Which expression is equivalent to 20c - 8d

Answer:

yes, it is

Step-by-step explanation:

10 = 4(2) + 2

10 = 8 +2

10 = 10

10  = 2 + 8

10 = 10

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x      -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

     - 8    - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3    /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

More about the function link is given below.

https://brainly.com/question/5245372

Answer: 22 ft

Step-by-step explanation:

The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.

The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.

[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]

Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.

Answer:

17%

Step-by-step explanation:

subtract/originial*100=lercent change

4.08/24=0.17*100=17

The answer is 17%

Step-by-step explanation:

[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]

0.2m^3 = 0.0000002 cm^3

Answer:

A He should ask his students to know what they prefer

Step-by-step explanation:

[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]

The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;

The volume of the vessel, v = π•r^2•h/3

[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]

h = 5•r

Therefore;

v = π•r^2•(h)/3 = π•(h/5)^2•h/3

v = π•h^3/75

By chain rule of differentiation, we have;

[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]

Which gives;

[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]

When the height is 12 cm from the vertex, we have;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]

When the vessel is one-quarter filled, we have;

v = π•h^3/75

π•(40)^3/(75×4) = π•h^3/75

10•(40)^2 = 16,000 = h^3

h = (16,000)^(1/3) = 25 (approx)

Which gives;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]

When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.

Learn more about rate of change here:

https://brainly.com/question/20066447

Answer:

  = 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

  12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

  12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

Answer:

(a) x<=2

(b) x>-2

(c) x>=10

(d) x<-20

n = last test

(87 + 78 + 61 + n) : 4 = 78,5

87 + 78 + 61 + n   = 78,5 x 4

n = 314 - 226

n = 88

Answer:

Hello there! The answer is 3 seconds.

Answer:

X< 7/8

Step-by-step explanation:

X< 2/7×4

X< 2×4/7

X< 7/8

Answer:

[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate it on one side of the equation.

x/4+<2/7

First, multiply by 4 from both sides.

x/4*4+4<2/7*4

Solve.

2*4=8

Rewrite the problem down.

x+4<8/7

Then, you subtract by 4 from both sides.

x+4-4<8/7-4

Solve.

x<-20/7

Therefore, the correct answer is x<-20/7.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

find the product of (4m-n) and (3m-2n)

Answer:

19 the explanation is 19 46

Answer:

123

Step-by-step explanation:

Add 4 enough times to 11 and you will get there.

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]

I am joyous to assist you at any time.

[tex] \huge \underline\text{ Hello There}[/tex]

[tex] \text{We know, Pythagoras Theorem}[/tex]

[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]

[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]

[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]

[tex] \huge \underline\text \red {Solution}[/tex]

[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]

[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]

[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]

Answer:

$103.75

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)

8.30 hours x $12.50 per hour: $103.75

Answer:

X = 2.8

Step-by-step explanation:

5x+2=16

5x=16-2

5x=14

x=14÷5

x=2.8

Hope that helps!

Answer:

B. There is not convincing evidence because the interval contains 0.

Step-by-step explanation:

96cm

Step-by-step explanation:

From the question,

Area of rectangle(A) =Area of square(A)

or,32*18=Area of square

or, 576= l^2

or√576=l

or, 24cm

Now, we know,

Perimeter of the square=4l

=4*24cm

=96cm

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

Answer:

b i took this exam 90% sure its B

Step-by-step explanation:

B

B

B

second 1

Answer:

She has about 2 choices

Step-by-step explanation:

7 ÷ 3 ≈ 2.3

≈ 2

Answer:

A. 8(3 + 8x)

Step-by-step explanation:

Hope it helps you in your learning process

[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]

Hope that helps!