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3 years ago

6

Explain how to write an inequality to model the problem.

2 answers:

amid [387]3 years ago

8 0

Answer:

Identify the variable as the number of runs. Identify the inequality symbol needed as greater than. Identify the constant as 5 runs. Write the inequality as r > 5.

Step-by-step explanation:

pashok25 [27]3 years ago

6 0

Answer: x > 5

Step-by-step explanation:

x represents the wins for the baseball teams. since the baseball team scored more than 5 wins, you can use the inequality symbol '>' to represent greater than. the end result for the inequality is x>5.

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What is D of the arithmetic sequence for which a5 equals 24 and a9 equals 40

Gnom [1K]

In an arithmetic sequence d represent the common difference.

The formula to find the general term of an arithmetic sequence is,

$a_{n} =a_{1} +(n-1)d$

Where $a_{n}$ = nth term and

$a_{1}$ = First term.

Given, $a_{5} = 24, a_{9} = 40$ . Therefore,

$a_{1} +(5-1)d = 24 , a_{1} +(9-1)d = 40$

$a_{1} +4d = 24 , a_{1} +8d = 40$

Next step is to subtract the above equations so that we can eliminate a1 and get the value of d. Hence,

4d - 8d = 24 - 40

-4d = - 16

$\frac{-4d}{-4}= \frac{-16}{-4}$ Divide each sides by - 16.

d = 4

So, d = 4.

Hope this helps yoi!.

5 0

3 years ago

I really dislike trigonometry, here's another question

alex41 [277]

It’s a little blurry but i can help

5 0

3 years ago

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee

Serjik [45]

Distance between the top and bottom of the bridge is 76 feet

Solution:

The image of the question is attached below.

Ratio of the triangles is 1 : 1.

AC = 2x + 10 and EC = 4x − 18.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

Therefore sides AC and EC are corresponding to each other.

AC : EC = 1 : 1

$$\Rightarrow \frac{A C}{E C}=\frac{1}{1}$

$\Rightarrow A C=E C$

$\Rightarrow 2 x+10=4 x-18$

Subtract 10 from both sides of the equation.

$\Rightarrow 2 x=4 x-28$

Subtract 4x from both sides of the equation.

$\Rightarrow -2 x=-28$

Divide by -2 on both sides, we get

⇒ x = 14

Distance between the top and bottom of the bridge is EA.

EA = AC + EC

= 2x + 10 + 4x - 18

= 6x - 8

= 6(14) - 8

= 84 - 8

EA = 76 feet

Distance between the top and bottom of the bridge is 76 feet.

3 0

3 years ago

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

AnnZ [28]

Answer:

D

Step-by-step explanation:

f(x)=x³-2x²

f(i)=(i)³-2(i)²=i²×i-2(-1)

=-1×i+2

=2-i

6 0

4 years ago

A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the

Ierofanga [76]

Number of dog food packages bought by Byron is 300

Step-by-step explanation:

Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.

Number of hamster food packages = b.

Number of dog food packages = 4b

Number of cat food packages = 1/2 of 4b = 2b

Total food packages = 600

⇒ b + b + 4b + 2b = 600

⇒ 8b = 600

⇒ b = 600/8 = 75

Step 2: Calculate the amount of dog food

∴ 4b = 4 × 75 = 300

4 0

4 years ago

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