All categories

2 years ago

Mark's age, x , is 6 times his age 2 years ago. which equation represents the statement?

Mathematics

1 answer:

AlekseyPX2 years ago

5 0

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

You might be interested in

Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs

Karolina [17]

Answer:0.15d+30<_100

Step-by-step explanation:

5 0

3 years ago

I don’t really understand what to do on these questions and could you tell me the ratio to solve the rest?

SVEN [57.7K]

Step-by-step explanation:

Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.

x / 130 cups punch = 10 cups lemon-lime / 15 cups punch

x = 86.67 cups lemon-lime soda

y / 130 cups punch = 5 cups orange soda / 15 cups punch

y = 43.33 cups orange soda

x / 65 cups punch = 10 cups lemon-lime / 15 cups punch

x = 43.33 cups lemon-lime soda

y / 65 cups punch = 5 cups orange soda / 15 cups punch

y = 21.67 cups orange soda

x / 195 cups punch = 10 cups lemon-lime / 15 cups punch

x = 130 cups lemon-lime soda

y / 195 cups punch = 5 cups orange soda / 15 cups punch

y = 65 cups orange soda

8 0

3 years ago

A building casts a shawdow 48 feet long. At the same time, A 40 feet tall flag pole casts a shadow 9.6 feet long. What is the he

frutty [35]

I believe it's 200 feet tall.

40/9.6 = x/48
Use laws of proportions to solve for x

5 0

3 years ago

According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Genrish500 [490]

Answer:

$\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}$

Step-by-step explanation:

The given polynomial function is

$f(x)=5x^3-7x+11$

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

$\pm\frac{11}{1}=\pm11$

$\pm\frac{1}{1}=\pm1$

$\pm\frac{11}{5}$

$\pm\frac{1}{5}$

4 0

3 years ago

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4

7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

6 0

3 years ago