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pav-90 [236]
3 years ago
15

You finally get an allowance! You put $2 away in January, $4 away in February, $8 away in March, $16 away in April and followed

this savings pattern through to December. How much money do you have in 12 months?
Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0
2 + 4 + 8 + 16 + 32 +64 + 128 + 256 + 512 + 1024 + 2048 + 4096 = 8190
You also happen to be the luckiest kid in the world to have such rich parents to give such a high allowance. 
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16) The actual distance from Juan's home to Lake Mimo is 120 miles. The distance on a map is 2.5 inches. What scale could have b
Grace [21]

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

7 0
2 years ago
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
iragen [17]

The student made the mistake in Step 2.

It should be m∠o + m∠p = 180 (Supplementary angles)

If this is corrected, then, since m∠m + m∠n + m∠o = 180 from Step 1,

we have,

m∠m + m∠n + m∠o = m∠o + m∠p which is Step 3.

Cancelling m∠o both sides, we get,

m∠m + m∠n = m∠p which is Step 4.

7 0
3 years ago
Find an equation for the inverse for each of the following.
IgorLugansk [536]

Answer:

  • <em>To solve these first swap x and y, solve for y and name it inverse function</em>

3. <u>y = -8x + 2</u>

  • x = -8y + 2
  • 8y = -x + 2
  • y = -x/8 + 2/8
  • y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4.<u> y = (2/3)x - 5</u>

  • x = (2/3)y - 5
  • (2/3)y = x + 5
  • y = (3/2)x + (3/2)5
  • y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. <u>f(x) = 2x² - 6</u>

  • x = 2y² - 6
  • 2y² = x + 6
  • y² = 1/2x + 3
  • y = \sqrt{1/2x + 3}

f⁻¹(x) = \sqrt{1/2x + 3}

-----------------------------------------

6. <u>y = (x - 3)²</u>

  • x = (y - 3)²
  • \sqrt{x} = y - 3
  • y = 3 + \sqrt{x}

f⁻¹(x) = 3 +  \sqrt{x}

4 0
3 years ago
Which two values of x are the roots of the polynomial below? <br> x^2+5x+11
In-s [12.5K]

Answer:

x = -5/2 + i√19 and x = -5/2 - i√19

Step-by-step explanation:

Next time, please share the possible answer choices.

Here we can actually find the roots, using the quadratic formula or some other approach.

a = 1, b = 5 and c = 11.  Then the discriminant is b^2-4ac, or 5^2-4(1)(11).  Since the discriminant is negative, the roots are complex.  The discriminant value is 25-44, or -19.

Thus, the roots of the given poly are:

      -5 plus or minus i√19

x = -----------------------------------

                     2(1)

or x = -5/2 + i√19 and x = -5/2 - i√19

5 0
3 years ago
Read 2 more answers
I need help with my algebra fraction assignments. I need help with page 2, 3,4,5 and 7. I also have additional albebra fraction
PolarNik [594]

Answer:

Step-by-step explanation:

#2 the answer is B, -16/9

do 1/4-5/2

to do this, find the least common denominator. it's 4

1/4-10/4=-9/4

then divide 4 by -9/4. This is the same as 4*-4/9. That is -16/9

#3 the answer is A 9x/x-8

first factor the denominator of the first fraction using special products

x^2-6x-16=(x-8)(x+2)

if you look at the first fraction, you can simplify x+2 leaving you with the fraction 1/x+8

multiply that by 9x, and you get 9x/x-8

#4 the answer is C (2x+1)/2x^2

first add x/4 and 1/8

find the least common denominator. its 8

2x/8 + 1/8 is equal to (2x+1)/8

then multiply that by x^2/4 because dividing a fraction is the same as multiplying its reciprocal

you get (2x+1)/2x^2

#5 the answer is C (x-8)/(x+3)

using special products you can factor the numerator

x^2-4x-32 is the same as (x-8)(x+4)

then, using special products you can also factor the denominator

x^2+7x+12 is the same as (x+4)(x+3)

you can see that both the numerator and the denominator is multiplied by (x+4) you can simplify that. That leaves you with (x-8)/(x+3)

#7 the answer is D 3m

in the numerator in the second fraction, you can factor out 5m^2

leaving you with 5m^2(m-6)/5m^2. simplify the 5m^2 and the m-6

after you simplify both of those, you will get 3m

7 0
3 years ago
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