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3 years ago

Another question 5x + 8 = 7x + 2

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

Answer: x=3

Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.

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Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated

dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

$P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A$

Where,

W: percentage of wetland

R: percentage of residential area

A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

$P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\$

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

$P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49$

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

6 0

3 years ago

Which exponential equation is equivalent to this logarithmic equation?

Lubov Fominskaja [6]

Answer:

$\displaystyle B)x = {5}^{9}$

Step-by-step explanation:

we are given a logarithmic equation

$\displaystyle \log_{5}(x) - \log_{5}(25) = 7$

simplify the log:

$\displaystyle \log_{5}(x) -2 = 7$

add 2 to both sides:

$\displaystyle \log_{5}(x) = 9$

remember that,

$\displaystyle \log_{a}(b) = c \iff {a}^{c} = b$

so we obtain:

$\displaystyle x = {5}^{9}$

hence,

our answer is B)

4 0

3 years ago

Read 2 more answers

Which equation represents a line that passes through (4, 1/3,) and has a slope of 3/4 ?

Aleks [24]

Answer:

second option

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = $\frac{3}{4}$ and (a, b) = (4, $\frac{1}{3}$ ) , thus

y - $\frac{1}{3}$ = $\frac{3}{4}$ (x - 4)

4 0

3 years ago

Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?

kkurt [141]

The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.

<h3>What is transformation?</h3>

This is process of converting one expression to the other by performing some mathematical operations.

<h3>How to transform x² + 10x + 24 = 0 into the form (x − p)² = q </h3>

x² + 10x + 24 = 0

We add 1 to both sides.So,

Step 1: x² + 10x + 24 + 1 = 0 + 1

Thus, we have

Step 2: x² + 10x + 25 = 1

Since the left-hand-side x² + 10x + 25 = (x + 5)²

So, we have

x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

Learn more about transformation here:

brainly.com/question/27224339

3 0

2 years ago

A table with a round top is cut in half so that it can be used against a wall after it is cut the edge along the wall is 6 feet

liraira [26]

Answer:

9π ft²

Step-by-step explanation:

translate to math this is asking you to find the area of HALF of a circle with a diameter of 6 feet.

find the radius, half of the diameter, 3 feet

area of a circle is pi times the radius squared $A=\pi r^{2} \\\A=\pi 3^{2} \\A=\pi 9\\=9\pi ft^{2}$

8 0

2 years ago