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Andrews [41]
2 years ago
7

Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find

Mathematics
1 answer:
gregori [183]2 years ago
6 0

Answer:

(f-g)(x)=x^2-4x-21

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-3x-28\text{ and } g(x)=x-7

And we want to find:

(f-g)(x)

This is equivalent to:

=f(x)-g(x)

Substitute:

=(x^2-3x-28)-(x-7)

Distribute:

=x^2-3x-28-x+7

Rearrange:

=(x^2)+(-3x-x)+(-28+7)

Hence:

(f-g)(x)=x^2-4x-21

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. If they set up their camera 322 meters from the base of the mountain and the mountain is 597 meters high, what angle should he
Andru [333]

Answer:

the angle required for them to point their  camera to the horizontal should be at 61.66°

Step-by-step explanation:

Given that the base of the camera is 322 meters from the horizontal and the height is 597 meters.

We can use the tangent of the trigonometric equation.

tan θ = opposite / adjacent

tan θ = 597/322

tan θ = 1.854

θ = tan⁻¹ (1.854)

θ = 61.66°

Hence, the angle required for them to point their  camera to the horizontal should be at 61.66°

3 0
3 years ago
Read 2 more answers
What is an easy way to add a subtract rationals?
Nadya [2.5K]
If the two rational expressions that you want to add or subtract have the same denominator you just add/subtract the numerators which each other. When the denominators are not the same in all expressions that you want to add or subtract as in the example below you have to find a common denominator.
8 0
3 years ago
Combine like terms to simplify the following expression: 12x + 4y – 3x + 2 – 8y2 + 32
sesenic [268]

Answer: The answer is 9x-8y²+4y+34

Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32

1.  combine like terms so- combine 12x-3x= 89x

2. look for other like terms- 2+32= 34

3. since 8y^2 and 4y are not the same you can combine them

4. put them all together- 9x-8y^2+4y+3

That's you answer. Hope this helped

6 0
2 years ago
Read 2 more answers
Can someone help me please
Dimas [21]

Answer:

  g(x)=-x^2-8x-22

Step-by-step explanation:

Perform the multiplication and addition:

  g(x)=-(x+4)^2-6=-(x^2+8x+16)-6=-x^2-8x-16-6\\\\g(x)=-x^2-8x-22

_____

<em>Comment on the squaring</em>

There are several ways you can find the square (x+4)².

  1. Use your knowledge that (x+a)² = x²+2ax+a².
  2. Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
  3. Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)

__

* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.

5 0
3 years ago
I don't know how to do this question.
sergij07 [2.7K]
The perimeter is the measure around the shape, so just add all the sides together-
6+5x+x+2
6x+8
Since this is a right triangle, you multiply the legs (6 and x+2) and divide by 2
6(x+2)
6x+12
/2
3x+6
8 0
3 years ago
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