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3 years ago

If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

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A survey was conducted by an independent price checking company to check an advertiser's claim that it had lower prices than its

Mama L [17]

Answer:

a) critical values ≈ -3.182 and 3.182 shows that there is difference in average prices

b) H0 : μd = 0

Ha : μd ≠ 0

Step-by-step explanation:

a) Determine if there is any significant difference in the average prices

using ∝ = 0.05

and μ( advertiser ) - μ ( competitor ) = μd

test statistic ( t ) = -3.011

df = 3

hence the critical values ( two tailed test ) = -3.182 and 3.182. this shows that there is sufficient evidence to show that there is difference in the average prices

b) state the hypothesis

H0 : μd = 0 ( null )

Alternate hypothesis : Ha : μd ≠ 0

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3 years ago

Which is true of a geometric plane? A) one-dimensional B) two-dimensional C) three-dimensional D) no dimensions, only position

Sedbober [7]

Answer:

The correct option is B.

Step-by-step explanation:

A plane extends infinitely in two dimensions. It has no thickness.The plane has two dimensions: length and width. But since the plane extends infinitely,the length and width cannot be measured.

Lets take an example of a flat sheet of metal. Imagine a flat sheet of metal. Now make it infinitely large in both directions. This means that no matter how far you go, you never reach its edges. Now imagine that it is so thin that it actually has no thickness at all. In spite of this, it remains completely rigid and flat. This is the 'plane' in geometry.

6 0

3 years ago

◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

3 0

2 years ago

Read 2 more answers

Multiply using napier's rods 3x4565

svetlana [45]

Thats funny :)

Good luck :)

8 0

3 years ago

Please help 100 points! Will mark Brainliest. Thank You!

ziro4ka [17]

HERE'S HOW TO DO IT :)

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles.

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

(SEE EXAMPLE ATTACHED)

HERES WHAT WE KNOW ABOUT COMPOSITE FIGURES:

Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures

let me know if i can help more :)

6 0

3 years ago

Read 2 more answers