Find the third term and the common difference. 1, 4, 7, 10

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Each term is equal the preceding term plus 3. Therefore the next term is 13 and the difference is +3.

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As a motivational speaker, Bree speaks at school assemblies, charging a school

Oksi-84 [34.3K]

Answer:

<em>Bree spoke at 55 assemblies in this district.</em>

Step-by-step explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.

4 0

3 years ago

What is the prime factorization of 325

Tasya [4]

The Prime Factorization of 325
Answer : 5^2 • 13
hope this helps!!!

8 0

3 years ago

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .