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3 years ago

Please answer quickly thanks :) good morning btw

Mathematics

1 answer:

Alisiya [41]3 years ago

8 0

1. 1/9

2. 0

3. -9

4. -1

Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Zigmanuir [339]

Answer:

Shift 4 units down: $g(x) = 2x - 10$

Stretching f(x) by 4 : $g(x) =8x - 24$

Shift 4 units left: $g(x) = 2x - 14$

Compress by 1/4 units : $g(x) = 8x - 6$

Step-by-step explanation:

Given

$f(x) = 2x - 6$

Required

Match the transformations (See attachment)

Shift 4 units down

Shifting down a function is represented as:

$g(x) = f(x) - b$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x) - b$

$g(x) = 2x - 6 - 4$

$g(x) = 2x - 10$

Stretching f(x) by 4

Stretching a function by some units is represented as:

$g(x) =b.f(x)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =b.f(x)$

$g(x) =4 * (2x - 6)$

$g(x) =8x - 24$

Shift 4 units left

Shifting a function to the left is represented as:

$g(x) = f(x - b)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x - b)$

$g(x) = f(x-4)$

Calculating f(x - 4)

$f(x) = 2x - 6$

$f(x - 4) = 2(x - 4) - 6$

$f(x - 4) = 2x - 8 - 6$

$f(x - 4) = 2x - 14$

Hence:

$g(x) = 2x - 14$

Compress by 1/4 units

This means that the function is stretched by $1/\frac{1}{4}$

Compressing a function is represented as:

$g(x) =f(bx)$

In this case:

$b = 1/\frac{1}{4}$

$b = 1 * \frac{4}{1}$

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =f(bx)$

$g(x) =f(4x)$

Calculating f(4x)

$f(4x) = 2(4x) - 6$

$f(4x) = 8x - 6$

Hence:

$g(x) = 8x - 6$

7 0

3 years ago

How many fourths are in 7/8

Nutka1998 [239]

$\dfrac{7}{8} \div \dfrac{1}{4}=\dfrac{7}{8}\cdot4=\dfrac{7}{2}=3.5$

5 0

3 years ago

How many ways are there to elect a president, vice-president, and a treasurer from a club of 8 students?

Klio2033 [76]

First the number of ways of selecting 3 students out of 8 is 8*7*6/(3*2*1)=56.
There are 6 ways of arranging the officers, so the total number of ways is 6*56=336

7 0

3 years ago

Read 2 more answers

If the discriminat of a quadratic equation is 4 which statement describes the roots

Alex Ar [27]

Answer: using the discriminant to find the number of solutions to a quadratic equation b^2-4ac. positive discriminant indicates that the quadratic has two distinct real number solutions. The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

can i have the answer choices

4 0

3 years ago

For questions 1- 3 find the exact sum or difference.

7nadin3 [17]

D, Because 7/15 + 9/15 is 16/15 + 4/15 =20/15 which equals 1 5/15 which turns into 1 1/3
A, 1/21 + 2/21 = 3/21 and that equals 1/7

C, 3/14+3/12 turns into 3/14+5/14= 10/14 - 8/14= 2/14=1/7

6 0

3 years ago