fill in the blanks _ + _ = 10.5

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]

at x₁ = a,

[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]

at x₂ = a+h,

[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      [tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]

as a+h-a = h, so    

                      [tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

Thus, the everarge rate of chnage:  [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

We can further simplify such as:

[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]

Cancel the common factor h

[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]            

Answer: X = 7.

Step-by-step explanation: Move all terms that don't contain x to the right side and solve.

I'll go step-by-step.

1. Add 5 to both sides. 6x-(5+5)=37+5

2. Simplify 6x=42

3. Divide both sides by 6.   [tex]\frac{6x}{6} =\frac{42}{6}[/tex]

4. Then simplify/Divide. 42 / 6 = 7  

That's how you get 7!

X = 7

Hey there!

6x - 5 = 37

ADD 5 to BOTH SIDES

6x - 5 + 5 = 37 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 37 + 5 because it help solve for the x-value

NEW EQUATION: 6x = 5 + 37

SIMPLIFY IT!

6x = 42

DIVIDE 6 to BOTH SIDES

6x/6 = 42/6

CANCEL out: 6/6 because it give you 1

KEEP: 42/6 because it gives you the x-value

NEW EQUATION: x = 42/6

SIMPLIFY IT!

x = 7

Therefore, your answer is: x = 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

2.5 + 0.15p = 0.4p

0.25p = 2.5 (subtract 0.15p on both sides)

p = 10 (multiply 4 on both sides)

Answer:

[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]

10 is the right answer.

Answer:

I can't help if I can't see the question

Answer/Step-by-step explanation:

4. The product of ⅓ and a => ⅓ × a = [tex] \frac{1}{3}a [tex] or [tex] \frac{a}{3} [/tex]

5. a divided by 3 => a ÷ 3 = ⅓a

6. Subtracting ⅓ from b => [tex] b - \frac{1}{3} = \frac{b}{1} - \frac{1}{3} = \frac{3b - 1}{3} [/tex]

Answer:

-3.65

Step-by-step explanation:

We use the rules of division

Then we divide

[tex] - (27.375 \div 7.5) \\ - 3.65[/tex]

Answer:

-3.65

Step-by-step explanation:

-27.375/7.5

= - 3.65

Plz mark me Brainliest

Answer:

A) Each point will translate 1 unit left and 2 units down

Step-by-step explanation:

I got it right in my test Answer A

Answer:

A should be 40 if not sorry

Step-by-step explanation:

Answer:

40 is da right answer,you will see little william

Answer:

2a^4 +12a

[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]

Answer:

C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]

Step-by-step explanation:

We are given:

[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]

We need to find C-D.

Finding C-D we actually have to subtract D from C

So, finding C-D

[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]

Now, combining the like terms.

Like terms are those that have same variables and exponents.

In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]

[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]

So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Answer:

written function is 5n-8

Step-by-step explanation:

there is no y-intercept

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

Answer:

no is 100 fluid ounces.

Answer:

the song is a break up

Step-by-step explanation:

honestly I find it very good but its funny because I grew up being obsessed with bizrdvark which is a kids show on Disney she was on

Answer:

111.6

Step-by-step explanation:

92.8+28.7=121.5

121.5-9.9=111.6

Answer:

x=25°

Step-by-step explanation:

Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.

Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.

in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25

Answer:

yes because 96/6 equals 16, and 6x16=96

Step-by-step explanation:

KA-BOOM!!! meh

Answer:

Yes it is

because 96/6 = 16

And if you flip it you'll get the same thing

Step-by-step explanation:

Answer:

f(8) = -9

Step-by-step explanation:

Substitute 8 in for x.

f(8) = -2(8) + 7

f(8) = -16 + 7

f(8) = -9

Answer:

x>70/11

Step-by-step explanation:

Answer:

0.333333 or 1/3

Step-by-step explanation:

I hope it is 1 to 6.

2 or 3 is the 2 numbers representing success

P(2 or 3) = 2/6 = 1/3

I don't understand the choices. Can you upload a picture of the question?

Answer:

C

Explanation:

:) hope this helps

Answer: 8

Step-by-step explanation:

8/2 + 5 =9 in desmos

9514 1404 393

Answer:

  215.6 cm^2

Step-by-step explanation:

The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...

  A = LW

  A = (12.25 cm)(3.25 cm) = 39.8125 cm^2

The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...

  A = (7.25 cm)(3.25 cm) = 23.5625 cm^2

The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...

  A = (12.25 cm)(7.25 cm) = 88.8125 cm^2

Then the total area is ...

  area = middle rectangle + 2×side wings + 2×top/bottom wings

  = 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2

The area of the figure is about 215.6 cm^2.

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

 (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

Answer:

The other guy is wrong. The correct answer is Option C.

Step-by-step explanation:

It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C

Answer: what’s the problem?

Answer:

a²+b²=c²

Step-by-step explanation:

Answer:

[tex]y = 25x +1950[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (30,2700)[/tex]

[tex](x_2,y_2) = (50,3200)[/tex]

Required

Determine the linear function

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]

[tex]m = \frac{500}{20}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 2700 = 25(x - 30)[/tex]

[tex]y - 2700 = 25x - 750[/tex]

Make y the subject

[tex]y = 25x - 750 + 2700[/tex]

[tex]y = 25x +1950[/tex]

Answer: 4n^2

Step-by-step explanation: -3n^2 - (-7n^2) = -3n^2 + 7n^2= 4n^2. When adding and subtracting the exponents stay the same only the coefficients are subtracted or added

Answer:

21

Step-by-step explanation:

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