Lim (h->0) (sqrt(25+h)-5)/h.

Answers

Answer 1

Answer: $\lim_(h \to 0) ( √(25+h) -5)/(h)= (0)/(0)$
We have to multiply numerator and denominator by: √(25-h)+ 5:
$\lim_(h \to 0) ( √(25+h)-5)/(h)* ( √(25+h) +5)/( √(25+h)+5) = \n \lim_(h \to 0) (25+h-25)/(h( √(25+h)+5) ) = \n \lim_(h \to 0) (1)/( √(25+h) +5) = \n = (1)/(5+5)=$ = 1/10 = 0.1

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WILL MARK BRAINLIEST Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of $18. A student concluded that the price of each notebook is $5 and the price of each pack of index cards is $1. Which statement best justifies whether the student's conclusion is correct or incorrect? The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2). The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (8, 2). The student's conclusion is correct because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (5, 1). The student's conclusion is correct because the solution to the system of equations 3x − 4y = 32 and 5x − 5y = 50 is (5, 1).

Answers

Let x be cost notebook and y be cost of index card
According to first condition
3x+4y=32

According to second comdition
5x+5y=32+15

Solve the two equations

Select the property of equality used to arrive aSelect the property of equality used to arrive at the conclusion.If x = 2, then x + 8 = 10

a.the multiplication property of equality

b.the division property of equality

c.the addition property of equality

d.the subtraction property of equality

Answers

would it be b

I really don't know thou

the answer would be D., x+8=10 you are going to subtract 8 from both sides to get x=2

Which of the following shows 27/54 written in prime factored form to help in reducing the fraction to simplest form? A. 9x3/9x6
B. 27x1/27x2
C. 3x3x3/3x3x3x2
D. 1/2

Answers

Answer: C. 27/54 .

Step-by-step explanation:

Here, given number, 27/54

Since the prime factor form of 27 = $3* 3* 3$

And, the prime factor form of 54 = $3* 3* 3* 2$

putting the prime factor form of both 27 and 54 in the given numbers.

we get, $(27)/(54) =(3* 3* 3)/(3* 3* 3* 2) = 1/2$

Thus, by putting the prime factor form by C we get the simplest form of the given fraction.

Therefore, Option C is correct.

C. 3x3x3/3x3x3x2

27 splits into 3 and 9, the 9 splits into 2 3's. You can't split the threes.
54 splits into 2 and 27, the 27 is the same as above.

Which of the following graphs represents the solution set for 7(4x – 1 ) + 6x > –279? PLEASE HELP

Answers

The solution is, graph is D ,which graphs represents the solution set for 7(4x – 1 ) + 6x > –279.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

First, solve the inequality:

7(4x – 1 ) + 6x > –279

solving we get,

34x>-272

x>-8

Since x is greater than -8, you have the arrow point up the graph towards the positive side starting at -8.

Since it's greater than but not equal to -8, the circle is open.

Thus, The solution is, graph is D.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ2

First, solve the inequality:
$7(4x - 1 ) + 6x \ \textgreater \ -279\n28x-7+6x\ \textgreater \ -279\n34x\ \textgreater \ -272\nx\ \textgreater \ -8$
Since x is greater than -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.

Thus your graph is D.

Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all five tests. Which equation could Markus use to determine the score of the fifth test, x?

Answers

The answer is B. 5(x + 5) = 353 + x

(For anyone who needs it now)

Answer: B. 5(x + 5) = 353 + x

Step-by-step explanation:

A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x. Round your answer to the nearest tenth.

Answers

Answer: 0.07 cups/cookie

Step-by-step explanation:

The Constant of proportionality is the measure by which the number of cookies made, y increases to the number of cups of flour used, x.

If 3.5 cups of flour makes 48 cookies then how many cookies does 1 cup make;

= 3.5/48

= 0.07 cups/cookie

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