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3 years ago

If n is the least of two consecutive odd integers, which of the following represents the sum of the two integers?

1 answer:

8 0

Let the first odd integer = n
∴ The second consecutive odd integer = n+2

∴ The sum of the two integers = (n) + (n+2)
= 2n + 2

 The correct choice is option (D)
 D) 2n + 2

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Help please 1. Describe the transformations necessary to transform the graph of

natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

$x^2\mapsto (x-1)^2$

The general transformation is

$f(x)\mapsto f(x+k)$

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

$(x-1)^2\mapsto 3(x-1)^2$

The general transformation is

$f(x)\mapsto kf(x)$

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

$3(x-1)^2\mapsto 3(x-1)^2+4$

The general transformation is

$f(x)\mapsto f(x)+k$

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of $f(x)=x^2$ and we:

Translate it 1 unit to the right
Stretch it vertically by a factor 3
Translate it 4 units up

(the order is important!)

to get the graph of $g(x)=3(x-1)^2+4$

4 0

3 years ago

Which of these expressions is equivalent to`-2(x-5)`?

Novay_Z [31]

Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any

Step-by-step explanation: thx for the points

8 0

3 years ago

Read 2 more answers

Use slopes to determine if the lines 4x−7y=9 and 7x+4y=5 are perpendicular.

KIM [24]

Answer:

Perpendicular.

Step-by-step explanation:

4x - 7y = 9 ---> 7y = 4x - 9 ---> y = 4/7 x - 9/7, slope= 4/7

7x + 4y = 5 ---> 4y = - 7x + 5 ---> y = - 7/4 x + 5/4, slope = - 7/4

lopes are negative-reciprocal , so these lines are perpendicular.

3 0

3 years ago

Name:

Elanso [62]

The sequences that would map the triangles so as to support both claims are explained below:

Transformation is a process in which the dimensions, size or orientation of a given shape is adjusted. The types are: translation, reflection, rotation and dilation.

Thus;

A. The sequence of transformations that will support Tim's thinking are:

i. Reflection of triangle A about the y-axis.

ii. Reflection of the triangle the second time now about x-axis.

iii. Translation of the triangle two units to the right (i.e towards the x-axis)

These steps would map triangle A unto triangle B supporting Tim's claim.

B. The sequence of transformations that will support Jennifer's claim are:

i. First rotate triangle A by $180^{o}$ using the origin of the axis as the reference point.

ii. Then translate triangle A two units to the right (i.e towards the x-axis).

Therefore, these steps will map triangle A unto B to support Jennifer's claim.

Visit: brainly.com/question/21388875

8 0

2 years ago

A soccer team lost 30% of their games. If they played 20 games, how many did they win

lilavasa [31]

Answer:

Step-by-step explanation:

100% - 30%= 70% (the times they've won)

0.7x20=14

8 0

3 years ago