All categories

3 years ago

Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x).

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

For this case we have the following functions:

$f (x) = x + 7\\g (x) = x-4$

We must find the product of the functions:

$f (x) * g (x) = (x + 7) (x-4)$

We apply distributive property:

$f (x) * g (x) = x ^ 2-4x + 7x-28\\f (x) * g (x) = x ^ 2 + 3x-28$

Finally, the product of the functions is:

$x ^ 2 + 3x-28$

Answer:

$x ^ 2 + 3x-28$

You might be interested in

What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle $\theta$ that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

$v_x = -2\\v_y = -3$

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

$tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}$

However, since we are in the 3rd quadrant, the actual angle is:

$\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}$

So now we can find the cosine of the angle, which will be negative:

$cos \theta = cos(236.3^{\circ})=-0.555$

7 0

3 years ago

( 1 + 1 ) + ( 1 + 1 + 1) in standard form

Simora [160]

Answer:

if im correct the answer should be 5 x 10

Step-by-step explanation:

6 0

2 years ago

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

bazaltina [42]

The answer is 7 because f is a denomination

6 0

3 years ago

a pharmacist believes the proportion of prescriptions that are antibiotics is decreasing. the pharmacist would like to test the

Lunna [17]

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

What is the null hypothesis?

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis. The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population. The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test. The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.H₀ is a common way to represent it.

The alternative hypothesis is the assertion that is being compared against the null hypothesis. Two symbols are H₁ and Hₐ.

Calculation:

Here H₀: P=0.52

H₁: P<0.52

Test statistic, Z = -1.89

critical value = -1.65

Decision rule: If zZ< -1.65 we reject H₀ and vice-versa

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

Learn more about the null hypothesis here:

brainly.com/question/13776238

#SPJ4