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lesya [120]
3 years ago
5

Find the number. PLEASE HELP!!!

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
5 0

Answer:

x = 18or x = - 20

Step-by-step explanation:

Given

x² + 2x = 360 ( subtract 360 from both sides )

x² + 2x - 360 = 0 ← quadratic in standard form

Consider the factors of the constant term (- 360) which sum to give the coefficient of the x- term (+ 2)

The factors are + 20 and - 18, since

20 × - 18 = - 360 and 20 - 18 = 2 , thus

(x + 20)(x - 18) = 0

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x - 18 = 0 ⇒ x = 18

Thus the number could be 18 or - 20

Trava [24]3 years ago
3 0

Answer:

X=18

Step-by-step explanation:

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devlian [24]

Answer: 26.67

Step-by-step explanation: multiply 20 and 4/3

4 0
3 years ago
Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

3 0
3 years ago
The vertex of the graph of f(x) = |x – 3| + 6 is located at ( , ).
pashok25 [27]

The vertex would be at (3, 6).

4 0
4 years ago
Kennedy’s car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406miles
makvit [3.9K]

In the US, the gallon is a unit of measurement for liquids like milk, fuel, and water. If the petrol in your automobile is nearly empty, you should stop and get at least a few more gallons. A gallon is equal to 4 quarts, or 3.785 liters, of liquid.

<h3>Explain about the gallons?</h3>

Eight pints make up a gallon, which is a unit of measurement for liquids. It is equivalent to roughly 4.546 liters in Britain. It is roughly equivalent to 3.785 liters in America.

A gallon of water in the US weighs 8.345 pounds or 3.785 kilogram at 17 degrees Celsius, while a gallon of water in the imperial system weighs 10.02 pounds or 4.545 kilogram. The Imperial gallon weighs 16.6% less than 1 US gallon (gal).

Gas consumption is affected by driving on hills and mountainous terrain, by the state of the roads (such as stop-and-go city traffic or highway travel), and by the weather (such as high winds or snow). We can safely infer that under a number of

Answer is 14 gallons of gas need to travel 406 miles

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5 0
1 year ago
0.0084 scientific notation
kogti [31]

Answer:

8.4*10^-3

Step-by-step explanation:

Move the decimal point 3 places in order to get a number in the one's place.

7 0
3 years ago
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