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jeka57 [31]
3 years ago
10

How do you answer this?

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Answer:

<h2>x= -3/2</h2>

Step-by-step explanation:

((4)²)^x = 1/(4)³

4²^x = 4³

thus the powers are same then

2x =-3

<h2>x=-3/2</h2>
Sergeeva-Olga [200]3 years ago
5 0

Answer:

x = - \frac{3}{2}

Step-by-step explanation:

Using the rules of exponents

(a^m)^{n} = a^{mn}

a^{-m} ⇔ \frac{1}{a^m}

Note that 16 = 4² and 64 = 4³ , then

16^{x} = \frac{1}{64} , can be expressed as

(4^2)^{x} = \frac{1}{4^3} , that is

4^{2x} = 4^{-3}

Since the bases on both sides are equal, then equate the exponents

2x = - 3 ( divide both sides by 2 )

x = - \frac{3}{2}

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What method would best to solve x=5y. 2x-3y=7
ser-zykov [4K]

Answer:

substituting x=5y into 2x-3y=7, Answer: y = 1 x = 5

Step-by-step explanation:

2(5y)-3y=7

10y-3y=7

7y=7

y=1

substitute y=1 into x=5y

x=5(1)

x=5


8 0
3 years ago
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
weeeeeb [17]

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

8 0
2 years ago
A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing
Deffense [45]

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

8 0
2 years ago
57 plus what equals 86
Jet001 [13]

Answer:

29

Step-by-step explanation:

57+x=86

x=86-57

x=29

3 0
3 years ago
Read 2 more answers
Given I have multiplication of integers, with an odd amount of neg(-) signs what; is the sign of my final answer?
storchak [24]
The answer of the final sign should be negative
7 0
3 years ago
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