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Artemon [7]
3 years ago
7

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f×g and state its domain

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= (4x - 2)(5x - 6) ← expand factors

= 20x² - 24x - 10x + 12 ← collect like terms

= 20x² - 34x + 12

This is a polynomial of degree 2 and is defined for all real values of x

domain : x ∈ R

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Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
rodikova [14]
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11

8 0
3 years ago
Could i get help? pleaseeee
My name is Ann [436]

Answer:

A for me beacause i understand quite

Step-by-step explanation:

Hope it helps good day

4 0
1 year ago
Dave works two jobs. He works at the grocery store making $12 per hour and works at the car wash making $15 per hour. If he work
vladimir2022 [97]

Answer:

11 hours

Step-by-step explanation:

let he works at first store x hours and at car wash y hours. Then

x+y=25

multiply by 4

4x+4y=100  ...(1)

12x+15y=333

divide by 3

4x+5y=111   ... (2)

(2)-(1) gives

y=111-100=11

8 0
3 years ago
In the figure shown to the right, two angle measurements are given. Determine the others.
creativ13 [48]

The figure is shown below

From the figure

Angle 150 degree and angle p forms angles on a straight

Since the sum of angles on a straight line equals 180 degrees

Hence

150^{\circ}+p=180^{\circ}

Solve for p in the equation

\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}

Hence, p = 30

From the figure

Angle p and angle q are vertically opposite angles

Since vertically opposite angles are equal then

p=q=30^{\circ}

Hence, q = 30

Applying the rule of angles on a straight line

This implies

q+w+60=180

Substitute q = 30 into the equation

30+w+60=180

Solve for w

\begin{gathered} w+90=180 \\ w=180-90 \\ w=90 \end{gathered}

Hence, w = 90

8 0
1 year ago
What is the translation for B’ (6,-5) B(-5,-2)
Elena L [17]

Answer:

-7

Step-by-step explanation:

5 0
3 years ago
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