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Misha Larkins [42]
4 years ago
10

If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

Mathematics
1 answer:
Elena-2011 [213]4 years ago
8 0

\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16

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Could someone pls send me an example of using the substitution method in algebra?
Elden [556K]

Answer:

in this method a variable is expressed in terms of another variable from one equation and it is substituted in remaining equation.

Step-by-step explanation:

solve:x+2y=9 and 3x-y=13.

x+ 2y=9…be the first equation

3x-y=13…be the second equation

from first equation

x=9-2y…be the third equation substituting value of x from third equation in second equation, we get

3(9-2y)-y=13

or, 27-6y-y=13

or, y=2

now,

substituting value of y in third equation, we get,

x=9-2×2

=9-4

=5

the required value of x and y are 5&2

8 0
3 years ago
WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7
Nadusha1986 [10]

Answer: 4x + 3 = 39

Step-by-step explanation:

Because you don't know how much each pizza costs, you can write it as x.

You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.

That added up should equal 39 because thats how much he spent.

8 0
2 years ago
Read 2 more answers
Can somone pls help me with this I have a C- in math and I really need help also a like show work on each one plsss
Lady bird [3.3K]

Answer:

1. \frac{3}{8}

2. \frac{1}{4}

3a. -\frac{1}{4}

3b. 3

3c. -\frac{4}{5}

4. m = \frac{y_1 - y_2}{x_1-x_2}\\

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

m = \frac{y_1 - y_2}{x_1-x_2}

m = \frac{3-2}{-2-2}

m = \frac{1}{-4}

m = -\frac{1}{4}

3b.

m = \frac{y_1 - y_2}{x_1-x_2}\\

m = \frac{-1 - 2}{-1-0}

m = \frac{-3}{-1}

m = 3

3c.

m = \frac{y_1 - y_2}{x_1-x_2}\\

m = \frac{1 - (-3)}{-1-4}\\

m = \frac{4}{-5}\\

m = -\frac{4}{5}

4.

m = \frac{y_1 - y_2}{x_1-x_2}\\

7 0
3 years ago
The original price for the shirt is $30.00. The shirt is on sale for 10% off. What is the sale price of the shirt?
Xelga [282]

Answer:

$3 off which is $27

Step-by-step explanation:

10% of 30 is 3 so you would subtract 30 - 3

and you get $27

8 0
2 years ago
Analyze the diagram below and complete the instructions that follow.
Mnenie [13.5K]

Answer:

  D.  157°

Step-by-step explanation:

∠EFB and ∠AFB form a linear pair, so are supplementary.

∠EFB = 180° - ∠AFB = 180° -23°

∠EFB = 157°

5 0
3 years ago
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