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Svetradugi [14.3K]
3 years ago
13

When I solved this equation I got x=0.5

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

You might have made an error the first time you solved for x. I got x = -0.5.

When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:

2x + 3 = 4^(1/2) ... Simplify

2x + 3 = 2

2x = -1

x = -1/2

If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?

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What equals -1.5 + =0
PtichkaEL [24]

Answer:

1.5 +-1.5=0

-Hope this helps <3

5 0
3 years ago
Read 2 more answers
Name the shape that will result from connecting the following points: (-4,1) , (-4,-4), (0,) , and (0,-6).
Dahasolnce [82]

Answer:

The shape is a quadrilateral

Step-by-step explanation:

we have

A(-4,1),B(-4,-4),C(0,-1),D(0,-6)

Using a graphing tool

Plot the figure

see the attached figure

we know that

A quadrilateral is a four-sided two-dimensional shape

Additionally  the opposite sides of the figure are parallel and equal in length

so

Is a parallelogram too

4 0
3 years ago
Mitch bought four cookbooks and one novel for a total of $68.75. Each cookbook cost the same price. Thenovel cost $7 dollars les
ehidna [41]

Answer:

Each cookbook cost $15.15.

Step-by-step explanation:

Since the statement indicates that four cookbooks and one novel cost $68.75, you can write the following equation:

4x+y=68.75, where:

x is the price of cookbooks

y is the price of novels

Also, given that the novel cost 7 dollars less than a cookbook, you can write the following equation:

x=y+7

Now, you can replace x=y+7 in the first equation:

4(y+7)+y=68.75

4y+28+y=68.75

5y=40.75

y=40.75/5

y=8.15

Now, you can replace the value of y in x=y+7:

x=8.15+7

x=15.15

According to this, the answer is that each cookbook cost $15.15.

5 0
3 years ago
Which of the following represents the factorization of the trinomial below?<br>x2 - 6x +9​
valentinak56 [21]

For this case we must factor the following expression:

x ^ 2-6x + 9

We must find two numbers that, when multiplied, result in 9 and when added, result in -6.

These numbers are -3 and -3.

-3-3 = -6\\-3 * -3 = + 9

Then, the factored expression is of the form:

(x-3) (x-3) = (x-3) ^ 2

Thus, the correct option is option C.

ANswer:

Option C

3 0
3 years ago
What is the distribution property of 4 times 37
hjlf

Answer:

  4(30 +7) = 120 +28 = 148

Step-by-step explanation:

When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.

  4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148

___

You can also break apart 37 other ways:

  4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148

  4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148

Or, you can break apart 4:

  37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148

_____

The distributive property is usually written in generic form as ...

  a(b+c) = ab +ac

Then you may want to stop after the first couple of steps:

  4(30 +7) = 4·30 +4·7

We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.

7 0
3 years ago
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