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mart [117]
3 years ago
6

Solve for each of the following proportions: a. 5/x=30/42 b. x/8=-12/32

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer:

A. x = 7

B. x = -3

Step-by-step explanation:

A.  5/x = 30/42

5/x = 5/7

5 = 5/7 x

5= 5x/7

5 x 7 = 5x

35 = 5x

35/5 = x

7 = x

x = 7

B.  x/8 = -12/32

x/8 = -3/8

x = - 3/8 x 8

x = -  24/8

x = -3

Hope this helps you have a gr8 day :3

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Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
V125BC [204]

No, the expressions –0.5(3x 5) and –1.5x 2.5 are not equivalent.

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.

Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Learn more about Equivalent:

brainly.com/question/26992243

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6 0
2 years ago
A polynomial function has roots –5 and 1. Which of the following could represent this function? f(x) = (x + 5)(x + 1) f(x) = (x
Dimas [21]

f(x) = (x + 5)(x - 1)

using the ' factor theorem '

given x = a is the root of a polynomial then (x - a ) is a factor

here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)

the polynomial is the product of the factors

f(x) = (x + 5)(x - 1)


3 0
3 years ago
Read 2 more answers
Find the equation to the line below.<br> 1<br> [?<br> Х<br> y =
kap26 [50]

Answer:

y= -4/3x

Step-by-step explanation:

hope this helps :)

3 0
3 years ago
A wire 48 m long carries a current of 18 A from west to east.
Arisa [49]

Step-by-step explanation:

Given that,

The length of a wire, L = 48 m

Current in the wire, I = 18 A (west to east)

The magnetic field in the wire, B = 8.3\times 10^4\ T (towards south)

The magnetic force acting on the wire is given by :

F=I(L\times B)\\\\F=48\cdot18\cdot8.3\cdot10^{-4}\ N\\\\F=0.71\ N

Using right hand rule, the direction of magnetic force is upwards.

4 0
2 years ago
Solve for x. PLZ WAIT FOR THE PHTO TO UPLOAD
stepan [7]
6x² - 5x + -21 = 0

Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.

(3x - 7)(2x + 3) = 0

I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.

Then, take each equation and make it equal zero.

3x - 7 = 0 AND 2x + 3 = 0

3x - 7 = 0

Add 7 to both sides.

3x = 7

Divide both sides by 3.

x = 7/3

Now, we do our second equation.

2x + 3 = 0

Subtract 3 from both sides.

2x = -3

Divide both sides by 2.

x = -3/2

So, x = 7/3 AND x = -3/2

So, your answer is C) x = 7/3, x = -3/2

~Hope I helped!~
7 0
3 years ago
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