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Tatiana [17]
3 years ago
8

If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).​

Mathematics
2 answers:
ryzh [129]3 years ago
4 0

Answer:

g ( f ( x ) ) = ( x+ 3) ^2

Step-by-step explanation:

This is what I got. Sorry if it is wrong.

kaheart [24]3 years ago
3 0

\bf \begin{cases} f(x)=2x+3\\ g(x)=x^2+1 \end{cases}\qquad \qquad g(3)=(3)^2+1\implies g(3)=\boxed{10} \\\\\\ f(~~g(3)~~)\implies f\left( ~~\boxed{10}~~ \right)=2(10)+3\implies \stackrel{f(g(3))}{f(10)}=23

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The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of
Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}

The equation that the model represents is therefore;

  • The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

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8 0
1 year ago
The proof ABC ≅ DCB that is shown.
Schach [20]

The <em><u>correct answer</u></em> is:

AAS

Explanation:

AAS stands for "angle-angle-side."  This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.

In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with.  Throughout the proof, we find that ∠ABC ≅ ∠DCB.  We also have that CB is congruent to itself.  This is two angles and a side not included, so this is AAS.

4 0
3 years ago
Read 2 more answers
Jamie kept track of the total hours and minutes she worked this week at the local health food store.
ddd [48]

1 hour = 60 minutes.

Convert the minutes to decimals by diving by 60

30/60 = 0.5

2 hours and 30 minutes = 2.5 hours

45/60 = 0.75

5 hours 45 minutes = 5.75 hours

15/50 = 0.25

3 hours 15 minutes = 3.25 hours

Ow add all the hours:

2.5 + 5 + 5.75 + 3.25 = 16.5 hours

Answer: B. 16.50

7 0
2 years ago
Help please!!!<br> Can someone explain how to solve this please?
Greeley [361]

Answer:

12 the answer

Step-by-step explanation:

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3 years ago
Using y=mx+b find the slope for<br> 7) 8x + 3y = −9
malfutka [58]

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

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The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

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