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Vesnalui [34]
3 years ago
11

What’s the correct answer to this problem ?

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The equation for an upward opening parabola is

y = a(x-h)^2 +k

Where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x--3)^2 +-1

y = a(x+3)^2 -1

Put a point in to find a

(0,8)

8 = a(0+3)^2 -1

8 = a (3)^2 -1

Add 1 to each side

8+1 = a9

9=9a

Divide by 9

1 =a

y = (x+3)^2 -1

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Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual l
alukav5142 [94]

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

4 0
3 years ago
Express the product of 2xsquared+6x-8 and x+3 in standard form
postnew [5]

Answer:

2x^3+12x^2+10x-24

Step-by-step explanation:

(2x^2+6x-8)(x+3)

2x^3+6x^2-8x+6x^2+18x-24

2x^3+6x^2+6x^2-8x+18x-24

2x^3+12x^2+10x-24

4 0
3 years ago
Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges
BartSMP [9]

Answer:

  25

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

  y = 75 +7x . . . . . cost for x students to visit the science center

  y = 50 +8x . . . . cost for x students to visit the natural history museum

__

Subtracting the first equation from the second, we get ...

  0 = -25 +x

  25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

__

<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

  $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

4 0
2 years ago
Explain why the force exerted by the muscle is much greater than the weight of the phone<br>​
lord [1]

Answer:

sorry i dont understand it

Step-by-step explanation:

8 0
3 years ago
A package of aa batteries costs 3.50 plus an additional 6% tax. What is the price after tax?
Fiesta28 [93]
6% tax means 6% of $3.50

Convert 6% to decimal (move decimal 2 spots to the left): 6% ⇒ .06

Multiply 3.50 with .06 = .21 <-- That's .21 cents of 3.50

That means you have to pay an extra 21 cents. Add that to the $3.50 you had to pay.

$3.50 + $0.21 = $3.71 <-- Price after tax
6 0
3 years ago
Read 2 more answers
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