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storchak [24]
2 years ago
8

What does x equal in this equation? 2x^{2} -7x+9=0

Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Answer:

Step-by-step explanation:                                    -b ± √(b² - 4ac)

Let's solve for x using the quadratic formula x = ------------------------

                                                                                          2a

In this case the coefficients are 2, -7 and 9, so the discriminant, b^2 - 4ac, is (-7)^2 - 4(2)(9), or 49 - 72 = -23.

The roots (zeros) of this quadratic are thus:

       -(-7) ± i√23

x = ----------------------

                 4

or

        7 ±i√23

x = -------------------

               4

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I think it would be $9.20 because 46 divided by 5 = 9.2
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What is 1997 from 2014????????????
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If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of th
Andreas93 [3]

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is a^{2} + b^{2}  = c^{2}. We can rearrange that to get: c^2 - b^2 = a^2. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

8 0
3 years ago
What was the total production of gasoline and kerosene combined (in Barrels)
Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em />x \to<em> Proportion of kerosene</em>

<em />y \to<em>  Proportion of Gasoline</em>

<em />

So:

x = 40\%

y = 34\%

Total = 60\ million ---- total barrels produced

The amount of Kerosene produced is:

Kerosene =x \times Total

Kerosene =40\% \times 60\ million

Kerosene = 24\ million

The amount of Gasoline produced is:

Gasoline  =y \times Total

Gasoline  =34\% \times 60\ million

Gasoline  =20.4\ million

So, the total production of both is:

Total = Kerosene + Gasolene

Total = 24\ million + 20.4\ million

Total = 44.4 million

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>

Read more about equations at:

brainly.com/question/21105092

8 0
2 years ago
A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbohydrates. A quarter pound of lean red meat provi
Tems11 [23]

Answer:

glasses of milk=4

quatar pounds servings of meat =5

two slices of whole grains bread =8

Step-by-step explanation:

Let m= milk

r=meat

b=bread

0.1m+3.4r+2.2b=35 (1)

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (1) by 85 and (2) by 1

8.5m+289r+187b=2,975 (4)

8.5m+22r+10b=224 (5)

Subtract (5) from (4)

267r+177b=2,751 (6)

Recall,

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (2) by 1 and (3) by 8.5

8.5m+22r+10b=224 (7)

8.5m+170r+102b=1700 (8)

Subtract (7) from (8)

148r+92b=1,476 (9)

Recall,

267r+177b=2,751 (6) and

148r+92b=1,476 (9)

Multiply (6) by 148 and (9) by 267

26196b=407,148 (10)

24564b=394,092 (11)

Subtract (11) from (10)

1,632b=13,056

Divide both sides by 1,632

b=13,056/1,632

b=8

Substitute the value of b in (9)

148r+92b=1,476 (9)

148r+92(8)=1,476

148r+736=1,476

148r=1,476-736

148r=740

Divide both sides by 148

r=740/148

r= 5

Substitute the value of b and r in (1)

0.1m+3.4r+2.2b=35 (1)

0.1m+3.4(5)+2.2(8)=35

0.1m+17+17.6=35

0.1m+34.6=35

0.1m=35-34.6

0.1m=0.4

Divide both sides by 0.1

m=0.4/0.1

m=4

4 glasses of milk, 5 quatar pounds servings of meat and 8 two slices of whole grains bread will supply the required nutrients.

8 0
3 years ago
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