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Juliette [100K]
3 years ago
7

Find three consecutive odd integers such that the square of the second decreased by four times the first is seven more than six

times the third.
please help
Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Answer:

x, x+2, x+4

(x+2)^2 - 4(x) = 6(x + 4) + 7

x^2 + 4x + 4 - 4x = 6x + 24 + 7

x^2 - 6x - 27 = 0

x = 9 (∨ x = -3)

The three numbers are

9, 11, 13

but it could be also

-3, -1, 1

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Humans have a normal body temperature of 98.6 F A temperature, x, that differs from normal by at least 2°F is considered unhealt
Romashka-Z-Leto [24]

Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2  

Step-by-step explanation:

Since, the normal temperature = 98.6° F

Also, the temperature that differs from normal by at least 2°F is considered unhealthy.

If the temperature is x degree F,

Then, we have two conditions,

Condition 1 : x > 98.6,

The difference between 98.6 and x = x - 98.6

Then the inequality be,

x - 98.6 ≥ 2

Condition 2 : x < 98.6

The difference between 98.6 and x = 98.6 - x

Then the inequality be,

98.6 - x ≥ 2

3 0
3 years ago
True or false: given a sample mean of 2.1 and a sample standard deviation of 0.7 from a sample of 10 data points, a 90% confiden
iris [78.8K]
Your answer is false.

4 0
3 years ago
Y = 4x - 6
aalyn [17]

Answer: Plug y into the bottom equation

Step-by-step explanation:

It’s simple! You are given the value of y and the easiest step would just be to plug y in.

Hope this helps!

7 0
3 years ago
Read 2 more answers
A and b are positive integers. Find <img src="https://tex.z-dn.net/?f=-2a%2B3b" id="TexFormula1" title="-2a+3b" alt="-2a+3b" ali
lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

-2(2)+3(3)=?

-4+9=?

5

Sorry about having to use this ^ symbol, the equation maker is not working.

7 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon
sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0
3 years ago
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