There are 60 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?

Therefore, the factored form of 2x²+7x+3 is (2x + 1)(x + 3).

In mathematics, a factor refers to a number or quantity that, when multiplied with another number or quantity, produces a given result. For example, 2 and 3 are factors of 6, since 2 x 3 = 6. In algebra, factoring involves breaking down a polynomial expression into simpler expressions, or factors, that can be multiplied together to obtain the original expression.

Here,

To factor 2x²+7x+3, we need to find two binomials that when multiplied together result in 2x²+7x+3.

To do this, we can use the factoring by grouping method:

Multiply the leading coefficient and the constant term: 2 * 3 = 6

Find two numbers that multiply to 6 and add to the coefficient of the x-term (7): 6 and 1

Rewrite the middle term using these two numbers: 2x² + 6x + x + 3

Group the first two terms and factor out the greatest common factor (GCF) of 2x: 2x(x + 3)

Group the last two terms and factor out the GCF of 1: 1(x + 3)

Notice that both groups have a common factor of (x + 3), so we can factor it out: (2x + 1)(x + 3)

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Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

y = -2/3x + 3

Step-by-step explanation:

Parallel lines have the same slope so we already know

y = -2/3x + b

Solve for b using the point given

-1=-2/3(6)+b

-1+4=b

b=3

y = -2/3x + 3

Answer:

Step-by-step explanation:

There are 5 marbles

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Answer:

I think D

bc move decimal 5 places over and you get d

maybe

Answer:

yeaa this is hard but i will help u if i knew what the answer was srry ma g

Step-by-step explanation:

The integral for the volume of the solid is obtained by rotating the region bounded by the given curves about the specified axis is  V = 2\(\int\limits^ π/3_\)\(_{0}\) \({x} tan(x) - x^{2} dx\)

When we rotate a thin vertical strip, about the y-axis.

We get a cylindrical shell  with an inner of radius an x and an outer of radius x + dx

The height of the cylinder shell is tan (x) - x

The volume of the cylindrical shell is

     dV = π \((Outer Radius)^{2} (Height)\) - π\((Inner Radius)^{2} (Height)\)

     dV = π \((x + dx )^{2} (tan(x) - x)\) - π \((x )^{2} (tan(x) - x)\)

dV = π\((x^{2} + 2 xdx + (dx)^{2} ) (tan(x) - x)\) - π \((x)^{2} (tan(x) - x)\)

assume \(dx^{2}\)≈ 0

            dV = π\((x^{2} + 2xdx + 0 - x^{2} ) (tan(x) - x)\\\)

                    dV = 2πx (tan(x) - x) dx

                   V = 2\(\int\limits^ π/3_\)\(_{0}\) \({x} tan(x) - x^{2} dx\)

Therefore, the integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis is  

V = 2\(\int\limits^ π/3_\)\(_{0}\) \({x} tan(x) - x^{2} dx\) .

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The correct question is:

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

y=tanx,y=x,x=π/3; about the y-axis

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

The complex numbers corresponding to the given points in the complex plane are:

A: -2 + 3i

B: -1 - i

C: 3 - 4i

D: 4

What are complex numbers?

The complex number is the combination of a real number and an imaginary number. An example of a complex number is 4+3i. Here 4 is a real number and 3i is an imaginary number.

In the complex plane, the horizontal axis represents the real part of a complex number and the vertical axis represents the imaginary part. Using this information, we can identify the complex numbers corresponding to the given points:

A: [-2] + [3]i

This corresponds to the point (-2, 3) in the complex plane.

B: [-1] + [-1]i

This corresponds to the point (-1, -1) in the complex plane.

C: [3] + [-4]i

This corresponds to the point (3, -4) in the complex plane.

D: [4] + [0]i

This corresponds to the point (4, 0) in the complex plane.

Therefore, the complex numbers corresponding to the given points in the complex plane are:

A: -2 + 3i

B: -1 - i

C: 3 - 4i

D: 4

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Answer:

42 = angle 4

Step-by-step explanation:

angle 9 and angle 7 are vertical angles therefore they are both equal to each other and are 105 degrees.

angle 2 and angle 5 are vertical angles, so they are both 63 degrees.

angle 7 and the sum of angles 5 and 4 are alternate interior angles, so they are congruent, giving us the equation:

105 = angle 4 + 63

42 = angle 4

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

There are 28 trucks in the parking lot

Step-by-step explanation:

First, to find the unit rate we need to do 49/7 which = 7. So, now we know that the unit rate is 7. You have to multiply 7 x 4 to get the answer 28.

Hope this helps!

Answer:

The answer is actually the 3rd customer

Step-by-step explanation:

Answer:

I would say between 7 and 10 ft

Step-by-step explanation:

Answer:

You're correct

Step-by-step explanation:

The last angle is 65 so that between the other two angles

And the lengths are opposite those angles

47: 7 ft

68: 10ft

So 65 will be between 7 and 10

Please give me brainliest

The gallons of ice cream 4 machines can make is 650 gallons.

Two ice cream machines make a total of 320 gallons in a certain amount of time.

Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:

Therefore,

If 2 ice cream machine = 320 gallons

4 ice cream machine = ?

cross multiply

Hence,

gallons of ice cream made by 4 machines = 320 × 4 / 2

gallons of ice cream made by 4 machines = 1280 / 2\

Therefore,

gallons of ice cream made by 4 machines = 640 gallons

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Answer: D) (-19,-13), see attached picture

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

we expand the first formula by 5.

5(2x+y) = 20x5

10x + 5y= 100

then we add the two formulas together.

10x+5y+6x-5y = 100+12

since the 5y can be cancelled out, it is much easier.

16x = 112

   x=7

now we can put x=2 into the first formula.

2x7+y =20

        y=6

Answer:

I know that the y-intercept is 5

Step-by-step explanation:

because the line goes through 5

Answer:

y = -4/5x + 5

Step-by-step explanation:

You need the equation y = mx + b

the y intercept is 5  which is b

You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)

I will use  point (5, 1)

So plugging in that coordinate and the value for b in the equation

y = mx + b is  (1) = m(5) + 5

Solve for m   m= -4/5

so plug m and b back into the equation y = mx + b

is

y = -4/5x + 5

Answer:

village market

Step-by-step explanation:

5 times 2.30 =11.5

10 times 5.10 =51

11.5 times 2 =23

51 to 23

brainliest please thank you

Answer:

Answer vary:

The better buy is 5 cans of green beans at the Village Market.

Step-by-step explanation:

honestly in my opinion that‘s my answer.

if 10 cans cost $5.10 and 5 cans cost $2.30, think about if you add another $2.30 for another 5 cans the cost is $4.60 and you get 10 cans. and that’s obviously cheaper than the other buy.

10 cans = $5.10

5 cans = $2.30.    

(the 5 can offer)

2.30+2.30= $4.60

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

x = 12

Step-by-step explanation:

Answer:48 seconds per lap

Step-by-step explanation: 60 seconds per minute x 4 minutes= 240 seconds per lap. 240 seconds divided into 5 laps is 48 seconds per lap

Answer:

Its 15 (x=15)

Step-by-step explanation:

I mean 15-3 is 12

Answer:

x = 15 is your solution.

Step-by-step explanation:

To find out what your answer is, plug in the given solutions for the variable, x, in the given equation:

When x = 9:

x - 3 = 12

(9) - 3 = 12

6 ≠ 12

When x = 15:

x - 3 = 12

(15) - 3 = 12

12 = 12

~

4y²x(xy-2x²)​=4y³x²-8y²x³

Answer:

4y³x² -  8x³y²

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4y²x(xy - 2x²)

Step 2: Multiply

Step-by-step explanation:

hi there is that OK bye por a tex dimu tho and I

Answer:

-3/2

Step-by-step explanation:

use slope formula

\(m = \frac{ - 1 - ( - 7)}{3 - 7} \)

\(m = \frac{6}{ - 4} \)

\(m = - \frac{3}{2} \)

Answer:

x=15°

Step-by-step explanation:

5x-12°+95°+x+7°=180°

6x+90°=180°

6x=90°

x=15°

Answer:

-6

Step-by-step explanation:

The slope of a perpendicular line has the slope of the opposite and reciprocal of the current line. We would get -1/6 and then -6.