be:

= 14°/2

= 7°

Therefore, the measure of each new angle will be 7°.

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ok so to find the range it is the biggest subtracted from the smallest so it would be

8.6- -8.2= 16.8

I worked it out to be 16.8 hope this helps

Answer:

5b - 5a

Step-by-step explanation:

b(5 - a) = 5b - ab

- a(b - 5) = - ab + 5a

Subtracting gives

5b - ab - (- ab + 5a) ← distribute parenthesis by - 1

= 5b - ab + ab - 5a ← collect like terms

= 5b - 5a

Answer:

right isosceles I'm pretty sure

The solution is Option D.

The triangle is a right scalene triangle

A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

The measures of the sides of the triangles are 3.4 cm , 4 cm and 5.2 cm

The measures of angles of triangle are 40°, 50°, and 90°

Since the triangle is having all its length and sides different , it is a scalene triangle

Now , For a right angle triangle

hypotenuse² = base² + height²

( 5.2 )² = ( 3.4 )² + ( 4 )²

( 5.2 )² = 11.56 + 16

( 5.2 )² = 27.56

Hence , the triangle is a right scalene triangle

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Answer:

780cm cubed

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

Shifting f(x) to the right 3 units is accomplished by replacing x with x-3:

  g(x) = f(x-3)

  g(x) = (x -3)^2 +5(x -3) -1 . . . . matches choice D