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Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:

Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.

Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).

Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.

Use the quadratic formula to solve for x:

x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))

= (-1/2) +/- sqrt(5/8)

= (-1/2) +/- sqrt(40/64)

= (-1/2) +/- sqrt(10/16)

= (-1/2) +/- (5/8)

= -1 +/- 5/8

= -1 + 5/8 or -1 - 5/8

= -7/8 or 1/8

Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.

Step-by-step explanation:

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer: Option 2

Step-by-step explanation:

[tex]-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50[/tex]

This is false, so there are no solutions.

Answer:

p = 3

Step-by-step explanation:

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = √x

The function after the transformation, then we have

f(x) = √(x - 7) + 2

The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,

x - 7 ≥ 0

x ≥ 7

More about the function link is given below.

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Work Shown:

area = length*width

length = area/width

length = 3162/51

length = 62 meters

the base timed by the height

Answer:

a. Their down payment is 25% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$35,000 ÷ $140,000 = 0.25 = 25%

b. A $7,000 down payment would be 5% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$7,000 ÷ $140,000 = 0.05 = 5%

1) Note that in the problem above, the complete table is given as:

Team Number:     1             2      3           4           5

Best Jump (ft)       20.6    21.5    20.9      19.4        20.2

2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.

3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.

Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.

The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.

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Answer:

a = 327 m²

Step-by-step explanation:

Area of bed

r = 22/2 = 11

a = 3.14(11²)

a = 379.94

Area of bed and sidewalk

r = 11 + 4 = 15

a = 3.14(15²)

a = 706.5

Area of sidewalk

a = 706.5 - 379.94

a = 327 m² (rounded to whole number

Answer:

34/10 is equivalent to 17/5 because 17 x 2 = 34 and 5 x 2 = 1051/15 is equivalent to 17/5 because 17 x 3 = 51 and 5 x 3 = 1568/20 is equivalent to 17/5 because 17 x 3 = 68 and 5 x 3 = 20

Step-by-step explanation:

hii, how are you

Answer:

B

Step-by-step explanation:

45-45-90

find hypotenuse: leg × root 2

[tex]8 \times \sqrt{2} [/tex]

Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

The area of the board that can be seen is  11.44 decimeter square.

The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.

Area of a circle = πr²

Where :

3.14 x 2² = 12.56 d²

Area of the rectangle = length x width

6 x 4 = 24

Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

Answer:

It will take them 8 hours to meet

Step-by-step explanation:

If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...

22 + 14 = 36 mph

Now divide the distance between them by the speed with which they get closer to each other, and get...

288 miles / 36 mph = 8h

Answer:

25

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

D. 1.28 per decade

Step-by-step explanation:

I calculated it logically

Answer:

price per can is 0.5

Step-by-step explanation:

Answer: x=5 (simplified)

Answer:

4x-3=2x+7

4x-2x=7+3

2x=10

2x/2x=10/2

x=5

Answer: Statement 2 (P(odd number) = 1/2) is true

Step-by-step explanation:

Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]

Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]

Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]

Statement 4: there is no 9 on an 8 sided cube. [FALSE]

Answer:

19.6

Step-by-step explanation:

The ratio of brown paint to white paint is, 5:7 or [tex]\frac{5}{7}[/tex] so if he bought 14 gallons of white paint we need to figure out:

[tex]\frac{5}{7} =\frac{14}{x}[/tex]

which we can as it only has one unknown:

5x=14×7

5x=98

x=19.6

So the answer is 19.6

Answer:

B. 19.6 gallons

Step-by-step explanation:

5 Gallons of Brown ⇒ 7 Gallons of White

14 Gallons of Brown ⇒ x

x = 7 into 14 / 5

x = 98 / 5

x = 19.6

HOPE IT HELPS :)