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Marta_Voda [28]
3 years ago
9

HELP !!!!! ASAP 4 ENDGENUITY Let the graph of g be a translation 5 units to the right followed by a translation 7 units down of

the graph of f(x) = ∣x∣. Write g(x).
Mathematics
1 answer:
Kruka [31]3 years ago
6 0

A translation of h units upwards and q units to the right is represented by the transformation

(x,y)\rightarrow(x-q,y-h)

So, to translate 5 right and 7 down, we need

(x,y)\rightarrow(x-5,y+7)

Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):

y+7=|x-5|\\y=|x-5| - 7

The answer is

\boxed{g(x) = |x-5|-7}

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Consider a line whose slope is 6 and which passes through the point (8.–2).
Zolol [24]

Answer:

y=6(x-8)-2\qquad\text{point-slope form}

y=6x-50\qquad\text{slope-intercept form}

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

y=m(x-xo)+yo

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

y=mx+b

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

\boxed{y=6(x-8)-2\qquad\text{point-slope form}}

To find the slope-intercept form, we operate the above equation:

y=6x-48-2

\boxed{y=6x-50\qquad\text{slope-intercept form}}

3 0
4 years ago
What is the total area, in square meters, of the shaded sections of the trapezoid below?
max2010maxim [7]

Answer:

84.5

Step-by-step explanation:

(9.9 × 10) ÷ 2= 49.5 (7×10)÷2 = 35

35+49.5 = 84.5

5 0
3 years ago
Anil wants to multiply 5, 6, and 3. Which expression could Anil write in the box to
matrenka [14]

Answer:

5x18

Step-by-step explanation:

5x6x3 and 5x18 equal 90

6 0
3 years ago
Read 2 more answers
Two times a number plus 3 equals one half of the number plus 30. What is the number please?
Zanzabum

Answer:

Step-by-step explanation:

2*x + 3 = 1/2x + 30             Subtract 3 from both sides

<u>       - 3                -3</u>

2x = 1/2x + 27                     Subtract 1/2 x from both sides

<u>1/2 x  -1/2 x</u>

1 1/2 x = 27                         change 1 1/2 to 3/2

3/2 x = 27                           Multiply by 2/3

2/3 * 3/2x = 27 * 2/3

x = 18

7 0
3 years ago
How can I Factor X^2+x-2
AlekseyPX

The factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).

<h3>What is the factored form of the given expression?</h3>

Given the expression;

x² + x - 2

Consider the standard form ax² + bx + c compared to the given expression;

  • a = 1
  • b = 1
  • c = -2

Now, we find a pair of integers whose product gives the value of c which is -2 and whose sum gives the value of b which is 1.

The integers are -1 and +2.

Check

-1 × 2 = -2

-1 + 2 = 1

Now, we write the factored form using these integers.

( x - 1 )( x + 2 )

Therefore, the factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).

Learn more about factorization here: brainly.com/question/3658321

#SPJ1

5 0
2 years ago
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