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3 years ago

(3x2-10x+4)+(10x-5x+8)

Mathematics

1 answer:

Luba_88 [7]3 years ago

8 0

Answer:

13x^2 - 15x + 12

Step-by-step explanation:

Add like terms.

3x^2 + 10x^2 = 13x^2

-10x + -5x = -15x

4 + 8 = 12

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You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?

vredina [299]

Answer:

$0.90 per pound.

Step-by-step explanation:

4.50:5

5/5=1

4.50/5=0.90

5 0

3 years ago

Read 2 more answers

Shorty’s Muffler advertises it can install a new muffler in 30 minutes or less. However, the work standards department at corpor

pav-90 [236]

Answer:

The installations at the Maumee branch would you expect to take more than 30 minutes is 10.

Step-by-step explanation:

Consider the provided information.

Let x is the installations at the Maumee branch take more than 30 minutes.

The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.

Therefore, π=0.20

The Maumee branch installed 50 mufflers last month.

Thus, n=50

Mean of the distribution: μ=nπ

Substitute the respective values in the above formula.

μ=(50)(0.20)

μ=10

Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.

7 0

3 years ago

Please answer this <3

luda_lava [24]

Answer:

600 sq in

Step-by-step explanation:

5 0

3 years ago

If x varies directly with y and x = 2.5 when y = 10, funny x when y = 16.

amid [387]

Answer:

Should be 4.0(Not sure tho. my thought process is complicated but to me it makes sense)

Step-by-step explanation:

If y=10 and x =2.5, if y were to = 20, then x would equal 5. so you take that ratio, and say 6 is 3/5's the way to 10, so you also divide 2.5 by 3/5

you get 1.5, you add that to x already and you get 4.0

so if y=16, x should =4.0

3 0

3 years ago

Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

2 years ago