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3 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Mathematics

2 answers:

blagie [28]3 years ago

4 0

Answer:

k=4

Step-by-step explanation:

I took the test

Anton [14]3 years ago

3 0

Answer:

Given the graph $f(x) = \frac{1}{3}x -2$ and $g(x) = \frac{1}{3}x + 3$

We have to find the value of k;

Since, g(x) = f(x) +k

$\frac{1}{3}x+3 = \frac{1}{3}x-2 +k$

Subtract $\frac{1}{3}x$ from both sides we get;

$3 = -2 +k$

Add 2 to both sides we get;

$3+2 = -2 +k +2$

Simplify:

$5 = k$

k = 5

Therefore, the value of k = 5

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Write the quadratic function in vertex form, then identify the vertex

34kurt

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

= (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

8 0

3 years ago

Manuel has pennies and nickels with a total value of $1.15. The number of nickels is 43 less than the number of pennies. How man

Veseljchak [2.6K]

Answer:

45 Pennies

14 Nickels

Step-by-step explanation:

1.15 - .43 = .72

72 % 5 = 14.? - 14 nickels

.2 left - 2 pennies

7 0

3 years ago

Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 produ

Allisa [31]

Answer:

Probability of stopping the machine when $X < 9$ is 0.0002

Probability of stopping the machine when $X < 10$ is 0.0013

Probability of stopping the machine when $X < 11$ is 0.0082

Probability of stopping the machine when $X < 12$ is 0.0399

Step-by-step explanation:

There is a random binomial variable $X$ that represents the number of units come off the line within product specifications in a review of $n$ Bernoulli-type trials with probability of success $0.91$ . Therefore, the model is ${15 \choose x} (0.91) ^ {x} (0.09) ^ {(15-x)}$ . So: