In X+3(X+4)=20 you distribute the 3 to the x and 4 but what happens to that 3 afterwards

Answers

Answer 1

Answer: it is a linear simple equation, lets solve it step by step:
X + 3(X + 4) = 20
x + 3x + 3*4 = 20
4x + 12 = 20
4x = 20 - 12
4x = 8
x = 8/4
x = 2

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Three is a zero of the equation x^3−4x^2−3x+18=0. Which factored form is equivalent to the equation?

Answers

Answer:

$x_1=-2,\ x_2=x_3=3\n \n(x+2)(x-3)^2=0$

Step-by-step explanation:

Consider the equation

$x^3-4x^2-3x+18=0$

The zeros of the equation can be the divisors of 18:

$\pm 1,\ \pm2,\ \pm3,\ \pm 6,\ \pm 9,\ \pm 18$

Check them:

$1^3-4\cdot 1^2-3\cdot 1+18=1-4-3+18=10\neq 0\n \n(-1)^3-4\cdot (-1)^2-3\cdot (-1)+18=-1-4+3+18=16\neq 0\n \n2^3-4\cdot 2^2-3\cdot 2+18=8-16-6+18=4\neq 0\n \n(-2)^3-4\cdot (-2)^2-3\cdot (-2)+18=-8-16+6+18=0$

So, x=-2 is zero. Now

$x^3-4x^2-3x+18\n \n=x^3+2x^2-6x^2-12x+9x+18\n \n=x^2(x+2)-6x(x+2)+9(x+2)\n \n=(x+2)(x^2-6x+9)\n \n=(x+2)(x-3)^2$

Thus, x=3 is the second root (of multiplicity 2)

Simplify each expression

2x+5y+7x=

Answers

you add 2x and 7x to get 9x
so the answer is 9x+5y

A circle is shown. 2 secants intersect outside of the circle to form angle 1. The measure of the first arc formed is b degrees, and the angle of the second arc is a degrees. Arc c degrees is outside of the secants. Which formula would be used to find the measure of angle 1? One-half(a° + b°). One-half(a° – c°). One-half(b° + c°). One-half(a° – b°).

Answers

A formula that can be used to determine the measure of angle 1 include the following: D. 1/2(a° – b°).

What is the theorem of intersecting secants?

In Mathematics and Euclidean Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants to the circle, we can reasonably and logically deduce that the measure of angle 1 or m∠1 can be calculated as follows:

m∠1 = 1/2(a° – b°)

m∠1 = (a° – b°)/2

Read more on intersecting secants here: brainly.com/question/31049910

#SPJ3

Missing information:

The question is incomplete and the missing circle is shown in the attached picture.

Answer:

Hello the answer to your question is,

D. One-half(a° – b°)

D. 1/2 (a° – b°)

Step-by-step explanation:

I hope this helps.

And also trust me, I got it RIGHT. ( I putted them two answers bc for those people who have trouble writing/reading it down as word form and number form)

How many quarter hours are in 5 hours?

Answers

There is a few ways to get the result.
Lets try this.
First calculate how many minutes are in the 5 hours.
60min*5=300min - in 5 hours
Now, knowing that quarter is 15min we can divide 300 by 15 to get the result, so
300:15=20 - its the result.

i would do this with a proportion. we know 4 quarter hours are in 1 hour, so how many are in 5?
4/1 = x/5
cross multiply
1*x=4*5
x=20
there are 20 quarter hours in 5 hours.

PROBLEM #1Keith has $500 in a savings account at the beginning of the
summer. He wants to have at least $200 in the account by the
end of summer. He withdraws $25 a week for his cell phone
bill.
Write an inequality that represents Keith's situation.

Answers

Answer:

500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

Initial amount: 500

2. He wants to have at least $200 in the account by the end of summer.

Final amount ≥ 200

3. He withdraws $25 a week for his cell phone bill.

Call w the number of weeks

Withdrawls = 25w

4. Write an inequality that represents Keith's situation.

Create your model: Final amount = Initial amount - withdrawals ≥ 500

500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

500 - 200 ≥ 25w

300 ≥ 25w

300/25 ≥ w

12 ≥ w

w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

What does 8/9x3/4 equal to

Answers

Multiply the numerator by the numerator and denominator by denominator. 8 times 3 is 24 and 9 x 4 is 36. You can divide both sides by 12 to get 2/3 which is the answer in simplest form.

times the bottom numbers, times the top numbers and you should get 24/36. Simiplify and you should get 2/3.

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