What is the product of 3x+4 and 6x2−5x+7?

Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).

f(-3) = -2(-3)^2+(-3)+3

f(-3) = -2(9)+(-3)+3

f(-3) = -18-3+3

f(-3) = -18 is your final answer

Answer:

Step-by-step explanation:

[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]

[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]

[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]

[Cross Multiplication]

=> 2(5m - 10) = 6(5m - 10)

=> 10m - 20 = 30m - 60

=> 60 - 20 = 30m - 10m

=> 40 = 20m

[tex] = > m = \frac{40}{20} [/tex]

=> m = 2 (Ans)

Here we have some given restrictions that affect the number of medals, using these, we want to find the maximum number of bronze medals that can be awarded.

We will find that:

The maximum number of bronze medals that can be awarded is 535

Now let's see how we can get that.

Let's define the variables:

G = number of gold medals.

S = number of silver medals.

B = number of bronze medals.

Now we can see what information we have.

There are 2021 participants.

The number of silver medals is at least twice the number of gold medals.

S ≥ 2*G

The number of bronze medals is at least twice the number of silver medals:

B ≥ 2*S.

The number of all medals is not more than 40% of the number of participants.

The total number of medals is (G + S + B)

40% of the total number of participants is:

(40%/100%)*2021 = 0.4*2021 = 808.4

Then we have:

G + S + B ≤ 808.4

We can rewrite the above inequality as:

G + S + B ≤ 808.

Then we have 3 inequalities:

S ≥ 2*G

B ≥ 2*S

G + S + B ≤ 808

Now we want to maximize the number of gold medals.

This means that the total number of medals should be exactly 808 (the maximum number of total medals) so we have:

G + S + B = 808.

Also, if we want to maximize the number of gold medals, then we need to minimize the number of silver medals and the number of bronze medals, such that we get:

S = 2*G

B = 2*S

Now we have 3 equations:

G + S + B = 808

S = 2*G

B = 2*S

Replacing the third equation in the first one, we get:

G + S + 2*S = 808

G + 3*S = 808

Now we can replace:

S = 2*G

in the above equation to get:

G + 3*(2*G) = 808

G + 6*G = 808

7*G = 808 =

G = 808/7 = 115.43

But we can have 0.43 of a gold medal, so we need to round down to the next whole number:

G = 115

Now, with this restriction, we want to find the maximum number of bronze medals.

This means that we need to minimize the number of silver medals, so we use:

S = 2*G = 2*115 = 230

And the number of bronze medals will be such that:

B + G + S  = 880

B + 115 + 230 = 880

B = 880 - 115 - 230 = 535

The maximum number of bronze medals that can be awarded is 535

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Answer:

12.75

Step-by-step explanation:

Given the equations

x - y = 3.5 → (1)

[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )

x + y = 22 → (2)

Add (1) and (2) term by term to eliminate y

2x + 0 = 25.5

2x = 25.5 ( divide both sides by 2 )

x = 12.75

Substitute x = 12.75 into (2)

12.75 + y = 22 ( subtract 12.75 from both sides )

y = 9.25

The 2 numbers are 12.75 and 9,25

With the larger number being 12.75

Answer:

c.15+2z/6x-12y

f.7a+b/4a-6b

Step-by-step explanation:

z+1/x-2y - 2x-3/2x-4y + z/3x-6y

z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)

6(z+1)-3(2z-3)+2z

15+2z/6x-12y

3a/2a-3b - a+b/2(-3b+2a)

6a+a+b/2(2a-3b)

7a+b/4a-6b

Answer:

x is the base in (x^2 + 3)

Step-by-step explanation:

The base is x because it is being raised to a square or to the 2nd power  in (x^2 + 3). The base of an expression or exponent is always the number that is being raised to a power.  

In the expression (x2 + 3), the base is x.

[tex]\\ \rm\longmapsto \dfrac{5L}{250mL}[/tex]

[tex]\\ \rm\longmapsto \dfrac{5000mL}{250mL}[/tex]

[tex]\\ \rm\longmapsto \dfrac{20}{1}[/tex]

[tex]\\ \rm\longmapsto 20:1[/tex]

Answer: 3x(x+4)(x+5)

Step-by-step explanation:

Answer:

The hourly charge for labor is $11.10.

Step-by-step explanation:

Assuming there is no flat rate

166.50/15 = h

h represents the hourly charge

h = 11.10

Answer:

5d² - 3d

Step-by-step explanation:

Given

4d² + d² - 2d - d ← collect like terms

= (4 + 1)d² + (- 2 - 1)d

= 5d² + (- 3)d

= 5d² - 3d

We have that The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

From the Question we are told that

Time t=8 minutes

Height h=500

Descended height h_d= 280 feet.

Generally the equation for the linear function  is mathematically given as

Let

Height as a linear function =x

[tex]x=\frac{h_d-h}{t}*T+h[/tex]

[tex]x=\frac{280-500}{8}*T+500[/tex]

[tex]x=-27.5T+500[/tex]

In conclusion

The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

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Answer:

2

Step-by-step explanation:

√20 ÷ √5

√20/√5

=> √(20/5)

=> √4

=> 2

(x+3)(x^2-3x+27)

x^3-3x^2+27x+3x^2-9x+81

x^3+19x+8

Answer:

area= 9 pi km²

circumference= 6 pi km

Step-by-step explanation:

area = pi r ²

so pi × 3²

area = 9 pi km²

circumference = d × pi

so 6 pi km

Answer:

A no. ans is 17a/20

B no. ans is 10c-7d/35

C no. ans is +1/−1⋅2/2⋅−1⋅3/2⋅−1⋅4

Answer:

A.) w² + 3w in²

B.) 28 in²

Step-by-step explanation:

A.)

Let w = width and l = length.

    The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.

A(rectangle) = lw = (w + 3) · w = w² + 3w

B.)

Use the polynomial we previously found to find the area.

A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²

Model:

Answer:

let the number of snacks bought be x

f(x) = 7 +2.5(x)

=> f(x) is the amount you spend in total

Answer:

700 and 600

Step-by-step explanation:

please give me brainly <3

Step-by-step explanation:

I am sure you mistyped something here and/or there is something missing.

because 146 - 144 = 2

and nothing in the answer options shows anything like it.

now, if the problem actually said for example

14×6 - 14×4

that could be expressed as

14×(6-4) = 14×2

and that could be the first answer option (also with missing multiplication symbol).

Answer:

We can cancel out A and B because there is no distributive property, and then I would say its C or the 3rd one.

Step-by-step explanation:

I used the cancelling out method.

Let the width, w = x m

So, according to the Question,

The length, l = 3x m

Perimeter of a rectangle = 2 (l + w) m

Perimeter of the rectangle = 96 m

It's equation will be,

2 (3x + x) m = 96 m

or, 4x m = 96/2 m

or, 4x m = 48 m

or, x m = 48/4 m

or, x m = 12 m

Therefore, the width and the length of the rectangle is 12 m and 3(12) m = 36 m respectively.

The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).

$3.56    $3.29     $3.26

  |------------|------------|

To order the prices from greatest to least, we'll compare the amounts spent on each day:

1. Wednesday: $3.56

2. Thursday: $3.29

3. Tuesday: $3.26

So, in order from greatest to least, the prices are:

$3.56 > $3.29 > $3.26

Now, let's represent this order on a number line:

 $3.56        $3.29        $3.26

  |------------|------------|

The number line visually shows the order of the prices, with $3.56 on the right (the greatest), followed by $3.29, and then $3.26 on the left (the least).

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Answer: y = (-1/2)x + 2

Concept:

When two lines are perpendicular to each other, their slopes are negative reciprocals.

The reciprocal of a number is 1 divided by the number.

In other words, it is the image opposite of a term.

Solve:

Given information

Given line = y = 2x - 5

Point = (-4, 4)

Find the slope of the line

Given the line is perpendicular to the line y = 2x - 5, the slope of the line would be negative reciprocal of the line y = 2x - 5.

Slope of line [y = 2x - 5] = 2

Slope of new line = (-1/2)

Find the y-intercept by substituting the given point

Equation of the new line: y = (-1/2)x + b

y = (-1/2)x + b

4 = (-1/2) (-4) + b

4 = 2 + b

4 - 2 = 2 + b - 2

b = 2

Finalize the equation of the line

Slope = -1/2

Y-intercept = 2

[tex]\boxed{y=-\frac{1}{2}x+2 }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

303/25 is an equivalent fraction form for decimal 12.12.

Answer:

True

Step-by-step explanation:

Every number to the power of 0 is equal to one, so 2⁰ = 1 it's true

and every number to the power of 1 is equal to itself, so

5¹ = 5, also true

Answer:

Remove the radical by raising each side to the index of the radical.

n= 25.

Hey there! I'm happy to help!

This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).

Our radius is 3cm.

3

We square it.

3²=9

Multiply by 3.14.

9×3.14=28.26

Now that we have our circle base area, we multiply it by the height (7 cm).

28.26×7= 197.82

This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.

197.82/2=98.91

We can also multiply our circle base by 3.5, which will give us half of the full height.

So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.

Have a wonderful day and keep on learning! :D