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givi [52]
3 years ago
7

Please help I’m so lost .

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0

Answer:12.55

Step-by-step explanation:

All you have to do is add 0.25 +12.3

to get 12.55

hope this helps!

Alexandra [31]3 years ago
6 0

Answer:

12.55

Step-by-step explanation:

Add them so its 12.55

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Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
3 years ago
Apples cost $0.75 per pound and bananas cost $1.05 per pound
LuckyWell [14K]

Answer:

<em>The baker bought 8 apples and 4 bananas</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

a = pounds of apples

b = pounds of bananas

The baker bought a total of 12 pounds of apples and bananas, thus:

a + b = 12      [1]

Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus

0.75a + 1.05b = 10.20     [2]

Solving [1] for a:

a = 12 - b       [3]

Substituting in [2]:

0.75(12 - b) + 1.05b = 10.20

Operating

9 - 0.75b + 1.05b = 10.20

Simplifying:

0.30b = 10.20 - 9 = 1.20

Dividing by 0.30:

b = 1.20/0.30

b = 4

From [3]:

a = 12 - 4 = 8

a = 8

The baker bought 8 apples and 4 bananas

8 0
3 years ago
S = p/(q + p(1 − q)) solve for q
saveliy_v [14]
S = p/(q +p -pq)
q +p -pq = p/s
q -pq = p/s - p
q(1-p) = p/s - p
q = (p/s - p) / (1-p)

8 0
3 years ago
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Simplify each expression using Product to a Power Property a. (9a)^2 b. ( 3x)^2
antiseptic1488 [7]
\begin{gathered} a)81a^2 \\ b)9x^2 \end{gathered}

1) Let's simplify those expressions making use of exponents rules:

(9a)^2=81a^2

Note that the exponent outside the parenthesis is 'distributed' over each term inside.

2) Similarly for the second expression we can state that:

(3x)^2=9x^2

8 0
1 year ago
A new homeowner buys 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each si
Marina CMI [18]
As it is emphasized above, the area (A) of a square is the square of its sides (l),
                               A = l²
The area of the square should be 120 ft². Substituting this to the equation,
                             120 ft² = l²
Solving will give us an answer of l being approximately equal to 10.95 ft. 
3 0
3 years ago
Read 2 more answers
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