All categories

1 year ago

Find the value of these limits

Mathematics

1 answer:

kupik [55]1 year ago

4 0

Step-by-step explanation:

Limit as x approaches 5 from the left is 5^2 + 5(5) + 4 = 54

Limit as x approaches 5 from the right is -6(5)+3=-27

You might be interested in

Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the num

Ivahew [28]

Answer:

J < T - 5

Step-by-step explanation:

T = The number of juice boxes Thomas had

J = The number of juice boxes Thomas gave to his sisters

Thomas had 12 juice boxes

T = 12

He gave some to his sisters he now has more than 5 left.

T - J > 5

-J > 5 - T

J < -5 + T

J < T - 5

5 0

3 years ago

Solve Systems of Equations Algebracallyy=x+2 y=-3x

Sphinxa [80]

y = x + 2

y = -3x

Do y = -3x in y = x + 2

y = x + 2

-3x = x + 2

-3x - x = 2

-4x = 2

x = -2/4

x = -1/2

Now put x = -1/2 in y = -3x

y = -3x

y = -3.(-1/2)

y = 3/2

5 0

3 years ago

If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200

12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

$1000x = 200$

$x = \frac{200}{1000}$

$x = 0.2mg$

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

$x = 60*0.2$

$x = 12mg$

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

$123x = 250*12$

$x = \frac{250*12}{123}$

$x = 24.39$ mL

24.39mL of the solution would be given per hour.

7 0

2 years ago

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses $\dfrac{2}{3}$ cups of shortening for every $2\dfrac{1}{2} = \dfrac{5}{2}$ cups of flour.

So, for each $\dfrac{2}{3}$ cup of shortening she uses $\dfrac{5}{2}$ cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be

$\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15}$ i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0

3 years ago

An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t

UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let $b$ represent the number of black printer ink cartridges sold. Let $c$ represent the number of color printer ink cartridges sold.