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Nataliya [291]
3 years ago
5

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

We get \mathbf{(f-g)(x)= -x^2-3x-8}

Step-by-step explanation:

We are given:

f(x) = -3x - 3\\ g(x) = x^2 + 5

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8

So, We get \mathbf{(f-g)(x)= -x^2-3x-8}

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Mel drives a bus 39 weeks in a year.
zlopas [31]

Answer:

11,622

Step-by-step explanation:

39 × 298 = 11,622

Have a good day!

7 0
3 years ago
Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step
vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

F.

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

G.

12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

H.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

J.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0
3 years ago
Factor completely 5b^2-11b+6
vekshin1

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

3 0
3 years ago
Find the surface area of a sphere with a volume of 36π in3.
swat32
First use known volume to solve for radius:
V=\frac{4}{3}\pi r^{3}
r=\sqrt[3]{\frac{3V}{4\pi}}
r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}
r=\sqrt[3]{27}
r=3

Then use the radius to get the surface area:
A_{surf}=4 \pi r^{2}
A_{surf}=4 \pi 3^{2}
A_{surf}=4 \pi 9
A_{surf}=36\pi\approx113.09
6 0
3 years ago
you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest o
disa [49]

Answer:

  26%

Step-by-step explanation:

Your 36 monthly payments will total ...

  36 × $205.10 = $7383.60

$5860 of that is the amount you borrowed. The remainder is the interest you pay:

  $7383.60 -5860 = $1,523.60

As a percentage of the original loan amount this is ...

  $1523.60/$5860 × 100% = 26%

You pay back 26% of the original loan amount in interest.

3 0
3 years ago
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