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3 years ago

What is the equation for 5 units left and 3 units up from f(x)=x

Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

$f(x) = x$

Shifting the function 5 units left

$g(x) = f(x+5) => x+5\\g(x) = x+5$

Shifting the function upward 2 units

So,

$g(x) = (x+5)+3\\g(x) = x + 8$

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Keywords: Functions, shifting

Learn more about functions at:

#LearnwithBrainly

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Solve for x: x/-5+6≤2

Anon25 [30]

Answer:

x ≥ 20

Step-by-step explanation:

hope this helps!

7 0

3 years ago

Read 2 more answers

I cant wrap my head around this

vazorg [7]

Answer:

B is the answer

Step-by-step explanation:

16 times 1/2 is 8.

dilations do not change angles so the angle of A will remain 28 degrees.

7 0

3 years ago

The scores on a math test are normally distributed with a mean of 74 and a standard deviation of 8. The test scores range from 0

hram777 [196]

Answer:

The Estimate the number of students who took the scores between 82 and 98 = 16

Step-by-step explanation:

Explanation:-

Given data The scores on a math test are normally distributed with a mean μ = 74

standard deviation of Population

S.D (σ) = 8

Let 'x' be the random variable of Normal distribution

case(i):- when x = 82

$Z = \frac{x-mean}{S.D}$

$Z = \frac{82-74}{8} = 1$

case(ii):- when x = 98

$Z = \frac{x-mean}{S.D}$

$Z = \frac{98-74}{8} = 3$

The probability that test scores between 82 and 98.

P(82≤x≤98) = P(1≤z≤3)

= P(z≤3) - P(z≤1)

= 0.5+A(3)-(0.5+A(1))

= A(3) -A(1)

= 0.4986 - 0.3413

= 0.1573

Final answer:-

The Estimate the number of students who took the scores between 82 and 98

= 100 X 0.1573 = 15.73 ≅16

7 0

3 years ago

1 2/5 as a percent Thanks

allochka39001 [22]

im not completley positive about this answer but

140% if its a 1 and then 2/5 seperate but if its 12/5 its be 240%

6 0

3 years ago

Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ

Andreyy89

ANSWER

Component form:

$\binom{ - 16}{2}$

2. Magnitude

$2\sqrt{65}$

EXPLANATION

Given that P = (-5, 5) and Q = (-13, 6),

Vector PQ

$= \binom{ - 13}{6} - \binom{ - 5}{5}$

$= \binom{ - 13 + 5}{6 - 5}$

$= \binom{ - 8}{1}$

2 vector PQ

$= 2 \binom{ - 8}{1}$

$= \binom{ - 16}{2}$

This is the component form.

The magnitude is given by

$= \sqrt{ {x}^{2} + {y}^{2} }$

$= \sqrt{ {( - 16)}^{2} + {2}^{2} }$

$= \sqrt{256 + 4}$

$= \sqrt{260}$

$= 2\sqrt{65}$

8 0

3 years ago