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3 years ago

(5x)/6 + 11/4 = 17/3

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for x by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

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Kadeem rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which equation represents the amount of time in minutes,

sashaice [31]

Answer:

Step-by-step explanation:

Speed is the rate of change of distance over time.

The equation represents the amount of time t is \mathbf{t = 5 d}t=5d

Speed is calculated using:

\mathbf{Speed = \frac{distance}{time}}Speed=timedistance

When distance = 1 mile, and time = 5 minutes.

We have:

\mathbf{Speed = \frac{1}{5}}Speed=51

When distance = d, and time = t

We have:

\mathbf{Speed = \frac{d}{t}}Speed=td

Substitute \mathbf{Speed = \frac{1}{5}}Speed=51

\mathbf{\frac{d}{t} = \frac 15}td=51

Cross multiply

\mathbf{t = 5 \times d}t=5×d

\mathbf{t = 5 d}t=5d

Hence, the equation represents the amount of time t is \mathbf{t = 5 d}t=5d

5 0

2 years ago

Read 2 more answers

Does anyone know the answer???

Fiesta28 [93]

Answer:

-2

Step-by-step explanation:

41 - 8m - 57 = 0

41- 8m = 57

-8m = 57-41

-8m = 16

m = -16/8

m = -2

8 0

3 years ago

Read 2 more answers

True of False:

Paul [167]

Probably:

True.

Probably.

3 0

3 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

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

Factor Theorem

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

Answers choices <1 <4 <2 <3

Maslowich

Answer:

B) 4

Step-by-step explanation:

1. It is either 3 or 4, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, 4 is the only angle that is below its corresponding horizontal.

So, the angle of depression from the lighthouse to the boat is 4.

7 0

3 years ago