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3 years ago

I need help answering

Mathematics

1 answer:

jekas [21]3 years ago

6 0

Put the values of the variables in place of the variables in the expression, then do the arithmetic.

$8p+3q-18\\\\=8\left(\dfrac{1}{2}\right)+3(7)-18=\dfrac{8}{2}+21-18\\\\=4+21-18\\\\=25-18\\\\=\bf{7}$

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Simplify | (27x – 45) - (4x – 9). Write your answer in factored form. HELP MEEEEEEEE

oksian1 [2.3K]

Answer:

Step-by-step explanation:

27x - 45 - 4x + 9

23x - 36

7 0

3 years ago

Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2

kow [346]

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

If you raise e to the natural log, they cancel out and vice versa

Calculus

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$f(x)=e^{3lnx}$

Step 2: Rewrite

$f(x) = x^3$

Step 3: Take Derivative

Basic Power Rule: f'(x) = 3x³⁻¹
Simplify: f'(x) = 3x²

3 0

3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

ioda

Answer with explanation:

For any object having the velocity vector as

$\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}$

the magnitude of velocity is given by

$|v|=\sqrt{v_x^2+v_y^2+v_z^2}$

For car 1 the velocity vector is

$\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}$

Therefore

$|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units$

Similarly for car 2 we have

$\overrightarrow{v}_2=30\widehat{i}$

Therefore

$|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units$

Comparing both the values we find that car 1 has the greater speed.

7 0

3 years ago

Select all the correct answers. Function g is a transformation of the parent exponential function. Which statements are true abo

lesantik [10]

The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

The parent function i.e. exponential function is defined by:

y=f(x)=aˣ

From the graph given below,

1. The graph of the function g is 3 units above the graph of the parent exponential function. as the parent exponential function aˣ cuts the y-axis at (0,1) and the child transformed function cut at (0,4) for which g is 4-1=3 units above the parent function

2. The domain of the function is set of all the inputs for which function is defined. From the graph of function g, it is clear tha the domain of the function is (-∞ , ∞ ) as the domain of the parent exponential function is also (-∞ , ∞ ).

3. The y-intercept is the point at which function cut the y-axis. Graph of function g cut the y-axis at (0, 4). Therefore, Function g has the y-intercept at (0,4).

4. From the graph it is clear that Function g increases over the interval (-∞, 0) .

5. The range of the function is the output values of the function. From the graph, it is observed that the range of function g is (3, ∞). as its minimum value is 3 then the maximum value is ∞.

6. As, the graph of function g is drawn above the x-axis. Therefore, Function g lies completely on +ve y-axis, so function g is positive over the interval (-∞ , ∞ ).

Therefore The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

Learn more about the exponential function

here: brainly.com/question/2456547

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