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schepotkina [342]
2 years ago
5

Help me please. What is (2a+8) + (4a +5)

Mathematics
2 answers:
Rom4ik [11]2 years ago
8 0

Answer:

6a + 13

Step-by-step explanation:

2a + 4a = 6a

8 + 5 = 13

6a + 13

Nutka1998 [239]2 years ago
6 0

Answer: 6a+13

Step-by-step explanation:

2a+8+4a+5

2a+13+4a

now combine like terms:

2a+13+4a=

6a+13

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Pls help i’ll give u a brainlest
miskamm [114]

Answer:

3. V=96

4. V=108

Step-by-step explanation:

8 0
3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
Evaluate |x - 13| when x=5.
bixtya [17]

Answer:

8

Step-by-step explanation:

|x - 13|

Let x =5

|5 - 13|

|-8|

Absolute value means positive

8

4 0
3 years ago
Read 2 more answers
Can someone please help
Andreas93 [3]

Answer:

x = 13

Step-by-step explanation:

→ Remember the amount of degrees a triangle sums to

180°

→ Make an equation

8x - 44 + 8x - 44 + 8x - 44 = 180

→ Simplify

24x - 132 = 180

→ Add 132 to both sides

24x = 312

→ Divide both sides by 24

x = 13

4 0
2 years ago
Read 2 more answers
gary has just retired, and has 750000 dollars in his retirement account. the account will earn interest at an annual rate of 5 p
ch4aika [34]

The amount of money that Gary can withdraw each month is equal to $4026.18.

<u>Given the following data:</u>

  • Value of each payment, P = 750,000 dollars.
  • Annual percentage interest rate, APR = 5% = 0.05.
  • Time, t = 30 years.

<h3>What is APR?</h3>

APR is an acronym for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.

This ultimately implies that, the annual percentage rate (APR) would be calculated by dividing the rate of interest by twelve (12).

Rate of interest, r = APR/12

Rate of interest, r = 0.05/12

Rate of interest, r = 0.0041667

Next, we would calculate the present value of this ordinary annuity by using this formula:

Present value, PV = [P ÷ [1 - (1 + r)^{-nt}]/r]

Substituting the given parameters into the formula, we have;

Present value = [750,000 ÷ [(1 - (1 + 0.0041667)^{-30 × 12})/0.0041667]

Present value = [750,000 ÷ [(1 - (1.0041667)^{-360})/0.0041667]

Present value = [750,000 ÷ [(1 - 0.2238239)/0.0041667]

Present value = [750,000 ÷ [0.7761761/0.0041667]

Present value = 750,000 ÷ 186.280773754

Present value, PV = $4026.18.

Read more on present value on annuity here: brainly.com/question/13373662

#SPJ1

7 0
1 year ago
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