What is the discriminant of the equation 3x^2-4=2x

Answer:

Step-by-step explanation:

P = 4 a

a = √p^2 + q^2 / 2

P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm

∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm

\(\huge\text{Hey there!}\)

\(\large\text{-2.9f + 0.9f -12 - 4}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(-2.9f + 0.9f) + (-12 - 4)}\\\\\large\text{(-2.9f + 0.9f) = \bf{-2f}}\\\\\large\text{(-12 - 4) = \bf{-16}}\\\\\large\text{= \bf{-2f - 16}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{-2f - 16}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

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The expression equivalent to the expression 2(3t + 4) is 6t + 8

From the question, we have the following parameters that can be used in our computation:

2(3t + 4)

To start with, we need to open the bracket of the expression

so, we have the following representation

2 * 3t + 2* 4

Evaluate the products

6t + 8

hence, the equivalent expression is 6t + 8

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Answer:

17

Step-by-step explanation:

if 2 hours is 34 miles, then you divide 34 by 2 to get 17

Answer:

Right

Step-by-step explanation:

Trust me

Answer:

lion

Step-by-step explanation:

you multiply what is outside the parenthesis to everything inside the parenthesis

Answer:25.56

Step-by-step explanation:

Multiply 7.1 x 3.6 and then you will get 25.56

The equation f(x)=40-1.25x gives Aisha's savings as a function of the amount of birdseed she buys.

In the equation f(x)=40-1.25xf(x) x represents the number of pounds of birdseed she buys at $1.25 per pound.

Here's what each part of the equation means:

$40 is the total amount of money Aisha has.

$1.25 is the cost per pound of birdseed.

x is the number of pounds of birdseed she buys.

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Answer:

think about what is in between 4 and 4.5

you could put 4.4, 4.3, 4.25, 4.1 etc.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

a.(-1,8), (2,9) b. (2,0) (3,5)

Step-by-step explanation:

a.

for (-4, 7) slope is \(\frac{1}{3}\)

slope is m=rise /run =rise 1/run3 so to go to the next point

from (-4,7)

rise 1 so now you are at (-4,8) and run 3 and you are at (-1,8)

from (-1,8)

rise 1 to (-1, 9) and run 3 to (2,9)

b

(1,-5) slope is \(\frac{5}{1}\)

from (1,-5) rise 5 to (1,0) and run 1 to (2,0)

from (2,0) rise 5 to (2,5) and run 1 to (3,5)

Answer:

(0.5, 0) and (0, -1)

Step-by-step explanation

thanks would be appreciated

Option c is the correct answer

Answer:

A

Step-by-step explanation:

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.

Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.

We can solve this further which will be:

= 4C2

= 4! /2! (4 - 2)!

= 4! / 2!2!

= (4 × 3 × 2)/ 2 × 2

= 24/4

= 6

Therefore, 6 different pairs of fruit can be selected.

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The given function in slope-intercept should be used to complete the table of values as follows;

x                     y

9                    4

6                    2

0                    -2

-3                   -4

A function that relates the distance (d) traveled to the time (t) is d = 120t.

A graph of the function is shown in the image attached below and it is a linear function.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would use the given function in slope-intercept to complete the table of values as follows;

When y = 9, the value of x is given by:

y = 3x/2 + 3

9 = 3x/2 + 3

3x/2 = 9 - 3

3x/2 = 6

3x = 12

x = 12/3

x = 4.

When y = 6, the value of x is given by:

y = 3x/2 + 3

6 = 3x/2 + 3

3x/2 = 6 - 3

3x/2 = 3

3x = 6

x = 6/3

x = 2.

When y = 0, the value of x is given by:

y = 3x/2 + 3

0 = 3x/2 + 3

3x/2 = -3

3x = -6

x = -6/3

x = -2.

When y = -3, the value of x is given by:

y = 3x/2 + 3

-3 = 3x/2 + 3

3x/2 = -3 - 3

3x/2 = -6

3x = -12

x = -12/3

x = -4.

Mathematically, a constant of proportionality (speed) for this train's journey (distance) can be represented with the following mathematical expression:

d = kt

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = d/t

Constant of proportionality (k) = 360/3

Constant of proportionality (k) = 120

Therefore, the required function that relates the distance (d) and time (t) is given by;

d = kt

d = 120t

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The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Answer: 2.4x+2.8=10

Step-by-step explanation:

First, you have to convert your fraction into a decimal to make it easier in your equation later on. 2 2/5= 12/5= 2.4

Next, you should subtract the amount you have set aside from the total amount. 10- 2.8= 7.2

Finally, you should use the decimal you converted from your fraction and either divide it by the amount you have after you have set aside the portion need for the sauce. 7.3/2.4=2

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

1)

Surface area of rectangular prism:

SA = 2( hw + lw + lh )

h= height of prism .

w = width of prism .

l = length of prism .

Substitute the values,

h= 4m

w=1.2 m

l= 13.4 m

SA = 2(4*1.2 + 13.4*1.2 + 13.4*4)

SA = 148.96 m²

2)

Surface area of triangular prism:

SA = (S1 +S2 + S3)L + bh

h= height of prism .

b = base of prism .

S1 , S2 , S3 = sides of triangle .

Substitute the values,

SA = (3+ 4 + 0.5)4 + 0.5*3

SA = 31.5 in²

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Answer:100,000

Step-by-step explanation:

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Answer:

Well dam

Step-by-step explanation:

theres no info ab no plane lol

The amount of tax that is added to the cost of the computer is 159.72

From the question, we have the following parameters that can be used in our computation:

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

h=0.4

Step-by-step explanation:

6.1h=2.44

h=2.44/6.1

h=0.4

Answer:

33/16

Step-by-step explanation:

x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2

dx/dy = y³/2 − 1/(2y³)

Arc length is:

s = ∫ ds

s = ∫ √(1 + (dx/dy)²) dy

s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy

s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy

s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy

s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy

s = ∫₁² ½ √(y³ + 1/y³)² dy

s = ∫₁² ½ (y³ + 1/y³) dy

s = ½ (y⁴/4 − 1/(2y²)) |₁²

s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)

s = 33/16

Answer:

The slope is 2, or 2/1

Step-by-step explanation:

If you count the rise/run, you get 4/2, which simplifies to 2/1, which is the same as 2.

Answer:

Step-by-step explanation:

View the attached graph for what your image should look like.

I hope this helps or gives you a picture of what it should look like, because it's quite a long process.

Hope this helps!