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grandymaker [24]
2 years ago
14

What is the result of substituting for y in the bottom equation?

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

Answer:

(A)x + 3= x^2 + 2x-4

Step-by-step explanation:

Given the equations:

y = x + 3\\y= x^2 + 2x-4

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into y=x^2 + 2x-4 gives us:

x + 3= x^2 + 2x-4

The correct option is A.

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An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo
ss7ja [257]

Answer:

$50,100

Step-by-step explanation:

Given the scatter plot and the linear model, we can estimate that the total sales for the company after 40 months will be close to $50,000.  However, in order to get a more precise answer, we can solve for the total sales, 'y', based on the number of months, 'x', in the given linear model:

y = 0.94(40) + 12.5  = 37.6 + 12.5 = 50.1

Since the amount of sales is in multiples of $1000:

50.1 * 1,000 = $50,100

3 0
2 years ago
Read 2 more answers
Malia split up the large container of salsa that she bought into 5 bowls to place around her house for the party if each Bowl co
Hoochie [10]

Answer:

You never gave the answer choices but it should look something like this.

5 ⋅ 8.5 = x

or

x / 5 = 8.5

as for x.  X=42.5

3 0
2 years ago
A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt
DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\  \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

Answer: the height of the statue is 2.0565 ft.

8 0
1 year ago
Read 2 more answers
Evaluate 4(a2 + 2b) - 2b
iogann1982 [59]
<span>4(a^2 + 2b) - 2b
= 4a^2 + 8b - 2b
=</span> 4a^2 + 6b
5 0
1 year ago
A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady r
sleet_krkn [62]

Economic Order Quantity

The economic order quantity, that is, the order quantity that minimizes the inventory cost is:

300 cases of tennis balls

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 tennis balls

This implies that the distributor will place about 33 orders in the coming year.  With each order, the quantity placed is 300 units.  This is the economic order quantity that will minimize its inventory cost for the year.

8 0
2 years ago
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