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4 years ago

F(x) = 7x g(x) = 7x + 6 Which statement about f(x) and its translation, g(x), is true?

Mathematics

2 answers:

JulijaS [17]4 years ago

8 0

Answer:

f(x) is shifted left by $\frac{6}{7}$ units on x-axis.

Step-by-step explanation:

The functions f(x) = 7x g(x) = 7x + 6 have been given in the question.

g(x) is translation of f(x) we have find the translation done.

(1) Since both are linear functions having same slope so lines represented byu functions are parallel.

(2) f(x) passes through origin ( 0,0 )

(3) g(x) touches x-axis at y = 0

or 0 =7x + 6 ⇒ x = -6/7

therefore, f(x) = 7x is the parent function which passes through origin has been shifted left by ( $\frac{6}{7}$ ) units on x-axis.

Afina-wow [57]4 years ago

4 0

The graph of the function g(x) is the same as the graph of the function f(x) after a translation up of 7 units.
The general rule is the following:
Suppose given a function f(x) and another function g(x) defined as:
g(x)=f(x)+a, wherein a is a constant. Then the graph of g is the translation up of "a" unit of the graph of f.

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If X = 9 units, Y = 5 units, Z = 21 units, and h = 9 units, what is the surface area of the triangular prism shown above?

AfilCa [17]

Answer:

Surface area of triangular prism = 528

Step-by-step explanation:

Surface area of triangular prism = (Base x Height) + 2 (length x side) + (length x base)

SA = bh + 2Ls + Lb

Putting given values : b = Y = 5 , h = 9 , s = x = 9 , L = z = 21

(5 x 9) + (2 x 21 x 9) + (21 x 5)

= 45 + 378 + 105

528

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3 years ago

Someone please solve question b please with working really stuck much appreciated!

Lapatulllka [165]

Answer:

a) $t=\sqrt{\frac{d}{4.9}}$

b) $t=0.25 s$

Step-by-step explanation:

a) We have the following equation:

$t=\sqrt{\frac{2d}{9.8}}$ (1)

Where $t$ is the time is seconds, $d$ is the distance in meters and $9.8 m/s^{2}$ is the acceleration due gravity

If we divide numerator and denominator inside the square root by 2:

$t=\sqrt{\frac{2d/2}{9.8/2}}$

We will have:

$t=\sqrt{\frac{d}{4.9}}$

Hence:

$?=4.9$

b) Using the same equation (1) with thw following data:

$d=32 cm \frac{1 m}{100 cm}=0.32 m$

$t=\sqrt{\frac{2(0.32 m)}{9.8 m/s^{2}}}$

We will have the reaction time:

$t=0.25 s$

3 0

3 years ago

Please help thank you.

Mnenie [13.5K]

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

$x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20} \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}$

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

7 0

3 years ago

Find the equation of the line <br> Y= x+ <br> Use exact numbers

kotykmax [81]

Answer:

y=-1/4x-6

Step-by-step explanation:

The problem wants the form y=mx+b where m is the slope and b is the y-intercept.

The y-intercept in this case is -6 (where the line intercepts the y-axis).

We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.

-6-(-7)/0-4=-6+7/-4=1/-4=-1/4

So the equation of the line is y=-1/4x-6

5 0

3 years ago

Evaluate the exponential function ƒ(x) = (1/2)^x

kolezko [41]

For this case we have the following exponential function:
$f(x) = (\frac{1}{2})^x$
Evaluating the function for x = -1 we have:
$f(x)=(\frac{1}{2})^{-1}$
By power properties we can rewrite the function.
We have then:
$f(x)= \frac{1}{(\frac{1}{2})^1}$
$f(x)= \frac{1}{\frac{1}{2}}$
$f(x) = 2$
Answer:
The value that completes the table when x = -1 is:
$f(x) = 2$
D. 2

3 0

3 years ago

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