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Kryger [21]
2 years ago
11

Evaluate the expression 2x-(4y-3)+5xz, when x=-3,y=2, and z=-1

Mathematics
1 answer:
AVprozaik [17]2 years ago
3 0

Answer: 4

Step-by-step explanation:

2x - (4y - 3) + 5xz

Let  x = -3, y = 2, and z = ‐1.

2(-3) -( 4(2) -3) +5(-3)(-1)

-6 - (8-3) +15

-6 - 5 +15

-11 +15

4

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Help please don't get it!!!!!!!!!!!!!!
Zielflug [23.3K]
Answer: Choice A) 1/9

--------------------------------------------
--------------------------------------------

Work Shown:

Replace every x with -4 and then simplify the right side

f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9

Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones. 
3 0
3 years ago
What is the factored form of 11x-x^2=0
Aleks [24]

Answer: x(11-x)=0

Step-by-step explanation:

Given the quadratic equation 11x-x^2=0, you need to factor it.

In order to find the form asked of the given equation, you need to factor out the common factor of the terms.

You can observe that the common factor of the terms of the equation is: x

Now, knowing this, you must factor out x. Then you get the following form:

x(11-x)=0

Therefore, the factored fom of the equation  11x-x^2=0 is:

 x(11-x)=0

3 0
3 years ago
Phil has 5 times as many toy race cars as Richard has. Phil has 425 toy race cars. How many race cars does Richard have? *
Wewaii [24]

Answer:

85

Step-by-step explanation:

425 divided by 8= 85

4 0
2 years ago
Read 2 more answers
Help ASAP. Find the value of x.
Veronika [31]
(3x+1) = 64
3x = 63
3x/3 = 63/3
x = 21
5 0
3 years ago
A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an
mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft  and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin C=\frac{AB}{AC}

Putting values,

\sin 30^\circ} =\frac{10}{AC}

We know, \sin 30^\circ}=\frac{1}{2}

\frac{1}{2} =\frac{10}{AC}

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0
3 years ago
Read 2 more answers
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