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nataly862011 [7]
3 years ago
7

What two steps are necessary to put this equation into standard form?

Mathematics
2 answers:
andrew-mc [135]3 years ago
4 0
X² - 3x + 27 = 8x - 3     аdd 3 to both sides  ⇒
           + 3          + 3
---------------------------
x² - 3x + 30 = 8x         subtract 8x from both sides ⇒<span>
    - 8x          - 8x
--------------------------
x</span>² - 11x + 30 = 0    ←  <span>standard form
</span>

A. Add 3 to both sides and subtract 8x from both sides.
Over [174]3 years ago
4 0

The correct answer is A

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Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 2323 Pennies 55 Dimes 2020 Nic
GaryK [48]

Answer:

The answer is "0.081"

Step-by-step explanation:

Dimes = 55

Calculating total coins = (23+55+20+19) = 117

P(for a dime) = \frac{55}{117}

Calculating remaining coins = 116

Nickels = 20

P(for nickel draw in second) = \frac{20}{116}

P(for a dime after that a nickel, without replacement)

= \frac{55}{117} \times \frac{20}{116} \\\\=  \frac{1100}{13572} \\\\=0.081

7 0
3 years ago
the table shows the balance of a money market account over time. write a function that represents the balancr y (in dollars) aft
Solnce55 [7]

Answer:

y = 1500 * 1.09^t

Step-by-step explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t

6 0
2 years ago
7. Jason wants to walk the shortest distance to get from the parking lot to the beach
Assoli18 [71]
There are 3 right triangles.
                         Long leg          short leg           hypotenuse
Large                  ?                          ?                       32+18 = 50 m
Medium            32 m                     x                          ?
Small                   x                         18 m                    ?

Similar triangles: small & medium

short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24

                       Long leg          short leg           hypotenuse
Large                  ? → 40 m          ?                       32+18 = 50 m
Medium            32 m                     24 m                 ? → 40 m
Small                24 m                     18 m                  ? → 30 m

solve hypotenuse of medium and small using Pythagorean theorem.

32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c

24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c

Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse

32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters

B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
7 0
3 years ago
PLEASE HELP 100 POINTS
Karolina [17]

Step-by-step explanation:

the total surface area is the sum of the individual areas.

we have the ground area : a 6×6 square. = 36 cm²

and we have 4 equal triangles.

the area of a triangle is baseline × height / 2.

which is for each of these triangles

6 × 12 / 2 = 3 × 12 = 36 cm²

so, the total surface area of the pyramid is

36 + 4×36 = 5×36 = 180 cm²

8 0
2 years ago
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One pitcher of smoothies uses 3 cups of berries. How many pitchers of smoothies can you make with 10 cups of berries?
Fed [463]
Answer is 10 cups divided by 3 cups = 1 pitcher smoothie,
10/3 or 3-1/3 pitchers of smoothies
I don’t see your choices so my answers might not be what you have to chose from
7 0
2 years ago
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