Write an equation of the form y=mx for the pairs (0,0) and (1,4)

Answers

Answer 1

Answer: (0,0)(1,4)
slope = (4 - 0) / (1 - 0) = 4/1 = 4

y = mx + b
slope(m) = 4
(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 4(1) + b
4 = 4 + b
4 - 4 = b
0 = b

ur equation is : y = 4x + 0 or just y = 4x

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The question and instructions are in the picuture

Answers

Make sure to add the picture.

Answer:

Step-by-step explanation:

Compare the functions shown below:f(x) = x3 + 2x2 − 4x − 3
g(x)

polynomial graph with x intercepts at negative 2, negative 1, 1, 3, y intercept at 6
h(x)

trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
Over the interval x = 0 to x = 2π

Which function has the most x-intercepts?

Answers

The function f(x) = x^3 + 2x^2 - 4x - 3 is a polynomial function of degree 3 and hence will have three solutions and hence 3 x-intercepts. The function g(x) has x-intercepts at x = -2, x = -1, x = 1 and x = 3. Hence function g(x) has 4 x-intercepts. The function h(x) has x-intercepts at points (pi over 2, 0) and (3 pi over 2, 0). Hence function h(x) has 2 x-intercepts. Therefore, the function with the most x-intercepts is function g(x) with 4 x-intercepts.

f(x) has at most 3 x-intercepts and g(x) has 4, so g(x) has more x-intercepts.

Which function has more x-intercepts?

Remember that for a polynomial p(x) of degree N, the maximum number of x-intercepts that the polynomial can have is N.

In this case, the functions are:

$f(x) = x^3 + 2x^2 - 4x - 3$

So the degree of f(x) is 3, so it has at maximum 3 x-intercepts.

The other function g(x) has the x-intercepts:

x = -2, x = -1, x = 1, x = 3

So it has 4 x-intercepts.

Then we can conclude that g(x) has more x-intercepts.

If you want to learn more about polynomials:

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Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?

Answers

three 64 oz cartons = 3 * 64 = 192 oz
three 48 oz cans = 3 * 48 = 144 oz
192 + 144 = 336 oz <== total juice

Answer: 336 oz

Step-by-step explanation: three 64 oz cartons = 3 * 64 = 192 oz

three 48 oz cans = 3 * 48 = 144 oz

192 + 144 = 336 oz <== total juice

Find the Inverse of f(x) = 3x -18

Answers

Answer:

y = 1/3x+6

Step-by-step explanation:

Step 1

- Rewrite f(x) as y

f(x) = 3x-18 => y = 3x-18

Step 2

- Swap x and y

y = 3x-18 => x = 3y-18

Step 3

- Slove for y (By that it means isolate y)

x = 3y-18 (+18 both sides)

x+18 = 3y (Then divide both sides by 3)

1/3x+6 = y

Final Answer:

y = 1/3x+6

Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?

Answers

20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25

Mr. Lopez, Mrs. Manuel, Mrs. Manker and Mrs. Vo come to a river in the night. There is a narrow bridge, but it can only hold two people at a time. They have one torch and, because it's night, the torch has to be used when crossing the bridge. Mr. Lopez can cross the bridge in 1 minute,Mrs. Manker in 2 minutes, Mrs. Manuel in 5 minutes, and Mrs. Vo in 8 minutes. When two people cross the bridge together, they must move at the slower person's pace. The question is, can they all get across the bridge if the torch lasts only 15 minutes?[2]