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IRINA_888 [86]
3 years ago
13

In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer: B. down

Step-by-step explanation:

Translation rules:

For a function h(x):

  1. h(x+c) is a left-shift by c units.
  2. h(x-c) is a right-shift by c units.
  3. h(x)+c is a up-shift by c units.
  4. h(x)-c is a down-shift by c units.

Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".

That means , f(x) is shifted 4 units down to become g(x).

So, correct option : B. down

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PLEASE HELP STAT WILL MARK BRAINLIEST.
Marina CMI [18]

Answer:

19.5

Step-by-step explanation:

78 divided by 4

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3 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Quincy and his mo
Vikentia [17]

Step-by-step explanation:

rc = planted rows of carrots

rt = planted rows of tomatoes

h = number of hours

rc = 4h + 1 (starting with 1 already finished row there will be 4 additional rows every hour)

rt = 3h + 8 (staying with 8 already finished rows there will be 3 additional rows every hour).

when will they have planned the same number of rows ?

when rc = rt, of course.

so,

4h + 1 = 3h + 8

h = 7

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after 7 hours Quincy and his mom will each have planted 29 rows of vegetables.

8 0
3 years ago
What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6
RoseWind [281]

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}

For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

5 0
3 years ago
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Firlakuza [10]

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6 0
2 years ago
100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!
Lelechka [254]

Answer:

Expected value is -3

You should not play

Step-by-step explanation:

five are red, five are green, 10 yellow

P(red) = red/total = 5/20 = 1/4

P(green) = green/total = 5/20 = 1/4

P(yellow) = yellow/total =10/20 = 1/2

Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play

                             =18/4 + 10/4 - 10

                            =28/4 -10

                             =7-10

                             = -3

You should not play

5 0
3 years ago
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