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2 years ago

What transformation takes the graph of f(x)=2x+3 to the graph of g(x)=2x+4 ?

Mathematics

2 answers:

Zolol [24]2 years ago

6 0

The original function f(x) = 2x+3.

And the transformed function is g(x) = 2x+4.

We can see that if we add 1 into function f(x), we get

f(x) +1 or 2x+3+1 = 2x+4.

<h2>So, 1 is being added in original function f(x) and we get g function g(x) = 2x+4.</h2>

<em>According to rules of transformations, when we add some number k in the given function, it move k units up and if we subtract k from given function, it move k units down.</em>

<h3>Therefore, correct option is B option.</h3><h3>B. translation 1 unit up.</h3>

dangina [55]2 years ago

3 0

Answer:

Basically, the answer is B

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A fertilizer company manufactures 10-pound bags of fertilizer with a standard deviation of 0.24 pounds per bag. The bag weights

Ksju [112]

Answer:

the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

Step-by-step explanation:

Given the data in the question;

μ_x = 10 pound bags

standard deviation s_x = 0.24 pounds

sample size n = 4

The bag weights are normally distributed so;

p( x' less than 9.8 ) will be;

p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )

we know that;

μ_x' = μ_x = 10

and s_x' = s_x/√n = 0.24/√4

so; we substitute

p( z < ( (9.8 - 10) / (0.24/√4) )

p( z < -0.2 / 0.12 )

p( z < -1.67 )

{ From z-table }

⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05

Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

3 0

2 years ago

Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

cupoosta [38]

$g(x)=x-3 \ \ \ and\ \ \ h(x)=x^2+6 \\\\(h \circ g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10$

5 0

2 years ago

Read 2 more answers

The temperature in Celsius would be,

elena-14-01-66 [18.8K]

First derisive the equation for C

$\\ \sf\longmapsto F=\dfrac{9}{5}C+32$

$\\ \sf\longmapsto C+32=\dfrac{5}{9}F$

$\\ \sf\longmapsto C=\dfrac{5}{9}F-32$

F=101F

$\\ \sf\longmapsto C=\dfrac{5}{9}101-32$

$\\ \sf\longmapsto C=\dfrac{505}{9}-32$

$\\ \sf\longmapsto C=56.1-32$

$\\ \sf\longmapsto C=24.1°C$

8 0

2 years ago

Find the domain and range of f(x) = 2 square root of x-2

Neporo4naja [7]

$f(x)=2\sqrt{x-2}\\\\The\ domain:\\x-2\geq0\to x\geq2\\\boxed{x\in[2;\ \infty)}\\\\The\ range:\\\boxed{y\in[0;\ \infty)}$

$If\ f(x)=2\sqrt{x}-2,\ then\\\\The\ domain:\boxed{x\in[0;\ \infty)}\\\\The\ range:\boxed{y\in[-2;\ \infty)}$

5 0

2 years ago

If each side of a square grows 6 mm, the area of the square is multiplied by 16. How long are the sides of the original square

Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

3 0

2 years ago