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nasty-shy [4]
3 years ago
14

Asiandoll

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

Given h(x) = 2x- 5 and t(x) = 6x + 4

PART(A)

h(x) + t(x) is simply the sum of two functions so let's add the expression given for hx and tx

h(x) + t(x) = 2x -5 + 6x + 4

= 8x -1 Answer

PART (B)

( h. t)(x) is simply the product of two functions :

(2x-5)( 6x+4) = 2x* 6x + 2x*4 -5* 6x -5*4

= 12x^2 + 8x -30x -20

= 12x^2 -22x -20 Answer

PART (C)

When it is h( tx) it is composite function where tx is the inner function in the function hx

we rewrite the function hx by replacing x in it with tx = 6x+4

h (x)= 2x - 5

on left side x is replaced with t(x) and on right side we replace x with 6x+4

h( tx)= 2( 6x +4) - 5

h(tx) = 12 x + 2*4 - 5

h( tx) + 12x + 8 - 5

h( tx) = 12x + 3

Answer 12x +3

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Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ... Write a recursive definition.
Amiraneli [1.4K]

The first term is 8, so a_{1} = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: a_{n} = 3 + a_{n-1} which says "to get the nth term, add 3 to the term just before the nth term"

Based on what you posted for your answer choices, the final answer is likely choice C. However it seems some weird typo happened.

8 0
3 years ago
Which graph shows the solution to the inequality -x + 2 > 1
Darya [45]
-x+2 > 1
-x+2+x > 1+x .... add x to both sides
2 > 1+x
x+1 < 2
x+1-1 < 2-1 ... subtract 1 from both sides
x < 1

After solving for x, we get x < 1

To graph this, plot an open circle at 1 on the number line and shade to the left of this value. The open circle indicates that 1 is not part of the solution set.

If your teacher requires you to graph this on an xy grid, then draw a vertical line through 1 on the x axis. Make this vertical line a dashed line. Then shade the entire region to the left of this dashed line. Any point in this shaded region will have an x coordinate that is less than 1. The dashed line acts like the open circle. The dashed line tells the reader "any point on this dashed line is not part of the solution set"
8 0
3 years ago
6x+2y=8 slope intercept form
77julia77 [94]

Answer:

Step-by-step explanation:

Mark as brainliest

4 0
3 years ago
3. Solve the inequality –2(z + 5) + 20 &gt; 6.
12345 [234]

\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-2(z+5)+20>6

We have to solve the given inequality

-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14

Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

\left(-2\left(z+5\right)\right)\left(-1\right)

<em><u>Thus the solution to inequality is:</u></em>

-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

4 0
3 years ago
(08.04)The following data show the scores of some students in a competition:
mina [271]

Answer:

A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 24 on the number line. A line in the box is at 23 The whiskers end at 12 and 28. explanation:

3 0
2 years ago
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