All categories

3 years ago

How do you solve this do i need to plpug in the formula

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

Answer:

B. -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

1/2x +1 = √(x +2)

Squaring both sides, we get ...

1/4x² +x + 1 = x +2

1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

(x -2)(x +2) = 0 . . . . factor the difference of squares

x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

(ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

y = mx + b . . . . . line with slope m and y-intercept b

You might be interested in

I need to know number one

vlada-n [284]

I hope this helps you

6 0

4 years ago

If sam has 20 watermelons and he eats 14 how many does he have left?

JulijaS [17]

Answer:

6 duh!

you can do this by yourself lol

7 0

3 years ago

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?

USPshnik [31]

<h3>A sequence is defined by the recursive function then f(1) is 81</h3>

Solution:

Given that,

A sequence is defined by the recursive function:

$f(n+1) = \frac{1}{3} \times f(n)$ ------ eqn 1

Given that,

$f(3) = 9$

Substitute n = 2 in eqn 1

$f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27$

Substitute n = 1 in eqn 1

$f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81$

Thus f(1) is 81

4 0

3 years ago

Escribe la expresión para "El producto de 5 y z".

bekas [8.4K]

Answer:

5yz

Step-by-step explanation:

You multiply 5 by y and z

8 0

4 years ago

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-br

Ksju [112]

The question is incomplete. The complete question is :

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A B C and D. A sample of 900 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 201 said they usually consume Brand A, 224 consume Brand B, 299 consume Brand C, and 176 consume Brand D. Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use alpha = 0.025. Find the value of the test statistic x^2. x^2 = the tolerance is +/-2% Using alpha = 0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution from the hypothesized one.

Solution :

A B C D Total

$o_i$ 201 224 299 176 900