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harkovskaia [24]
3 years ago
10

This is a tough one :/ If f(x) = -x + 7 and g(x) = radical of x– 3, what is (f º g)(4)

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

6

Step-by-step explanation:

To solve, first plug in 4 as your x value for your g(x) equation.

g(4)=\sqrt{4-3} \\g(4)=\sqrt{1} \\g(4)=1

Next, plug in the value of g(4) into your f(x) equation for x.

f(1)=-1+7\\f(1)=6

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The width is 32 inches

Step-by-step explanation:


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Question 9 - (3 marks available)
navik [9.2K]

Image of the triangle is attached

Answer:

24 cm

Step-by-step explanation:

If two triangles are similar, the corresponding sides must be in the same ratio.

From the diagram, the height of the triangle is 36cm.

But the height of triangle ABE = h,

To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.

Therefore.

Height of BCD = 36 - h.

Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:

\frac{b}{h} = \frac{b}{h}

Substituting figures, we have:

\frac{20}{h} = \frac{10}{36-h}

Cross multiplying, we have:

20(36-h) = 10 * h

720 - 20h = 10h

720 = 10h + 20h

720 = 30h

h = \frac{720}{30}

h = 24 cm

Therefore, the height of triangle ABE is 24cm

7 0
3 years ago
Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equati
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Find the products.please please please please please help me! I’m desperate!
Dmitry_Shevchenko [17]

Answers:

5) product is 35ax^2 - 42axy + 7y^2

6) product is -a^6b^2 - 8a^5b - 5a^4

7) product is 12x^5y + 6x^4y^2 + 21x^3y^3

8) product is 3x^3y^2 - 6x^3y + 3x^5y - 3x^4y

9) product is x^{3n} + 7x^{n+1} - 3x^n

=============================================

Explanation:

For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.

In problem 5, we multiply the outer 7a by the following terms inside like so

7a(5x^2-2xy+y^2-4xy)\\\\7a(5x^2-6xy+y^2)\\\\7a(5x^2)+7a(-6xy)+7a(y^2)\\\\35ax^2-42axy+7ay^2\\\\

The other problems will have similar steps.

--------

A useful rule to keep in mind is that a^b*a^c = a^{b+c}

For example, x^2*x^3 = x^{2+3} = x^5

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Answer:

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