f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answers
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
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Step-by-step explanation:
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Step-by-step explanation:
he sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?
x + (x + 6) = 60
x − (x + 6) = 60
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Answers
Answer:
x+(x+6)=60
Since the greater number is six more than the smaller number, the variable value will be of the smaller number. And since the bigger number is six more than the smaller number, it needs to be in parantheses as x plus six. But, since the value of both the numbers is sixty, the equation will finally become x+(x+6)=60
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Step-by-step explanation:
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Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3
Answers
Answer:
B and C
Step-by-step explanation:
the answer is B and C because
on the basis of option A
-2+6=4 (not equal to -8)
on the basis of option B
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on the basis of option C
6+-14=6-14=-8 (=-8)
on the basis of option D
11-3 =8 (not equal to -8)
on the basis of option E
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Step-by-step explanation:
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Answers
Answer:
No, The answer is 20. Remember area of triangle equals 1/2bh (or half of base and height multiplied.)
The area of triangle that has a base length of 10 inches and a height of 4 inches is 20 square inches.
What is area of a triangle?
The area of a triangle is one half the product of its base multiplied by height. Mathematically -
Area [Δ] = 1/2 x base x height
Given is a triangle (Δ) has a base length of 10 inches and a height of 4 inches.
We can write -
Base Length [B] = 10 inches
Height of triangle [H] = 4 inches
Area of triangle (Δ) = 1/2 x B x H
A(Δ) = 1/2 x B x H
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
9514 1404 393
Answer:
g = 1/6(w+40)
Step-by-step explanation:
The given equation is already solved for g. Nothing need be done.
g = 1/6(w+40)
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Photo given in the picture has dimensions as,
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Ended up getting the answer wrong because the other person this is the correct answer.
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Enjoy and Happy Holidays :)
The image of (2,8) after a reflection over the line y = x is (8, 2).
The given coordinate is (2, 8).
What is a reflection over the line y=x?Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.
Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).
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The yield in bushels from a grove of orange trees is given by Y = x(600 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?
Answers
Answer:
90000
Step-by-step explanation:
Y = x(600 - x)
Let's rearrange the equation so that we have
Y = x(-x + 600)
Y = -x² + 600
When you take a look at parabolas, we know that their maximum or minimum values are usually on the axis of symmetry. This axis of symmetry has an equation of
x = -b/2a,
In this question, the axis of symmetry is
x = -600 / -2
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This means that planting 300 trees will maximize your yield. If you substitute for x = 300 into the equation, the maximum yield will be
y = 300 (600 - 300)
y = 90000.
Answer: 300
Step-by-step explanation:
use the formula X=-b/2a
x=-600/-2
x=300