How u solve these I don’t get it :h

Answer:

The three even, consecutive integers are 72, 74, and 76.

Step-by-step explanation:

Let a be the first even integer.

Then the other two consecutive integers, b and c, will be represented by:

[tex]\displaystyle b = a + 2 \text{ and } \\ \\ c = b + 2 = (a + 2) + 2 = a + 4[/tex]

One-sixth of the smallest (that is, a) is three less than one-tenth the sum of the other two even integers (that is, b and c).

Therefore:

[tex]\displaystyle \frac{1}{6} a = \frac{1}{10}\left( b +c\right) - 3[/tex]

Solve for a. Substitute:

[tex]\displaystyle \frac{1}{6} a =\frac{1}{10}\left((a+2)+(a+4)\right) - 3[/tex]

Simplify and solve for a:

[tex]\displaystyle \begin{aligned} \frac{1}{6} a &= \frac{1}{10}(2a + 6) - 3 \\ \\ \frac{1}{6} a &= \frac{1}{5} a + \frac{3}{5} - 3\\ \\ -\frac{1}{30} a &= -\frac{12}{5} \\ \\ a &= 72\end{aligned}[/tex]

Hence, the first even integer is 72.

Therefore, the two other consecutive even integers must be 74, and 76.

In conclusion, the three even, consecutive integers are 72, 74, and 76.

Answer:

y = [tex]\frac{4}{3}[/tex] x - 4

Step-by-step explanation:

Given

4x - 3y = 12 ( subtract 4x from both sides )

- 3y = - 4x + 12 ( divide terms by - 3 )

y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b

Answer:

Step-by-step explanation:

[tex]\sqrt{(1+x)^3} -\sqrt{1+x} \\\\=(1+x)*\sqrt{1+x} -\sqrt{1+x} \\\\=\sqrt{1+x} (1+x-1)\\\\=x\sqrt{1+x} \\\\[/tex]

The solution for s in the given equation is [tex]s = C-nD[/tex]

The question seems to be incomplete

Here is the complete question:

Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex]   Depreciation.

To solve for s, that means we should make s the subject of the equation

From the given equation,

[tex]D= \frac{C-s}{n}[/tex]

To solve for s, first multiply both sides by n to clear the fraction

We get

[tex]n\times D= n \times \frac{C-s}{n}[/tex]

Then,

[tex]nD = C - s[/tex]

Now, add s to both sides

[tex]nD + s= C - s+s[/tex]

[tex]nD+s = C[/tex]

Then, subtract nD from both sides

[tex]nD-nD+s = C-nD[/tex]

∴ [tex]s = C-nD[/tex]

Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]

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Answer:

260x = 170

x=170/260 * 100% = 65.4 %

Step-by-step explanation:

Step-by-step explanation:

17. 2(a+3b)-3(4a+b)

2a+6b-12a-3b

2a-12a+6b-3b

-10a+3b

correct answer is B.-10a+3b

18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)

3a³-6a³-7a²+4a²+8+a

-3a³-3a³+a+8

correct answer is D. -3a³-3a³+a+8

Answer:1 3/4

Step-by-step explanation:

Answer:7/4=1 3/4

Step-by-step explanation:

it is like this,7,we can think of 8,which would 2,but it is 7,so we drop down to 1 whole.Then we have 3 remaining,which makes 1 and 3/4

Answer:

FREEEEEEE POINTSSSSSSS

Step-by-step explanation:

..........................

Answer:

Remaining balance is $12.2

Step-by-step explanation:

see all steps in picture.

Answer:

2x²+16x + 24

Step-by-step explanation:

(x + 6) ( 2x + 4)

x ( 2x + 4) + 6 ( 2x + 4)

2x² + 4x + 12x + 24

2x² + 16x + 24

Hope this helps

The polynomial function [tex](x + 6)(2x + 4)[/tex] expressed as a trinomial is [tex]2x^2 + 16x + 24[/tex].

Given data:

The polynomial function is represented as A.

Now, the value of [tex]A=(x + 6)(2x + 4)[/tex].

On simplifying the equation:

From distributive property to multiply the terms:

[tex]A=x * 2x + x * 4 + 6 * 2x + 6 * 4[/tex]

[tex]A=2x^2 + 4x + 12x + 24[/tex]

On simplifying the equation:

[tex]A=2x^2 + 16x + 24[/tex]

Hence, the trinomial is [tex]2x^2 + 16x + 24[/tex].

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Answer:

x = -6

Step-by-step explanation:

r(x) = -2

x/3 = -2

x = -2 * 3 = -6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a =15, b=2

Axis of Symmetry = [tex]\frac{-b}{2a}[/tex]

[tex]=\frac{-2}{2 * 15}[/tex]

= [tex]-\frac{1}{15}[/tex]

To find the y-value for the vertex sub in the axis of symmetry for x

[tex]y=15(-\frac{1}{15} )^{2}+2(-\frac{1}{15} )-8\\\\=-\frac{121}{15}[/tex]

∴ Vertex [tex](-\frac{1}{15}, -\frac{121}{15} )[/tex]

Step-by-step explanation:

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

Answer:

16

Step-by-step explanation:

x^2 -8x

Take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add 16

Answer:

A. 1.50 x 12 = 13.5 for 12 gallons

B. i dont know sorry

C. 12.60 divided by 1.50 = 8.4 gallons

Step-by-step explanation:

Hey there! I'm happy to help!

We see that at AB is halfway across our line. We see that AC is the total line.

So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.

We first will subtract our x values.

3x-x=2x

And then we subtract our numbers.

-6-5=-11

So, BC is 2x-11.

Have a wonderful day and keep on learning! :D

Answer:

Step-by-step explanation:

Since B is the midpoint, we have:

Substitute and solve for x:

Find BC:

Answer:

1 st angle = 40

2 nd angle= 50

Step-by-step explanation:

Answer:

First angle = 40

Second angle = 50

Step-by-step explanation:

let 1st angle be 4x and 2nd angle be 5x

4x + 5x = 90 [Complementary means the sum of angles is 90]

=> 9x = 90

=> x = 90/9

=> x = 10

First angle = 4x = 4(10) = 40

Second angle = 5x = 5(10) = 50

Answer:

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

Step-by-step explanation:

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

Consider x^2-2/3x+1/3

Remember that (a-b)^2 =a^2-2ab+b^2

x^2=a^2

a=x

-2/3x= -2*x*b

b=1/3

S0 (x-1/3)^2= x^2-2/3x+1/9

x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

The answer is in the above picture.

Step-by-step explanation:

do you happen to have a photo reference your sentence is a bit confusing

Answer:

44 = 4 · g OR g · 4 = 44

Step-by-step explanation:

So first we need to know what a variable is...

A variable is an unknown number in a math sentence

Knowing that we can write the equation.

"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"

Since we do not know Greg's height that is what we will use variable g to substitute it.

"44 is the product 4 and g"

Now all we have to do is convert this into an equation

(Note: Whenever you see product of something know that it means that you need to multiply)

So your final answer is...

44 = 4 · g

(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)

Hope this helps :)

Answer:

224

Step-by-step explanation:

If c = 1 and d = 2:

(-1³ + 2⁴)² - (-1 + 2)³

(-1 + 16)² -(1)³

(15)² -1

225 -1

224

Answer:

540 square feet worth of paper

Step-by-step explanation:

This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.

Answer:

The coordinates are (6.5, 1.7).

Step-by-step explanation:

The difference between A and B's x-coordinate is 15.  7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.

The difference between A and B's y-coordinate is 11.  7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.

Therefore, the coordinates are (6.5, 1.7).

Janet can purchase 36.67 sets of cutlery if each set costs $0.75.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Janet has $65 to spend on paper goods and cutlery, and the paper goods will cost $37.50,

So, she has $65 - $37.50 = $27.50 remaining to spend on cutlery.

Each set of cutlery costs $0.75,

So, Janet can purchase sets of cutlery :

⇒ $27.50 / $0.75

Apply the division operation, and we get

⇒ 36.67

Since it's not possible to buy a fraction of a set, Janet can only buy 36 sets of cutlery.

Therefore, she can purchase 36.67 sets of cutlery.

To learn more about the division operation click here :

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